Further considerations on the statistical mechanics of biological associations |
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Authors: | Edward H Kerner |
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Institution: | (1) Physics Department, University of Buffalo, Buffalo, USA;(2) Present address: Physics Department, Brookhaven National Laboratory, Upton, Long Island, New York |
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Abstract: | In this continuation of a previous report it is shown how the Volterra population dynamics, which underlies the statistical
theory, can be based on a variational principle; how the dynamics can be generalized as regards both the behavior of total
populations and migration phenomena; and how many directly observable data, such as amplitudes and frequencies of oscillation
of a population, fit into the statistical theory and can test it. Such a test is carried out in some detail using the fox-catch
data of Elton, with a clear indication that the theory is capable of comprehending the major statistical properties of population-time
curves. A final section sketches an extension of the theory to cover secular variations of external conditions such as temperature
of the environment. |
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Keywords: | |
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