%0 Journal Article %1 crow1988inbreeding %A Crow, J F %A Denniston, C %D 1988 %J Evolution %K effective_population_size population_genetics %N 3 %P 482-495 %R 10.1111/j.1558-5646.1988.tb04154.x %T Inbreeding and variance effective population numbers %U https://www.ncbi.nlm.nih.gov/pubmed/28564013 %V 42 %X In this paper, a correction and extension of earlier work, we derive expressions for the inbreeding effective number, NeI , and the variance effective number, NeV , with various models. Diploidy, random mating, and discrete generations are assumed and formulas for NeI are given for six situations: isogamous monoecious populations with self-fertilization permitted or excluded; monoecious populations, male and female gametes distinguished, with self-fertilization permitted or excluded; and separate sexes with or without male and female progeny distinguished. NeV is given for monoecious and separate-sexed populations. Most higher animals have separate sexes, and male and female progeny are distinguished. Letting the subscript t represent the generation in which the inbreeding effect is manifest, the inbreeding effective number is Formula: see text in which σsm,sf is the covariance of the number of male (m) and female (f) progeny of a parent of sex s (s = m or f), μsm and μsf are the mean numbers of sons and daughters of a parent of sex s, and Ns,t-2 is the number in the grandparental generation. For the variance effective number Formula: see text in which Formula: see text and σsm2 and σsf2 are the variances in the number of sons and daughters of a parent of sex s. Observations are made at the same age in each generation.

@article{crow1988inbreeding, abstract = {In this paper, a correction and extension of earlier work, we derive expressions for the inbreeding effective number, NeI , and the variance effective number, NeV , with various models. Diploidy, random mating, and discrete generations are assumed and formulas for NeI are given for six situations: isogamous monoecious populations with self-fertilization permitted or excluded; monoecious populations, male and female gametes distinguished, with self-fertilization permitted or excluded; and separate sexes with or without male and female progeny distinguished. NeV is given for monoecious and separate-sexed populations. Most higher animals have separate sexes, and male and female progeny are distinguished. Letting the subscript t represent the generation in which the inbreeding effect is manifest, the inbreeding effective number is [Formula: see text] in which σsm,sf is the covariance of the number of male (m) and female (f) progeny of a parent of sex s (s = m or f), μsm and μsf are the mean numbers of sons and daughters of a parent of sex s, and Ns,t-2 is the number in the grandparental generation. For the variance effective number [Formula: see text] in which [Formula: see text] and σsm2 and σsf2 are the variances in the number of sons and daughters of a parent of sex s. Observations are made at the same age in each generation.}, added-at = {2020-05-15T06:15:47.000+0200}, author = {Crow, J F and Denniston, C}, biburl = {https://www.bibsonomy.org/bibtex/2783dac4b2b44278b37450594b0f1a9e2/peter.ralph}, doi = {10.1111/j.1558-5646.1988.tb04154.x}, interhash = {5c41c0049a6da806e29ebc26cc783d49}, intrahash = {783dac4b2b44278b37450594b0f1a9e2}, journal = {Evolution}, keywords = {effective_population_size population_genetics}, month = may, number = 3, pages = {482-495}, pmid = {28564013}, timestamp = {2020-05-15T06:15:47.000+0200}, title = {Inbreeding and variance effective population numbers }, url = {https://www.ncbi.nlm.nih.gov/pubmed/28564013}, volume = 42, year = 1988 }