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    Species Diversity and Distribution in Presence‐Absence Matrices: Mathematical Relationships and Biological Implications

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    Issue Date
    2008-10-01
    Author
    Arita, Héctor T.
    Christen, J. Andrés
    Rodríguez, Pilar
    Soberón, Jorge
    Publisher
    University of Chicago Press
    Type
    Article
    Article Version
    Scholarly/refereed, publisher version
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    Abstract
    The diversity of sites and the distribution of species are fundamental pieces in the analysis of biogeographic and macroecological questions. A link between these two variables is the correlation between the species diversity of sites and the mean range size of species occurring there. Alternatively, one could correlate the range sizes of species and the mean species diversity within those ranges. Here we show that both approaches are mirror images of the same patterns, reflecting fundamental mathematical and biological relationships. We develop a theory and analyze data for North American mammals to interpret range‐diversity plots in which the species diversity of sites and the geographic range of species can be depicted simultaneously. We show that such plots contain much more information than traditional correlative approaches do, and we demonstrate that the positions of points in the plots are determined to a large extent by the average, minimum, and maximum values of range and diversity but that the dispersion of points depends on the association among species and the similitude among sites. These generalizations can be applied to biogeographic studies of diversity and distribution and in the identification of hotspots of diversity and endemism.
    URI
    http://hdl.handle.net/1808/17988
    DOI
    https://doi.org/10.1086/590954
    Collections
    • Ecology and Evolutionary Biology Scholarly Works [1403]
    Citation
    Arita, Héctor T.; Christen, J. Andrés; Rodríguez, Pilar; Soberón, Jorge. (2008). "Species Diversity and Distribution in Presence‐Absence Matrices: Mathematical Relationships and Biological Implications." American Naturalist, 172(4):519-532. http://www.dx.doi.org/10.1086/590954.

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    Lawrence, KS 66045
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    Contact KU ScholarWorks
    785-864-8983
    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    785-864-8983

    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    Image Credits
     

     

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