Defining fitness in evolutionary models |
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Authors: | Derek A Roff |
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Institution: | (1) Department of Biology, University of California, Riverside, CA 92521, USA |
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Abstract: | The analysis of evolutionary models requires an appropriate definition for fitness. In this paper, I review such definitions
in relation to the five major dimensions by which models may be described, namely (i) finite versus infinite (or very large)
population size, (ii) type of environment (constant, fixed length, temporally stochastic, temporally predictable, spatially
stochastic, spatially predictable and social environment), (iii) density-independent or density-dependent, (iv) inherent population
dynamics (equilibrium, cyclical and chaotic), and (v) frequency-dependent or independent. In simple models, the Malthusian
parameter ‘r’ or the net reproductive rate R
0 may be satisfactory, but once density-dependence or complex population dynamics is introduced the invasion exponent should
be used. Defining fitness in a social environment or when there is frequency-dependence requires special consideration. |
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Keywords: | fitness invasion exponent adaptive dynamics game theory Lyapunov exponent invasibility Malthusian parameter |
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