Observations on related ecological exponents.

Proceedings of the National Academy of Sciences of the United States of America
T Richard E SouthwoodGeorge Sugihara

Abstract

We observe a relationship among three independently derived power laws in ecology: (i) total number of species versus area, (ii) species frequency versus species length, and (iii) maximal body size versus area. Aside from showing how these historically disparate phenomena are connected, we show how recent empirical results relating the maximal body size of top terrestrial vertebrates to the square root of land area conform to a prior theoretical expectation given by two of the above power laws. Of particular interest is the observation that the exponent relating species length to species frequency suggests a dimension for niche space for terrestrial vertebrate assemblages of D approximately 3/2. This value, along with power law for maximal body size, versus area, gives rise to the canonical species area exponent z approximately 1/4.

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Citations

May 30, 2008·Proceedings of the National Academy of Sciences of the United States of America·Jizhong ZhouCharles T Garten
Oct 4, 2008·Proceedings of the National Academy of Sciences of the United States of America·François GuilhaumonDavid Mouillot
Apr 11, 2009·Proceedings of the National Academy of Sciences of the United States of America·Sandro AzaeleIgnacio Rodriguez-Iturbe
May 26, 2012·Proceedings. Biological Sciences·Russell E NaisbitLouis-Félix Bersier
Mar 15, 2013·Proceedings of the National Academy of Sciences of the United States of America·Andrea GiomettoAndrea Rinaldo
Apr 10, 2007·Journal of Theoretical Biology·Jordi BascompteLucas Lacasa
Sep 13, 2008·Ecology Letters·James C Stegen, Ethan P White
Mar 16, 2007·Physical Review Letters·Jayanth R BanavarAndrea Rinaldo
Oct 5, 2017·Proceedings of the National Academy of Sciences of the United States of America·Pablo A Marquet
Aug 24, 2017·Proceedings of the National Academy of Sciences of the United States of America·Silvia ZaoliAndrea Rinaldo

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