Study on the kinetics of tomato storage quality under water and fertilizer coupling

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Abstract In order to make full use of the yellow sand resources in Xinjiang, China, under the mixed substrate cultivation mode with the volume ratio of yellow sand to slag of 5:3, in order to improve the yield and storage quality of tomato, provide optimized water and fertilizer management scheme, and explore the dynamic changes of water and fertilizer coupling on the quality of Tomato during storage, a dynamic model of tomato fruit quality under 4 ℃ storage was established.The tomato variety 'Qinshulingyue' was used as the experimental material. Irrigation amount, nitrogen application amount, phosphorus application amount, and potassium application amount were considered as factors, and a half of the four-element quadratic general rotary combination design (20 treatments) was employed. The tomato fruits were stored at 4°C for 28 days, with samples collected every 7 days to assess the quality of the fruits and analyze the effect of water and fertilizer coupling on tomato storage quality. Pearson correlation analysis and a combined evaluation method were used to comprehensively evaluate the indicators, and a response model was constructed to establish the relationship between the comprehensive score of tomatoes and the four factor levels.The results indicated that the reasonable ratio of water and fertilizer could enhance the quality of tomatoes, while excessive or inadequate water and fertilizer parameters could reduce the fruit quality. The changes in tomato hardness, soluble sugar, lycopene, and vitamin C content during storage were consistent with the first-order kinetic equation. Through a comprehensive analysis of tomato quality index (TQI), an irrigation amount of 602 mm/hm2, nitrogen application rate of 570 kg/hm2, phosphorus application rate of 70 kg/hm2, and potassium application rate of 738 kg/hm2 under water and fertilizer coupling could effectively improve the fruit quality of stored tomatoes, and the equation fitting degree and storage resistance were also satisfactory.
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Study on the kinetics of tomato storage quality under water and fertilizer coupling | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Study on the kinetics of tomato storage quality under water and fertilizer coupling Yanchao Yang, Zhanming Tan, Yunxia Cheng, Liyu Yang, Tao He, Shuang Liang, and 3 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4963860/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract In order to make full use of the yellow sand resources in Xinjiang, China, under the mixed substrate cultivation mode with the volume ratio of yellow sand to slag of 5:3, in order to improve the yield and storage quality of tomato, provide optimized water and fertilizer management scheme, and explore the dynamic changes of water and fertilizer coupling on the quality of Tomato during storage, a dynamic model of tomato fruit quality under 4 ℃ storage was established.The tomato variety 'Qinshulingyue' was used as the experimental material. Irrigation amount, nitrogen application amount, phosphorus application amount, and potassium application amount were considered as factors, and a half of the four-element quadratic general rotary combination design (20 treatments) was employed. The tomato fruits were stored at 4°C for 28 days, with samples collected every 7 days to assess the quality of the fruits and analyze the effect of water and fertilizer coupling on tomato storage quality. Pearson correlation analysis and a combined evaluation method were used to comprehensively evaluate the indicators, and a response model was constructed to establish the relationship between the comprehensive score of tomatoes and the four factor levels.The results indicated that the reasonable ratio of water and fertilizer could enhance the quality of tomatoes, while excessive or inadequate water and fertilizer parameters could reduce the fruit quality. The changes in tomato hardness, soluble sugar, lycopene, and vitamin C content during storage were consistent with the first-order kinetic equation. Through a comprehensive analysis of tomato quality index (TQI), an irrigation amount of 602 mm/hm 2 , nitrogen application rate of 570 kg/hm 2 , phosphorus application rate of 70 kg/hm 2 , and potassium application rate of 738 kg/hm 2 under water and fertilizer coupling could effectively improve the fruit quality of stored tomatoes, and the equation fitting degree and storage resistance were also satisfactory. Tomatoes Coupling of water and fertilizer Cold storage Dynamic equation Storage quality Figures Figure 1 Figure 2 Figure 3 Figure 4 Figure 5 Figure 6 1. Introduction Tomato ( Solanum lycopersicum L. ) [ 1 ] is an annual herb of Solanaceae, which is rich in carotene, vitamin C and B vitamins, and has high nutritional value. As the most important tomato producing area in China, Xinjiang has a planting area of more than 1 million mu.In recent years, the cultivation area of greenhouse tomato in Xinjiang, China has gradually expanded, but the development of greenhouse tomato industry has been seriously restricted due to the long distance between production and sales.Therefore, through precise water and fertilizer coupling technology, it is an urgent problem to be solved in the current industrial development to improve the quality of tomatoes while increasing the ability of tomatoes to withstand transportation and storage. Water and fertilizer coupling technology [ 2 ] is based on different water conditions, the irrigation and fertilization in time, quantity and mode of fine coordination, promote crop root deep, expand the root system in the soil water absorption range, more use of deep soil water storage, and improve crop transpiration and photosynthetic intensity, reduce the invalid evaporation of soil.Li [ 3 ] showed that the ratio of water and fertilizer had a significant effect on the quality index and yield index of tomato. Yao et al [ 4 ] . have shown that sugar, as an energy substance and signal molecule, regulates fruit sweetness and various physiological processes, including fruit ripening, senescence and response to stress.Ramandeep K. Toor et al [ 5 ] stored tomatoes at 7, 15, and 25°C for 10 days. Regardless of the temperature, the contents of soluble phenols and ascorbic acid in tomatoes increased slightly during storage.Distefano, M. et al. [ 6 ] studied the storage quality of tomato cultivated in intelligent greenhouse, and showed that cold storage could delay the ripening speed and decay process of tomato fruit, thus prolonging the preservation period of fruit.However, long-term cold storage treatment may lead to poor texture and flavor of tomato fruit.At present, there are few reports on the combination of water and fertilizer coupling and tomato post-harvest storage.Therefore, in this experiment, the yellow sand in southern Xinjiang was used as the matrix to plant tomatoes through water and fertilizer coupling treatment, and then the tomatoes of the same maturity were stored at 4°C during the harvest period. Finally, the differences and changes of tomato nutritional quality were analyzed. Tomato fruit is a typical climacteric fruit, which is easy to distinguish at the mature stage, so it is often used as a model material to study the physiological metabolism of postharvest fruit.In this study, postharvest tomato fruits were used as materials to explore the relationship between water and fertilizer coupling and fruit ripening quality.On the basis of traditional facility tomato production technology, the effects of different water and fertilizer ratios on the nutritional quality of tomato fruit after low temperature storage were studied, and the effective water and fertilizer ratio to achieve water and fertilizer saving was explored. The relationship between quality change and storage time and temperature was obtained, and the kinetic equation of tomato storage quality was established. The aim was to provide theoretical reference for tomato storage and preservation, and to provide reference for the sales channel and sales radius storage period of facility tomato in southern Xinjiang, China. 2. Materials and Methods 2.1 Test materials and treatment The experiment was conducted in a multi-span greenhouse at the Horticultural Experimental Station of Tarim University (81°16'E, 40°33'N) from January to August 2021. The tested tomato variety was ' Qinshulingyue '. The experiment was performed under trough cultivation in the north-south direction, with an individual plant spacing of 0.35 m, row spacing of 1.1 m, in an area of 7.5 m2. Drip irrigation was performed using a reliable water source, water pump, water meter, fertilizer barrel (electric sprayer) and water pipeline, dripper, drip pipe and other systems. The dripper exhibited a pressure-compensated flow rate of 2L/h, with a dripper spacing of 35 cm.After the fruits entered the red ripening stage, 30 fruits with the same maturity at the full red stage were selected and stored in a 4 ℃ freezer after vacuum treatment. The quality of tomato fruit was measured on days 0, 7, 14, 21, and 28 after storage. 2.2 Experimental design In this experiment, the amount of irrigation water, the quantities of nitrogen, phosphorus, and potassium applied were used as four factors, and each factor was set at five levels. The whole experimental design was carried out under a 1/2 four-element quadratic general rotary combination design, with a total of 20 treatment combinations. Each treatment was repeated three times. The level coding of each treatment factor and the treatment combination are shown in Table 1 . On February 10,2021, the tomatoes with 7 leaves and 1 core were planted in a cultivation tank, and the fruits with the same level of maturity were selected for storage at the full fruit stage (June 14,2021). Table 1 The level coding and treatment combination of each treatment factor Treatment Code value scheme actual value Irrigation level The amount of nitrogen Phosphate amount of potassium applied Irrigation level(mm/hm 2 ) The amount of nitrogen(kg/hm 2 ) Phosphate(kg/hm 2 ) amount of potassium applied (kg/hm 2 ) H1 1 1 1 1 543 855 657 1107 H2 1 1 -1 -1 543 855 219 369 H3 1 1 1 -1 543 285 657 369 H4 1 -1 -1 1 543 285 219 1107 H5 -1 1 1 -1 369 855 657 369 H6 -1 1 -1 1 369 855 219 1107 H7 -1 -1 1 1 369 285 657 1107 H8 -1 -1 -1 -1 369 285 219 369 H9 -1.6818 0 0 0 310 570 438 738 H10 1.6818 0 0 0 602 570 438 738 H11 0 -1.6818 0 0 456 90 438 738 H12 0 1.6818 0 0 456 1049 438 738 H13 0 0 -1.6818 0 456 570 70 738 H14 0 0 1.6818 0 456 570 806 738 H15 0 0 0 -1.6818 456 570 438 117 H16 0 0 0 1.6818 456 570 438 1359 H17 0 0 0 0 456 570 438 738 H18 0 0 0 0 456 570 438 738 H19 0 0 0 0 456 570 438 738 H20 0 0 0 0 456 570 438 738 For convenience, the fertilizer parameters represented by the coded values of -1.682, -1, 0, 1 and 1.682 are replaced by low, lower, medium, higher and high throughout the article. 2.3 Determination of indicators Fruit hardness was measured with a GY-4 fruit hardness tester. Three tomatoes were taken from each group, and the fruit chamber was separated from its equator for measurement. The hardness meter probe pointed vertically to the fruit and applied pressure until the top of the probe pressed into the pulp. The hardness was recorded in kg·cm − 2 . The average hardness of each fruit was calculated [ 7 ] . Soluble sugar content: The content of soluble sugar was determined via anthrone colorimetry. Each sample was measured three times in parallel. The content of soluble sugar was calculated from the standard curve, and the unit was %. Lycopene content: The lycopene content was calculated based on the value obtained using the colorimeter. The method was adopted by Hasan.Yildiz et al. to rapidly detect the lycopene content with a colorimeter [ 8 ] . The CR-400/410 colorimeter was used. Three fruits were taken from each group; each fruit was measured three times, and three consecutive values were recorded. Chroma was measured using L, a, b values, and substituted into the formula, O (lycopene content) = 3.004X-35.003, where X is the Chroma value, and the lycopene content is expressed as µg·g -1 . Vitamin C content: The vitamin C content was determined via 2,6-dichlorophenol indophenol sodium method. Each sample was measured three times in parallel. The content of vitamin C was calculated from the standard curve, and the unit of measurement was mg·kg -1 . Tomato quality index (TQI): Tomato quality index (TQI) was calculated as described by Chen Yi [ 32 ] and other comprehensive methods of evaluation of tomato fruit. First, the indices of hardness, soluble sugar, lycopene and vitamin C levels were non-dimensionally treated to eliminate the differences between measurements, and the values ranged between 0 and 1. Next, each index was calculated using Formula (1), where Ti is dimensionless quantity and y is the actual measured value of each index, The maximum and minimum values of each index are represented by m and s. Finally, the value of TQI was obtained using formula (2). Formula (1) was used to calculate the TQI. The larger the value, the better the comprehensive quality of tomato fruit preserved under storage following water and fertilizer treatment. $$\:\text{T}\text{i}=\left(\text{y}-\text{s}\right)/\left(\text{m}-\text{s}\right)$$ 1 $$\:\text{TQI=}{\sum\:}_{\text{i=1}}^{\text{n}}\text{Ti}$$ 2 2.4 Kinetic model and data processing 2.4.1 Zero-order and first-order kinetic equations A large number of experiments show that the nutritional components and sensory indices of fruits and vegetables are affected by various factors during low temperature storage. Most of these changes follow the zero-order or first-order reaction kinetics, represented by Eq. (3) and Eq. (4) below. Zero-order reaction: \(\:\left[{\text{N}}_{0}\right]-\left[N\right]=k\) (3) First-order reaction: \(\:\left[N\right]=\left[{\text{N}}_{0}\right]exp\left(-kt\right)\) (4) By taking the logarithm of formula ( 2 ), we obtain : \(\:\left[{\text{N}}_{0}\right]-\text{ln}[N]=kt\) In the formula, t is the storage time,[N 0 ]is the initial quality index of tomato storage, [N] is a quality index after t days of storage, and k is the rate constant of the reaction. The reaction order and equation were determined according to the measured data of tomato quality index changing with time during storage. 2.4.2 Data processing In this experiment, Microsoft Office Excel 2020 was used to count and sort the data, and GraphPad Prism 9.0 was used for data analysis. SPSS version 18.0 and DPS data processing system were used to process each index. The relationship between TQI and quality indices after storage was tested via linear regression analysis.The Materials and Methods shouldbe described with sufficient details to allow others to replicate and build on the published results. Please note that the publication of your manuscript implicates that you must make all materials, data, computer code, and protocols associated with the publication available to readers. Please disclose at the submission stage any restrictions on the availability of materials or information. New methods and protocols should be described in detail while well-established methods can be briefly described and appropriately cited. Research manuscripts reporting large datasets that are deposited in a publicly available database should specify where the data have been deposited and provide the relevant accession numbers. If the accession numbers have not yet been obtained at the time of submission, please state that they will be provided during review. They must be provided prior to publication. Interventionary studies involving animals or humans, and other studies that require ethical approval, must list the authority that provided approval and the corresponding ethical approval code. 3. Results 3.1. Changes in the hardness of tomatoes grown under different water and fertilizer treatments during storage Fruit firmness is a complex trait involving many physical properties, including cell wall structure, cell turgor and cuticle properties [ 10 – 13 ] .As shown in Figure.1, different water and fertilizer ratios affected the hardness of tomatoes during storage. With the extension of storage time, each treatment showed a 'slow-fast-slow' downward trend. The hardness value of each treatment showed a slow downward trend under storage between days 0 and 14. The hardness of H10 was the highest (5.289 kg·cm -2 ) after 14 days of storage, suggesting a decrease of 24.8%. The hardness of H7 was 5.222 kg·cm -2 , which decreased by 22.1%. After 14–21 days of storage, the hardness of tomato fruit decreased rapidly, with H8 showing the smallest decrease of 26.8% and H11 the largest decrease of 60.8%. The hardness of H8 was the highest after 21 days of storage, which was 3.944 kg·cm -2 , followed by H13, which showed a hardness value of 3.889 kg·cm -2 .It indicated that fruit softening was closely related to the disintegration and degradation of cell wall during storage. Based on the experimental data, the reaction rate constant k of the hard sand-cultured tomatoes, under the corresponding reaction coefficient was calculated from Eqs. (3) and (4), and the correlation coefficient R 2 was obtained. The results are shown in Table 2 . The correlation coefficient R 2 in the first-order reaction was larger than that in the zero-order reaction, which indicates that the fitting degree of the hardness change and the first-order reaction change was enhanced during the storage of sand-cultured tomatoes. Therefore, the kinetics of hardness change of sand-cultured tomato under storage was consistent with first-order reaction. In terms of hardness, the stored tomatoes in H2, H3, H12, H13, H15 and H20 groups fitted the first-order reaction kinetic model. Table 2 This is a table. Tables should be placed in the main text near to the first time they are cited. Water and fertilizer treatment Zero-order reaction One-order reaction regression equation Reaction rate constant Correlation coefficient regression equation Reaction rate constant Correlation coefficient H1 X2 = 0.613556−0.011341X1 0.011341 0.9056 X2 = 0.715972/(1 + EXP(−1.6637 + 0.074204X1)) 0.074204 0.9157 H2 X2 = 0.622444−0.010603X1 0.010603 0.9575 X2 = 831.5989/(1 + EXP(7.1735 + 0.023001X1)) 0.023001 0.9818 H3 X2 = 0.584889−0.009968X1 0.009968 0.9595 X2 = 0.605382/(1 + EXP(−2.5640 + 0.095588X1)) 0.095588 0.9866 H4 X2 = 0.609889−0.012873X1 0.012873 0.9385 X2 = 0.666221/(1 + EXP(−2.0774 + 0.096845X1)) 0.096845 0.9613 H5 X2 = 0.590222−0.010921X1 0.010921 0.8848 X2 = 0.606894/(1 + EXP(−2.6517 + 0.105617X1)) 0.105617 0.9296 H6 X2 = 0.599333−0.010524X1 0.010524 0.9185 X2 = 0.610340/(1 + EXP(−2.7643 + 0.105018X1)) 0.105018 0.9622 H7 X2 = 0.636444−0.013159X1 0.013159 0.9135 X2 = 0.643247/(1 + EXP(−2.7932 + 0.119279X1)) 0.119279 0.9588 H8 X2 = 0.603889−0.009365X1 0.009365 0.9712 X2 = 0.835779/(1 + EXP(−0.939008 + 0.047201X1)) 0.047201 0.9744 H9 X2 = 0.584778−0.012540X1 0.012540 0.9594 X2 = 0.634521/(1 + EXP(−2.1096 + 0.098699X1)) 0.098699 0.9778 H10 X2 = 0.620000−0.010460X1 0.010460 0.9012 X2 = 0.673096/(1 + EXP(−2.1559 + 0.082881X1)) 0.082881 0.9258 H11 X2 = 0.666889−0.015651X1 0.015651 0.9217 X2 = 0.720430/(1 + EXP(−2.1611 + 0.109661X1)) 0.109661 0.9450 H12 X2 = 0.633311−0.012857X1 0.012857 0.9780 X2 = 1.9470/(1 + EXP(0.700469 + 0.037786X1)) 0.037786 0.9844 H13 X2 = 0.676444−0.013333X1 0.013333 0.9846 X2 = 0.769768/(1 + EXP(−1.7915 + 0.081801X1)) 0.081801 0.9929 H14 X2 = 0.618444−0.012921X1 0.012921 0.9416 X2 = 0.652681/(1 + EXP(−2.3483 + 0.104762X1)) 0.104762 0.9718 H15 X2 = 0.623333−0.011238X1 0.011238 0.9288 X2 = 0.625679/(1 + EXP(−2.9466 + 0.113388X1)) 0.113388 0.9867 H16 X2 = 0.662889−0.012206X1 0.012206 0.9705 X2 = 1.1094/(1 + EXP(−0.404949 + 0.045979X1)) 0.045979 0.9726 H17 X2 = 0.602444−0.011905X1 0.011905 0.9261 X2 = 1.1123/(1 + EXP(−0.187209 + 0.046426X1)) 0.046426 0.9302 H18 X2 = 0.634333−0.012778X1 0.012778 0.9175 X2 = 0.943992/(1 + EXP(−0.720706 + 0.056926X1)) 0.056926 0.9212 H19 X2 = 0.631111−0.011556X1 0.011556 0.9571 X2 = 2.3789/(1 + EXP(0.995675 + 0.031162X1)) 0.031162 0.9630 H20 X2 = 0.700667−0.014048X1 0.014048 0.9465 X2 = 0.711344/(1 + EXP(−2.7299 + 0.113821X1)) 0.113821 0.9858 Note: X1 in the table is the number of days of tomato storage; X2 is the predicted value of tomato hardness. 