Section: Evolutionary Biology
Topic: Evolution, Genetics/Genomics, Population biology

A new and almost perfectly accurate approximation of the eigenvalue effective population size of a dioecious population: comparisons with other estimates and detailed proofs

10.24072/pcjournal.280 - Peer Community Journal, Volume 3 (2023), article no. e51.

Get full text PDF Peer reviewed and recommended by PCI

The effective population size is an important concept in population genetics. It corresponds to a measure of the speed at which genetic drift affects a given population. Moreover, this is most of the time the only kind of population size that empirical population genetics can give access to. Dioecious populations are expected to display excesses of heterozygosity as compared to monoecious panmictic populations, as measured by Wright's FIS. It can be shown that these excesses are negatively correlated with the population size. This is why FIS can be used to estimate the eigenvalue effective population size of dioecious populations. In this paper, we propose a new approximation that provides a very accurate estimate of the eigenvalue effective population size of a dioecious population as a function of the real population size. We then explore the accuracy of different FIS-based methods using the leading eigenvalue of transition matrices or coalescence. It appears that the eigenvalue-based method provides more accurate results in very small populations, probably due to approximations made by the coalescence approach that are less valid in such situations. We also discuss the applicability of this method in the field.

Published online:
DOI: 10.24072/pcjournal.280
Type: Research article
Keywords: Effective population size, Dioecy, Heterozygote excess, F-statistics
De Meeûs, Thierry 1; Noûs, Camille 2

1 Univ Montpellier, Cirad, IRD, Intertryp, Montpellier, France
2 Cogitamus laboratory (https://www.cogitamus.fr/), France
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights
@article{10_24072_pcjournal_280,
     author = {De Mee\^us, Thierry and No\^us, Camille},
     title = {A new and almost perfectly accurate approximation of the eigenvalue effective population size of a dioecious population: comparisons with other estimates and detailed proofs},
     journal = {Peer Community Journal},
     eid = {e51},
     publisher = {Peer Community In},
     volume = {3},
     year = {2023},
     doi = {10.24072/pcjournal.280},
     language = {en},
     url = {https://peercommunityjournal.org/articles/10.24072/pcjournal.280/}
}
TY  - JOUR
AU  - De Meeûs, Thierry
AU  - Noûs, Camille
TI  - A new and almost perfectly accurate approximation of the eigenvalue effective population size of a dioecious population: comparisons with other estimates and detailed proofs
JO  - Peer Community Journal
PY  - 2023
VL  - 3
PB  - Peer Community In
UR  - https://peercommunityjournal.org/articles/10.24072/pcjournal.280/
DO  - 10.24072/pcjournal.280
LA  - en
ID  - 10_24072_pcjournal_280
ER  - 
%0 Journal Article
%A De Meeûs, Thierry
%A Noûs, Camille
%T A new and almost perfectly accurate approximation of the eigenvalue effective population size of a dioecious population: comparisons with other estimates and detailed proofs
%J Peer Community Journal
%D 2023
%V 3
%I Peer Community In
%U https://peercommunityjournal.org/articles/10.24072/pcjournal.280/
%R 10.24072/pcjournal.280
%G en
%F 10_24072_pcjournal_280
De Meeûs, Thierry; Noûs, Camille. A new and almost perfectly accurate approximation of the eigenvalue effective population size of a dioecious population: comparisons with other estimates and detailed proofs. Peer Community Journal, Volume 3 (2023), article  no. e51. doi : 10.24072/pcjournal.280. https://peercommunityjournal.org/articles/10.24072/pcjournal.280/

Peer reviewed and recommended by PCI : 10.24072/pci.evolbiol.100651

Conflict of interest of the recommender and peer reviewers:
The recommender in charge of the evaluation of the article and the reviewers declared that they have no conflict of interest (as defined in the code of conduct of PCI) with the authors or with the content of the article.

[1] Baer, C. All you ever wanted to know about Ne in one handy place, Peer Community in Evolutionary Biology (2023) | DOI

[2] Balloux, F. EASYPOP (version 1.7): A computer program for population genetics simulations, Journal of Heredity, Volume 92 (2001) no. 3, pp. 301-302 | DOI

[3] Balloux, F. Heterozygote excess in small populations and the heterozygote-excess effective population size, Evolution, Volume 58 (2004) no. 9, p. 1891-900 | DOI

[4] Balloux, F.; Lehmann, L. Random mating with a finite number of matings, Genetics, Volume 165 (2003) no. 4, pp. 2313-2315 | DOI

[5] Balloux, F.; Lehmann, L.; De Meeûs, T. The population genetics of clonal and partially clonal diploids, Genetics, Volume 164 (2003) no. 4, pp. 1635-1644 | DOI

[6] Beaurepaire, A. L.; Krieger, K. J.; Moritz, R. F. A. Seasonal cycle of inbreeding and recombination of the parasitic mite Varroa destructor in honeybee colonies and its implications for the selection of acaricide resistance, Infection Genetics and Evolution, Volume 50 (2017), pp. 49-54 | DOI

