On conditions for evolutionary stability for a continuously varying character

FB Christiansen - The American Naturalist, 1991 - journals.uchicago.edu
The two conditions for stability of an evolutionary equilibrium, the m-stability and the δ-
stability conditions, are discussed. The m-stability condition is a condition for the …

An analytically tractable model for competitive speciation

PS Pennings, M Kopp, G Meszéna… - The American …, 2008 - journals.uchicago.edu
Several recent models have shown that frequency-dependent disruptive selection created
by intraspecific competition can lead to the evolution of assortative mating and, thus, to …

Evolutionarily unstable fitness maxima and stable fitness minima of continuous traits

PA Abrams, H Matsuda, Y Harada - Evolutionary Ecology, 1993 - Springer
We present models of adaptive change in continuous traits for the following situations:(1)
adaptation of a single trait within a single population in which the fitness of a given individual …

Evolutionary stable strategies: a review of basic theory

WGS Hines - Theoretical Population Biology, 1987 - Elsevier
Widely successful in applied population biology, the Evolutionarily Stable Strategy concept
remains controversial because of the severe restrictions present in its original formulation …

Evolutionary stability in one-parameter models under weak selection

PD Taylor - Theoretical population biology, 1989 - Elsevier
A general notion of evolutionary stability is formulated in models in which the possible
behaviours are parameterized by a continuous variable, and selection is assumed to be …

Genetic equilibrium when more than one ecological niche is available

H Levene - The American Naturalist, 1953 - journals.uchicago.edu
In recent years the attention of experimental evolutionists has been increasingly directed
toward polymorphism as furnishing desirable plasticity to a species. In particular, attention …

On the relationship between quantitative genetic and ESS models

PA Abrams, Y Harada, H Matsuda - Evolution, 1993 - JSTOR
Two recent articles in this journal have dis-cussed the relationship between quantitative
genetic models and evolutionarily stable strategy (ESS) models of the evolution of …

Modelling the adaptive dynamics of traits involved in inter‐and intraspecific interactions: an assessment of three methods

Abrams - Ecology Letters, 2001 - Wiley Online Library
In recent years, three related methods have been used to model the phenotypic dynamics of
traits under the influence of natural selection. The first is based on an approximation to …

Initial increase of new mutants and some continuity properties of ESS in two-locus systems

I Eshel, MW Feldman - The American Naturalist, 1984 - journals.uchicago.edu
In a random mating, diploid population with viability determined by the genotype at two or
more linked loci, natural selection does not guarantee an increase in the average viability of …

Estimation of conservatism of characters by constancy within biological populations

JS Farris - Evolution, 1966 - JSTOR
servative characters. There is little doubt that if a character is constant throughout a group
that is natural in an evolutionary sense, then that character is a more reliable indicator of …