3.2. Changes in soluble sugar under different water and fertilizer treatments during storage As shown in Figure.2, different water and fertilizer ratios specifically altered the levels of soluble sugar in tomato during storage. With the extension of storage time, each treatment showed a uniform downward trend. Storage for zero to14 days decreased the soluble sugar content under each treatment, with the largest decrease observed after storage for 14 days in H17 (2.19%), resulting in a decrease by 55.1%. The H13 group showed a soluble sugar value of 2.18%, representing a decrease of 25.8%. After 0–21 days of storage, H11 had the smallest decrease of 87.1%, and H1 had the largest decrease of 90.1%. At 28 days of storage, the soluble sugar value of H17 was the highest at1.48%, followed by H11 group, which was 1.43%.It indicated that the respiration rate consumed the soluble sugar content in tomato fruit during storage. The experimental data of soluble sugar were calculated using Eq. (3) and Eq. (4). The rate constants k in zero-order and first-order reactions of the kinetic model were obtained, together with their correlation coefficient R 2 . By comparing the correlation coefficients of the two series, it was shown that the soluble sugar of sand-cultured tomatoes under different water and fertilizer ratios was more consistent with the first-order reaction. The first-order reaction of H17 was better, and the correlation coefficient was 0.9754. The change in soluble sugar under storage was consistent with the first-order reaction. Table 3 Zero-order and first-order reaction rate constants and correlation coefficients of soluble sugar content of tomato in sand culture under different water and fertilizer ratios Water and fertilizer treatment Zero-order reaction One-order reaction regression equation Reaction rate constant Correlation coefficient regression equation Reaction rate constant Correlation coefficient H1 X2 = 28.8470−0.755354X1 0.755354 0.8395 X2 = 8481.9293/(1 + EXP(5.5899 + 0.047548X1)) 0.047548 0.9457 H2 X2 = 26.5926−0.576422X1 0.576422 0.9819 X2 = 29.6266/(1 + EXP(−1.9231 + 0.093496X1)) 0.093496 0.9953 H3 X2 = 22.8185−0.359867X1 0.359867 0.8379 X2 = 72541.1600/(1 + EXP(8.0340 + 0.021706X1)) 0.021706 0.8952 H4 X2 = 22.8185−0.359867X1 0.359867 0.8379 X2 = 72541.1600/(1 + EXP(8.0340 + 0.021706X1)) 0.021706 0.8952 H5 X2 = 21.6233−0.419661X1 0.419661 0.9807 X2 = 128163.0305/(1 + EXP(8.6605 + 0.027113X1)) 0.027113 0.9940 H6 X2 = 25.6608−0.610153X1 0.610153 0.9039 X2 = 30.3448/(1 + EXP(−1.5767 + 0.090557X1)) 0.090557 0.9067 H7 X2 = 25.9195−0.626635X1 0.626635 0.9481 X2 = 29.8062/(1 + EXP(−1.7588 + 0.099337X1)) 0.099337 0.9646 H8 X2 = 22.6970−0.372647X1 0.372647 0.9793 X2 = 171521.3241/(1 + EXP(8.9101 + 0.021750X1)) 0.021750 0.9969 H9 X2 = 26.3834−0.542267X1 0.542267 0.7864 X2 = 22.5843/(1 + EXP(−8.5787 + 0.329461X1)) 0.329461 0.8951 H10 X2 = 27.7176−0.667503X1 0.667503 0.9872 X2 = 31.4207/(1 + EXP(−1.8166 + 0.099736X1)) 0.099736 0.9970 H11 X2 = 21.0315−0.241560X1 0.241560 0.8912 X2 = 36342.2462/(1 + EXP(7.4434 + 0.013990X1)) 0.013990 0.9092 H12 X2 = 23.6797−0.397745X1 0.397745 0.9364 X2 = 3479.2203/(1 + EXP(4.9641 + 0.022361X1)) 0.022361 0.9455 H13 X2 = 24.9081−0.409861X1 0.409861 0.8881 X2 = 25.8104/(1 + EXP(−2.6009 + 0.095383X1)) 0.095383 0.9278 H14 X2 = 22.8886−0.376458X1 0.376458 0.8863 X2 = 136036.4153/(1 + EXP(8.6627 + 0.022460X1)) 0.022460 0.9279 H15 X2 = 23.9872−0.408938X1 0.408938 0.8627 X2 = 22.5429/(1 + EXP(−4.4227 + 0.162398X1)) 0.162398 0.9858 H16 X2 = 23.6017−0.403839X1 0.403839 0.9399 X2 = 41.4151/(1 + EXP(−0.290605 + 0.040683X1)) 0.040683 0.9414 H17 X2 = 30.3753−0.608310X1 0.608310 0.9655 X2 = 77.5410/(1 + EXP(0.410452 + 0.039907X1)) 0.039907 0.9754 H18 X2 = 24.2516−0.403246X1 0.403246 0.9675 X2 = 26.1364/(1 + EXP(−2.1926 + 0.082239X1)) 0.082239 0.9827 H19 X2 = 21.6041−0.426556X1 0.426556 0.8993 X2 = 196525.7721/(1 + EXP(9.0774 + 0.028822X1)) 0.028822 0.9462 H20 X2 = 24.1891−0.382369X1 0.382369 0.8506 X2 = 27980.1398/(1 + EXP(7.0305 + 0.021042X1)) 0.021042 0.8777 Note : X1 in the table is the number of days of tomato storage ; x2 is the predicted value of tomato soluble sugar. 3.3. Changes in lycopene content under different water and fertilizer treatments during storage As shown in Figure.3, different water and fertilizer ratios affected the changes in lycopene content during storage. With the prolongation of storage time, each treatment led to a 'slow rise-rapid decline'. The lycopene content of each treated fruit showed a slow upward trend at 0–14 days of storage. After 14 days of storage, the lycopene content of H11 increased the most, which was 125.62 µg·g − 1 , followed by H13, with a lycopene content of 125.02 µg·g-1. After 14–21 days of storage, the lycopene content of tomato fruits in each treatment decreased rapidly, The decrease in lycopene levels of H18 was the smallest (15.4%), and the decrease in H10 was the largest (87.7%). At 28 days of storage, the lycopene value of H1 was the highest at 97.21 µg·g − 1 , followed by H13 group, which was 96.08 µg·g − 1 .The reason for the first increase and then decrease was that the after-ripening effect of tomato led to the increase of lycopene content, and then the content decreased due to the respiratory jump during storage. The lycopene test data were calculated using Eqs. (3) and (4). The rate constant (k) in the zero-order and first-order reactions of the kinetic model was obtained, and the correlation coefficient R 2 was also determined. Based on the correlation analysis, the lycopene of sand-cultured tomatoes under different water and fertilizer ratios was more consistent with the first-order reaction. Comparing the first-order reactions of 20 groups of lycopene, it was found that H2, H3, H6, H11, H13, H16 and H20 groups had a higher degree of fitting with the first-order reaction. Table 4 Zero-order and first-order reaction rate constants and correlation coefficients of lycopene content in sand-cultured tomato under different water and fertilizer ratios Water and fertilizer treatment Zero-order reaction One-order reaction regression equation Reaction rate constant Correlation coefficient regression equation Reaction rate constant Correlation coefficient H1 X2 = 114.1535−0.393447X1 0.393447 0.1656 X2 = 113.4065/(1 + EXP(−7.1691 + 0.194381X1)) 0.194381 0.4448 H2 X2 = 119.4587−1.1284X1 1.1284 0.4470 X2 = 113.5233/(1 + EXP(−9.1896 + 0.308270X1)) 0.308270 0.9064 H3 X2 = 117.7443−1.1929X1 1.1929 0.4926 X2 = 111.9576/(1 + EXP(−7.5344 + 0.250599X1)) 0.250599 0.8835 H4 X2 = 124.5365−1.2282X1 1.2282 0.5204 X2 = 119.9351/(1 + EXP(−5.7911 + 0.184073X1)) 0.184073 0.8175 H5 X2 = 118.2350−1.0929X1 1.0929 0.6272 X2 = 114.9281/(1 + EXP(−4.8839 + 0.144766X1)) 0.144766 0.8295 H6 X2 = 123.7006−1.3048X1 1.3048 0.7312 X2 = 121.9513/(1 + EXP(−3.8997 + 0.115155X1)) 0.115155 0.8570 H7 X2 = 119.3229−1.1968X1 1.1968 0.4900 X2 = 115.4133/(1 + EXP(−5.3785 + 0.169974X1)) 0.169974 0.7476 H8 X2 = 112.4134−0.432594X1 0.432594 0.2893 X2 = 111.1648/(1 + EXP(−6.5740 + 0.171748X1)) 0.171748 0.5649 H9 X2 = 112.3896−0.456737X1 0.456737 0.1536 X2 = 111.7282/(1 + EXP(−6.3736 + 0.171521X1)) 0.171521 0.3733 H10 X2 = 120.4036−1.2031X1 1.2031 0.5755 X2 = 117.8957/(1 + EXP(−4.3473 + 0.129540X1)) 0.129540 0.7307 H11 X2 = 110.8261−0.583811X1 0.583811 0.3297 X2 = 108.8337/(1 + EXP(−6.8557 + 0.195863X1)) 0.195863 0.6644 H12 X2 = 112.9478−0.453232X1 0.453232 0.1929 X2 = 112.0050/(1 + EXP(−6.1305 + 0.158566X1)) 0.158566 0.3849 H13 X2 = 129.5200−1.4121X1 1.4121 0.7124 X2 = 124.9003/(1 + EXP(−4.8056 + 0.150013X1)) 0.150013 0.9097 H14 X2 = 115.8803−0.235104X1 0.235104 0.1875 X2 = 115.2472/(1 + EXP(−7.5697 + 0.184149X1)) 0.184149 0.4308 H15 X2 = 121.4842−1.0956X1 1.0956 0.5273 X2 = 119.2548/(1 + EXP(−4.4706 + 0.129254X1)) 0.129254 0.6924 H16 X2 = 125.5049−1.4829X1 1.4829 0.7338 X2 = 120.8531/(1 + EXP(−4.6363 + 0.148194X1)) 0.148194 0.9169 H17 X2 = 126.1745−1.1455X1 1.1455 0.6422 X2 = 126.5790/(1 + EXP(−3.5452 + 0.095305X1)) 0.095305 0.7266 H18 X2 = 120.3463−1.0373X1 1.0373 0.4169 X2 = 114.1383/(1 + EXP(−14.3382 + 0.489449X1)) 0.489449 0.9675 H19 X2 = 126.1550−1.2678X1 0.741408 0.5463 X2 = 119.0906/(1 + EXP(−8.6740 + 0.290296X1)) 0.138877 0.7443 H20 X2 = 119.7115−0.741408X1 1.2678 0.5418 X2 = 117.4821/(1 + EXP(−5.2487 + 0.138877X1)) 0.290296 0.9663 Note : X1 in the table is the number of days of tomato storage ; X2 is the predicted value of tomato lycopene. 3.4.Changes in vitamin C content under different water and fertilizer treatments during storage Vitamin C content is one of the important indexes to evaluate the comprehensive quality of tomato.As shown in Figure.4, different water and fertilizer ratios specifically altered the vitamin C content during storage. With the extension of storage time, each treatment showed a 'fast-slow' downward trend. The vitamin C content of each treated fruit showed a rapid downward trend during zero to 14 days of storage. When stored for 14 days, the vitamin C content of H11 was the highest, which was 46.23 mg · kg-1, with a decrease of 43.9%, followed by H17, with a vitamin C content of 42.50 mg · kg-1, representing a decrease of 41.7%. After 14–28 days of storage, the vitamin C content of tomato fruits in each treatment decreased slowly, with the smallest decrease of 9.3% in H19 and the largest decrease of 46.6% in H17. After 28 days of storage, the vitamin C content of H12 was the highest, which was 30.68 mg·kg − 1 , followed by H13 group, which showed a vitamin C level of 29.85 mg·kg − 1 . The experimental data of vitamin C were calculated using Eq. (3) and Eq. (4), and the number rate constant k of the zero-order and first-order reactions of the kinetic model was obtained, and the correlations coefficient R 2 was also determined. By comparing the correlation coefficients of the two orders, it was shown that the vitamin C of sand-cultured tomatoes under different water and fertilizer ratios was more consistent with the first-order reaction. Comparing the first-order reaction of 20 groups of vitamin C, the results of the first-order reaction fitting degree H15 > H3 > H1 > H2 > H13 were obtained, and the fitting degree of H19 was the worst. It was verified that the changes in vitamin C levels under storage were consistent with the first-order reaction. Table 5 The zero-order and first-order reaction rate constants and correlation coefficients of vitamin C content in sand-cultured tomato under different water and fertilizer ratios Water and fertilizer treatment Zero-order reaction One-order reaction regression equation Reaction rate constant Correlation coefficient regression equation Reaction rate constant Correlation coefficient H1 X2 = 53.5885−1.0236X1 1.0236 0.9286 X2 = 529115.8490/(1 + EXP(9.1620 + 0.027482X1)) 0.027482 0.9746 H2 X2 = 59.7146−1.2589X1 1.2589 0.9386 X2 = 45397.7406/(1 + EXP(6.5941 + 0.031166X1)) 0.031166 0.9737 H3 X2 = 55.0959−1.0616X1 1.0616 0.9810 X2 = 72.8628/(1 + EXP(−1.1024 + 0.062426X1)) 0.062426 0.9855 H4 X2 = 40.1549−0.416704X1 0.416704 0.8833 X2 = 44.4078/(1 + EXP(−2.1000 + 0.056549X1)) 0.056549 0.9037 H5 X2 = 61.1113−1.3310X1 1.3310 0.8953 X2 = 135.6821/(1 + EXP(0.158561 + 0.047863X1)) 0.047863 0.9115 H6 X2 = 55.2497−1.0439X1 1.0439 0.8557 X2 = 60188.3627/(1 + EXP(6.9555 + 0.027312X1)) 0.027312 0.9044 H7 X2 = 48.8088−0.898248X1 0.898248 0.8282 X2 = 474666.5720/(1 + EXP(9.1442 + 0.026595X1)) 0.026595 0.8833 H8 X2 = 39.5776−0.337551X1 0.337551 0.8496 X2 = 42.2099/(1 + EXP(−2.4937 + 0.059221X1)) 0.059221 0.8781 H9 X2 = 41.9110−0.553822X1 0.553822 0.8916 X2 = 38988.4215/(1 + EXP(6.8196 + 0.016680X1)) 0.016680 0.914 H10 X2 = 62.6289−1.4503X1 1.2419 0.9249 X2 = 134.6140/(1 + EXP(0.088131 + 0.053171X1)) 0.107880 0.9685 H11 X2 = 64.3055−1.2419X1 1.4503 0.8482 X2 = 66.1189/(1 + EXP(−2.6277 + 0.107880X1)) 0.053171 0.8689 H12 X2 = 48.1829−0.616155X1 0.616155 0.8447 X2 = 54330.2959/(1 + EXP(7.0087 + 0.016392X1)) 0.016392 0.8868 H13 X2 = 46.5055−0.677012X1 0.677012 0.9548 X2 = 13749.5348/(1 + EXP(5.6713 + 0.018571X1)) 0.018571 0.9656 H14 X2 = 49.5684−0.863020X1 0.863020 0.8889 X2 = 2631.4967/(1 + EXP(3.9301 + 0.023881X1)) 0.023881 0.9076 H15 X2 = 47.1535−0.609021X1 0.609021 0.9857 X2 = 56.7154/(1 + EXP(−1.5218 + 0.051210X1)) 0.051210 0.9899 H16 X2 = 43.6986−0.533570X1 0.533570 0.9664 X2 = 2786.0899/(1 + EXP(4.1306 + 0.014971X1)) 0.014971 0.9682 H17 X2 = 54.9882−1.0007X1 1.0007 0.9436 X2 = 630.6366/(1 + EXP(2.3259 + 0.026455X1)) 0.026455 0.9515 H18 X2 = 46.6184−0.619063X1 0.619063 0.9323 X2 = 64.3036/(1 + EXP(−0.950981 + 0.040834X1)) 0.040834 0.9348 H19 X2 = 34.2568−0.290852X1 0.290852 0.6709 X2 = 13499.4987/(1 + EXP(5.9649 + 0.010089X1)) 0.010089 0.7002 H20 X2 = 51.6928−0.791803X1 0.791803 0.9180 X2 = 92.1464/(1 + EXP(−0.252515 + 0.035599X1)) 0.035599 0.9206 Note : X1 in the table is the number of days of tomato storage ; x2 is the predicted value of tomato vitamin C. 3.5.The correlation of each index under different water and fertilizer treatment As shown in Fig. 4 , hardness was significantly correlated with soluble sugar (R 2 = 0.71, P < 0.01). The hardness was significantly correlated with lycopene content (R 2 = 0.61, P < 0.01). Hardness was significantly correlated with vitamin C (R 2 = 0.70, P < 0.01). Soluble sugar was significantly correlated with lycopene level (R 2 = 0.47, P < 0.01). Soluble sugar was significantly correlated with vitamin C (R 2 = 0.67, P < 0.01). A specific correlation existed between different indices. 3.6.Comprehensive evaluation of tomato storage quality under different water and fertilizer treatments To evaluate the quality of tomato fruit under storage, multiple indicators should be analyzed together for a comprehensive analysis of TQI. The quality indices of tomato fruit under storage were positively correlated with TQI (Figure.6-A), and the quality indices of tomato fruit were effectively determined. The TQI of fruits with the same maturity and different storage time under different water and fertilizer treatments was analysed (Figure.6-B). The TQI of H17 was the highest on day zero of storage, with a value of 2.89, followed by H13, with a value of 2.87; H10 had the highest TQI value of 2.64 after 7 days of storage, followed by H13 with a value of 2.4. The TQI of H17 stored for 14 days was the highest at 3.24, followed by H13 at 3.13. When H18 was stored for 21 days, the TQI was the highest, which was 2.65, followed by H20, which was 2.64. The TQI of H8 was the highest after 28 days of storage, with a value of 3.16, followed by H12, with a value of 3.08. The TQI values of H13 maturing at the same time under different storage periods were higher than 2.0, and the total TQI value under this water and fertilizer treatment was the highest, which was 12.58. 4. Discussion Water and fertilizer coupling plays an important role in fruit quality and storability, and it is also an important factor contributing to the sustainable development of vegetable facilities in southern Xinjiang. Huang,Y [ 14 ] reported that the effects of fertilization and irrigation on tomato quality indicators reached a highly significant level, and the role of irrigation was greater than that of fertilizer. The water-to fertilizer ratios in this study also had similar effects. Hao S et al. [ 15 ] showed that excessive irrigation water reduced the quality of tomato fruit. This study established a reasonable ratio of water to fertilizer to increase the quality of tomatoes. Excessive or restricted water supply and fertilizer application may reduce the quality content. Chen Liang [ 16 ] found that the combination of yellow sand substrate together with water and fertilizer can accurately control the supply of water and fertilizer and improve the efficiency of crop water and fertilizer utilization. In this study, we also used yellow sand in southern Xinjiang as a cultivation matrix to obtain a better utilization rate of water and fertilizer, without affecting the fruit quality. 4.1Effects of water and fertilizer coupling on tomato storage hardness Fruit firmness is an important index of fruit texture, reflecting fruit storability and storage effect [ 17 ] . The hardness of tomato decreases with the increase in nitrogen, phosphorus, and potassium fertilizer content. Application of large amounts of fertilizer increases the tomato fruit size and decreases its hardness, as shown by De Ketelaere B et al. [ 18 ] . Brummell D.A et al. [ 19 ] reported that the hardness of tomato will decrease with the extension of storage time. The results of this study were consistent, because some of the lyases in tomato fruit lysed with the prolongation of storage time, resulting in a decrease in hardness. 4.2 Effects of water and fertilizer coupling on tomato storage soluble sugar Soluble sugar determines the quality of tomatoes basically and is a key factor in determining fruit storage quality and consumer recognition [ 20 ] . In the presence of moderate levels of other factors, the effect of irrigation on soluble sugar content of tomatoes under storage was not significant, while Shang Z H [ 21 ] , showed that appropriate water stress facilitated the accumulation of soluble sugars as storage reduces the activity of enzymes. Under the experimental conditions reported here, in the presence of other factors in the medium, an appropriate amount of nitrogen fertilizer increased the content of soluble sugar in stored tomatoes, which is consistent with the study of Huang W [ 22 ] . Kangli Wei et al. [ 23 ] reported that the soluble sugar content increased first and then decreased with the increase in phosphorus application due to complex phosphorus metabolism in the soil, which affected the distribution of nutrients. This study shows that the application of phosphate fertilizer can promote the synthesis of soluble sugar content, which is consistent with the results of Black Soldier et al [ 24 ] . 4.3 Effects of water and fertilizer coupling on lycopene content of tomato under storage Lycopene is the main pigment of mature tomato [ 25 ] . It is a strong antioxidant occurring in nature. It is an oxygen-free carotenoid. It not only has a very high health care value, but also is one of the important indicators of quality changes during storage. This study found that the lycopene content increased first and then decreased during storage. This is consistent with the study of JAVANMARDI JKUBOTA C [ 26 ] . The content of lycopene increased to a stable level before 14 days of storage. Increased irrigation as well as application of nitrogen, phosphorus, and potassium did not increase the content of lycopene. Combined treatment with water and fertilizer in appropriate ratio determines the amount of water during storage. The lycopene content was affected the largest, and was consistent with the results reported by Hui Luo [ 27 ] . Meiramkulova, K et al. [ 28 ] reported that light and temperature had a major effect on lycopene content, which increased with increased red and yellow light irradiation time. Therefore, varying temperatures during storage and exposure to light during growth are closely related to lycopene content, suggesting the need for further investigation. 