Sampling properties of the heterozygote-excess estimator of the effective number of breeders

2009 ◽  
Vol 11 (3) ◽  
pp. 759-771 ◽  
Author(s):  
A. I. Pudovkin ◽  
O. L. Zhdanova ◽  
D. Hedgecock
Genetics ◽  
1999 ◽  
Vol 151 (3) ◽  
pp. 1211-1216 ◽  
Author(s):  
Gordon Luikart ◽  
Jean-Marie Cornuet

Abstract The heterozygote-excess method is a recently published method for estimating the effective population size (Ne). It is based on the following principle: When the effective number of breeders (Neb) in a population is small, the allele frequencies will (by chance) be different in males and females, which causes an excess of heterozygotes in the progeny with respect to Hardy-Weinberg equilibrium expectations. We evaluate the accuracy and precision of the heterozygote-excess method using empirical and simulated data sets from polygamous, polygynous, and monogamous mating systems and by using realistic sample sizes of individuals (15-120) and loci (5-30) with varying levels of polymorphism. The method gave nearly unbiased estimates of Neb under all three mating systems. However, the confidence intervals on the point estimates of Neb were sufficiently small (and hence the heterozygote-excess method useful) only in polygamous and polygynous populations that were produced by <10 effective breeders, unless samples included > ∼60 individuals and 20 multiallelic loci.


Genetics ◽  
1996 ◽  
Vol 144 (1) ◽  
pp. 383-387 ◽  
Author(s):  
A I Pudovkin ◽  
D V Zaykin ◽  
D Hedgecock

Abstract The important parameter of effective population size is rarely estimable directly from demographic data. Indirect estimates of effective population size may be made from genetic data such as temporal variation of allelic frequencies or linkage disequilibrium in cohorts. We suggest here that an indirect estimate of the effective number of breeders might be based on the excess of heterozygosity expected in a cohort of progeny produced by a limited number of males and females. In computer simulations, heterozygote excesses for 30 unlinked loci having various numbers of alleles and allele-frequency profiles were obtained for cohorts produced by samples of breeders drawn from an age-structured population and having known variance in reproductive success and effective number. The 95% confidence limits around the estimate contained the true effective population size in 70 of 72 trials and the Spearman rank correlation of estimated and actual values was 0.991. An estimate based on heterozygote excess might have certain advantages over the previous estimates, requiring only single-locus and single-cohort data, but the sampling error among individuals and the effect of departures from random union of gametes still need-to be explored.


2015 ◽  
Vol 17 (1) ◽  
pp. 31-44 ◽  
Author(s):  
Charles Perrier ◽  
Julien April ◽  
Guillaume Cote ◽  
Louis Bernatchez ◽  
Mélanie Dionne

PLoS ONE ◽  
2012 ◽  
Vol 7 (11) ◽  
pp. e48464 ◽  
Author(s):  
Marion Hoehn ◽  
Bernd Gruber ◽  
Stephen D. Sarre ◽  
Rebecca Lange ◽  
Klaus Henle

2008 ◽  
Vol 99 (6) ◽  
pp. 694-695 ◽  
Author(s):  
O. L. Zhdanova ◽  
A. I. Pudovkin

2016 ◽  
Vol 283 (1823) ◽  
pp. 20152601 ◽  
Author(s):  
Daniel E. Ruzzante ◽  
Gregory R. McCracken ◽  
Samantha Parmelee ◽  
Kristen Hill ◽  
Amelia Corrigan ◽  
...  

The relationship between the effective number of breeders ( N b ) and the generational effective size ( N e ) has rarely been examined empirically in species with overlapping generations and iteroparity. Based on a suite of 11 microsatellite markers, we examine the relationship between N b , N e and census population size ( N c ) in 14 brook trout ( Salvelinus fontinalis ) populations inhabiting 12 small streams in Nova Scotia and sampled at least twice between 2009 and 2015. Unbiased estimates of N b obtained with individuals of a single cohort, adjusted on the basis of age at first maturation ( α ) and adult lifespan (AL), were from 1.66 to 0.24 times the average estimates of N e obtained with random samples of individuals of mixed ages (i.e. ). In turn, these differences led to adjusted N e estimates that were from nearly five to 0.7 times the estimates derived from mixed-aged individuals. These differences translate into the same range of variation in the ratio of effective to census population size within populations. Adopting as the more precise and unbiased estimates, we found that these brook trout populations differ markedly in their effective to census population sizes (range approx. 0.3 to approx. 0.01). Using A ge N e , we then showed that the variance in reproductive success or reproductive skew varied among populations by a factor of 40, from V k / k ≈ 5 to 200. These results suggest wide differences in population dynamics, probably resulting from differences in productivity affecting the intensity of competition for access to mates or redds, and thus reproductive skew. Understanding the relationship between N e , N b and N c , and how these relate to population dynamics and fluctuations in population size, are important for the design of robust conservation strategies in small populations with overlapping generations and iteroparity.


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