**DESCRIPTION OF COURSES**

**AS 665 ADVANCED STATISTICAL METHODS FOR POPULATION GENETICS (2L+1P) II**

**Objective**

This is an advanced course in Statistical Genetics that aims at describing some advanced level topics for students who wish to pursue research in Statistical Genetics. This course prepares students for undertaking research in this area. This also helps prepare students for applications of this important subject in plant and animal breeding.

**Theory**

UNIT I

Hardy-Weinberg law with multiple allelic systems, auto-tetraploids and self-sterility alleles. Complex cases of selection with two or more loci.

UNIT II

Different approaches to study inbreeding process, methods of path co-efficient, probability and generation matrix. Fisher’s approach to inbreeding. Stochastic process of gene frequency change, transition matrix approach using finite Markov chains, diffusion approximation. Steady decay and distribution of gene frequency. Probability of fixation of a gene. Conditional process - Markov chains and diffusion approaches. Distribution of time until fixation, random fluctuations in selection intensity, stationary distribution of gene frequency. Effective population size.

**Practicals**

Exercises on Multiple allelism, Auto-tetraploid, Self sterility, Diffusion approach to inbreeding coefficient, Generation matrix approach to inbreeding.

**Suggested Readings**

- Crow, J.F. and Kimura, M. 1970.
*An Introduction of Population Genetics Theory*. Harper and Row. - Jain, J. P. and Prabhakaran, V.T. 1994.
*Population Genetics*. South Asian Publishers Pvt. Ltd. - Kempthorne, O. 1957.
*An Introduction to Genetic Statistics*. The Iowa State University Press. - Li, C.C. 1982
*. Population Genetics*. The University of Chicago Press. - Narain, P. 1990.
*Statistical Genetics*. Wiley Eastern Ltd.