Survival of Mutant Genes as a Branching Process

An introduction to probability theory and its applications

1958 • 31,109 citations

The genetical theory of natural selection

1930 • 17,330 citations

EVOLUTION IN MENDELIAN POPULATIONS

1931 • 8,698 citations

The Theory of Branching Processes

1965 • 2,582 citations

The Theory of Branching Processes

1963 • 1,932 citations

A Mathematical Theory of Natural and Artificial Selection, Part V: Selection and Mutation

1927 • 1,336 citations

ON THE PROBABILITY OF FIXATION OF MUTANT GENES IN A POPULATION

1962 • 1,195 citations

The statistical processes of evolutionary theory.

1962 • 818 citations

The Statistical Processes of Evolutionary Theory.

1963 • 663 citations

XXI.—On the Dominance Ratio

1923 • 525 citations

THE MEASUREMENT OF EFFECTIVE POPULATION NUMBER

1963 • 417 citations

An Introduction to Stochastic Processes with Special Reference to Methods and Applications.

1961 • 337 citations

STOCHASTIC PROCESSES AND DISTRIBUTION OF GENE FREQUENCIES UNDER NATURAL SELECTION

1955 • 275 citations

The Measurement of Effective Population Number

1963 • 175 citations

On the Use of the Direct Matrix Product in Analyzing Certain Stochastic Population Models

1977 • 142 citations

On the use of the direct matrix product in analysing certain stochastic population models

1966 • 138 citations

On Age-Dependent Binary Branching Processes

1952 • 123 citations

An Introduction to Stochastic Processes with Special Reference to Methods and Applications.

1967 • 89 citations

DIRECT PRODUCT BRANCHING PROCESSES AND RELATED MARKOV CHAINS

1964 • 80 citations

XVII.—The Distribution of Gene Ratios for Rare Mutations

1931 • 78 citations

FREQUENCY CHANGES OF NEW INVERSIONS IN POPULATIONS UNDER MUTATION-SELECTION EQUILIBRIA

1967 • 75 citations

RATES AND PROBABILITIES OF FIXATION FOR TWO LOCUS RANDOM MATING FINITE POPULATIONS WITHOUT SELECTION

1968 • 71 citations

Rates of Approach to Homozygosity for Finite Stochastic Models with Variable Population Size

1968 • 68 citations

Survival of Mutant Genes

1962 • 58 citations

The Genetic Effects of Family Structure in Natural Populations.

1959 • 56 citations

SURVIVAL PROCESS OF LINKED MUTANT GENES

1967 • 54 citations

THE EQUILIBRIUM BETWEEN MUTATION AND RANDOM EXTINCTION

1939 • 51 citations

The survival of a mutant gene under selection

1959 • 49 citations

Markov Chains with Absorbing States: A Genetic Example

1961 • 38 citations

The survival of a mutant gene under selection. II

1960 • 27 citations

Survival Probabilities of New Inversions in Large Populations

1968 • 26 citations

Survival probabilities f new inversions in large populations.

1968 • 24 citations

The probability distribution of gene-differences in relation to selection, mutation, and random extinction

1949 • 23 citations

Survival Process of Linked Mutant Genes

1967 • 22 citations

Some Statistical Problems Arising in Genetics

1949 • 19 citations

ACCUMULATION OF EPISTATIC GENE COMPLEXES

1964 • 16 citations

The survival of a mutant under general conditions

1961 • 16 citations

An Introduction to Probability Theory and Its Applications, Volume I

1958 • 16 citations

A Mendelian Markov process with binomial transition probabilities

1966 • 15 citations

Some effects of fluctuating offspring distributions on the survival of a gene

1966 • 13 citations

THE PROBABILITY OF FIXATION OF A MUTANT: THE TWO-LOCUS CASE

1967 • 12 citations

A Mendelian Markov process with binomial transition probabilities.

1966 • 12 citations

The Multi-Type Galton-Watson Process in a Genetical Context

1968 • 8 citations

Accumulation of Epistatic Gene Complexes

1964 • 8 citations

Branching processes in stochastic environments

1967 • 8 citations