Unveiling the multifractal signatures of rainfall temporal organization: New insights into the complexity assessment of precipitation patterns over northeast Algeria

Unveiling the multifractal signatures of rainfall temporal organization: New insights into the complexity assessment of precipitation patterns over northeast Algeria | 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 Unveiling the multifractal signatures of rainfall temporal organization: New insights into the complexity assessment of precipitation patterns over northeast Algeria Mohamed Bachir TAOUTI, Mohamed CHETTIH This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-8469546/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 6 You are reading this latest preprint version Abstract In recent years, the analysis of rainfall temporal structure becomes a fundamental area of research for hydrologists seeking to understand hydro-climatic variability, especially in regions affected by the consequences of climate change. In this context, the present study provides a comprehensive analysis of the multifractal signatures behavior of temporal fluctuation in daily rainfall series measured in northeast Algeria through the Multi-Fractal Detrended Fluctuation Analysis (MF-DFA) method. The analysis of rainfall time series (1981–2019) across a wide range of time scales from 80 to 800 days shows the presence of a multiple scaling property that characterizes a significant multifractal behavior. The estimation of multifractal parameters leads to an average value of α 0 = 0.642 ± 0.041 for the central Hölder exponent, showing a persistence process reflecting long-term correlation dynamics. Furthermore, the distribution of multifractal spectrum width ( Δα ) values over a wide range (0.457 ≤ Δα ≤ 1.324) exhibits a significant heterogeneity in the multifractality degree between the studied stations. This research explores, in particular, the possible links between multifractal parameters and geo-climatic factors that explain their spatial variability. Correlation analysis with latitude, altitude, and annual rainfall shows that sub-humid coastal areas exhibits greater structural complexity in rainfall variability than semi-arid regions. These relationships suggest a new approach based on multifractal signatures as robust physical indicators for the regionalization of precipitation in northern Algeria. The results of this study demonstrate that multifractal analysis provides a solid framework for unveiling the complexity of rainfall dynamics, which provides useful information for better water resource management in the Mediterranean basin. Rainfall time series Multifractal analysis MF-DFA Long-term correlation Singularity spectrum Algeria Full Text Cite Share Download PDF Status: Under Review Version 1 posted Editorial decision: Minor revisions 22 Mar, 2026 Reviewers agreed at journal 07 Jan, 2026 Reviewers invited by journal 07 Jan, 2026 Editor invited by journal 02 Jan, 2026 Editor assigned by journal 29 Dec, 2025 First submitted to journal 28 Dec, 2025 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. 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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-8469546","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":570641181,"identity":"3d0b407c-56a3-4b5e-8d66-1cdefd3c81f3","order_by":0,"name":"Mohamed Bachir 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In this context, the present study provides a comprehensive analysis of the multifractal signatures behavior of temporal fluctuation in daily rainfall series measured in northeast Algeria through the \u003cem\u003eMulti-Fractal Detrended Fluctuation Analysis\u003c/em\u003e (MF-DFA) method.\u003c/p\u003e \u003cp\u003eThe analysis of rainfall time series (1981\u0026ndash;2019) across a wide range of time scales from 80 to 800 days shows the presence of a multiple scaling property that characterizes a significant multifractal behavior. The estimation of multifractal parameters leads to an average value of \u003cem\u003eα\u003c/em\u003e\u003csub\u003e\u003cem\u003e0\u003c/em\u003e\u003c/sub\u003e\u0026thinsp;=\u0026thinsp;0.642\u0026thinsp;\u0026plusmn;\u0026thinsp;0.041 for the central H\u0026ouml;lder exponent, showing a persistence process reflecting long-term correlation dynamics. Furthermore, the distribution of multifractal spectrum width (\u003cem\u003eΔα\u003c/em\u003e) values over a wide range (0.457\u0026thinsp;\u0026le;\u0026thinsp;\u003cem\u003eΔα\u003c/em\u003e\u0026thinsp;\u0026le;\u0026thinsp;1.324) exhibits a significant heterogeneity in the multifractality degree between the studied stations.\u003c/p\u003e \u003cp\u003eThis research explores, in particular, the possible links between multifractal parameters and geo-climatic factors that explain their spatial variability. Correlation analysis with latitude, altitude, and annual rainfall shows that sub-humid coastal areas exhibits greater structural complexity in rainfall variability than semi-arid regions. These relationships suggest a new approach based on multifractal signatures as robust physical indicators for the regionalization of precipitation in northern Algeria.\u003c/p\u003e \u003cp\u003eThe results of this study demonstrate that multifractal analysis provides a solid framework for unveiling the complexity of rainfall dynamics, which provides useful information for better water resource management in the Mediterranean basin.\u003c/p\u003e \u003cp\u003e \u003c/p\u003e","manuscriptTitle":"Unveiling the multifractal signatures of rainfall temporal organization: New insights into the complexity assessment of precipitation patterns over northeast Algeria","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2026-01-08 17:21:31","doi":"10.21203/rs.3.rs-8469546/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"decision","content":"Minor revisions","date":"2026-03-22T17:22:57+00:00","index":"","fulltext":""},{"type":"reviewerAgreed","content":"","date":"2026-01-07T08:46:15+00:00","index":0,"fulltext":""},{"type":"reviewersInvited","content":"","date":"2026-01-07T07:50:57+00:00","index":"","fulltext":""},{"type":"editorInvited","content":"Acta Geophysica","date":"2026-01-02T13:06:13+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2025-12-29T10:46:11+00:00","index":"","fulltext":""},{"type":"submitted","content":"Acta Geophysica","date":"2025-12-29T00:57:13+00:00","index":"","fulltext":""}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"acta-geophysica","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"agph","sideBox":"Learn more about [Acta Geophysica](http://link.springer.com/journal/11600)","snPcode":"11600","submissionUrl":"https://www.editorialmanager.com/agph/default2.aspx","title":"Acta Geophysica","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false}}],"origin":"","ownerIdentity":"6522785e-7b34-4bd7-b4b6-9375b10c08cc","owner":[],"postedDate":"January 8th, 2026","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"under-review","subjectAreas":[],"tags":[],"updatedAt":"2026-05-14T15:25:03+00:00","versionOfRecord":[],"versionCreatedAt":"2026-01-08 17:21:31","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-8469546","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-8469546","identity":"rs-8469546","version":["v1"]},"buildId":"XKTyCvWXoU3ODBz1xrDgd","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}