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Detecting inbreeding depression in the wild is difficult; developing accurate estimates of inbreeding can be time and labor intensive. In this study, we used a two-step modeling procedure to incorporate uncertainty inherent in estimating individual inbreeding coefficients from multilocus genotypes into estimates of inbreeding depression in a population of Weddell seals (Leptonychotes weddellii). The two-step modeling procedure presented in this paper provides a method for estimating the magnitude of a known source of error, which is assumed absent in classic regression models, and incorporating this error into inferences about inbreeding depression. The method is essentially an errors-in-variables regression with non-normal errors in both the dependent and independent variables. These models, therefore, allow for a better evaluation of the uncertainty surrounding the biological importance of inbreeding depression in non-pedigreed wild populations. For this study we genotyped 154 adult female seals from the population in Erebus Bay, Antarctica, at 29 microsatellite loci, 12 of which are novel. We used a statistical evidence approach to inference rather than hypothesis testing because the discovery of both low and high levels of inbreeding are of scientific interest. We found evidence for an absence of inbreeding depression in lifetime reproductive success, adult survival, age at maturity, and the reproductive interval of female seals in this population.<\/jats:p>","DOI":"10.3390\/e25030403","type":"journal-article","created":{"date-parts":[[2023,2,23]],"date-time":"2023-02-23T02:57:34Z","timestamp":1677121054000},"page":"403","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Evidence of an Absence of Inbreeding Depression in a Wild Population of Weddell Seals (Leptonychotes weddellii)"],"prefix":"10.3390","volume":"25","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1022-7885","authenticated-orcid":false,"given":"John H.","family":"Powell","sequence":"first","affiliation":[{"name":"Department of Ecology, Montana State University, P.O. Box 173460, Bozeman, MT 59717, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Steven T.","family":"Kalinowski","sequence":"additional","affiliation":[{"name":"Department of Ecology, Montana State University, P.O. Box 173460, Bozeman, MT 59717, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Mark L.","family":"Taper","sequence":"additional","affiliation":[{"name":"Department of Ecology, Montana State University, P.O. Box 173460, Bozeman, MT 59717, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7014-7524","authenticated-orcid":false,"given":"Jay J.","family":"Rotella","sequence":"additional","affiliation":[{"name":"Department of Ecology, Montana State University, P.O. Box 173460, Bozeman, MT 59717, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Corey S.","family":"Davis","sequence":"additional","affiliation":[{"name":"Department of Biological Sciences, University of Alberta, Edmonton, AB T6G 2E9, Canada"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Robert A.","family":"Garrott","sequence":"additional","affiliation":[{"name":"Department of Ecology, Montana State University, P.O. Box 173460, Bozeman, MT 59717, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2023,2,22]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Popper, K. (1959). The Logic of Scientific Discovery, Routledge.","DOI":"10.1063\/1.3060577"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"372","DOI":"10.3389\/fevo.2019.00372","article-title":"Errors in statistical inference under model misspecification: Evidence, hypothesis testing, and AIC","volume":"7","author":"Dennis","year":"2019","journal-title":"Front. Ecol. Evol."},{"key":"ref_3","first-page":"30","article-title":"Publication decisions and their possible effects on inferences drawn from tests of significance\u2014Or vice versa","volume":"54","author":"Sterling","year":"1959","journal-title":"J. Am. Statl. Assoc."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"638","DOI":"10.1037\/0033-2909.86.3.638","article-title":"The \u201cfile drawer problem\u201d and tolerance for null results","volume":"86","author":"Rosenthal","year":"1979","journal-title":"Psychol. Bull."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"883456","DOI":"10.3389\/fevo.2022.883456","article-title":"Editorial: Evidential statistics, model identification, and science","volume":"10","author":"Taper","year":"2022","journal-title":"Front. Ecol. Evol."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"454","DOI":"10.1126\/science.1068916","article-title":"Inbreeding and metapopulations","volume":"295","author":"Ives","year":"2002","journal-title":"Science"},{"key":"ref_7","unstructured":"Darwin, C.R. (1868). Variation of Animals and Plants under Domestication, John Murry."