Some Applications of Mathematics to Breeding Problems.

INTRODUCTION .................................................................. 489 PART I. APPLICATIONS OF THE METHODS OF MATHEMATICAL INDUCTION AND REPE........................................................... 490 490 2. A special case of assortative mating.. ................................ 491 492 PART 11. GENERAL TERMS OF JENNINGS’S SERIES. 493 494 495 496 496 PART 111. BROTHER AND SISTER MATING.. ........................................ 496 2. Development of above results ........................................ 497 a. Development of the formulae for on, pn, qn, rn,Un, vfl ........... 497 b. Proportions of the three types of individuals in the lzth generation 500 c. Illustrative example 500 502 LITERATURE CITED 504 PAGE