[7] Castle, W. E. The laws of heredity of Galton and Mendel, and some laws governing race improvement by selection, Proceedings of the American Academy of Arts and Sciences, Volume 39 (1903) no. 8, pp. 223-242 | DOI

[8] Coombs, J. .. A.; Letcher, B. .. H.; Nislow, K. .. H. CREATE: a software to create input files from diploid genotypic data for 52 genetic software programs, Molecular Ecology Resources, Volume 8 (2008), pp. 578-580 | DOI

[9] Crow, J. F.; Kimura, M. An Introduction to Population Genetics Theory, The Blackburn Press, Caldwell, New-Jersey, 1970

[10] De Meeûs, T. Dataset of the article "A new and almost perfectly accurate approximation of the eigenvalue effective population size of a dioecious population: comparisons with other estimates and detailed proofs" (Version 2) [Data set], Zenodo, 2023 | DOI

[11] De Meeûs, T.; Chan, C. T.; Ludwig, J. M.; Tsao, J. I.; Patel, J.; Bhagatwala, J.; Beati, L. Deceptive combined effects of short allele dominance and stuttering: an example with Ixodes scapularis, the main vector of Lyme disease in the U.S.A., Peer Community Journal, Volume 1 (2021) | DOI

[12] De Meeûs, T.; Koffi, B. B.; Barré, N.; de Garine-Wichatitsky, M.; Chevillon, C. Swift sympatric adaptation of a species of cattle tick to a new deer host in New-Caledonia, Infection Genetics and Evolution, Volume 10 (2010) no. 7, pp. 976-983 | DOI

[13] De Meeûs, T.; Lehmann, L.; Balloux, F. Molecular epidemiology of clonal diploids: A quick overview and a short DIY (do it yourself) notice, Infection Genetics and Evolution, Volume 6 (2006) no. 2, pp. 163-170 | DOI

[14] De Meeûs, T.; Prugnolle, F.; Agnew, P. Asexual reproduction: Genetics and evolutionary aspects, Cellular and Molecular Life Sciences, Volume 64 (2007) no. 11, pp. 1355-1372 | DOI

[15] Do, C.; Waples, R. S.; Peel, D.; Macbeth, G. M.; Tillett, B. J.; Ovenden, J. R. NeEstimator v2: re-implementation of software for the estimation of contemporary effective population size (Ne) from genetic data, Molecular Ecology Resources, Volume 14 (2014) no. 1, pp. 209-214 | DOI

[16] Ewens, W. J. Mathematical Population Genetics: I. Theoretical Introduction, 2nd Edition, Interdisciplinary Applied Mathematics, Volume 27, 27, Springer, New York, 2004

[17] Felsenstein, J. Theoretical Evolutionary Genetics, Department of Genome Sciences and Department of Biology, University of Washington, Seattle, Washington, 2019 (https://evolution.genetics.washington.edu/pgbook/pgbook.html)

[18] Goudet, J. FSTAT (Version 1.2): A computer program to calculate F-statistics, Journal of Heredity, Volume 86 (1995) no. 6, pp. 485-486 (Type: Journal Article) | DOI

[19] Harzing, A. W. Publish or Perish, 2007 (https://harzing.com/resources/publish-or-perish)

[20] Häußermann, C. K.; Giacobino, A.; Munz, R.; Ziegelmann, B.; Palacio, M. A.; Rosenkranz, P. Reproductive parameters of female Varroa destructor and the impact of mating in worker brood of Apis mellifera, Apidologie, Volume 51 (2020), pp. 342-355 | DOI

[21] Horn, R. A.; Johnson, C. R. Matrix Analysis, Second Edition, Cambridge University Press, Cambridge, UK, 2013

[22] Jorde, P. E.; Ryman, N. Unbiased estimator for genetic drift and effective population size, Genetics, Volume 177 (2007), pp. 927-935

[23] Koffi, B. B.; De Meeûs, T.; Barré, N.; Durand, P.; Arnathau, C.; Chevillon, C. Founder effects, inbreeding and effective sizes in the Southern cattle tick: the effect of transmission dynamics and implications for pest management, Molecular Ecology, Volume 15 (2006) no. 14, pp. 4603-4611 | DOI

[24] Laporte, V.; Charlesworth, B. Effective population size and population subdivision in demographically structured populations, Genetics, Volume 162 (2002) no. 1, pp. 501-519

[25] Manangwa, O.; De Meeûs, T.; Grébaut, P.; Segard, A.; Byamungu, M.; Ravel, S. Detecting Wahlund effects together with amplification problems : cryptic species, null alleles and short allele dominance in Glossina pallidipes populations from Tanzania, Molecular Ecology Resources, Volume 19 (2019) no. 3, pp. 757-772 | DOI

[26] Nei, M.; Chesser, R. K. Estimation of fixation indices and gene diversities, Annals of Human Genetics, Volume 47 (1983) no. Pt 3, p. 253-9 | DOI

[27] Nei, M.; Tajima, F. Genetic drift and estimation of effective population size, Genetics, Volume 98 (1981), pp. 625-640 | DOI

[28] Nomura, T. Estimation of effective number of breeders from molecular coancestry of single cohort sample, Evolutionary Applications, Volume 1 (2008) no. 3, pp. 462-474 | DOI

