Evolution of sexual preferences in quantitative characters
type: Item
instance of: scholarly article
title: Evolution of sexual preferences in quantitative characters
zbMATH Open document ID: 0728.92014
DOI: 10.1016/0040-5809(90)90017-P
author: Samuel Karlin
author: John K. Raper
published in: Theoretical Population Biology
publication date: 1990-01-01T00:00:00Z
review text: It is studied how a metric character and sexual preferences for that character evolve on the base of Fisher's ``runaway process'' [\textit{R. A. Fisher}, The genetical theory of natural selection (1958)]. The phenotypic trait in the male and female is described by a 2-vector x, where the first coordinate \(x_ 1\) gives the character value and the second coordinate \(x_ 2\) the preference value. Analogously, y denotes the female trait vector. It is assumed that the viabilities of males and females as well as the probability for a male of type x and a female of type y to mate depend only on \(x_ 1\) and \(y_ 2\). Furthermore, the phenotypic values of offspring are assumed to be given by the midparental values plus a random perturbation. Given the viabilities of males and females as well as the conditional probability for a male and a female to mate, the dynamics of the covariance matrix and the mean of the zygotic distribution of phenotypes are studied. A comprehensive discussion of the results (including comparisons to other runaway models) concludes the paper.
Mathematics Subject Classification ID: 92D15
zbMATH DE Number: 4204175
zbMATH Keywords: viability
zbMATH Keywords: Fisher's runaway process
zbMATH Keywords: female mating preference
zbMATH Keywords: quantitative male secondary sexual character
zbMATH Keywords: sexual selection
zbMATH Keywords: Gaussian distribution of phenotypes
zbMATH Keywords: genetic covariance evolution
zbMATH Keywords: metric character
zbMATH Keywords: sexual preferences
zbMATH Keywords: zygotic distribution of phenotypes
zbMATH Keywords: runaway models
MaRDI profile type: Publication
Wikidata QID: Q46598387
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cites work: Models of multifactorial inheritance: IV. Asymmetric transmission for a scalar phenotype
cites work: A New Technique to Design Circularly Polarized Microstrip Antenna by Fractal Defected Ground Structure
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full work available at URL: 0040-5809(90)90017-p
OpenAlex ID: W1979245040
description: scientific article; zbMATH DE number 4204175