Multiple Linear Regression Modeling in Determining the Contribution of Landshape Factors on the Quantitative Attributes and Diversity of Trees

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Abstract Introduction : Mountainous forests are a major part of the northwestern forests of Iran that are tasked to protect biodiversity. Therefore, mountainous conditions create diversity in landforms. Multiple linear regression models are used to create ‎the relationships between different attributes of the forest stands and various landforms to assess other characteristics ‎indirectly‎. In protective forests, the basal area and species diversity are the main attributes that are considered significant factors in forest planning and management. The main objective of current study was to understand the association of basal area and tree species diversity index with DBH, tree height, canopy cover, and landform indices in a natural mixed-species protected forest in northwest of Iran and develop estimation equations by using a multiple linear regression model. Methods The data collection from direct measurements of the stand to obtain the basic data (tree characteristics used to estimate the volume, basal area, etc.) was the systematic random method in various topographic conditions with diverse slopes and aspects located in Arasbaran forest, in the east Azarbayjan province of northwest Iran. After the data collection, in the second stage of the study, the dependent (basal area and diversity index) and independent (forest attributes and landform indices) variables were determined and the relationship between the factors was evaluated with the help of the multiple linear regression statistical method. Results The results of multiple linear regression showed that the Shannon diversity index was influenced by tree height, tree average crown diameter, AspE, TRASP, and SEI land shape indices. Cohen's f2 effect size of factors was 0.252, which is in the medium effect size range. In addition, we found that the basal area of trees was influenced by tree dbh, crown area, AspE, and SEI land shape indices. Cohen's f2 effect size was in the strong effect size category (0.323). In general, the multiple linear regression model results in the present study showed that the independent variables had a significant effect on dependent variables and these effects were at an acceptable level in the most cases. Discussion Our study highlights that modifications in basal area and diversity were corrected with landform indices which can be used as a base for organizing forest management plans including basal area increasing in protects forests with low commercial volume objects.
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Multiple Linear Regression Modeling in Determining the Contribution of Landshape Factors on the Quantitative Attributes and Diversity of Trees | 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 Multiple Linear Regression Modeling in Determining the Contribution of Landshape Factors on the Quantitative Attributes and Diversity of Trees Roya Abedi This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-5007190/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 Introduction : Mountainous forests are a major part of the northwestern forests of Iran that are tasked to protect biodiversity. Therefore, mountainous conditions create diversity in landforms. Multiple linear regression models are used to create ‎the relationships between different attributes of the forest stands and various landforms to assess other characteristics ‎indirectly‎. In protective forests, the basal area and species diversity are the main attributes that are considered significant factors in forest planning and management. The main objective of current study was to understand the association of basal area and tree species diversity index with DBH, tree height, canopy cover, and landform indices in a natural mixed-species protected forest in northwest of Iran and develop estimation equations by using a multiple linear regression model. Methods The data collection from direct measurements of the stand to obtain the basic data (tree characteristics used to estimate the volume, basal area, etc.) was the systematic random method in various topographic conditions with diverse slopes and aspects located in Arasbaran forest, in the east Azarbayjan province of northwest Iran. After the data collection, in the second stage of the study, the dependent (basal area and diversity index) and independent (forest attributes and landform indices) variables were determined and the relationship between the factors was evaluated with the help of the multiple linear regression statistical method. Results The results of multiple linear regression showed that the Shannon diversity index was influenced by tree height, tree average crown diameter, AspE, TRASP, and SEI land shape indices. Cohen's f 2 effect size of factors was 0.252, which is in the medium effect size range. In addition, we found that the basal area of trees was influenced by tree dbh, crown area, AspE, and SEI land shape indices. Cohen's f 2 effect size was in the strong effect size category (0.323). In general, the multiple linear regression model results in the present study showed that the independent variables had a significant effect on dependent variables and these effects were at an acceptable level in the most cases. Discussion Our study highlights that modifications in basal area and diversity were corrected with landform indices which can be used as a base for organizing forest management plans including basal area increasing in protects forests with low commercial volume objects. Aspect Multi-parameters Northwestern Iran Regression modeling Slope Topographic exposure Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. 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-5007190","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":357782352,"identity":"bfb6fe49-0147-4f03-a241-706ba3112681","order_by":0,"name":"Roya Abedi","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA+UlEQVRIiWNgGAWjYLACxgYGxjb2BgZmBgYJqJABMVp4DpOqpUEiGaSFCGDe3mP44ecOG9k+yfcHPxfusbA3OMD88ANDwT2cWmTOnDGW7D2TZtwmncwsPeOZBLPBATZjCQaDYpxaJCRyDCR42w4nArUwSPMckGAzOMBgBvRLAj4txj//tv1PbJM8zPwbqIXH4AD7N0JazKR52w4ktkkws4FskTA4wEPAFp5jZdayZ5KN23iSzaxnHJAwkDzMUyyRgE8Le/Pmm2932MnObz/4+HbBgTp7vuPtGz98+INbCwMDB3qsgWIHnwYGBvYHeKVHwSgYBaNgFDAAAKheS4RQw+9jAAAAAElFTkSuQmCC","orcid":"","institution":"University of Tabriz","correspondingAuthor":true,"prefix":"","firstName":"Roya","middleName":"","lastName":"Abedi","suffix":""}],"badges":[],"createdAt":"2024-08-31 05:56:31","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-5007190/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-5007190/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":75061616,"identity":"e9aa8e68-fef9-405e-87f6-da6d12d029d0","added_by":"auto","created_at":"2025-01-30 04:23:47","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":543585,"visible":true,"origin":"","legend":"","description":"","filename":"Manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-5007190/v1_covered_175b204d-2dd6-47e2-aee7-9de2e51469b7.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Multiple Linear Regression Modeling in Determining the Contribution of Landshape Factors on the Quantitative Attributes and Diversity of Trees","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"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":"Aspect, Multi-parameters, Northwestern Iran, Regression modeling, Slope, Topographic exposure","lastPublishedDoi":"10.21203/rs.3.rs-5007190/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-5007190/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003ch2\u003eIntroduction\u003c/h2\u003e \u003cp\u003e: Mountainous forests are a major part of the northwestern forests of Iran that are tasked to protect biodiversity. Therefore, mountainous conditions create diversity in landforms. Multiple linear regression models are used to create \u0026lrm;the relationships between different attributes of the forest stands and various landforms to assess other characteristics \u0026lrm;indirectly\u0026lrm;. In protective forests, the basal area and species diversity are the main attributes that are considered significant factors in forest planning and management. 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