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Updated: Apr 25, 2026

Modeling the Size Spectrum for Macroinvertebrates and Fishes in Stream Ecosystems
Published on: July 30, 2019
Species distributions and area relationships
C J Thompson1, T E Lee2, M A McCarthy3
1Department of Mathematics and Statistics, University of Melbourne, VIC 3010, Australia.
Abstract:
The well-known species-area relationship is one of many scaling laws, or allometries, in ecology and biology that have received much attention over the years. We present a new derivation of this relationship based on Yule׳s theory of evolution of species. Using definitions of mutation rates, our analysis yields species-area exponents that are in close agreement with previously observed values.
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