action
functional gametes
drift
fecundity
equilibrium
advantages
articles
alleles
changes
mass action
distorters
derivatives
population dynamics
argument
generalized fecundity function
https://scigraph.springernature.com/explorer/license/
A model of segregation distortion is assumed in which the action of the distorter when heterozygous is to render dysfunctional those gametes that carry its allele. Two gamete killers when homozygous are assumed to distort each other. Individuals that carry the gamete killer suffer a reduction in the number of functional gametes they produce, but this deleterious effect is counterbalanced by the segregation ratio advantage of the distorter. The dynamics of such a system are analyzed in terms of a generalized fecundity function, which is defined as a function which assigns to any individual his relative fecundity in terms of the fraction of functional gametes he produces. Three general classes of fecundity functions are considered: (a) proportionality, in which the relative fecundity of an individual is proportional to the fraction of functional gametes he produces, (b) compensation, in which the relative fecundity of an individual is always greater than the fraction of functional gametes he produces, and (c) mass action, in which the relative fecundity of an individual is less than or greater than the fraction of functional gametes he produces according to whether the fraction of functional gametes is less than or greater than some threshold. In case (a) all gamete killers are always at neutral equilibria and gene frequency changes at the locus are governed by random drift. In case (b) all gamete killers will be fixed if the fecundity function is such that its second derivative is negative, whenever its argument is greater than one-half. And in case (c) some gamete killers will converge to stable equilibria, others will be fixed. If a gamete killer is homozygous lethal it will almost always converge to a stable equilibrium.
terms
https://doi.org/10.1007/bf00277948
effect
frequency changes
compensation
proportionality
false
sperm
individuals
81-88
system
gene frequency changes
function
stable equilibrium
segregation ratio advantage
one-half
model
cases
class
en
loci
1972-01-01
distortion
threshold
fecundity function
general class
article
ratio advantage
reduction
fraction
deleterious effects
gametes
killer
2022-01-01T18:00
number
random drift
relative fecundity
dynamics
Population dynamics of sperm and pollen killers
second derivative
neutral equilibrium
pollen killer
gamete killers
segregation distortion
1972-01
Genetics
doi
10.1007/bf00277948
Daniel L.
Hartl
0040-5752
Springer Nature
Theoretical and Applied Genetics
1432-2242
Department of Genetics and Cell Biology, University of Minnesota, Saint Paul, Minnesota, USA
Department of Genetics and Cell Biology, University of Minnesota, Saint Paul, Minnesota, USA
Biological Sciences
Springer Nature - SN SciGraph project
pubmed_id
24430773
2
pub.1078842629
dimensions_id
42