4.4 Effects of water and fertilizer coupling on vitamin C content of tomatoes under storage Fruits and vegetables are one of the important sources of vitamin C, which is also an important indicator of tomato product quality [ 29 ] . This experiment showed a positive correlation between vitamin C content and irrigation amount during storage, which was consistent with Zushi K 's study [ 30 ] . This study showed that with the increased application of nitrogen, phosphorus, and potassium, vitamin C showed a inverted parabolic change similar to the results of previous studies [ 31 ] . The study also found that the vitamin C content decreased rapidly during the storage period, and decreased sharply from day 7 to day 14, which was consistent with the study of Veringa D [ 32 ] . 4.5 Effects of water and fertilizer coupling on comprehensive quality of tomato storage index By integrating indicators related to tomato quality such as hardness, soluble sugar, lycopene and VC, TQI can be used to comprehensively evaluate the quality of tomato fruit after storage under different water and fertilizer treatments. In this experiment, H13-treated tomatoes showed better comprehensive quality during extended storage. 5. Conclusions By integrating indicators related to tomato quality such as hardness, soluble sugar, lycopene and VC, TQI can comprehensively evaluate the quality preservation of tomato fruits after storage under different water and fertilizer treatments. In this experiment, in order to better preserve the fruit quality during storage, and conduct a comprehensive analysis and comparison, it was concluded that the irrigation amount of 602mm/hm 2 + nitrogen application rate of 570kg/hm 2 + phosphorus application rate of 70kg/hm 2 + potassium application rate of 738kg/hm 2 treatment of tomato in the extension of storage process at the same time to obtain the best comprehensive quality. Declarations This study was conducted in accordance with ethical guidelines and approved by the relevant institutional review board. All participants were informed about the purpose, procedures, and potential risks of the study. No conflict of interest exits in the submission of this manuscript, and manuscript is approved by all authors for publication. I would like to declare on behalf of my co-authors that the work described was original research that has not been published previously, and not under consideration for publication elsewhere, in whole or in part. All the authors listed have approved the manuscript that is enclosed. Funding: This research was financially supported by theXPCC Financial Science and Technology Plan Project (2023AB071); theTianshan Talent Training Program (2023TSYCCY0002);the Key core agricultural technology research and development projects of the XPCC ( NYHXGG2023AA311), the First Division Alra City Financial Science and Technology Plan Project (2024NY04). Author Contribution Author Contributions: Resources, Y.W. Y.S.;data curation,Y.Y. T.H.;writing—original draft preparation, S.L. M.X. Z.T.;writing—review and editing, Z.T;visualization, Y.C.; supervision,L.Y;project administration,Y.W. T.H. All authors have read and agreed to the published version of the manuscript. Acknowledgements: The authors thank Zhanming Tan from Tarim University for thesis supervision. The authors are grateful to the anonymous reviewers for their comments. Data availability statement : The data presented in this study are available on request from the corresponding author. References Jamir A. Khawlhring, Chhungpuii. Effects of Different Post-harvest Treatments on Physico-Chemical Attributes and Shelf Life of Tomato Fruits. Sci Technol J.2017,5.63-66. Li J, Pan T, Wang L, Du Q, Chang Y, Zhang D, Liu Y. Effects of water-fertilizer coupling on tomato photosynthesis, yield and water use efficiency. Trans Chin Soc Agricultural Eng 2014,30(10), 82–90. Li YJ. Effect of drip irrigation criteria on yield and quality of muskmelon grown in greenhouse conditions[J]. Agric Water Manage. 2012;109:30–5. 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Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-4963860","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":350043151,"identity":"c2fc0d64-6a8d-4f52-ad5e-4ee86378cba7","order_by":0,"name":"Yanchao Yang","email":"","orcid":"","institution":"Tarim University, Technology of Characteristic Fruit Trees in Southern Xinjiang","correspondingAuthor":false,"prefix":"","firstName":"Yanchao","middleName":"","lastName":"Yang","suffix":""},{"id":350043152,"identity":"b3223223-1df2-47b1-829b-a91641d19b19","order_by":1,"name":"Zhanming Tan","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAz0lEQVRIiWNgGAWjYDACdgYGCRDND+UzNhDSwcMM0pLAwCDZRrIWg2PEarFn5k68zfujLtr4fvOzzzwMNrIbDjA/e4DfFt7NljMS2HK3HWMzns3DkGa84QCbuQEBLdskPiTwALUwGDPzMBxO3HCAh02CoJaEBInczW3sn4Fa/hOp5UOCQe4GNh6QLQeI0HIY5Je0hNwZx3KKGecYJBvPPMxmhlcLe3vvxts8NnW5/c3HNzO8qbCT7Tve/AyvFjQACipmEtSPglEwCkbBKMAOAM+AP07JYJwbAAAAAElFTkSuQmCC","orcid":"","institution":"Tarim University, Technology of Characteristic Fruit Trees in Southern Xinjiang","correspondingAuthor":true,"prefix":"","firstName":"Zhanming","middleName":"","lastName":"Tan","suffix":""},{"id":350043153,"identity":"0fa28647-5823-47ac-ac55-ecbde4b18b54","order_by":2,"name":"Yunxia Cheng","email":"","orcid":"","institution":"Tarim University, Technology of Characteristic Fruit Trees in Southern Xinjiang","correspondingAuthor":false,"prefix":"","firstName":"Yunxia","middleName":"","lastName":"Cheng","suffix":""},{"id":350043154,"identity":"2d40e39f-a492-4bf3-9e8b-38ff39ca78fc","order_by":3,"name":"Liyu Yang","email":"","orcid":"","institution":"Tarim University, Technology of Characteristic Fruit Trees in Southern Xinjiang","correspondingAuthor":false,"prefix":"","firstName":"Liyu","middleName":"","lastName":"Yang","suffix":""},{"id":350043155,"identity":"fd723ee2-609e-44a0-a17a-ca831f3d0c08","order_by":4,"name":"Tao He","email":"","orcid":"","institution":"Tarim University, Technology of Characteristic Fruit Trees in Southern Xinjiang","correspondingAuthor":false,"prefix":"","firstName":"Tao","middleName":"","lastName":"He","suffix":""},{"id":350043156,"identity":"626a6192-9693-4ff4-8a7b-c33d7f9a7e53","order_by":5,"name":"Shuang Liang","email":"","orcid":"","institution":"Tarim University, Technology of Characteristic Fruit Trees in Southern Xinjiang","correspondingAuthor":false,"prefix":"","firstName":"Shuang","middleName":"","lastName":"Liang","suffix":""},{"id":350043157,"identity":"487e004b-5765-4d02-ae7f-f71c0d46f942","order_by":6,"name":"Yongming Wang","email":"","orcid":"","institution":"Agricultural Science Research Institute of the First Division","correspondingAuthor":false,"prefix":"","firstName":"Yongming","middleName":"","lastName":"Wang","suffix":""},{"id":350043158,"identity":"8e560098-d9c7-479a-8af1-6e4270b1dd4a","order_by":7,"name":"Xing Ma","email":"","orcid":"","institution":"Aksu Naida Agricultural Technology Co., Ltd","correspondingAuthor":false,"prefix":"","firstName":"Xing","middleName":"","lastName":"Ma","suffix":""},{"id":350043159,"identity":"ad374bd4-6948-46ce-9439-223e6fc0475b","order_by":8,"name":"Yinqiang Song","email":"","orcid":"","institution":"Aksu Naida Agricultural Technology Co., Ltd","correspondingAuthor":false,"prefix":"","firstName":"Yinqiang","middleName":"","lastName":"Song","suffix":""}],"badges":[],"createdAt":"2024-08-23 11:15:45","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-4963860/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-4963860/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":65857184,"identity":"8fbca0c1-7643-429a-b3db-cef0882401a6","added_by":"auto","created_at":"2024-10-03 15:24:11","extension":"png","order_by":1,"title":"Figure 1","display":"","copyAsset":false,"role":"figure","size":164829,"visible":true,"origin":"","legend":"\u003cp\u003eChanges in hardness and storage time under different water-to-fertilizer ratios.\u003c/p\u003e","description":"","filename":"image1.png","url":"https://assets-eu.researchsquare.com/files/rs-4963860/v1/13bb31441c2916ce8975ac18.png"},{"id":65855964,"identity":"48b7f8e4-5fe8-41c3-8eee-303b4d54a807","added_by":"auto","created_at":"2024-10-03 15:16:11","extension":"png","order_by":2,"title":"Figure 2","display":"","copyAsset":false,"role":"figure","size":177277,"visible":true,"origin":"","legend":"\u003cp\u003eChanges in soluble sugar and storage time under different water and fertilizer ratios\u003c/p\u003e","description":"","filename":"image2.png","url":"https://assets-eu.researchsquare.com/files/rs-4963860/v1/b46399ef32f095be2c90c3d2.png"},{"id":65855963,"identity":"0acb95fb-cb51-4888-9579-781d2a80a5bf","added_by":"auto","created_at":"2024-10-03 15:16:11","extension":"png","order_by":3,"title":"Figure 3","display":"","copyAsset":false,"role":"figure","size":86481,"visible":true,"origin":"","legend":"\u003cp\u003eEffects of storage time on lycopene under different water and fertilizer ratios\u003c/p\u003e","description":"","filename":"image3.png","url":"https://assets-eu.researchsquare.com/files/rs-4963860/v1/75e18b27337f2d5656db9083.png"},{"id":65855966,"identity":"4421e69a-3dda-46bc-9d08-5efc0b832501","added_by":"auto","created_at":"2024-10-03 15:16:11","extension":"png","order_by":4,"title":"Figure 4","display":"","copyAsset":false,"role":"figure","size":266242,"visible":true,"origin":"","legend":"\u003cp\u003eChanges in vitamin C and storage time under different water and fertilizer ratios\u003c/p\u003e","description":"","filename":"image4.png","url":"https://assets-eu.researchsquare.com/files/rs-4963860/v1/f905403781bad08e1f7e7f89.png"},{"id":65857183,"identity":"d2d85c93-0c66-4108-be37-62f8f16f9ea8","added_by":"auto","created_at":"2024-10-03 15:24:11","extension":"png","order_by":5,"title":"Figure 5","display":"","copyAsset":false,"role":"figure","size":68670,"visible":true,"origin":"","legend":"\u003cp\u003eCorrelation of quality indices under different water and fertilizer ratios\u003c/p\u003e","description":"","filename":"image5.png","url":"https://assets-eu.researchsquare.com/files/rs-4963860/v1/192adb95e222d757ef67175e.png"},{"id":65855968,"identity":"22933ef2-23cb-4e25-acd8-df1d3d907fb8","added_by":"auto","created_at":"2024-10-03 15:16:11","extension":"png","order_by":6,"title":"Figure 6","display":"","copyAsset":false,"role":"figure","size":641280,"visible":true,"origin":"","legend":"\u003cp\u003eCorrelation between tomato fruit quality index and TQI and comparison of TQI of tomato fruits stored under different water and fertilizer treatments\u003c/p\u003e","description":"","filename":"image6.png","url":"https://assets-eu.researchsquare.com/files/rs-4963860/v1/833dd38b16d94c34ce390bff.png"},{"id":69800840,"identity":"3511acc3-419d-4660-a224-1b865aec47e5","added_by":"auto","created_at":"2024-11-25 11:02:26","extension":"pdf","order_by":0,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":3083437,"visible":true,"origin":"","legend":"","description":"","filename":"manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4963860/v1/05b55d6f-9700-4339-9315-8df4f272ed42.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Study on the kinetics of tomato storage quality under water and fertilizer coupling","fulltext":[{"header":"1. Introduction","content":"\u003cp\u003e \u003cdiv class=\"BlockQuote\"\u003e \u003cp\u003eTomato ( \u003cem\u003eSolanum lycopersicum\u003c/em\u003eL. )\u003csup\u003e[\u003cspan citationid=\"CR1\" class=\"CitationRef\"\u003e1\u003c/span\u003e]\u003c/sup\u003e is an annual herb of Solanaceae, which is rich in carotene, vitamin C and B vitamins, and has high nutritional value. As the most important tomato producing area in China, Xinjiang has a planting area of more than 1\u0026nbsp;million mu.In recent years, the cultivation area of greenhouse tomato in Xinjiang, China has gradually expanded, but the development of greenhouse tomato industry has been seriously restricted due to the long distance between production and sales.Therefore, through precise water and fertilizer coupling technology, it is an urgent problem to be solved in the current industrial development to improve the quality of tomatoes while increasing the ability of tomatoes to withstand transportation and storage.\u003c/p\u003e \u003cp\u003eWater and fertilizer coupling technology\u003csup\u003e[\u003cspan citationid=\"CR2\" class=\"CitationRef\"\u003e2\u003c/span\u003e]\u003c/sup\u003e is based on different water conditions, the irrigation and fertilization in time, quantity and mode of fine coordination, promote crop root deep, expand the root system in the soil water absorption range, more use of deep soil water storage, and improve crop transpiration and photosynthetic intensity, reduce the invalid evaporation of soil.Li\u003csup\u003e[\u003cspan citationid=\"CR3\" class=\"CitationRef\"\u003e3\u003c/span\u003e]\u003c/sup\u003e showed that the ratio of water and fertilizer had a significant effect on the quality index and yield index of tomato. Yao et al\u003csup\u003e[\u003cspan citationid=\"CR4\" class=\"CitationRef\"\u003e4\u003c/span\u003e]\u003c/sup\u003e. have shown that sugar, as an energy substance and signal molecule, regulates fruit sweetness and various physiological processes, including fruit ripening, senescence and response to stress.Ramandeep K. Toor et al\u003csup\u003e[\u003cspan citationid=\"CR5\" class=\"CitationRef\"\u003e5\u003c/span\u003e]\u003c/sup\u003estored tomatoes at 7, 15, and 25\u0026deg;C for 10 days. Regardless of the temperature, the contents of soluble phenols and ascorbic acid in tomatoes increased slightly during storage.Distefano, M. et al.\u003csup\u003e[\u003cspan citationid=\"CR6\" class=\"CitationRef\"\u003e6\u003c/span\u003e]\u003c/sup\u003e studied the storage quality of tomato cultivated in intelligent greenhouse, and showed that cold storage could delay the ripening speed and decay process of tomato fruit, thus prolonging the preservation period of fruit.However, long-term cold storage treatment may lead to poor texture and flavor of tomato fruit.At present, there are few reports on the combination of water and fertilizer coupling and tomato post-harvest storage.Therefore, in this experiment, the yellow sand in southern Xinjiang was used as the matrix to plant tomatoes through water and fertilizer coupling treatment, and then the tomatoes of the same maturity were stored at 4\u0026deg;C during the harvest period. Finally, the differences and changes of tomato nutritional quality were analyzed.\u003c/p\u003e \u003cp\u003eTomato fruit is a typical climacteric fruit, which is easy to distinguish at the mature stage, so it is often used as a model material to study the physiological metabolism of postharvest fruit.In this study, postharvest tomato fruits were used as materials to explore the relationship between water and fertilizer coupling and fruit ripening quality.On the basis of traditional facility tomato production technology, the effects of different water and fertilizer ratios on the nutritional quality of tomato fruit after low temperature storage were studied, and the effective water and fertilizer ratio to achieve water and fertilizer saving was explored. The relationship between quality change and storage time and temperature was obtained, and the kinetic equation of tomato storage quality was established. The aim was to provide theoretical reference for tomato storage and preservation, and to provide reference for the sales channel and sales radius storage period of facility tomato in southern Xinjiang, China.\u003c/p\u003e \u003c/div\u003e \u003c/p\u003e"},{"header":"2. Materials and Methods","content":"\u003cdiv id=\"Sec3\" class=\"Section2\"\u003e \u003ch2\u003e2.1 Test materials and treatment\u003c/h2\u003e \u003cp\u003e \u003cdiv class=\"BlockQuote\"\u003e \u003cp\u003eThe experiment was conducted in a multi-span greenhouse at the Horticultural Experimental Station of Tarim University (81\u0026deg;16'E, 40\u0026deg;33'N) from January to August 2021. The tested tomato variety was ' Qinshulingyue '. The experiment was performed under trough cultivation in the north-south direction, with an individual plant spacing of 0.35 m, row spacing of 1.1 m, in an area of 7.5 m2. Drip irrigation was performed using a reliable water source, water pump, water meter, fertilizer barrel (electric sprayer) and water pipeline, dripper, drip pipe and other systems. The dripper exhibited a pressure-compensated flow rate of 2L/h, with a dripper spacing of 35 cm.After the fruits entered the red ripening stage, 30 fruits with the same maturity at the full red stage were selected and stored in a 4 ℃ freezer after vacuum treatment. The quality of tomato fruit was measured on days 0, 7, 14, 21, and 28 after storage.\u003c/p\u003e \u003c/div\u003e \u003c/p\u003e \u003c/div\u003e \u003cdiv id=\"Sec4\" class=\"Section2\"\u003e \u003ch2\u003e2.2 Experimental design\u003c/h2\u003e \u003cp\u003e \u003cdiv class=\"BlockQuote\"\u003e \u003cp\u003eIn this experiment, the amount of irrigation water, the quantities of nitrogen, phosphorus, and potassium applied were used as four factors, and each factor was set at five levels. The whole experimental design was carried out under a 1/2 four-element quadratic general rotary combination design, with a total of 20 treatment combinations. Each treatment was repeated three times. The level coding of each treatment factor and the treatment combination are shown in Table\u0026nbsp;\u003cspan refid=\"Tab1\" class=\"InternalRef\"\u003e1\u003c/span\u003e. On February 10,2021, the tomatoes with 7 leaves and 1 core were planted in a cultivation tank, and the fruits with the same level of maturity were selected for storage at the full fruit stage (June 14,2021).\u003c/p\u003e \u003c/div\u003e \u003c/p\u003e \u003cp\u003e \u003cdiv class=\"gridtable\"\u003e\u003ctable float=\"Yes\" id=\"Tab1\" border=\"1\"\u003e \u003ccaption language=\"En\"\u003e \u003cdiv class=\"CaptionNumber\"\u003eTable 1\u003c/div\u003e \u003cdiv class=\"CaptionContent\"\u003e \u003cp\u003eThe level coding and treatment combination of each treatment factor\u003c/p\u003e \u003c/div\u003e \u003c/caption\u003e \u003ccolgroup cols=\"9\"\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c1\" colnum=\"1\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c2\" colnum=\"2\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c3\" colnum=\"3\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c4\" colnum=\"4\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c5\" colnum=\"5\"\u003e\u003c/div\u003e \u003cdiv align=\"char\" char=\".\" class=\"colspec\" colname=\"c6\" colnum=\"6\"\u003e\u003c/div\u003e \u003cdiv align=\"char\" char=\".\" class=\"colspec\" colname=\"c7\" colnum=\"7\"\u003e\u003c/div\u003e \u003cdiv align=\"char\" char=\".\" class=\"colspec\" colname=\"c8\" colnum=\"8\"\u003e\u003c/div\u003e \u003cdiv align=\"char\" char=\".