Genetics, Vol. 152, 755-761, June 1999, Copyright © 1999

Using Maximum Likelihood to Estimate Population Size From Temporal Changes in Allele Frequencies

Ellen G. Williamsona and Montgomery Slatkina
a Integrative Biology, University of California, Berkeley, California 94720-3141

Corresponding author: Ellen G. Williamson, University of California, Integrative Biology, 3060 VLSB, Berkeley, CA 94720-3141., ellenw{at}socrates.berkeley.edu (E-mail)

Communicating editor: G. A. CHURCHILL

We develop a maximum-likelihood framework for using temporal changes in allele frequencies to estimate the number of breeding individuals in a population. We use simulations to compare the performance of this estimator to an F-statistic estimator of variance effective population size. The maximum-likelihood estimator had a lower variance and smaller bias. Taking advantage of the likelihood framework, we extend the model to include exponential growth and show that temporal allele frequency data from three or more sampling events can be used to test for population growth.





This article has been cited by other articles:


Home page
GeneticsHome page
J. P. Bollback, T. L. York, and R. Nielsen
Estimation of 2Nes From Temporal Allele Frequency Data
Genetics, May 1, 2008; 179(1): 497 - 502.
[Abstract] [Full Text] [PDF]


Home page
GeneticsHome page
P. E. Jorde and N. Ryman
Unbiased Estimator for Genetic Drift and Effective Population Size
Genetics, October 1, 2007; 177(2): 927 - 935.
[Abstract] [Full Text] [PDF]


Home page
GeneticsHome page
G. T. Skalski
Joint Estimation of Migration Rate and Effective Population Size Using the Island Model
Genetics, October 1, 2007; 177(2): 1043 - 1057.
[Abstract] [Full Text] [PDF]


Home page
GeneticsHome page
R. S. Waples and M. Yokota
Temporal Estimates of Effective Population Size in Species With Overlapping Generations
Genetics, January 1, 2007; 175(1): 219 - 233.
[Abstract] [Full Text] [PDF]


Home page
GeneticsHome page
T. Kitakado, S. Kitada, Y. Obata, and H. Kishino
Simultaneous Estimation of Mixing Rates and Genetic Drift Under Successive Sampling of Genetic Markers With Application to the Mud Crab (Scylla paramamosain) in Japan.
Genetics, August 1, 2006; 173(4): 2063 - 2072.
[Abstract] [Full Text] [PDF]


Home page
J HeredHome page
J. Fernandez, J. Galindo, B. Fernandez, A. Perez-Figueroa, A. Caballero, and E. Rolan-Alvarez
Genetic Differentiation and Estimation of Effective Population Size and Migration Rates in Two Sympatric Ecotypes of the Marine Snail Littorina saxatilis
J. Hered., July 1, 2005; 96(4): 460 - 464.
[Abstract] [Full Text] [PDF]


Home page
GeneticsHome page
E. C. Anderson
An Efficient Monte Carlo Method for Estimating Ne From Temporally Spaced Samples Using a Coalescent-Based Likelihood
Genetics, June 1, 2005; 170(2): 955 - 967.
[Abstract] [Full Text] [PDF]


Home page
GeneticsHome page
L. Excoffier, A. Estoup, and J.-M. Cornuet
Bayesian Analysis of an Admixture Model With Mutations and Arbitrarily Linked Markers
Genetics, March 1, 2005; 169(3): 1727 - 1738.
[Abstract] [Full Text] [PDF]


Home page
GeneticsHome page
I. Goldringer and T. Bataillon
On the Distribution of Temporal Variations in Allele Frequency: Consequences for the Estimation of Effective Population Size and the Detection of Loci Undergoing Selection
Genetics, September 1, 2004; 168(1): 563 - 568.
[Abstract] [Full Text] [PDF]


Home page
GeneticsHome page
D. A. Tallmon, G. Luikart, and M. A. Beaumont
Comparative Evaluation of a New Effective Population Size Estimator Based on Approximate Bayesian Computation
Genetics, June 1, 2004; 167(2): 977 - 988.
[Abstract] [Full Text] [PDF]


Home page
GeneticsHome page
M. A. Beaumont
Estimation of Population Growth or Decline in Genetically Monitored Populations
Genetics, July 1, 2003; 164(3): 1139 - 1160.
[Abstract] [Full Text] [PDF]


Home page
GeneticsHome page
G. Laval, M. SanCristobal, and C. Chevalet
Maximum-Likelihood and Markov Chain Monte Carlo Approaches to Estimate Inbreeding and Effective Size From Allele Frequency Changes
Genetics, July 1, 2003; 164(3): 1189 - 1204.
[Abstract] [Full Text] [PDF]


Home page
GeneticsHome page
J. Wang and M. C. Whitlock
Estimating Effective Population Size and Migration Rates From Genetic Samples Over Space and Time
Genetics, January 1, 2003; 163(1): 429 - 446.
[Abstract] [Full Text] [PDF]


Home page
GeneticsHome page
T. F. Turner, J. P. Wares, and J. R. Gold
Genetic Effective Size Is Three Orders of Magnitude Smaller Than Adult Census Size in an Abundant, Estuarine-Dependent Marine Fish (Sciaenops ocellatus)
Genetics, November 1, 2002; 162(3): 1329 - 1339.
[Abstract] [Full Text] [PDF]


Home page
GeneticsHome page
P. Berthier, M. A. Beaumont, J.-M. Cornuet, and G. Luikart
Likelihood-Based Estimation of the Effective Population Size Using Temporal Changes in Allele Frequencies: A Genealogical Approach
Genetics, February 1, 2002; 160(2): 741 - 751.
[Abstract] [Full Text] [PDF]


Home page
GeneticsHome page
R. Vitalis and D. Couvet
Estimation of Effective Population Size and Migration Rate From One- and Two-Locus Identity Measures
Genetics, February 1, 2001; 157(2): 911 - 925.
[Abstract] [Full Text]


Home page
GeneticsHome page
S. Kitada, T. Hayashi, and H. Kishino
Empirical Bayes Procedure for Estimating Genetic Distance Between Populations and Effective Population Size
Genetics, December 1, 2000; 156(4): 2063 - 2079.
[Abstract] [Full Text]


Home page
GeneticsHome page
E. C. Anderson, E. G. Williamson, and E. A. Thompson
Monte Carlo Evaluation of the Likelihood for Ne From Temporally Spaced Samples
Genetics, December 1, 2000; 156(4): 2109 - 2118.
[Abstract] [Full Text]