TY  - BOOK
AU  - Kojima, Ken-ichi (ed)
TI  - Mathematical topics in population genetics. 
T2  - Biomathematics
PY  - 1970///
CY  - Newyork
PB  - Springer Verlag
KW  - Population genetics
N1  - Bibliographic Level Mode of Issuance: Monograph; Random Drift and the Shifting Balance Theory of Evolution
Changes in Mean Fitness under Natural Selection
Models and Analyses of Dispersal Patterns
Avoidance and Rate of Inbreeding
Genetic Loads and the Cost of Natural Selection
Stochastic Processes in Population Genetics, with Special Reference to Distribution of Gene Frequencies and Probability of Gene Fixation
Theory of Limits to Selection with Line Crossing
A Theory of Limits in Artificial Selection with Many Linked Loci
The Evolution of Dominance
Survival of Mutant Genes as a Branching Process
The Incomplete Binomial Distribution
Evolutionary Significance of Linkage and Epistasis
Fitness and Optimization
N2  - A basic method of analyzing particulate gene systems is the proba­ bilistic and statistical analyses. Mendel himself could not escape from an application of elementary probability analysis although he might have been unaware of this fact. Even Galtonian geneticists in the late 1800's and the early 1900's pursued problems of heredity by means of mathe­ matics and mathematical statistics. They failed to find the principles of heredity, but succeeded to establish an interdisciplinary area between mathematics and biology, which we call now Biometrics, Biometry, or Applied Statistics. A monumental work in the field of popUlation genetics was published by the late R. A. Fisher, who analyzed "the correlation among relatives" based on Mendelian gene theory (1918). This theoretical analysis over­ came "so-called blending inheritance" theory, and the orientation of Galtonian explanations for correlations among relatives for quantitative traits rapidly changed. We must not forget the experimental works of Johanson (1909) and Nilsson-Ehle (1909) which supported Mendelian gene theory. However, a large scale experiment for a test of segregation and linkage of Mendelian genes affecting quantitative traits was, prob­ ably for the first time, conducted by K. Mather and his associates and Panse in the 1940's
ER  -