Mathematics Colloquium
3:00 p.m., Friday
Math 100
Michael Doebeli
Departments of Zoology and Mathematics, UBC
Evolutionary branching and speciation
Understanding speciation, that is, the split of an ancestral
lineage into two or more descendant lineages, is a fundamental
challenge in evolutionary biology. Classical theories explain
speciation as a consequence of geographical isolation. However,
recent theories have emphasized that frequency-dependent
ecological interactions can induce a bimodal split in phenotype
distributions, and hence speciation, under sympatric conditions,
i.e. in the absence of geographical barriers. In this talk I
review some of these recent developments, which are based on the
phenomenon of evolutionary branching. Evolutionary branching is
a type of evolutionary dynamics that occurs when
frequency-dependent selection first drives a population toward
a fitness minimum in phenotype space and then splits the
population into two distinct phenotypic dusters. After briefly
reviewing the underlying theoretical framework of adaptive
dynamics and the basic mechanisms leading to evolutionary
branching in asexual populations, I will first show how
incorporation of multi-locus genetics and assortative mating
leads to a theory of evolutionary branching in sexual
populations, and hence to models for sympatric speciation.
Next I will illustrate that selection regimes leading to
evolutionary branching readily arise from a wide variety
of different ecological interactions within and between
species, including competition, predation, and mutualism.
I will end the talk by discussing some recent results about
evolutionary branching in spatially structured populations,
showing that spatially localized ecological interactions
enhance the drive towards diversification through evolutionary
branching and can lead to spatial segregation of the newly
emerging species.
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