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"1101","DOI":"10.1126\/science.493997","article-title":"Inbreeding and juvenile mortality in small populations","volume":"206","author":"Ralls","year":"1987","journal-title":"Science"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"185","DOI":"10.1111\/j.1523-1739.1988.tb00169.x","article-title":"Estimates of lethal equivalents and the cost of inbreeding in mammals","volume":"2","author":"Ralls","year":"1988","journal-title":"Conserv. Boil."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"260","DOI":"10.1038\/sj.hdy.6885530","article-title":"Inbreeding depression in the wild","volume":"83","author":"Crnokrak","year":"1999","journal-title":"Heredity"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1146\/annurev.ecolsys.31.1.139","article-title":"Inbreeding depression in conservation biology","volume":"31","author":"Hedrick","year":"2000","journal-title":"Annu. Rev. Ecol. Syst."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"230","DOI":"10.1016\/S0169-5347(02)02489-8","article-title":"Inbreeding effects in wild populations","volume":"17","author":"Keller","year":"2002","journal-title":"Trends Ecol. Evol."},{"key":"ref_13","unstructured":"Soul\u00e9, M.E. (1986). Conservation Biology the Science of Scarcity and Diversity, Sinauer Associates."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"135","DOI":"10.1053\/j.seminhematol.2008.04.003","article-title":"A dirty dozen: Twelve p-value misconceptions","volume":"45","author":"Goodman","year":"2008","journal-title":"Semin. Hematol."},{"key":"ref_15","unstructured":"Royall, R.M. (1997). Statistical Evidence: A Likelihood Paradigm, Chapman & Hall."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"413","DOI":"10.3389\/fevo.2019.00413","article-title":"Model Projections in Model Space: A geometric interpretation of the AIC allows estimating the distance between truth and approximating models","volume":"10","author":"Ponciano","year":"2019","journal-title":"Front. Ecol. Evol."},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Locke, J. (1690). An Essay Concerning Humane Understanding (Book IV, Chapter XVII), Thomas Basset.","DOI":"10.1093\/oseo\/instance.00018020"},{"key":"ref_18","unstructured":"Petrov, B.N., and Csaki, F. (1973). Second International Symposium on Information Theory, Akademiai Kiado."},{"key":"ref_19","first-page":"668","article-title":"Assessing the Global and Local Uncertainty of Scientific Evidence in the Presence of Model Misspecification","volume":"10","author":"Taper","year":"2021","journal-title":"Front. Ecol. Evol."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"855","DOI":"10.1073\/pnas.42.11.855","article-title":"An estimate of the mutational damage in man from data on consanguineous marriages","volume":"42","author":"Morton","year":"1956","journal-title":"Proc. Nat. Acad. Sci. USA"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"613","DOI":"10.1016\/j.tree.2004.09.010","article-title":"Measuring inbreeding depression in the wild: The old ways are the best","volume":"19","author":"Pemberton","year":"2004","journal-title":"Trends Ecol. Evol."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"255","DOI":"10.1038\/sj.hdy.6800485","article-title":"Understanding the relationship between the inbreeding coefficient and multilocus heterozygosity: Theoretical expectations and empirical data","volume":"93","author":"Slate","year":"2004","journal-title":"Heredity"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"3021","DOI":"10.1111\/j.1365-294X.2004.02318.x","article-title":"Does heterozygosity estimate inbreeding in real populations?","volume":"13","author":"Balloux","year":"2004","journal-title":"Mol. Ecol."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"20","DOI":"10.1046\/j.1420-9101.2002.00373.x","article-title":"Comparing molecular measures for detecting inbreeding depression","volume":"15","author":"Slate","year":"2002","journal-title":"J. Evol. Biol."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"240","DOI":"10.1038\/hdy.2013.99","article-title":"Estimating genome-wide heterozygosity: Effects of demographic history and marker type","volume":"112","author":"Miller","year":"2014","journal-title":"Heredity"},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"1899","DOI":"10.1111\/mec.12707","article-title":"Assessment of identity disequilibrium and its relation to empirical heterozygosity fitness correlations: A meta-analysis","volume":"23","author":"Miller","year":"2014","journal-title":"Mol. Ecol."