Kürşad Özkan, Serkan Özdemir, Bart Muys, Salih Doğan
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Hanski (1978) later introduced an alternative weighting factor <math> <mfenced><mmultiscripts><mi>δ</mi> <mrow><mi>j</mi></mrow> <mrow><mrow></mrow> <mo>∗</mo></mrow> </mmultiscripts> </mfenced> </math> , which accounts for both the quality and quantity of resource states in niche calculations. However, metrics based on <math><msub><mi>d</mi> <mi>j</mi></msub> </math> , <math><msub><mi>δ</mi> <mi>j</mi></msub> </math> and <math><mmultiscripts><mi>δ</mi> <mrow><mi>j</mi></mrow> <mrow><mrow></mrow> <mo>∗</mo></mrow> </mmultiscripts> </math> have inherent mathematical and conceptual limitations. To overcome these issues, the present study introduces modified forms of these factors ( <math><mrow><mi>e</mi> <msub><mi>d</mi> <mi>j</mi></msub> </mrow> </math> , <math><mrow><mi>e</mi> <msub><mi>δ</mi> <mi>j</mi></msub> </mrow> </math> and <math><mrow><mi>e</mi> <mmultiscripts><mi>δ</mi> <mrow><mi>j</mi></mrow> <mrow><mrow></mrow> <mo>∗</mo></mrow> </mmultiscripts> </mrow> </math> ) and evaluates their performance using eight hypothetical and one empirical (ecological) resource matrix. The findings indicate that niche metrics incorporating the <math><mrow><mi>e</mi> <msub><mi>d</mi> <mi>j</mi></msub> </mrow> </math> factor represent the most coherent and biologically meaningful option.</p>","PeriodicalId":9372,"journal":{"name":"Bulletin of Mathematical Biology","volume":"88 7","pages":""},"PeriodicalIF":2.3000,"publicationDate":"2026-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC13263204/pdf/","citationCount":"0","resultStr":"{\"title\":\"Refining Niche Metric Calculations: A Modified Weighting Approach to Colwell and Futuyma's Method.\",\"authors\":\"Kürşad Özkan, Serkan Özdemir, Bart Muys, Salih Doğan\",\"doi\":\"10.1007/s11538-026-01672-w\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p><p>The niche concept is central to ecology, evolution, and conservation biology. To assess resource dynamics in biological communities, the most widely used niche metrics are niche breadth and niche overlap. Colwell and Futuyma (1971) were the first to propose niche metrics that incorporated resource distinctness. In their framework, niche breadth and overlap are calculated using either a relative weighting factor <math> <mfenced><msub><mi>d</mi> <mi>j</mi></msub> </mfenced> </math> or an absolute weighting factor <math> <mfenced><msub><mi>δ</mi> <mi>j</mi></msub> </mfenced> </math> . Hanski (1978) later introduced an alternative weighting factor <math> <mfenced><mmultiscripts><mi>δ</mi> <mrow><mi>j</mi></mrow> <mrow><mrow></mrow> <mo>∗</mo></mrow> </mmultiscripts> </mfenced> </math> , which accounts for both the quality and quantity of resource states in niche calculations. 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引用次数: 0
摘要
生态位的概念是生态学、进化论和保护生物学的核心。为了评价生物群落资源动态,最常用的生态位指标是生态位宽度和生态位重叠。Colwell和Futuyma(1971)首先提出了包含资源独特性的利基指标。在其框架中,生态位宽度和重叠使用相对加权因子d j或绝对加权因子δ j来计算。Hanski(1978)后来引入了另一种加权因子δ j *,它在生态位计算中考虑了资源状态的质量和数量。然而,基于d j, δ j和δ j *的度量具有固有的数学和概念限制。为了克服这些问题,本研究引入了这些因素(e d j, e δ j和e δ j *)的修正形式,并使用八个假设和一个经验(生态)资源矩阵来评估它们的绩效。研究结果表明,包含edj因子的生态位指标代表了最连贯和最有生物学意义的选择。
Refining Niche Metric Calculations: A Modified Weighting Approach to Colwell and Futuyma's Method.
The niche concept is central to ecology, evolution, and conservation biology. To assess resource dynamics in biological communities, the most widely used niche metrics are niche breadth and niche overlap. Colwell and Futuyma (1971) were the first to propose niche metrics that incorporated resource distinctness. In their framework, niche breadth and overlap are calculated using either a relative weighting factor or an absolute weighting factor . Hanski (1978) later introduced an alternative weighting factor , which accounts for both the quality and quantity of resource states in niche calculations. However, metrics based on , and have inherent mathematical and conceptual limitations. To overcome these issues, the present study introduces modified forms of these factors ( , and ) and evaluates their performance using eight hypothetical and one empirical (ecological) resource matrix. The findings indicate that niche metrics incorporating the factor represent the most coherent and biologically meaningful option.
期刊介绍:
The Bulletin of Mathematical Biology, the official journal of the Society for Mathematical Biology, disseminates original research findings and other information relevant to the interface of biology and the mathematical sciences. Contributions should have relevance to both fields. In order to accommodate the broad scope of new developments, the journal accepts a variety of contributions, including:
Original research articles focused on new biological insights gained with the help of tools from the mathematical sciences or new mathematical tools and methods with demonstrated applicability to biological investigations
Research in mathematical biology education
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