\" class=\"colspec\" colname=\"c9\" colnum=\"9\"\u003e\u003c/div\u003e \u003cthead\u003e \u003ctr\u003e \u003cth align=\"left\" colname=\"c1\" morerows=\"1\" rowspan=\"2\"\u003e \u003cp\u003eTreatment\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colspan=\"4\" nameend=\"c5\" namest=\"c2\"\u003e \u003cp\u003eCode value scheme\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colspan=\"4\" nameend=\"c9\" namest=\"c6\"\u003e \u003cp\u003eactual value\u003c/p\u003e \u003c/th\u003e \u003c/tr\u003e \u003ctr\u003e \u003cth align=\"left\" colname=\"c2\"\u003e \u003cp\u003eIrrigation level\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c3\"\u003e \u003cp\u003eThe amount of nitrogen\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c4\"\u003e \u003cp\u003ePhosphate\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c5\"\u003e \u003cp\u003eamount of potassium applied\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c6\"\u003e \u003cp\u003eIrrigation level(mm/hm\u003csup\u003e2\u003c/sup\u003e)\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c7\"\u003e \u003cp\u003eThe amount of nitrogen(kg/hm\u003csup\u003e2\u003c/sup\u003e)\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c8\"\u003e \u003cp\u003ePhosphate(kg/hm\u003csup\u003e2\u003c/sup\u003e)\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c9\"\u003e \u003cp\u003eamount of potassium applied (kg/hm\u003csup\u003e2\u003c/sup\u003e)\u003c/p\u003e \u003c/th\u003e \u003c/tr\u003e \u003c/thead\u003e \u003ctbody\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003e1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003e1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e543\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e855\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c8\"\u003e \u003cp\u003e657\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c9\"\u003e \u003cp\u003e1107\u003c/p\u003e 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\u003cp\u003eH3\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003e1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003e-1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e543\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e285\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c8\"\u003e \u003cp\u003e657\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c9\"\u003e \u003cp\u003e369\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH4\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003e1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e-1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e-1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003e1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e543\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e285\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c8\"\u003e \u003cp\u003e219\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c9\"\u003e \u003cp\u003e1107\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH5\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003e-1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003e-1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e369\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e855\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c8\"\u003e \u003cp\u003e657\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c9\"\u003e \u003cp\u003e369\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH6\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003e-1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e-1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003e1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e369\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e855\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c8\"\u003e \u003cp\u003e219\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c9\"\u003e \u003cp\u003e1107\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH7\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003e-1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e-1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003e1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e369\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e285\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c8\"\u003e \u003cp\u003e657\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c9\"\u003e \u003cp\u003e1107\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH8\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003e-1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e-1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e-1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003e-1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e369\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e285\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c8\"\u003e \u003cp\u003e219\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c9\"\u003e \u003cp\u003e369\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH9\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003e-1.6818\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e0\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e0\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003e0\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e310\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e570\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c8\"\u003e \u003cp\u003e438\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c9\"\u003e \u003cp\u003e738\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH10\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003e1.6818\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e0\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e0\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003e0\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e602\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e570\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c8\"\u003e \u003cp\u003e438\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c9\"\u003e \u003cp\u003e738\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH11\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003e0\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e-1.6818\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e0\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003e0\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e456\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e90\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c8\"\u003e \u003cp\u003e438\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c9\"\u003e \u003cp\u003e738\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH12\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003e0\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e1.6818\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e0\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003e0\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e456\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e1049\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c8\"\u003e \u003cp\u003e438\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c9\"\u003e \u003cp\u003e738\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH13\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003e0\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e0\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e-1.6818\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003e0\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e456\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e570\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c8\"\u003e \u003cp\u003e70\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c9\"\u003e \u003cp\u003e738\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH14\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003e0\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e0\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e1.6818\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003e0\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e456\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e570\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c8\"\u003e \u003cp\u003e806\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c9\"\u003e \u003cp\u003e738\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH15\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003e0\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e0\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e0\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003e-1.6818\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e456\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e570\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c8\"\u003e \u003cp\u003e438\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c9\"\u003e \u003cp\u003e117\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH16\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003e0\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e0\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e0\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003e1.6818\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e456\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e570\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c8\"\u003e \u003cp\u003e438\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c9\"\u003e \u003cp\u003e1359\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH17\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003e0\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e0\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e0\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003e0\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e456\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e570\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c8\"\u003e \u003cp\u003e438\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c9\"\u003e \u003cp\u003e738\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH18\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003e0\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e0\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e0\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003e0\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e456\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e570\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c8\"\u003e \u003cp\u003e438\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c9\"\u003e \u003cp\u003e738\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH19\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003e0\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e0\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e0\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003e0\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e456\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e570\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c8\"\u003e \u003cp\u003e438\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c9\"\u003e \u003cp\u003e738\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH20\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003e0\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e0\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003e0\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003e0\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e456\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e570\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c8\"\u003e \u003cp\u003e438\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c9\"\u003e \u003cp\u003e738\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003c/tbody\u003e \u003c/colgroup\u003e \u003c/table\u003e\u003c/div\u003e \u003c/p\u003e \u003cp\u003e \u003cdiv class=\"BlockQuote\"\u003e \u003cp\u003eFor convenience, the fertilizer parameters represented by the coded values of -1.682, -1, 0, 1 and 1.682 are replaced by low, lower, medium, higher and high throughout the article.\u003c/p\u003e \u003c/div\u003e \u003c/p\u003e \u003c/div\u003e \u003cdiv id=\"Sec5\" class=\"Section2\"\u003e \u003ch2\u003e2.3 Determination of indicators\u003c/h2\u003e \u003cp\u003e \u003cdiv class=\"BlockQuote\"\u003e \u003cp\u003eFruit hardness was measured with a GY-4 fruit hardness tester. Three tomatoes were taken from each group, and the fruit chamber was separated from its equator for measurement. The hardness meter probe pointed vertically to the fruit and applied pressure until the top of the probe pressed into the pulp. The hardness was recorded in kg\u0026middot;cm\u003csup\u003e\u0026minus;\u0026thinsp;2\u003c/sup\u003e. The average hardness of each fruit was calculated\u003csup\u003e[\u003cspan citationid=\"CR7\" class=\"CitationRef\"\u003e7\u003c/span\u003e]\u003c/sup\u003e.\u003c/p\u003e \u003cp\u003eSoluble sugar content: The content of soluble sugar was determined via anthrone colorimetry. Each sample was measured three times in parallel. The content of soluble sugar was calculated from the standard curve, and the unit was %.\u003c/p\u003e \u003cp\u003eLycopene content: The lycopene content was calculated based on the value obtained using the colorimeter. The method was adopted by Hasan.Yildiz et al. to rapidly detect the lycopene content with a colorimeter\u003csup\u003e[\u003cspan citationid=\"CR8\" class=\"CitationRef\"\u003e8\u003c/span\u003e]\u003c/sup\u003e. The CR-400/410 colorimeter was used. Three fruits were taken from each group; each fruit was measured three times, and three consecutive values were recorded. Chroma was measured using L, a, b values, and substituted into the formula, O (lycopene content)\u0026thinsp;=\u0026thinsp;3.004X-35.003, where X is the Chroma value, and the lycopene content is expressed as \u0026micro;g\u0026middot;g\u003csup\u003e-1\u003c/sup\u003e.\u003c/p\u003e \u003cp\u003eVitamin C content: The vitamin C content was determined via 2,6-dichlorophenol indophenol sodium method. Each sample was measured three times in parallel. The content of vitamin C was calculated from the standard curve, and the unit of measurement was mg\u0026middot;kg\u003csup\u003e-1\u003c/sup\u003e.\u003c/p\u003e \u003cp\u003eTomato quality index (TQI): Tomato quality index (TQI) was calculated as described by Chen Yi\u003csup\u003e[\u003cspan citationid=\"CR32\" class=\"CitationRef\"\u003e32\u003c/span\u003e]\u003c/sup\u003e and other comprehensive methods of evaluation of tomato fruit. First, the indices of hardness, soluble sugar, lycopene and vitamin C levels were non-dimensionally treated to eliminate the differences between measurements, and the values ranged between 0 and 1. Next, each index was calculated using Formula (1), where Ti is dimensionless quantity and y is the actual measured value of each index, The maximum and minimum values of each index are represented by m and s. Finally, the value of TQI was obtained using formula (2). Formula (1) was used to calculate the TQI. The larger the value, the better the comprehensive quality of tomato fruit preserved under storage following water and fertilizer treatment.\u003c/p\u003e \u003c/div\u003e \u003cdiv id=\"Equ1\" class=\"Equation\"\u003e \u003cdiv format=\"TEX\" class=\"mathdisplay\" id=\"FileID_Equ1\" name=\"EquationSource\"\u003e\n$$\\:\\text{T}\\text{i}=\\left(\\text{y}-\\text{s}\\right)/\\left(\\text{m}-\\text{s}\\right)$$\u003c/div\u003e \u003cdiv class=\"EquationNumber\"\u003e1\u003c/div\u003e\u003c/div\u003e \u003cdiv id=\"Equ2\" class=\"Equation\"\u003e \u003cdiv format=\"TEX\" class=\"mathdisplay\" id=\"FileID_Equ2\" name=\"EquationSource\"\u003e\n$$\\:\\text{TQI=}{\\sum\\:}_{\\text{i=1}}^{\\text{n}}\\text{Ti}$$\u003c/div\u003e \u003cdiv class=\"EquationNumber\"\u003e2\u003c/div\u003e\u003c/div\u003e \u003c/p\u003e \u003c/div\u003e \u003cdiv id=\"Sec6\" class=\"Section2\"\u003e \u003ch2\u003e2.4 Kinetic model and data processing\u003c/h2\u003e \u003cdiv id=\"Sec7\" class=\"Section3\"\u003e \u003ch2\u003e2.4.1 Zero-order and first-order kinetic equations\u003c/h2\u003e \u003cp\u003e \u003cdiv class=\"BlockQuote\"\u003e \u003cp\u003eA large number of experiments show that the nutritional components and sensory indices of fruits and vegetables are affected by various factors during low temperature storage. Most of these changes follow the zero-order or first-order reaction kinetics, represented by Eq.\u0026nbsp;(3) and Eq.\u0026nbsp;(4) below.\u003c/p\u003e \u003cp\u003eZero-order reaction:\u003cspan class=\"InlineEquation\"\u003e\u003cspan class=\"mathinline\"\u003e\\(\\:\\left[{\\text{N}}_{0}\\right]-\\left[N\\right]=k\\)\u003c/span\u003e\u003c/span\u003e (3)\u003c/p\u003e \u003cp\u003eFirst-order reaction:\u003cspan class=\"InlineEquation\"\u003e\u003cspan class=\"mathinline\"\u003e\\(\\:\\left[N\\right]=\\left[{\\text{N}}_{0}\\right]exp\\left(-kt\\right)\\)\u003c/span\u003e\u003c/span\u003e (4)\u003c/p\u003e \u003cp\u003eBy taking the logarithm of formula ( 2 ), we obtain :\u003cspan class=\"InlineEquation\"\u003e\u003cspan class=\"mathinline\"\u003e\\(\\:\\left[{\\text{N}}_{0}\\right]-\\text{ln}[N]=kt\\)\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e \u003cp\u003eIn the formula, t is the storage time,[N\u003csub\u003e0\u003c/sub\u003e]is the initial quality index of tomato storage, [N] is a quality index after t days of storage, and k is the rate constant of the reaction. The reaction order and equation were determined according to the measured data of tomato quality index changing with time during storage.\u003c/p\u003e \u003c/div\u003e \u003c/p\u003e \u003c/div\u003e \u003cdiv id=\"Sec8\" class=\"Section3\"\u003e \u003ch2\u003e2.4.2 Data processing\u003c/h2\u003e \u003cp\u003e \u003cdiv class=\"BlockQuote\"\u003e \u003cp\u003eIn this experiment, Microsoft Office Excel 2020 was used to count and sort the data, and GraphPad Prism 9.0 was used for data analysis. SPSS version 18.0 and DPS data processing system were used to process each index. The relationship between TQI and quality indices after storage was tested via linear regression analysis.The Materials and Methods shouldbe described with sufficient details to allow others to replicate and build on the published results. Please note that the publication of your manuscript implicates that you must make all materials, data, computer code, and protocols associated with the publication available to readers. Please disclose at the submission stage any restrictions on the availability of materials or information. New methods and protocols should be described in detail while well-established methods can be briefly described and appropriately cited.\u003c/p\u003e \u003cp\u003eResearch manuscripts reporting large datasets that are deposited in a publicly available database should specify where the data have been deposited and provide the relevant accession numbers. If the accession numbers have not yet been obtained at the time of submission, please state that they will be provided during review. They must be provided prior to publication.\u003c/p\u003e \u003cp\u003eInterventionary studies involving animals or humans, and other studies that require ethical approval, must list the authority that provided approval and the corresponding ethical approval code.\u003c/p\u003e \u003c/div\u003e \u003c/p\u003e \u003c/div\u003e \u003c/div\u003e"},{"header":"3. Results","content":"\u003cdiv id=\"Sec10\" class=\"Section2\"\u003e \u003ch2\u003e3.1. Changes in the hardness of tomatoes grown under different water and fertilizer treatments during storage\u003c/h2\u003e \u003cp\u003e \u003cdiv class=\"BlockQuote\"\u003e \u003cp\u003eFruit firmness is a complex trait involving many physical properties, including cell wall structure, cell turgor and cuticle properties\u003csup\u003e[\u003cspan additionalcitationids=\"CR11 CR12\" citationid=\"CR10\" class=\"CitationRef\"\u003e10\u003c/span\u003e\u0026ndash;\u003cspan citationid=\"CR13\" class=\"CitationRef\"\u003e13\u003c/span\u003e]\u003c/sup\u003e.As shown in Figure.1, different water and fertilizer ratios affected the hardness of tomatoes during storage. With the extension of storage time, each treatment showed a 'slow-fast-slow' downward trend. The hardness value of each treatment showed a slow downward trend under storage between days 0 and 14. The hardness of H10 was the highest (5.289 kg\u0026middot;cm\u003csup\u003e-2\u003c/sup\u003e) after 14 days of storage, suggesting a decrease of 24.8%. The hardness of H7 was 5.222 kg\u0026middot;cm\u003csup\u003e-2\u003c/sup\u003e, which decreased by 22.1%. After 14\u0026ndash;21 days of storage, the hardness of tomato fruit decreased rapidly, with H8 showing the smallest decrease of 26.8% and H11 the largest decrease of 60.8%. The hardness of H8 was the highest after 21 days of storage, which was 3.944 kg\u0026middot;cm\u003csup\u003e-2\u003c/sup\u003e, followed by H13, which showed a hardness value of 3.889 kg\u0026middot;cm\u003csup\u003e-2\u003c/sup\u003e.It indicated that fruit softening was closely related to the disintegration and degradation of cell wall during storage.