TY - JOUR
TI - ESTIMATION OF EFFECTIVE POPULATION-SIZE FROM DATA ON LINKAGE DISEQUILIBRIUM
AU - HILL, WG
T2 - GENETICS RESEARCH
AB - SUMMARY A method is proposed for estimating effective population size ( N ) from data on linkage disequilibrium among neutral genes at several polymorphic loci or restriction sites. The efficiency of the method increases with larger sample size and more tightly linked genes; but for very tightly linked genes estimates of N are more dependent on long-term than on recent population history. Two sets of data are analysed as examples.
DA - 1981///
PY - 1981///
DO - 10.1017/S0016672300020553
VL - 38
IS - 3
SP - 209-216
SN - 1469-5073
ER -
TY - JOUR
TI - ANALYSIS OF NON-TRADITIONAL RELATIONSHIPS UNDER ASSORTATIVE MATING
AU - GIMELFARB, A
T2 - JOURNAL OF MATHEMATICAL BIOLOGY
AB - The set of conditions on the genetical and developmental mechanisms of quantitative characters as well as on selection and mating system presented in (Gimelfarb, 1981) is expanded, thus enabling one to obtain the genotypic covariances between relatives for a larger variety of relationships. It is also demonstrated that the frequency of a relationship in a population under assortative mating may in general be different from the frequency of this relationship in the population under random mating. A subpopulation of relatives is not necessarily a representative sample of the whole population with respect to the quantitative character distribution. However, for any relationship which is a combination of descendant-ancestor, full sib, Type 1 and Nth uncle-niece relationships, its frequency in a population under assortative mating is the same as in the population under random mating, and the subpopulation of such relatives is a representative sample of the whole population.
DA - 1981///
PY - 1981///
DO - 10.1007/BF00275216
VL - 13
IS - 2
SP - 227-240
SN - 0303-6812
ER -
TY - JOUR
TI - A GENERAL LINEAR-MODEL FOR THE GENOTYPIC COVARIANCE BETWEEN RELATIVES UNDER ASSORTATIVE MATING
AU - GIMELFARB, A
T2 - JOURNAL OF MATHEMATICAL BIOLOGY
AB - A linear model for the genotypic covariance between relatives under assortative mating comprising the “classical linear model” and the model of “selective assortative mating” is proposed. The general conditions on the genetical and developmental mechanisms of quantitative characters, as well as on selection and the mating system, on which the model is based, are explicitly stated and discussed. A classification of different relationships is presented and it is shown that these conditions are sufficient to obtain the genotypic covariance between relatives only if the relationship is a combination of descendant-ancestor, full sib, Type 1 and Nth uncle-niece relationships. All the “traditional” relationships, i.e., those for which the covariances of the relatives have been obtained in the literature, fall into this category. These conditions also ensure that the regression of the individual's genotypic value on the genotypic value or phenotype of any of its ancestors is always linear.
DA - 1981///
PY - 1981///
DO - 10.1007/BF00275215
VL - 13
IS - 2
SP - 209-226
SN - 1432-1416
ER -
TY - JOUR
TI - LIKELIHOOD RATIO STATISTICS FOR AUTOREGRESSIVE TIME-SERIES WITH A UNIT-ROOT
AU - DICKEY, DA
AU - FULLER, WA
T2 - ECONOMETRICA
DA - 1981///
PY - 1981///
DO - 10.2307/1912517
VL - 49
IS - 4
SP - 1057-1072
SN - 1468-0262
ER -