Contribution to the linkage theory of autopolyploids: II

In the first part of this paper, hereinafter referred to as I, a general segregation, distribution was introduced for autopolyploids (2s-ploids) withm, loci, andr alleles. Random mating, chromosome segragation, distinct generations, and equal segregation distributions for males and females were assumed. In this second part, using this segregation distribution as a basis, a recurrence formula is established which enables us to compute the distribution of gametes for any generation, if this distribution is known for an initial generation. This initial distribution of gametes is derived from the initial distribution of genotypes. The limit behavior of these distributions is completely described in a general limit theorem which contains as particular cases the limit theorems for diploids withm loci, and for 2s-ploids with one locus (Geiringer, 1944, 1945, 1948).