\u003c/p\u003e \u003c/div\u003e \u003c/p\u003e \u003cp\u003e \u003cdiv class=\"BlockQuote\"\u003e \u003cp\u003eBased on the experimental data, the reaction rate constant k of the hard sand-cultured tomatoes, under the corresponding reaction coefficient was calculated from Eqs.\u0026nbsp;(3) and (4), and the correlation coefficient R\u003csup\u003e2\u003c/sup\u003e was obtained. The results are shown in Table\u0026nbsp;\u003cspan refid=\"Tab2\" class=\"InternalRef\"\u003e2\u003c/span\u003e. The correlation coefficient R\u003csup\u003e2\u003c/sup\u003e in the first-order reaction was larger than that in the zero-order reaction, which indicates that the fitting degree of the hardness change and the first-order reaction change was enhanced during the storage of sand-cultured tomatoes. Therefore, the kinetics of hardness change of sand-cultured tomato under storage was consistent with first-order reaction. In terms of hardness, the stored tomatoes in H2, H3, H12, H13, H15 and H20 groups fitted the first-order reaction kinetic model.\u003c/p\u003e \u003c/div\u003e \u003c/p\u003e \u003cp\u003e \u003cdiv class=\"gridtable\"\u003e\u003ctable float=\"Yes\" id=\"Tab2\" border=\"1\"\u003e \u003ccaption language=\"En\"\u003e \u003cdiv class=\"CaptionNumber\"\u003eTable 2\u003c/div\u003e \u003cdiv class=\"CaptionContent\"\u003e \u003cp\u003eThis is a table. Tables should be placed in the main text near to the first time they are cited.\u003c/p\u003e \u003c/div\u003e \u003c/caption\u003e \u003ccolgroup cols=\"7\"\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c1\" colnum=\"1\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c2\" colnum=\"2\"\u003e\u003c/div\u003e \u003cdiv align=\"char\" char=\".\" class=\"colspec\" colname=\"c3\" colnum=\"3\"\u003e\u003c/div\u003e \u003cdiv align=\"char\" char=\".\" class=\"colspec\" colname=\"c4\" colnum=\"4\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c5\" colnum=\"5\"\u003e\u003c/div\u003e \u003cdiv align=\"char\" char=\".\" class=\"colspec\" colname=\"c6\" colnum=\"6\"\u003e\u003c/div\u003e \u003cdiv align=\"char\" char=\".\" class=\"colspec\" colname=\"c7\" colnum=\"7\"\u003e\u003c/div\u003e \u003cthead\u003e \u003ctr\u003e \u003cth align=\"left\" colname=\"c1\" morerows=\"1\" rowspan=\"2\"\u003e \u003cp\u003eWater and fertilizer treatment\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colspan=\"3\" nameend=\"c4\" namest=\"c2\"\u003e \u003cp\u003eZero-order reaction\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colspan=\"3\" nameend=\"c7\" namest=\"c5\"\u003e \u003cp\u003eOne-order reaction\u003c/p\u003e \u003c/th\u003e \u003c/tr\u003e \u003ctr\u003e \u003cth align=\"left\" colname=\"c2\"\u003e \u003cp\u003eregression equation\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c3\"\u003e \u003cp\u003eReaction rate constant\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c4\"\u003e \u003cp\u003eCorrelation coefficient\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c5\"\u003e \u003cp\u003eregression equation\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c6\"\u003e \u003cp\u003eReaction rate constant\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c7\"\u003e \u003cp\u003eCorrelation coefficient\u003c/p\u003e \u003c/th\u003e \u003c/tr\u003e \u003c/thead\u003e \u003ctbody\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;0.613556\u0026minus;0.011341X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.011341\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.9056\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;0.715972/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;1.6637\u0026thinsp;+\u0026thinsp;0.074204X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.074204\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9157\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH2\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;0.622444\u0026minus;0.010603X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.010603\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.9575\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;831.5989/(1\u0026thinsp;+\u0026thinsp;EXP(7.1735\u0026thinsp;+\u0026thinsp;0.023001X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.023001\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9818\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH3\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;0.584889\u0026minus;0.009968X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.009968\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.9595\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;0.605382/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;2.5640\u0026thinsp;+\u0026thinsp;0.095588X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.095588\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9866\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH4\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;0.609889\u0026minus;0.012873X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.012873\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.9385\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;0.666221/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;2.0774\u0026thinsp;+\u0026thinsp;0.096845X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.096845\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9613\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH5\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;0.590222\u0026minus;0.010921X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.010921\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.8848\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;0.606894/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;2.6517\u0026thinsp;+\u0026thinsp;0.105617X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.105617\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9296\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH6\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;0.599333\u0026minus;0.010524X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.010524\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.9185\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;0.610340/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;2.7643\u0026thinsp;+\u0026thinsp;0.105018X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.105018\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9622\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH7\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;0.636444\u0026minus;0.013159X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.013159\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.9135\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;0.643247/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;2.7932\u0026thinsp;+\u0026thinsp;0.119279X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.119279\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9588\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH8\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;0.603889\u0026minus;0.009365X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.009365\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.9712\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;0.835779/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;0.939008\u0026thinsp;+\u0026thinsp;0.047201X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.047201\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9744\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH9\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;0.584778\u0026minus;0.012540X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.012540\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.9594\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;0.634521/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;2.1096\u0026thinsp;+\u0026thinsp;0.098699X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.098699\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9778\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH10\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;0.620000\u0026minus;0.010460X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.010460\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.9012\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;0.673096/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;2.1559\u0026thinsp;+\u0026thinsp;0.082881X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.082881\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9258\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH11\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;0.666889\u0026minus;0.015651X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.015651\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.9217\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;0.720430/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;2.1611\u0026thinsp;+\u0026thinsp;0.109661X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.109661\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9450\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH12\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;0.633311\u0026minus;0.012857X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.012857\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.9780\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;1.9470/(1\u0026thinsp;+\u0026thinsp;EXP(0.700469\u0026thinsp;+\u0026thinsp;0.037786X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.037786\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9844\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH13\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;0.676444\u0026minus;0.013333X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.013333\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.9846\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;0.769768/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;1.7915\u0026thinsp;+\u0026thinsp;0.081801X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.081801\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9929\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH14\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;0.618444\u0026minus;0.012921X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.012921\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.9416\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;0.652681/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;2.3483\u0026thinsp;+\u0026thinsp;0.104762X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.104762\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9718\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH15\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;0.623333\u0026minus;0.011238X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.011238\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.9288\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;0.625679/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;2.9466\u0026thinsp;+\u0026thinsp;0.113388X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.113388\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9867\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH16\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;0.662889\u0026minus;0.012206X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.012206\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.9705\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;1.1094/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;0.404949\u0026thinsp;+\u0026thinsp;0.045979X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.045979\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9726\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH17\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;0.602444\u0026minus;0.011905X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.011905\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.9261\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;1.1123/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;0.187209\u0026thinsp;+\u0026thinsp;0.046426X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.046426\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9302\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH18\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;0.634333\u0026minus;0.012778X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.012778\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.9175\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;0.943992/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;0.720706\u0026thinsp;+\u0026thinsp;0.056926X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.056926\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9212\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH19\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;0.631111\u0026minus;0.011556X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.011556\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.9571\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;2.3789/(1\u0026thinsp;+\u0026thinsp;EXP(0.995675\u0026thinsp;+\u0026thinsp;0.031162X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.031162\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9630\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH20\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;0.700667\u0026minus;0.014048X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.014048\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.9465\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;0.711344/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;2.7299\u0026thinsp;+\u0026thinsp;0.113821X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.113821\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9858\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003c/tbody\u003e \u003c/colgroup\u003e \u003ctfoot\u003e \u003ctr\u003e\u003ctd colspan=\"7\"\u003eNote: X1 in the table is the number of days of tomato storage; X2 is the predicted value of tomato hardness.\u003c/td\u003e\u003c/tr\u003e \u003c/tfoot\u003e \u003c/table\u003e\u003c/div\u003e \u003c/p\u003e \u003c/div\u003e \u003cdiv id=\"Sec11\" class=\"Section2\"\u003e \u003ch2\u003e3.2. Changes in soluble sugar under different water and fertilizer treatments during storage\u003c/h2\u003e \u003cp\u003e \u003cdiv class=\"BlockQuote\"\u003e \u003cp\u003eAs shown in Figure.2, different water and fertilizer ratios specifically altered the levels of soluble sugar in tomato during storage. With the extension of storage time, each treatment showed a uniform downward trend. Storage for zero to14 days decreased the soluble sugar content under each treatment, with the largest decrease observed after storage for 14 days in H17 (2.19%), resulting in a decrease by 55.1%. The H13 group showed a soluble sugar value of 2.18%, representing a decrease of 25.8%. After 0\u0026ndash;21 days of storage, H11 had the smallest decrease of 87.1%, and H1 had the largest decrease of 90.1%. At 28 days of storage, the soluble sugar value of H17 was the highest at1.48%, followed by H11 group, which was 1.43%.It indicated that the respiration rate consumed the soluble sugar content in tomato fruit during storage.\u003c/p\u003e \u003c/div\u003e \u003c/p\u003e \u003cp\u003e \u003cdiv class=\"BlockQuote\"\u003e \u003cp\u003eThe experimental data of soluble sugar were calculated using Eq.\u0026nbsp;(3) and Eq.\u0026nbsp;(4). The rate constants k in zero-order and first-order reactions of the kinetic model were obtained, together with their correlation coefficient R\u003csup\u003e2\u003c/sup\u003e. By comparing the correlation coefficients of the two series, it was shown that the soluble sugar of sand-cultured tomatoes under different water and fertilizer ratios was more consistent with the first-order reaction. The first-order reaction of H17 was better, and the correlation coefficient was 0.9754. The change in soluble sugar under storage was consistent with the first-order reaction.\u003c/p\u003e \u003c/div\u003e \u003c/p\u003e \u003cp\u003e \u003cdiv class=\"gridtable\"\u003e\u003ctable float=\"Yes\" id=\"Tab3\" border=\"1\"\u003e \u003ccaption language=\"En\"\u003e \u003cdiv class=\"CaptionNumber\"\u003eTable 3\u003c/div\u003e \u003cdiv class=\"CaptionContent\"\u003e \u003cp\u003eZero-order and first-order reaction rate constants and correlation coefficients of soluble sugar content of tomato in sand culture under different water and fertilizer ratios\u003c/p\u003e \u003c/div\u003e \u003c/caption\u003e \u003ccolgroup cols=\"7\"\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c1\" colnum=\"1\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c2\" colnum=\"2\"\u003e\u003c/div\u003e \u003cdiv align=\"char\" char=\".\" class=\"colspec\" colname=\"c3\" colnum=\"3\"\u003e\u003c/div\u003e \u003cdiv align=\"char\" char=\".\" class=\"colspec\" colname=\"c4\" colnum=\"4\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c5\" colnum=\"5\"\u003e\u003c/div\u003e \u003cdiv align=\"char\" char=\".\" class=\"colspec\" colname=\"c6\" colnum=\"6\"\u003e\u003c/div\u003e \u003cdiv align=\"char\" char=\".