The Dialectical Biologist by Richard Levins & Richard Lewontin

Author:Richard Levins & Richard Lewontin [Levins, Richard & Lewontin, Richard]
Language: eng
Format: epub, pdf
Publisher: Harvard University Press
Published: 1987-03-15T00:00:00+00:00

where p is a rate of capture and utilization of R, and θ is the death rate. (It is not relevant for this argument that real utilization may be nonlinear: if there is a saturation effect, we could replace R by R* = R/(K+ R) or some other function.) We do assume for convenience here that θ is constant, so changes in the system enter by way of R.

The particular equation describing the dynamics of R is surprisingly irrelevant to the results, which follow. We make use of the fact that the average value of a derivative over some time interval t is

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