Open AccessModels for the gametic diversity producible by an individual
Author(s) -
SIRKKOMAA SAMPO
Publication year - 1984
Publication title -
hereditas
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.819
H-Index - 50
eISSN - 1601-5223
pISSN - 0018-0661
DOI - 10.1111/j.1601-5223.1984.tb00119.x
Subject(s) - chiasma , bivalent (engine) , biology , poisson distribution , genetics , statistics , mathematics , meiosis , gene , chemistry , organic chemistry , metal
S irkkomaa , S. 1984. Models for the gametic diversity producible by an individual.— Hereditas. 100 : 193–198. Lund, Sweden. ISSN 0018–0061. Received June 13, 1983 The gametic diversity producible by an individual was estimated by using three models for the number and the distribution of crossing‐over points in a bivalent: one model based on the Poisson distribution, and two models based on the conditional Maxwell‐Boltzmann or Bose‐Einstein statistics given a truncated Poisson distribution for the number of chiasmata. In considering a bivalent with 100–10000 heterozygous loci, the probabilities of recombinant chromatids were about 0.05. 0.63. 0.92 and 0.99 for the chiasma expectations 0.1, 2.0, 5.0 and 10.0, respectively. The highest chromatidal entropies generated by a bivalent with 10000 heterozygous loci were about 15.7. 34.5 and 63.0 bits for the chiasma expectations 2.0, 5.0 and 10.0, respectively. In the case of 100 loci the corresponding entropies were about 9.0, 17.5 and 28.5 bits. In the chiasma expectation range 0–10, 1.0–28.5%, 0.1–4.6% and 0.0–0.6 % of the maximum entropy were attained for 100, 1000 and 10000 heterozygous loci, respectively.