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・ Seed Herbarium Image Project
・ Seed library
・ Seed loading
・ Seed money
・ Seed nucleus
・ Seed of Chucky
・ Seed of Destruction
・ Seed of Hope
・ Seed of Memory
・ Seed of the serpent
・ Seed of the woman
・ Seed oil
・ Seed orchard
・ Seed paper
・ Seed predation
Seed production and gene diversity
・ Seed Productions
・ Seed Records
・ Seed Savers Exchange
・ Seed saving
・ Seed separator
・ Seed ship
・ Seed swap
・ Seed testing
・ Seed to Sun
・ Seed trap
・ Seed treatment
・ Seed tree
・ Seed&Spark
・ Seed-counting machine


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Seed production and gene diversity : ウィキペディア英語版
Seed production and gene diversity
Genetic diversity is often a major consideration in e g forest crops.
==Group coancestry of a population==
Consider the gene pool of a seed orchard crop or other source of seeds with parents. The gene pool is large as there are many seeds in a seed crop, so there is no genetic drift. The probability that the first gene originates from genotype i in the seed orchard is pi, and the probability that the second originates from genotype j is pj. The probability that these two genes originate from the orchard genotypes i and j are identical by descent (IBD) is θij. This is the Malecot's method of coancestry 〔Malécot G. ''Les mathématiques de l'hérédité.'' Paris: Masson & Cie, 1948.〕 (or "coefficient of kinship"; "coefficient of relationship" is a similar measure which can be computed) between genotype i and j. The probability that any pair of genes is IBD, Θ, can be found by adding over all possible pairs of genes from N parents. Formula for the group coancestry (from which gene diversity can be obtained) of seed orchard crops.〔Lindgren D. & Mullin T.J. 1998. Relatedness and status number in seed orchard crops. Canadian Journal of Forest Research 28: 276-283.〕
Θ= \sum_^N \sum_^N pipjθij.

The group coancestry of a seed orchard crop can be divided in two terms, one for self-coancestry and one for cross-coancestry.
Θ= \sum_^N pi2(1+Fi)/2 + \sum_^N \sum_^N pipjθij, the last summation excluding j=i.
Let’s consider a simple case. If the seed orchard genotypes are unrelated the second term is zero, if there is no inbreeding, the first term becomes simple. For no relatedness and no inbreeding, status number (NS, effective number of parents) becomes
NS = 1/ \sum_^N pi2
Similar but less developed expressions has been used many times before, it has similarities to the concept of effective population size as defined by.〔Robertson A (1961). Inbreeding in artificial selection programmes. Genet Res 2:189-194〕

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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