[29] Palstra, F. P.; Ruzzante, D. E. Genetic estimates of contemporary effective population size: what can they tell us about the importance of genetic stochasticity for wild population persistence?, Molecular Ecology, Volume 17 (2008) no. 15, pp. 3428-3447 | DOI

[30] Pollak, E. A new method for estimating the effective population size from allele frequency changes, Genetics, Volume 104 (1983), pp. 531-548 | DOI

[31] Pudovkin, A. I.; Zaykin, D. V.; Hedgecock, D. On the potential for estimating the effective number of breeders from heterozygote excess in progeny, Genetics, Volume 144 (1996), pp. 383-387 | DOI

[32] Ravel, S.; Mahamat, M. H.; Ségard, A.; Argiles-Herrero, R.; Bouyer, J.; Rayaisse, J.-B.; Solano, P.; Mollo, B. G.; Pèka, M.; Darnas, J.; Belem, A. M. G.; Yoni, W.; Noûs, C.; De Meeûs, T. Population genetics of Glossina fuscipes fuscipes from southern Chad, Peer Community Journal, Volume 3 (2023) | DOI

[33] Robertson, A. The interpretation of genotypic ratios in domestic animal populations, Animal Production, Volume 7 (1965), pp. 319-324 | DOI

[34] Robertson, A.; Hill, W. G. Deviations from Hardy-Weinberg proportions - Sampling variances and use in estimation of inbreeding coefficients, Genetics, Volume 107 (1984) no. 4, pp. 703-718 | DOI

[35] Rousset, F. Equilibrium Values of Measures of Population Subdivision for Stepwise Mutation Processes, Genetics, Volume 142 (1996) no. 4, pp. 1357-1362 | DOI

[36] Rousset, F. Genetic Structure and Selection in Subdivided Populations, Princeton University Press, Princeton, 2004

[37] Vitalis, R.; Couvet, D. ESTIM 1.0: a computer program to infer population parameters from one- and two-locus gene identity probabilities, Molecular Ecology Notes, Volume 1 (2001) no. 4, pp. 354-356 | DOI

[38] Vitalis, R.; Couvet, D. Estimation of Effective Population Size and Migration Rate From One- and Two-Locus Identity Measures, Genetics, Volume 157 (2001) no. 2, pp. 911-925 | DOI

[39] Vitalis, R.; Couvet, D. Two-locus identity probabilities and identity disequilibrium in a partially selfing subdivided population, Genetical Research, Volume 77 (2001) no. 1, pp. 67-81 | DOI

[40] Vodopivec, A. wxMaxima, a document based interface for the computer algebra system Maxima, distributed under the GPL license, donwloadable at https://wxmaxima-developers.github.io/wxmaxima/, Volume version 17.10.1 (2017) (https://wxmaxima-developers.github.io/wxmaxima/)

[41] Wang, J. L. A new method for estimating effective population sizes from a single sample of multilocus genotypes, Molecular Ecology, Volume 18 (2009) no. 10, pp. 2148-2164 | DOI

[42] Wang, J. L. A comparison of single-sample estimators of effective population sizes from genetic marker data, Molecular Ecology, Volume 25 (2016) no. 19, pp. 4692-4711 | DOI

[43] Wang, J. L.; Whitlock, M. C. Estimating effective population size and migration rates from genetic samples over space and time, Genetics, Volume 163 (2003) no. 1, pp. 429-446 | DOI

[44] Waples, R. S. A bias correction for estimates of effective population size based on linkage disequilibrium at unlinked gene loci, Conservation Genetics, Volume 7 (2006) no. 2, pp. 167-184 | DOI

[45] Waples, R. S.; Do, C. Linkage disequilibrium estimates of contemporary Ne using highly variable genetic markers: a largely untapped resource for applied conservation and evolution, Evolutionary Applications, Volume 3 (2010), pp. 244-262 | DOI

[46] Waples, R. S.; England, P. R. Estimating contemporary effective population size on the basis of linkage disequilibrium in the face of migration, Genetics, Volume 189 (2011) no. 2, pp. 633-644 | DOI

[47] Weinberg, W. Über den Nachweis der Verebung beim Menschen, Jahresheft des Vereins fur Vaterlundische Naturkunde in Wurttemberg, Volume 64 (1908), pp. 368-382 (https://archive.org/details/b30613000/page/370/mode/2up)

[48] Weir, B.; Cockerham, C. Estimating F-statistics for the analysis of population structure, Evolution, Volume 38 (1984), pp. 1358-1370 | DOI

[49] Werren, J. H. Sex ratio adaptations to local mate competition in a parasitic wasp, Science, Volume 208 (1980) no. 4448, pp. 1157-1159 | DOI

[50] Wright, S. The interpretation of population structure by F-statistics with special regard to system of mating, Evolution, Volume 19 (1965), pp. 395-420 | DOI

[51] Wright, S. Evolution and the genetics of Populations Volume 2: The Theory of Gene Frequencies, The University of Chicago Press, Chicago, 1969

Cited by Sources: