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The size-distribution of Earth's lakes.


ABSTRACT: Globally, there are millions of small lakes, but a small number of large lakes. Most key ecosystem patterns and processes scale with lake size, thus this asymmetry between area and abundance is a fundamental constraint on broad-scale patterns in lake ecology. Nonetheless, descriptions of lake size-distributions are scarce and empirical distributions are rarely evaluated relative to theoretical predictions. Here we develop expectations for Earth's lake area-distribution based on percolation theory and evaluate these expectations with data from a global lake census. Lake surface areas ?0.46?km(2) are power-law distributed with a tail exponent (??=?2.14) and fractal dimension (d?=?1.4), similar to theoretical expectations (??=?2.05; d?=?4/3). Lakes <0.46?km(2) are not power-law distributed. An independently developed regional lake census exhibits a similar transition and consistency with theoretical predictions. Small lakes deviate from the power-law distribution because smaller lakes are more susceptible to dynamical change and topographic behavior at sub-kilometer scales is not self-similar. Our results provide a robust characterization and theoretical explanation for the lake size-abundance relationship, and form a fundamental basis for understanding and predicting patterns in lake ecology at broad scales.

SUBMITTER: Cael BB 

PROVIDER: S-EPMC4937396 | biostudies-literature | 2016 Jul

REPOSITORIES: biostudies-literature

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The size-distribution of Earth's lakes.

Cael B B BB   Seekell D A DA  

Scientific reports 20160708


Globally, there are millions of small lakes, but a small number of large lakes. Most key ecosystem patterns and processes scale with lake size, thus this asymmetry between area and abundance is a fundamental constraint on broad-scale patterns in lake ecology. Nonetheless, descriptions of lake size-distributions are scarce and empirical distributions are rarely evaluated relative to theoretical predictions. Here we develop expectations for Earth's lake area-distribution based on percolation theor  ...[more]

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