Author:
Cannings C.,Thompson E. A.,Skolnick M. H.
Abstract
The calculation of probabilities on pedigrees of arbitrary complexity is discussed for a basic model of transmission and penetrance (encompassing Mendelian inheritance, and certain environmental influences).The structure of pedigrees, and the types of loops occurring, is discussed. Some results in graph theory are obtained and, using these, a recurrence relation derived for certain probabilities. The recursive procedure enables the successive peeling off of certain members of the pedigree, and the condensation of the information on those individuals into a function on a subset of those remaining. The underlying theory is set out, and examples given of the utilization of the resulting algorithm.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,Statistics and Probability
Reference24 articles.
1. A General Model for the Genetic Analysis of Pedigree Data
2. Thompson E. A. , Cannings C. and Skolnick M. H. Ancestral inference I. The problem and the method. To appear.
3. Cultural versus biological inheritance. Phenotypic transmission from parents to children (a theory of the effect of parental phenotypes on children's phenotypes);Cavalli-Sforza;Amer. J. Hum. Genet.,1973
4. Thompson E. A. Ancestral inference II. The founders of Tristan da Cunha. To appear.
Cited by
331 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献