Claim · model-written summary
Under continued self-fertilization, the frequency of heterozygous pairs is approximately nx0/2^(n-1) when n is large.
- Taxon
- plantsViridiplantaee2
- Outcome
- frequency of heterozygous pairse1
- Value
- nx0/2n-1e1
- Qualifier
- when n is largee1
Not reportedMaterialGeneCompoundOrgan / stageInteractorInteractor roleSecond interactorSecond interactor roleTreatmentComparatorSettingDirection
Verbatim
e1“The frequency of heterozygous pairs at the nth generation, Hn=∫x00fn(ξ)dξ+(1-x0)2n/2n, is approximately1+2nx0/2n, when x0 is small, and will be approximate tonx0/2n-1, when n is large”
e2“the curves showing the decrease of heterozygosis for plants with m pairs of such chromosomes”
Title
Moto Kimura The Japanese Journal of Genetics 1951. doi:10.1266/jjg.26.53
Other claims from this paper (5)
- Observation Under continued self-fertilization, the frequency of heterozygous pairs at generation n is approximately 1+2nx0/2n when x0 is small.
- Observation With seven pairs of such chromosomes, the frequency of heterozygous plants is less than 3 in 10000.
- Observation The frequency of the heterozygous segment length Lh between x and x+dx is given as the solution of a recurrence equation over self-fertilized generations.
- Observation After sufficient generations, AA and A'A' pairs each have frequency 1/2e2-x0.
- Observation In recombined homozygotes, the frequency in which LA'x0 lies between t and t+dt is given by a Bessel-function distribution.