TY - JOUR

T1 - On the survival probability of a slightly advantageous mutant gene in a multitype population

T2 - A multidimensional branching process model

AU - Eshel, I.

PY - 1984/4

Y1 - 1984/4

N2 - The estimated survival probability of a slightly supercritical Galton-Watson process is generalized to a multitype branching process. The result is used to estimate the probability of initial success of a mutant gene whose effect on the individual carrier depends on the carrier's sex, class, etc. The probability of initial success is also estimated in a case where the effect of the mutation is manifested in terms of the distribution of types within one's progeny, e.g. in a case of a change in the sex ratio.

AB - The estimated survival probability of a slightly supercritical Galton-Watson process is generalized to a multitype branching process. The result is used to estimate the probability of initial success of a mutant gene whose effect on the individual carrier depends on the carrier's sex, class, etc. The probability of initial success is also estimated in a case where the effect of the mutation is manifested in terms of the distribution of types within one's progeny, e.g. in a case of a change in the sex ratio.

KW - Galton Watson process

KW - advantageous mutation

KW - branching process

KW - extinction

KW - mutation

UR - http://www.scopus.com/inward/record.url?scp=0021173678&partnerID=8YFLogxK

U2 - 10.1007/BF00277746

DO - 10.1007/BF00277746

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AN - SCOPUS:0021173678

SN - 0303-6812

VL - 19

SP - 201

EP - 209

JO - Journal of Mathematical Biology

JF - Journal of Mathematical Biology

IS - 2

ER -