Quantitative approaches to evolutionary biology traditionally
consider evolutionary change in isolation from an important
pressure in natural selection: the demography of coevolving
populations. In "Analysis of Evolutionary Processes," Fabio Dercole
and Sergio Rinaldi have written the first comprehensive book on
Adaptive Dynamics (AD), a quantitative modeling approach that
explicitly links evolutionary changes to demographic ones. The book
shows how the so-called AD canonical equation can answer questions
of paramount interest in biology, engineering, and the social
sciences, especially economics.
After introducing the basics of evolutionary processes and
classifying available modeling approaches, Dercole and Rinaldi give
a detailed presentation of the derivation of the AD canonical
equation, an ordinary differential equation that focuses on
evolutionary processes driven by rare and small innovations. The
authors then look at important features of evolutionary dynamics as
viewed through the lens of AD. They present their discovery of the
first chaotic evolutionary attractor, which calls into question the
common view that coevolution produces exquisitely harmonious
adaptations between species. And, opening up potential new lines of
research by providing the first application of AD to economics,
they show how AD can explain the emergence of technological
variety.
"Analysis of Evolutionary Processes" will interest anyone
looking for a self-contained treatment of AD for self-study or
teaching, including graduate students and researchers in
mathematical and theoretical biology, applied mathematics, and
theoretical economics.
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