Coagulation–Fragmentation Model for Animal Group-Size Statistics
نویسندگان
چکیده
منابع مشابه
Coagulation-Fragmentation Model for Animal Group-Size Statistics
We study coagulation-fragmentation equations inspired by a simple model proposed in fisheries science to explain data for the size distribution of schools of pelagic fish. Although the equations lack detailed balance and admit no H-theorem, we are able to develop a rather complete description of equilibrium profiles and large-time behavior, based on recent developments in complex function theor...
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Several empirical studies have shown that the animal group size distribution of many species can be well fit by power laws with exponential truncation. A striking empirical result due to Niwa is that the exponent in these power laws is one and the truncation is determined by the average group size experienced by an individual. This distribution is known as the logarithmic distribution. In this ...
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ژورنال
عنوان ژورنال: Journal of Nonlinear Science
سال: 2016
ISSN: 0938-8974,1432-1467
DOI: 10.1007/s00332-016-9336-3