Biomaterial Database

Exact inbreeding coefficient and effective size of finite populations under partial sib mating. 1995

J Wang

College of Animal Sciences, Zhejiang Agricultural University, Hangzhou, People's Republic of China.

An exact recurrence equation for inbreeding coefficient is derived for a partially sib-mated population of N individuals mated in N/2 pairs. From the equation, a formula for effective size (Ne) taking second order terms of 1/N into consideration is derived. When the family sizes are Poisson or equally distributed, the formula reduces to Ne = [(4 - 3 beta) N/(4 - 2 beta)] + 1 or Ne = [(4 - 3 beta) N/(2 - 2 beta)] - 8/(4 - 3 beta), approximately. For the special case of sib-mating exclusion and Poisson distribution of family size, the formula simplifies to Ne = N + 1, which differs from the previous results derived by many authors by a value of one. Stochastic simulations are run to check our results where disagreements with others are involved.

UI	MeSH Term	Description	Entries
D007178	Inbreeding	The mating of plants or non-human animals which are closely related genetically.	Backcrossing,Half-Sib Mating,Sib Mating,Genetic Inbreeding,Backcrossings,Genetic Inbreedings,Half Sib Mating,Half-Sib Matings,Inbreeding, Genetic,Mating, Half-Sib,Mating, Sib,Matings, Half-Sib,Matings, Sib,Sib Matings
D008297	Male		Males
D008957	Models, Genetic	Theoretical representations that simulate the behavior or activity of genetic processes or phenomena. They include the use of mathematical equations, computers, and other electronic equipment.	Genetic Models,Genetic Model,Model, Genetic
D009679	Nuclear Family	A family composed of spouses and their children.	Daughters,Sons,Daughter,Families, Nuclear,Family, Nuclear,Nuclear Families,Son
D005260	Female		Females
D005828	Genetics, Population	The discipline studying genetic composition of populations and effects of factors such as GENETIC SELECTION, population size, MUTATION, migration, and GENETIC DRIFT on the frequencies of various GENOTYPES and PHENOTYPES using a variety of GENETIC TECHNIQUES.	Population Genetics
D000818	Animals	Unicellular or multicellular, heterotrophic organisms, that have sensation and the power of voluntary movement. Under the older five kingdom paradigm, Animalia was one of the kingdoms. Under the modern three domain model, Animalia represents one of the many groups in the domain EUKARYOTA.	Animal,Metazoa,Animalia
D013269	Stochastic Processes	Processes that incorporate some element of randomness, used particularly to refer to a time series of random variables.	Process, Stochastic,Stochastic Process,Processes, Stochastic
D016012	Poisson Distribution	A distribution function used to describe the occurrence of rare events or to describe the sampling distribution of isolated counts in a continuum of time or space.	Distribution, Poisson