\" class=\"colspec\" colname=\"c7\" colnum=\"7\"\u003e\u003c/div\u003e \u003cthead\u003e \u003ctr\u003e \u003cth align=\"left\" colname=\"c1\" morerows=\"1\" rowspan=\"2\"\u003e \u003cp\u003eWater and fertilizer treatment\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colspan=\"3\" nameend=\"c4\" namest=\"c2\"\u003e \u003cp\u003eZero-order reaction\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colspan=\"3\" nameend=\"c7\" namest=\"c5\"\u003e \u003cp\u003eOne-order reaction\u003c/p\u003e \u003c/th\u003e \u003c/tr\u003e \u003ctr\u003e \u003cth align=\"left\" colname=\"c2\"\u003e \u003cp\u003eregression equation\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c3\"\u003e \u003cp\u003eReaction rate constant\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c4\"\u003e \u003cp\u003eCorrelation coefficient\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c5\"\u003e \u003cp\u003eregression equation\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c6\"\u003e \u003cp\u003eReaction rate constant\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c7\"\u003e \u003cp\u003eCorrelation coefficient\u003c/p\u003e \u003c/th\u003e \u003c/tr\u003e \u003c/thead\u003e \u003ctbody\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;28.8470\u0026minus;0.755354X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.755354\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.8395\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;8481.9293/(1\u0026thinsp;+\u0026thinsp;EXP(5.5899\u0026thinsp;+\u0026thinsp;0.047548X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.047548\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9457\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH2\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;26.5926\u0026minus;0.576422X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.576422\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.9819\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;29.6266/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;1.9231\u0026thinsp;+\u0026thinsp;0.093496X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.093496\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9953\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH3\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;22.8185\u0026minus;0.359867X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.359867\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.8379\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;72541.1600/(1\u0026thinsp;+\u0026thinsp;EXP(8.0340\u0026thinsp;+\u0026thinsp;0.021706X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.021706\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.8952\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH4\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;22.8185\u0026minus;0.359867X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.359867\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.8379\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;72541.1600/(1\u0026thinsp;+\u0026thinsp;EXP(8.0340\u0026thinsp;+\u0026thinsp;0.021706X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.021706\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.8952\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH5\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;21.6233\u0026minus;0.419661X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.419661\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.9807\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;128163.0305/(1\u0026thinsp;+\u0026thinsp;EXP(8.6605\u0026thinsp;+\u0026thinsp;0.027113X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.027113\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9940\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH6\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;25.6608\u0026minus;0.610153X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.610153\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.9039\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;30.3448/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;1.5767\u0026thinsp;+\u0026thinsp;0.090557X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.090557\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9067\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH7\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;25.9195\u0026minus;0.626635X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.626635\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.9481\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;29.8062/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;1.7588\u0026thinsp;+\u0026thinsp;0.099337X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.099337\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9646\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH8\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;22.6970\u0026minus;0.372647X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.372647\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.9793\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;171521.3241/(1\u0026thinsp;+\u0026thinsp;EXP(8.9101\u0026thinsp;+\u0026thinsp;0.021750X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.021750\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9969\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH9\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;26.3834\u0026minus;0.542267X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.542267\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.7864\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;22.5843/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;8.5787\u0026thinsp;+\u0026thinsp;0.329461X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.329461\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.8951\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH10\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;27.7176\u0026minus;0.667503X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.667503\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.9872\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;31.4207/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;1.8166\u0026thinsp;+\u0026thinsp;0.099736X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.099736\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9970\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH11\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;21.0315\u0026minus;0.241560X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.241560\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.8912\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;36342.2462/(1\u0026thinsp;+\u0026thinsp;EXP(7.4434\u0026thinsp;+\u0026thinsp;0.013990X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.013990\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9092\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH12\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;23.6797\u0026minus;0.397745X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.397745\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.9364\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;3479.2203/(1\u0026thinsp;+\u0026thinsp;EXP(4.9641\u0026thinsp;+\u0026thinsp;0.022361X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.022361\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9455\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH13\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;24.9081\u0026minus;0.409861X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.409861\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.8881\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;25.8104/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;2.6009\u0026thinsp;+\u0026thinsp;0.095383X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.095383\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9278\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH14\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;22.8886\u0026minus;0.376458X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.376458\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.8863\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;136036.4153/(1\u0026thinsp;+\u0026thinsp;EXP(8.6627\u0026thinsp;+\u0026thinsp;0.022460X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.022460\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9279\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH15\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;23.9872\u0026minus;0.408938X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.408938\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.8627\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;22.5429/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;4.4227\u0026thinsp;+\u0026thinsp;0.162398X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.162398\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9858\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH16\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;23.6017\u0026minus;0.403839X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.403839\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.9399\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;41.4151/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;0.290605\u0026thinsp;+\u0026thinsp;0.040683X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.040683\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9414\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH17\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;30.3753\u0026minus;0.608310X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.608310\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.9655\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;77.5410/(1\u0026thinsp;+\u0026thinsp;EXP(0.410452\u0026thinsp;+\u0026thinsp;0.039907X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.039907\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9754\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH18\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;24.2516\u0026minus;0.403246X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.403246\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.9675\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;26.1364/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;2.1926\u0026thinsp;+\u0026thinsp;0.082239X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.082239\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9827\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH19\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;21.6041\u0026minus;0.426556X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.426556\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.8993\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;196525.7721/(1\u0026thinsp;+\u0026thinsp;EXP(9.0774\u0026thinsp;+\u0026thinsp;0.028822X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.028822\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9462\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH20\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;24.1891\u0026minus;0.382369X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.382369\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.8506\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;27980.1398/(1\u0026thinsp;+\u0026thinsp;EXP(7.0305\u0026thinsp;+\u0026thinsp;0.021042X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.021042\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.8777\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003c/tbody\u003e \u003c/colgroup\u003e \u003ctfoot\u003e \u003ctr\u003e\u003ctd colspan=\"7\"\u003eNote : X1 in the table is the number of days of tomato storage ; x2 is the predicted value of tomato soluble sugar.\u003c/td\u003e\u003c/tr\u003e \u003c/tfoot\u003e \u003c/table\u003e\u003c/div\u003e \u003c/p\u003e \u003c/div\u003e \u003cdiv id=\"Sec12\" class=\"Section2\"\u003e \u003ch2\u003e3.3. Changes in lycopene content under different water and fertilizer treatments during storage\u003c/h2\u003e \u003cp\u003e \u003cdiv class=\"BlockQuote\"\u003e \u003cp\u003eAs shown in Figure.3, different water and fertilizer ratios affected the changes in lycopene content during storage. With the prolongation of storage time, each treatment led to a 'slow rise-rapid decline'. The lycopene content of each treated fruit showed a slow upward trend at 0\u0026ndash;14 days of storage. After 14 days of storage, the lycopene content of H11 increased the most, which was 125.62 \u0026micro;g\u0026middot;g\u003csup\u003e\u0026minus;\u0026thinsp;1\u003c/sup\u003e, followed by H13, with a lycopene content of 125.02 \u0026micro;g\u0026middot;g-1. After 14\u0026ndash;21 days of storage, the lycopene content of tomato fruits in each treatment decreased rapidly, The decrease in lycopene levels of H18 was the smallest (15.4%), and the decrease in H10 was the largest (87.7%). At 28 days of storage, the lycopene value of H1 was the highest at 97.21 \u0026micro;g\u0026middot;g\u003csup\u003e\u0026minus;\u0026thinsp;1\u003c/sup\u003e, followed by H13 group, which was 96.08 \u0026micro;g\u0026middot;g\u003csup\u003e\u0026minus;\u0026thinsp;1\u003c/sup\u003e.The reason for the first increase and then decrease was that the after-ripening effect of tomato led to the increase of lycopene content, and then the content decreased due to the respiratory jump during storage.\u003c/p\u003e \u003c/div\u003e \u003c/p\u003e \u003cp\u003e \u003cdiv class=\"BlockQuote\"\u003e \u003cp\u003eThe lycopene test data were calculated using Eqs.\u0026nbsp;(3) and (4). The rate constant (k) in the zero-order and first-order reactions of the kinetic model was obtained, and the correlation coefficient R\u003csup\u003e2\u003c/sup\u003e was also determined. Based on the correlation analysis, the lycopene of sand-cultured tomatoes under different water and fertilizer ratios was more consistent with the first-order reaction. Comparing the first-order reactions of 20 groups of lycopene, it was found that H2, H3, H6, H11, H13, H16 and H20 groups had a higher degree of fitting with the first-order reaction.\u003c/p\u003e \u003c/div\u003e \u003c/p\u003e \u003cp\u003e \u003cdiv class=\"gridtable\"\u003e\u003ctable float=\"Yes\" id=\"Tab4\" border=\"1\"\u003e \u003ccaption language=\"En\"\u003e \u003cdiv class=\"CaptionNumber\"\u003eTable 4\u003c/div\u003e \u003cdiv class=\"CaptionContent\"\u003e \u003cp\u003eZero-order and first-order reaction rate constants and correlation coefficients of lycopene content in sand-cultured tomato under different water and fertilizer ratios\u003c/p\u003e \u003c/div\u003e \u003c/caption\u003e \u003ccolgroup cols=\"7\"\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c1\" colnum=\"1\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c2\" colnum=\"2\"\u003e\u003c/div\u003e \u003cdiv align=\"char\" char=\".\" class=\"colspec\" colname=\"c3\" colnum=\"3\"\u003e\u003c/div\u003e \u003cdiv align=\"char\" char=\".\" class=\"colspec\" colname=\"c4\" colnum=\"4\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c5\" colnum=\"5\"\u003e\u003c/div\u003e \u003cdiv align=\"char\" char=\".\" class=\"colspec\" colname=\"c6\" colnum=\"6\"\u003e\u003c/div\u003e \u003cdiv align=\"char\" char=\".\" class=\"colspec\" colname=\"c7\" colnum=\"7\"\u003e\u003c/div\u003e \u003cthead\u003e \u003ctr\u003e \u003cth align=\"left\" colname=\"c1\" morerows=\"1\" rowspan=\"2\"\u003e \u003cp\u003eWater and fertilizer treatment\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colspan=\"3\" nameend=\"c4\" namest=\"c2\"\u003e \u003cp\u003eZero-order reaction\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colspan=\"3\" nameend=\"c7\" namest=\"c5\"\u003e \u003cp\u003eOne-order reaction\u003c/p\u003e \u003c/th\u003e \u003c/tr\u003e \u003ctr\u003e \u003cth align=\"left\" colname=\"c2\"\u003e \u003cp\u003eregression equation\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c3\"\u003e \u003cp\u003eReaction rate constant\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c4\"\u003e \u003cp\u003eCorrelation coefficient\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c5\"\u003e \u003cp\u003eregression equation\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c6\"\u003e \u003cp\u003eReaction rate constant\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c7\"\u003e \u003cp\u003eCorrelation coefficient\u003c/p\u003e \u003c/th\u003e \u003c/tr\u003e \u003c/thead\u003e \u003ctbody\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;114.1535\u0026minus;0.393447X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.393447\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.1656\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;113.4065/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;7.1691\u0026thinsp;+\u0026thinsp;0.194381X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.194381\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.4448\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH2\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;119.4587\u0026minus;1.1284X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e1.1284\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.4470\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;113.5233/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;9.1896\u0026thinsp;+\u0026thinsp;0.308270X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.308270\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9064\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH3\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;117.7443\u0026minus;1.1929X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e1.1929\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.4926\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;111.9576/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;7.5344\u0026thinsp;+\u0026thinsp;0.250599X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.250599\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.8835\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH4\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;124.5365\u0026minus;1.2282X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e1.2282\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.5204\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;119.9351/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;5.7911\u0026thinsp;+\u0026thinsp;0.184073X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.184073\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.8175\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH5\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;118.2350\u0026minus;1.0929X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e1.0929\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.6272\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;114.9281/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;4.8839\u0026thinsp;+\u0026thinsp;0.144766X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.144766\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.8295\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH6\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;123.7006\u0026minus;1.3048X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e1.3048\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.7312\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;121.9513/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;3.8997\u0026thinsp;+\u0026thinsp;0.115155X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.115155\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.8570\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH7\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;119.3229\u0026minus;1.1968X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e1.1968\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.4900\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;115.4133/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;5.3785\u0026thinsp;+\u0026thinsp;0.169974X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.169974\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.7476\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH8\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;112.4134\u0026minus;0.432594X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.432594\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.2893\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;111.1648/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;6.5740\u0026thinsp;+\u0026thinsp;0.171748X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.171748\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.5649\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH9\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;112.3896\u0026minus;0.456737X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.456737\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.1536\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;111.7282/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;6.3736\u0026thinsp;+\u0026thinsp;0.171521X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.171521\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.3733\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH10\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;120.4036\u0026minus;1.2031X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e1.2031\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.5755\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;117.8957/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;4.3473\u0026thinsp;+\u0026thinsp;0.129540X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.129540\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.7307\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH11\