The IBD process along four chromosomes

Theor Popul Biol. 2008 May;73(3):369-73. doi: 10.1016/j.tpb.2007.11.011. Epub 2007 Dec 31.


In this note, we present the continuous-time Markov rate matrix that models identity by descent (ibd) patterns among four chromosomes in a population. The equilibrium distribution of this Markov process along a chromosome is the set of 4-gene state probabilities given by the Ewens sampling formula. This model will facilitate inference of identity by descent among the four chromosomes of a pair of individuals, using data at dense SNP loci among which there may be linkage disequilibrium.

Publication types

  • Research Support, N.I.H., Extramural

MeSH terms

  • Chromosomes*
  • Genome, Human
  • Heredity*
  • Humans
  • Linkage Disequilibrium
  • Markov Chains
  • Models, Genetic
  • Polymorphism, Single Nucleotide