An elementary proof of the fundamental theorem of natural selection in the case of two alleles
type: Item
instance of: scholarly article
title: An elementary proof of the fundamental theorem of natural selection in the case of two alleles
zbMATH Open document ID: 0801.92011
DOI: 10.1007/BF01189894
author: Helmut Länger
published in: Archiv der Mathematik
publication date: 1994-11-13T00:00:00Z
review text: Consider a population which is ideal up to selective influences, and consider a locus with two alleles and let \(p\) and \(p'\) denote the gene frequency vectors corresponding to two consecutive generations. An elementary proof is given for the fact that the mean fitness of the population strictly increases along the straight line from \(p\) to \(p'\).
reviewed by: Helmut Länger
Mathematics Subject Classification ID: 92D10
zbMATH DE Number: 687062
zbMATH Keywords: population genetics
zbMATH Keywords: selection model
zbMATH Keywords: fundamental theorem of natural selection
zbMATH Keywords: mean fitness
zbMATH Keywords: strict monotonicity
zbMATH Keywords: gene frequency vectors
MaRDI profile type: Publication
cites work: Q3856478
cites work: ON AN INEQUALITY IN PARTIAL AVERAGES
cites work: On an inequality arising from population genetics
cites work: Q4189095
full work available at URL: https://doi.org/10.1007/bf01189894
OpenAlex ID: W2093425437
description: scientific article; zbMATH DE number 687062