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;110.8261\u0026minus;0.583811X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.583811\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.3297\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;108.8337/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;6.8557\u0026thinsp;+\u0026thinsp;0.195863X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.195863\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.6644\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH12\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;112.9478\u0026minus;0.453232X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.453232\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.1929\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;112.0050/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;6.1305\u0026thinsp;+\u0026thinsp;0.158566X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.158566\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.3849\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH13\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;129.5200\u0026minus;1.4121X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e1.4121\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.7124\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;124.9003/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;4.8056\u0026thinsp;+\u0026thinsp;0.150013X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.150013\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9097\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH14\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;115.8803\u0026minus;0.235104X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.235104\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.1875\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;115.2472/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;7.5697\u0026thinsp;+\u0026thinsp;0.184149X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.184149\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.4308\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH15\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;121.4842\u0026minus;1.0956X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e1.0956\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.5273\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;119.2548/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;4.4706\u0026thinsp;+\u0026thinsp;0.129254X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.129254\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.6924\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH16\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;125.5049\u0026minus;1.4829X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e1.4829\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.7338\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;120.8531/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;4.6363\u0026thinsp;+\u0026thinsp;0.148194X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.148194\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9169\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH17\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;126.1745\u0026minus;1.1455X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e1.1455\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.6422\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;126.5790/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;3.5452\u0026thinsp;+\u0026thinsp;0.095305X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.095305\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.7266\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH18\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;120.3463\u0026minus;1.0373X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e1.0373\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.4169\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;114.1383/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;14.3382\u0026thinsp;+\u0026thinsp;0.489449X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.489449\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9675\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH19\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;126.1550\u0026minus;1.2678X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.741408\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.5463\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;119.0906/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;8.6740\u0026thinsp;+\u0026thinsp;0.290296X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.138877\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.7443\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH20\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;119.7115\u0026minus;0.741408X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e1.2678\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.5418\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;117.4821/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;5.2487\u0026thinsp;+\u0026thinsp;0.138877X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.290296\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9663\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003c/tbody\u003e \u003c/colgroup\u003e \u003ctfoot\u003e \u003ctr\u003e\u003ctd colspan=\"7\"\u003eNote : X1 in the table is the number of days of tomato storage ; X2 is the predicted value of tomato lycopene.\u003c/td\u003e\u003c/tr\u003e \u003c/tfoot\u003e \u003c/table\u003e\u003c/div\u003e \u003c/p\u003e \u003c/div\u003e \u003cdiv id=\"Sec13\" class=\"Section2\"\u003e \u003ch2\u003e3.4.Changes in vitamin C content under different water and fertilizer treatments during storage\u003c/h2\u003e \u003cp\u003e \u003cdiv class=\"BlockQuote\"\u003e \u003cp\u003eVitamin C content is one of the important indexes to evaluate the comprehensive quality of tomato.As shown in Figure.4, different water and fertilizer ratios specifically altered the vitamin C content during storage. With the extension of storage time, each treatment showed a 'fast-slow' downward trend. The vitamin C content of each treated fruit showed a rapid downward trend during zero to 14 days of storage. When stored for 14 days, the vitamin C content of H11 was the highest, which was 46.23 mg \u0026middot; kg-1, with a decrease of 43.9%, followed by H17, with a vitamin C content of 42.50 mg \u0026middot; kg-1, representing a decrease of 41.7%. After 14\u0026ndash;28 days of storage, the vitamin C content of tomato fruits in each treatment decreased slowly, with the smallest decrease of 9.3% in H19 and the largest decrease of 46.6% in H17. After 28 days of storage, the vitamin C content of H12 was the highest, which was 30.68 mg\u0026middot;kg\u003csup\u003e\u0026minus;\u0026thinsp;1\u003c/sup\u003e, followed by H13 group, which showed a vitamin C level of 29.85 mg\u0026middot;kg\u003csup\u003e\u0026minus;\u0026thinsp;1\u003c/sup\u003e.\u003c/p\u003e \u003c/div\u003e \u003c/p\u003e \u003cp\u003e \u003cdiv class=\"BlockQuote\"\u003e \u003cp\u003eThe experimental data of vitamin C were calculated using Eq.\u0026nbsp;(3) and Eq.\u0026nbsp;(4), and the number rate constant k of the zero-order and first-order reactions of the kinetic model was obtained, and the correlations coefficient R\u003csup\u003e2\u003c/sup\u003e was also determined. By comparing the correlation coefficients of the two orders, it was shown that the vitamin C of sand-cultured tomatoes under different water and fertilizer ratios was more consistent with the first-order reaction. Comparing the first-order reaction of 20 groups of vitamin C, the results of the first-order reaction fitting degree H15\u0026thinsp;\u0026gt;\u0026thinsp;H3\u0026thinsp;\u0026gt;\u0026thinsp;H1\u0026thinsp;\u0026gt;\u0026thinsp;H2\u0026thinsp;\u0026gt;\u0026thinsp;H13 were obtained, and the fitting degree of H19 was the worst. It was verified that the changes in vitamin C levels under storage were consistent with the first-order reaction.\u003c/p\u003e \u003c/div\u003e \u003c/p\u003e \u003cp\u003e \u003cdiv class=\"gridtable\"\u003e\u003ctable float=\"Yes\" id=\"Tab5\" border=\"1\"\u003e \u003ccaption language=\"En\"\u003e \u003cdiv class=\"CaptionNumber\"\u003eTable 5\u003c/div\u003e \u003cdiv class=\"CaptionContent\"\u003e \u003cp\u003eThe zero-order and first-order reaction rate constants and correlation coefficients of vitamin C content in sand-cultured tomato under different water and fertilizer ratios\u003c/p\u003e \u003c/div\u003e \u003c/caption\u003e \u003ccolgroup cols=\"7\"\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c1\" colnum=\"1\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c2\" colnum=\"2\"\u003e\u003c/div\u003e \u003cdiv align=\"char\" char=\".\" class=\"colspec\" colname=\"c3\" colnum=\"3\"\u003e\u003c/div\u003e \u003cdiv align=\"char\" char=\".\" class=\"colspec\" colname=\"c4\" colnum=\"4\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c5\" colnum=\"5\"\u003e\u003c/div\u003e \u003cdiv align=\"char\" char=\".\" class=\"colspec\" colname=\"c6\" colnum=\"6\"\u003e\u003c/div\u003e \u003cdiv align=\"char\" char=\".\" class=\"colspec\" colname=\"c7\" colnum=\"7\"\u003e\u003c/div\u003e \u003cthead\u003e \u003ctr\u003e \u003cth align=\"left\" colname=\"c1\" morerows=\"1\" rowspan=\"2\"\u003e \u003cp\u003eWater and fertilizer treatment\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colspan=\"3\" nameend=\"c4\" namest=\"c2\"\u003e \u003cp\u003eZero-order reaction\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colspan=\"3\" nameend=\"c7\" namest=\"c5\"\u003e \u003cp\u003eOne-order reaction\u003c/p\u003e \u003c/th\u003e \u003c/tr\u003e \u003ctr\u003e \u003cth align=\"left\" colname=\"c2\"\u003e \u003cp\u003eregression equation\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c3\"\u003e \u003cp\u003eReaction rate constant\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c4\"\u003e \u003cp\u003eCorrelation coefficient\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c5\"\u003e \u003cp\u003eregression equation\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c6\"\u003e \u003cp\u003eReaction rate constant\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c7\"\u003e \u003cp\u003eCorrelation coefficient\u003c/p\u003e \u003c/th\u003e \u003c/tr\u003e \u003c/thead\u003e \u003ctbody\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;53.5885\u0026minus;1.0236X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e1.0236\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.9286\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;529115.8490/(1\u0026thinsp;+\u0026thinsp;EXP(9.1620\u0026thinsp;+\u0026thinsp;0.027482X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.027482\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9746\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH2\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;59.7146\u0026minus;1.2589X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e1.2589\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.9386\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;45397.7406/(1\u0026thinsp;+\u0026thinsp;EXP(6.5941\u0026thinsp;+\u0026thinsp;0.031166X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.031166\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9737\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH3\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;55.0959\u0026minus;1.0616X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e1.0616\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.9810\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;72.8628/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;1.1024\u0026thinsp;+\u0026thinsp;0.062426X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.062426\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9855\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH4\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;40.1549\u0026minus;0.416704X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.416704\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.8833\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;44.4078/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;2.1000\u0026thinsp;+\u0026thinsp;0.056549X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.056549\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9037\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH5\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;61.1113\u0026minus;1.3310X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e1.3310\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.8953\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;135.6821/(1\u0026thinsp;+\u0026thinsp;EXP(0.158561\u0026thinsp;+\u0026thinsp;0.047863X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.047863\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9115\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH6\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;55.2497\u0026minus;1.0439X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e1.0439\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.8557\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;60188.3627/(1\u0026thinsp;+\u0026thinsp;EXP(6.9555\u0026thinsp;+\u0026thinsp;0.027312X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.027312\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9044\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH7\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;48.8088\u0026minus;0.898248X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.898248\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.8282\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;474666.5720/(1\u0026thinsp;+\u0026thinsp;EXP(9.1442\u0026thinsp;+\u0026thinsp;0.026595X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.026595\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.8833\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH8\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;39.5776\u0026minus;0.337551X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.337551\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.8496\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;42.2099/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;2.4937\u0026thinsp;+\u0026thinsp;0.059221X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.059221\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.8781\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH9\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;41.9110\u0026minus;0.553822X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.553822\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.8916\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;38988.4215/(1\u0026thinsp;+\u0026thinsp;EXP(6.8196\u0026thinsp;+\u0026thinsp;0.016680X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.016680\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.914\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH10\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;62.6289\u0026minus;1.4503X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e1.2419\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.9249\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;134.6140/(1\u0026thinsp;+\u0026thinsp;EXP(0.088131\u0026thinsp;+\u0026thinsp;0.053171X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.107880\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9685\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH11\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;64.3055\u0026minus;1.2419X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e1.4503\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.8482\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;66.1189/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;2.6277\u0026thinsp;+\u0026thinsp;0.107880X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.053171\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.8689\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH12\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;48.1829\u0026minus;0.616155X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.616155\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.8447\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;54330.2959/(1\u0026thinsp;+\u0026thinsp;EXP(7.0087\u0026thinsp;+\u0026thinsp;0.016392X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.016392\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.8868\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH13\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;46.5055\u0026minus;0.677012X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.677012\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.9548\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;13749.5348/(1\u0026thinsp;+\u0026thinsp;EXP(5.6713\u0026thinsp;+\u0026thinsp;0.018571X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.018571\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9656\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH14\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;49.5684\u0026minus;0.863020X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.863020\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.8889\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;2631.4967/(1\u0026thinsp;+\u0026thinsp;EXP(3.9301\u0026thinsp;+\u0026thinsp;0.023881X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.023881\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9076\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH15\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;47.1535\u0026minus;0.609021X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.609021\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.9857\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;56.7154/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;1.5218\u0026thinsp;+\u0026thinsp;0.051210X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.051210\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9899\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH16\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;43.6986\u0026minus;0.533570X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.533570\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.9664\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;2786.0899/(1\u0026thinsp;+\u0026thinsp;EXP(4.1306\u0026thinsp;+\u0026thinsp;0.014971X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.014971\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9682\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH17\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;54.9882\u0026minus;1.0007X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e1.0007\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.9436\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;630.6366/(1\u0026thinsp;+\u0026thinsp;EXP(2.3259\u0026thinsp;+\u0026thinsp;0.026455X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.026455\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9515\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH18\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;46.6184\u0026minus;0.619063X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.619063\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.9323\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;64.3036/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;0.950981\u0026thinsp;+\u0026thinsp;0.040834X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.040834\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9348\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH19\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;34.2568\u0026minus;0.290852X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.290852\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.6709\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;13499.4987/(1\u0026thinsp;+\u0026thinsp;EXP(5.9649\u0026thinsp;+\u0026thinsp;0.010089X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.010089\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.7002\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eH20\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;51.6928\u0026minus;0.791803X1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.791803\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.9180\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003eX2\u0026thinsp;=\u0026thinsp;92.1464/(1\u0026thinsp;+\u0026thinsp;EXP(\u0026minus;0.252515\u0026thinsp;+\u0026thinsp;0.035599X1))\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e \u003cp\u003e0.035599\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c7\"\u003e \u003cp\u003e0.9206\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003c/tbody\u003e \u003c/colgroup\u003e \u003ctfoot\u003e \u003ctr\u003e\u003ctd colspan=\"7\"\u003eNote : X1 in the table is the number of days of tomato storage ; x2 is the predicted value of tomato vitamin C.