%0 Journal Article %1 bennett1954distribution %A Bennett, J. H. %D 1954 %I Blackwell Publishing for the Royal Statistical Society %J Journal of the Royal Statistical Society. Series B (Methodological) %K heterozygosity inbreeding recombination %N 1 %P pp. 88-99 %T The Distribution of Heterogeneity Upon Inbreeding %U http://www.jstor.org/stable/2984012 %V 16 %X In this paper, it is shown how the variance of the map length of the germ plasm, heterogeneous after a given amount of inbreeding, can be calculated. Matrix methods are used in the evaluation of the variance for several systems of inbreeding after a large number of generations. The frequency distribution of the map length heterogeneous after many generations is developed in terms of the modified Bessel function of the first kind, the probability of complete homogeneity being represented by a condensation at the origin. A comparison of these distributions for sib and parent-offspring matings, two inbreeding systems which in general give the same speed of approach to homogeneity at a single genetic locus, reveals interesting differences in the probability statements that can be made in these two cases.

@article{bennett1954distribution, abstract = {In this paper, it is shown how the variance of the map length of the germ plasm, heterogeneous after a given amount of inbreeding, can be calculated. Matrix methods are used in the evaluation of the variance for several systems of inbreeding after a large number of generations. The frequency distribution of the map length heterogeneous after many generations is developed in terms of the modified Bessel function of the first kind, the probability of complete homogeneity being represented by a condensation at the origin. A comparison of these distributions for sib and parent-offspring matings, two inbreeding systems which in general give the same speed of approach to homogeneity at a single genetic locus, reveals interesting differences in the probability statements that can be made in these two cases.}, added-at = {2012-04-11T18:06:14.000+0200}, author = {Bennett, J. H.}, biburl = {https://www.bibsonomy.org/bibtex/2e4f4356a1253360f4096065a927a9439/peter.ralph}, interhash = {f9277aa54ca9df5c33aa6585683b1431}, intrahash = {e4f4356a1253360f4096065a927a9439}, issn = {00359246}, journal = {Journal of the Royal Statistical Society. Series B (Methodological)}, keywords = {heterozygosity inbreeding recombination}, language = {English}, number = 1, pages = {pp. 88-99}, publisher = {Blackwell Publishing for the Royal Statistical Society}, timestamp = {2012-04-11T18:06:14.000+0200}, title = {The Distribution of Heterogeneity Upon Inbreeding}, url = {http://www.jstor.org/stable/2984012}, volume = 16, year = 1954 }