A Stochastic Model for Reproductive Isolation Under Asymmetrical Mating Preferences.

Abstract:

:More and more evidence shows that mating preference is a mechanism that may lead to a reproductive isolation event. In this paper, a haploid population living on two patches linked by migration is considered. Individuals are ecologically and demographically neutral on the space and differ only on a trait, a or A, affecting both mating success and migration rate. The special feature of this paper is to assume that the strengths of the mating preference and the migration depend on the trait carried. Indeed, patterns of mating preferences are generally asymmetrical between the subspecies of a population. I prove that mating preference interacting with frequency-dependent migration behavior can lead to a reproductive isolation. Then, I describe the time before reproductive isolation occurs. To reach this result, I use an original method to study the limiting dynamical system, analyzing first the system without migration and adding migration with a perturbation method. Finally, I study how the time before reproductive isolation is influenced by the parameters of migration and of mating preferences, highlighting that large migration rates tend to favor types with weak mating preferences.

journal_name

Bull Math Biol

authors

Leman H

doi

10.1007/s11538-018-0479-2

subject

Has Abstract

pub_date

2018-09-01 00:00:00

pages

2502-2525

issue

9

eissn

0092-8240

issn

1522-9602

pii

10.1007/s11538-018-0479-2

journal_volume

80

pub_type

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