\u003c/td\u003e\u003c/tr\u003e \u003c/tfoot\u003e \u003c/table\u003e\u003c/div\u003e \u003c/p\u003e \u003c/div\u003e \u003cdiv id=\"Sec14\" class=\"Section2\"\u003e \u003ch2\u003e3.5.The correlation of each index under different water and fertilizer treatment\u003c/h2\u003e \u003cp\u003e \u003cdiv class=\"BlockQuote\"\u003e \u003cp\u003eAs shown in Fig.\u0026nbsp;\u003cspan refid=\"Fig4\" class=\"InternalRef\"\u003e4\u003c/span\u003e, hardness was significantly correlated with soluble sugar (R\u003csup\u003e2\u003c/sup\u003e\u0026thinsp;=\u0026thinsp;0.71, P\u0026thinsp;\u0026lt;\u0026thinsp;0.01). The hardness was significantly correlated with lycopene content (R\u003csup\u003e2\u003c/sup\u003e\u0026thinsp;=\u0026thinsp;0.61, P\u0026thinsp;\u0026lt;\u0026thinsp;0.01). Hardness was significantly correlated with vitamin C (R\u003csup\u003e2\u003c/sup\u003e\u0026thinsp;=\u0026thinsp;0.70, P\u0026thinsp;\u0026lt;\u0026thinsp;0.01). Soluble sugar was significantly correlated with lycopene level (R\u003csup\u003e2\u003c/sup\u003e\u0026thinsp;=\u0026thinsp;0.47, P\u0026thinsp;\u0026lt;\u0026thinsp;0.01). Soluble sugar was significantly correlated with vitamin C (R\u003csup\u003e2\u003c/sup\u003e\u0026thinsp;=\u0026thinsp;0.67, P\u0026thinsp;\u0026lt;\u0026thinsp;0.01). A specific correlation existed between different indices.\u003c/p\u003e \u003c/div\u003e \u003c/p\u003e \u003cp\u003e \u003c/p\u003e \u003c/div\u003e \u003cdiv id=\"Sec15\" class=\"Section2\"\u003e \u003ch2\u003e3.6.Comprehensive evaluation of tomato storage quality under different water and fertilizer treatments\u003c/h2\u003e \u003cp\u003e \u003cdiv class=\"BlockQuote\"\u003e \u003cp\u003eTo evaluate the quality of tomato fruit under storage, multiple indicators should be analyzed together for a comprehensive analysis of TQI. The quality indices of tomato fruit under storage were positively correlated with TQI (Figure.6-A), and the quality indices of tomato fruit were effectively determined. The TQI of fruits with the same maturity and different storage time under different water and fertilizer treatments was analysed (Figure.6-B). The TQI of H17 was the highest on day zero of storage, with a value of 2.89, followed by H13, with a value of 2.87; H10 had the highest TQI value of 2.64 after 7 days of storage, followed by H13 with a value of 2.4. The TQI of H17 stored for 14 days was the highest at 3.24, followed by H13 at 3.13. When H18 was stored for 21 days, the TQI was the highest, which was 2.65, followed by H20, which was 2.64. The TQI of H8 was the highest after 28 days of storage, with a value of 3.16, followed by H12, with a value of 3.08. The TQI values of H13 maturing at the same time under different storage periods were higher than 2.0, and the total TQI value under this water and fertilizer treatment was the highest, which was 12.58.\u003c/p\u003e \u003c/div\u003e"},{"header":"4. Discussion","content":"\u003cp\u003e \u003cdiv class=\"BlockQuote\"\u003e \u003cp\u003eWater and fertilizer coupling plays an important role in fruit quality and storability, and it is also an important factor contributing to the sustainable development of vegetable facilities in southern Xinjiang. Huang,Y\u003csup\u003e[\u003cspan citationid=\"CR14\" class=\"CitationRef\"\u003e14\u003c/span\u003e]\u003c/sup\u003ereported that the effects of fertilization and irrigation on tomato quality indicators reached a highly significant level, and the role of irrigation was greater than that of fertilizer. The water-to fertilizer ratios in this study also had similar effects. Hao S et al.\u003csup\u003e[\u003cspan citationid=\"CR15\" class=\"CitationRef\"\u003e15\u003c/span\u003e]\u003c/sup\u003eshowed that excessive irrigation water reduced the quality of tomato fruit. This study established a reasonable ratio of water to fertilizer to increase the quality of tomatoes. Excessive or restricted water supply and fertilizer application may reduce the quality content. Chen Liang \u003csup\u003e[\u003cspan citationid=\"CR16\" class=\"CitationRef\"\u003e16\u003c/span\u003e]\u003c/sup\u003efound that the combination of yellow sand substrate together with water and fertilizer can accurately control the supply of water and fertilizer and improve the efficiency of crop water and fertilizer utilization. In this study, we also used yellow sand in southern Xinjiang as a cultivation matrix to obtain a better utilization rate of water and fertilizer, without affecting the fruit quality.\u003c/p\u003e \u003c/div\u003e \u003c/p\u003e \u003cdiv id=\"Sec17\" class=\"Section2\"\u003e \u003ch2\u003e4.1Effects of water and fertilizer coupling on tomato storage hardness\u003c/h2\u003e \u003cp\u003e \u003cdiv class=\"BlockQuote\"\u003e \u003cp\u003eFruit firmness is an important index of fruit texture, reflecting fruit storability and storage effect\u003csup\u003e[\u003cspan citationid=\"CR17\" class=\"CitationRef\"\u003e17\u003c/span\u003e]\u003c/sup\u003e. The hardness of tomato decreases with the increase in nitrogen, phosphorus, and potassium fertilizer content. Application of large amounts of fertilizer increases the tomato fruit size and decreases its hardness, as shown by De Ketelaere B et al.\u003csup\u003e[\u003cspan citationid=\"CR18\" class=\"CitationRef\"\u003e18\u003c/span\u003e]\u003c/sup\u003e. Brummell D.A et al. \u003csup\u003e[\u003cspan citationid=\"CR19\" class=\"CitationRef\"\u003e19\u003c/span\u003e]\u003c/sup\u003e reported that the hardness of tomato will decrease with the extension of storage time. The results of this study were consistent, because some of the lyases in tomato fruit lysed with the prolongation of storage time, resulting in a decrease in hardness.\u003c/p\u003e \u003c/div\u003e \u003c/p\u003e \u003c/div\u003e \u003cdiv id=\"Sec18\" class=\"Section2\"\u003e \u003ch2\u003e4.2 Effects of water and fertilizer coupling on tomato storage soluble sugar\u003c/h2\u003e \u003cp\u003e \u003cdiv class=\"BlockQuote\"\u003e \u003cp\u003eSoluble sugar determines the quality of tomatoes basically and is a key factor in determining fruit storage quality and consumer recognition\u003csup\u003e[\u003cspan citationid=\"CR20\" class=\"CitationRef\"\u003e20\u003c/span\u003e]\u003c/sup\u003e. In the presence of moderate levels of other factors, the effect of irrigation on soluble sugar content of tomatoes under storage was not significant, while Shang Z H\u003csup\u003e[\u003cspan citationid=\"CR21\" class=\"CitationRef\"\u003e21\u003c/span\u003e]\u003c/sup\u003e, showed that appropriate water stress facilitated the accumulation of soluble sugars as storage reduces the activity of enzymes. Under the experimental conditions reported here, in the presence of other factors in the medium, an appropriate amount of nitrogen fertilizer increased the content of soluble sugar in stored tomatoes, which is consistent with the study of Huang W\u003csup\u003e[\u003cspan citationid=\"CR22\" class=\"CitationRef\"\u003e22\u003c/span\u003e]\u003c/sup\u003e. Kangli Wei et al.\u003csup\u003e[\u003cspan citationid=\"CR23\" class=\"CitationRef\"\u003e23\u003c/span\u003e]\u003c/sup\u003e reported that the soluble sugar content increased first and then decreased with the increase in phosphorus application due to complex phosphorus metabolism in the soil, which affected the distribution of nutrients. This study shows that the application of phosphate fertilizer can promote the synthesis of soluble sugar content, which is consistent with the results of Black Soldier et al\u003csup\u003e[\u003cspan citationid=\"CR24\" class=\"CitationRef\"\u003e24\u003c/span\u003e]\u003c/sup\u003e.\u003c/p\u003e \u003c/div\u003e \u003c/p\u003e \u003c/div\u003e \u003cdiv id=\"Sec19\" class=\"Section2\"\u003e \u003ch2\u003e4.3 Effects of water and fertilizer coupling on lycopene content of tomato under storage\u003c/h2\u003e \u003cp\u003e \u003cdiv class=\"BlockQuote\"\u003e \u003cp\u003eLycopene is the main pigment of mature tomato\u003csup\u003e[\u003cspan citationid=\"CR25\" class=\"CitationRef\"\u003e25\u003c/span\u003e]\u003c/sup\u003e. It is a strong antioxidant occurring in nature. It is an oxygen-free carotenoid. It not only has a very high health care value, but also is one of the important indicators of quality changes during storage. This study found that the lycopene content increased first and then decreased during storage. This is consistent with the study of JAVANMARDI JKUBOTA C\u003csup\u003e[\u003cspan citationid=\"CR26\" class=\"CitationRef\"\u003e26\u003c/span\u003e]\u003c/sup\u003e. The content of lycopene increased to a stable level before 14 days of storage. Increased irrigation as well as application of nitrogen, phosphorus, and potassium did not increase the content of lycopene. Combined treatment with water and fertilizer in appropriate ratio determines the amount of water during storage. The lycopene content was affected the largest, and was consistent with the results reported by Hui Luo\u003csup\u003e[\u003cspan citationid=\"CR27\" class=\"CitationRef\"\u003e27\u003c/span\u003e]\u003c/sup\u003e. Meiramkulova, K et al.\u003csup\u003e[\u003cspan citationid=\"CR28\" class=\"CitationRef\"\u003e28\u003c/span\u003e]\u003c/sup\u003e reported that light and temperature had a major effect on lycopene content, which increased with increased red and yellow light irradiation time. Therefore, varying temperatures during storage and exposure to light during growth are closely related to lycopene content, suggesting the need for further investigation.\u003c/p\u003e \u003c/div\u003e \u003c/p\u003e \u003c/div\u003e \u003cdiv id=\"Sec20\" class=\"Section2\"\u003e \u003ch2\u003e4.4 Effects of water and fertilizer coupling on vitamin C content of tomatoes under storage\u003c/h2\u003e \u003cp\u003e \u003cdiv class=\"BlockQuote\"\u003e \u003cp\u003eFruits and vegetables are one of the important sources of vitamin C, which is also an important indicator of tomato product quality\u003csup\u003e[\u003cspan citationid=\"CR29\" class=\"CitationRef\"\u003e29\u003c/span\u003e]\u003c/sup\u003e. This experiment showed a positive correlation between vitamin C content and irrigation amount during storage, which was consistent with Zushi K 's study\u003csup\u003e[\u003cspan citationid=\"CR30\" class=\"CitationRef\"\u003e30\u003c/span\u003e]\u003c/sup\u003e. This study showed that with the increased application of nitrogen, phosphorus, and potassium, vitamin C showed a inverted parabolic change similar to the results of previous studies\u003csup\u003e[\u003cspan citationid=\"CR31\" class=\"CitationRef\"\u003e31\u003c/span\u003e]\u003c/sup\u003e. The study also found that the vitamin C content decreased rapidly during the storage period, and decreased sharply from day 7 to day 14, which was consistent with the study of Veringa D\u003csup\u003e[\u003cspan citationid=\"CR32\" class=\"CitationRef\"\u003e32\u003c/span\u003e]\u003c/sup\u003e.\u003c/p\u003e \u003c/div\u003e \u003c/p\u003e \u003c/div\u003e \u003cdiv id=\"Sec21\" class=\"Section2\"\u003e \u003ch2\u003e4.5 Effects of water and fertilizer coupling on comprehensive quality of tomato storage index\u003c/h2\u003e \u003cp\u003e \u003cdiv class=\"BlockQuote\"\u003e \u003cp\u003eBy integrating indicators related to tomato quality such as hardness, soluble sugar, lycopene and VC, TQI can be used to comprehensively evaluate the quality of tomato fruit after storage under different water and fertilizer treatments. In this experiment, H13-treated tomatoes showed better comprehensive quality during extended storage.\u003c/p\u003e \u003c/div\u003e \u003c/p\u003e \u003c/div\u003e"},{"header":"5. Conclusions","content":"\u003cp\u003e \u003cdiv class=\"BlockQuote\"\u003e \u003cp\u003eBy integrating indicators related to tomato quality such as hardness, soluble sugar, lycopene and VC, TQI can comprehensively evaluate the quality preservation of tomato fruits after storage under different water and fertilizer treatments. In this experiment, in order to better preserve the fruit quality during storage, and conduct a comprehensive analysis and comparison, it was concluded that the irrigation amount of 602mm/hm\u003csup\u003e2\u003c/sup\u003e\u0026thinsp;+\u0026thinsp;nitrogen application rate of 570kg/hm\u003csup\u003e2\u003c/sup\u003e\u0026thinsp;+\u0026thinsp;phosphorus application rate of 70kg/hm\u003csup\u003e2\u003c/sup\u003e\u0026thinsp;+\u0026thinsp;potassium application rate of 738kg/hm\u003csup\u003e2\u003c/sup\u003e treatment of tomato in the extension of storage process at the same time to obtain the best comprehensive quality.\u003c/p\u003e \u003c/div\u003e \u003c/p\u003e"},{"header":"Declarations","content":" \u003cp\u003eThis study was conducted in accordance with ethical guidelines and approved by the relevant institutional review board. All participants were informed about the purpose, procedures, and potential risks of the study. No conflict of interest exits in the submission of this manuscript, and manuscript is approved by all authors for publication. I would like to declare on behalf of my co-authors that the work described was original research that has not been published previously, and not under consideration for publication elsewhere, in whole or in part. All the authors listed have approved the manuscript that is enclosed.\u003c/p\u003e \u003ch2\u003eFunding:\u003c/h2\u003e \u003cp\u003eThis research was financially supported by theXPCC Financial Science and Technology Plan Project (2023AB071); theTianshan Talent Training Program (2023TSYCCY0002);the Key core agricultural technology research and development projects of the XPCC ( NYHXGG2023AA311), the First Division Alra City Financial Science and Technology Plan Project (2024NY04).\u003c/p\u003e\u003ch2\u003eAuthor Contribution\u003c/h2\u003e\u003cp\u003eAuthor Contributions: Resources, Y.W. Y.S.;data curation,Y.Y. T.H.;writing\u0026mdash;original draft preparation, S.L. M.X. Z.T.;writing\u0026mdash;review and editing, Z.T;visualization, Y.C.; supervision,L.Y;project administration,Y.W. T.H. All authors have read and agreed to the published version of the manuscript.\u003c/p\u003e\u003ch2\u003eAcknowledgements:\u003c/h2\u003e \u003cp\u003eThe authors thank Zhanming Tan from Tarim University for thesis supervision. The authors are grateful to the anonymous reviewers for their comments.\u003c/p\u003e\u003ch2\u003eData availability statement :\u003c/h2\u003e \u003cp\u003eThe data presented in this study are available on request from the corresponding author.\u003c/p\u003e"},{"header":"References","content":"\u003col\u003e\u003cli\u003e\u003cspan\u003eJamir A. Khawlhring, Chhungpuii. Effects of Different Post-harvest Treatments on Physico-Chemical Attributes and Shelf Life of Tomato Fruits. 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Notulae Botanicae Horti Agrobotanici Cluj-Napoca; 2023. pp. 13027\u0026ndash;13027. 1.\u003c/span\u003e\u003c/li\u003e\u003c/ol\u003e"}],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":true,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":false,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":false,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"Tomatoes, Coupling of water and fertilizer, Cold storage, Dynamic equation, Storage quality","lastPublishedDoi":"10.21203/rs.3.rs-4963860/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4963860/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eIn order to make full use of the yellow sand resources in Xinjiang, China, under the mixed substrate cultivation mode with the volume ratio of yellow sand to slag of 5:3, in order to improve the yield and storage quality of tomato, provide optimized water and fertilizer management scheme, and explore the dynamic changes of water and fertilizer coupling on the quality of Tomato during storage, a dynamic model of tomato fruit quality under 4 ℃ storage was established.The tomato variety 'Qinshulingyue' was used as the experimental material. Irrigation amount, nitrogen application amount, phosphorus application amount, and potassium application amount were considered as factors, and a half of the four-element quadratic general rotary combination design (20 treatments) was employed. The tomato fruits were stored at 4\u0026deg;C for 28 days, with samples collected every 7 days to assess the quality of the fruits and analyze the effect of water and fertilizer coupling on tomato storage quality. Pearson correlation analysis and a combined evaluation method were used to comprehensively evaluate the indicators, and a response model was constructed to establish the relationship between the comprehensive score of tomatoes and the four factor levels.The results indicated that the reasonable ratio of water and fertilizer could enhance the quality of tomatoes, while excessive or inadequate water and fertilizer parameters could reduce the fruit quality. The changes in tomato hardness, soluble sugar, lycopene, and vitamin C content during storage were consistent with the first-order kinetic equation. Through a comprehensive analysis of tomato quality index (TQI), an irrigation amount of 602 mm/hm\u003csup\u003e2\u003c/sup\u003e, nitrogen application rate of 570 kg/hm\u003csup\u003e2\u003c/sup\u003e, phosphorus application rate of 70 kg/hm\u003csup\u003e2\u003c/sup\u003e, and potassium application rate of 738 kg/hm\u003csup\u003e2\u003c/sup\u003e under water and fertilizer coupling could effectively improve the fruit quality of stored tomatoes, and the equation fitting degree and storage resistance were also satisfactory.\u003c/p\u003e","manuscriptTitle":"Study on the kinetics of tomato storage quality under water and fertilizer coupling","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2024-10-03 15:16:06","doi":"10.21203/rs.3.rs-4963860/v1","editorialEvents":[{"type":"communityComments","content":0}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true}}],"origin":"","ownerIdentity":"65bbe4d9-ff20-4718-8212-4adeb1c08456","owner":[],"postedDate":"October 3rd, 2024","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[],"tags":[],"updatedAt":"2024-11-25T10:53:59+00:00","versionOfRecord":[],"versionCreatedAt":"2024-10-03 15:16:06","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-4963860","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-4963860","identity":"rs-4963860","version":["v1"]},"buildId":"qtupq5eGEP_6zYnWcrvyt","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}

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