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1038\/nrg.2015.28","article-title":"Harnessing the power of RADseq for ecological and evolutionary genomics","volume":"17","author":"Andrews","year":"2016","journal-title":"Nat. Rev. Genet."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1038\/hdy.2015.17","article-title":"Measuring individual inbreeding in the age of genomics: Marker-based measures are better than pedigrees","volume":"115","author":"Kardos","year":"2015","journal-title":"Heredity"},{"key":"ref_29","first-page":"971","article-title":"Microsatellite measures of inbreeding: A meta-analysis","volume":"57","author":"Coltman","year":"2003","journal-title":"Evolution"},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"2746","DOI":"10.1111\/j.1365-294X.2009.04247.x","article-title":"A quantitative review of heterozygosity-fitness correlations in animal populations","volume":"18","author":"Chapman","year":"2009","journal-title":"Mol. Ecol."},{"key":"ref_31","unstructured":"Powell, J.H. (2014). Investigating the Role of Dispersal on the Genetic Structure of Wild Populations. [Ph.D. Thesis, Montana State University]."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"551","DOI":"10.1111\/j.1461-0248.2007.01047.x","article-title":"Data cloning: Easy maximum likelihood estimation for complex ecological models using Bayesian Markov chain Monte Carlo methods","volume":"10","author":"Lele","year":"2007","journal-title":"Ecol. Lett."},{"key":"ref_33","first-page":"1683","article-title":"Environmental and senescent related variations in Weddell seal body mass: Implications for age-specific reproductive performance","volume":"116","author":"Proffitt","year":"2007","journal-title":"Oikos"},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"975","DOI":"10.1890\/08-0971.1","article-title":"An evaluation of density-dependent and density-independent influences on population growth rates in Weddell seals","volume":"90","author":"Rotella","year":"2009","journal-title":"Ecology"},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"601","DOI":"10.1139\/z04-025","article-title":"Age-specific survival, abundance, and immigration rates of a Weddell seal (Leptonychotes weddellii) population in McMurdo Sound, Antarctica","volume":"82","author":"Cameron","year":"2004","journal-title":"Can. J. Zool."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"1058","DOI":"10.1111\/j.1365-2656.2006.01118.x","article-title":"Variation in probability of first reproduction of Weddell seals","volume":"75","author":"Hadley","year":"2006","journal-title":"J. Anim. Ecol."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"1165","DOI":"10.1111\/j.0030-1299.2008.16623.x","article-title":"Spatial variation in age-specific probabilities of first reproduction for Weddell seals","volume":"117","author":"Hadley","year":"2008","journal-title":"Oikos"},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"491","DOI":"10.1644\/1545-1542(2001)082<0491:MEFTIW>2.0.CO;2","article-title":"Molecular evidence for twinning in Weddell seals (Leptonychotes weddellii)","volume":"82","author":"Gelatt","year":"2001","journal-title":"J. Mammal."},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"448","DOI":"10.1111\/j.1365-2656.2007.01219.x","article-title":"Evaluation of reproductive costs for Weddell seals in Erebus Bay, Antarctica","volume":"76","author":"Hadley","year":"2007","journal-title":"J. Anim. Ecol."},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"722","DOI":"10.1046\/j.1365-2656.1998.00242.x","article-title":"Maternal and birth colony effects on survival of Weddell seal offspring from McMurdo Sound, Antarctica","volume":"67","author":"Hastings","year":"1998","journal-title":"J. Anim. Ecol."},{"key":"ref_41","first-page":"1027","article-title":"Environmental variation and cohort effects in an Antarctic predator","volume":"120","author":"Garrott","year":"2011","journal-title":"Okios"},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"721","DOI":"10.1007\/s10592-009-9856-6","article-title":"History and fate of a small isolated population of Weddell seals at White Island, Antarctica","volume":"11","author":"Gelatt","year":"2010","journal-title":"Conserv. Genet."},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"1679","DOI":"10.1007\/s00265-008-0596-2","article-title":"Variation in offspring sex ratio among individual Weddell seal (Leptonychotes weddellii) females of different quality","volume":"62","author":"Proffitt","year":"2008","journal-title":"Behav. Ecol. Sociobiol."},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"185","DOI":"10.2144\/000113084","article-title":"Fast, cost-effective development of species-specific microsatellite markers by genomic sequencing","volume":"46","author":"Abdelkrim","year":"2009","journal-title":"Biotechniques"},{"key":"ref_45","doi-asserted-by":"crossref","first-page":"233","DOI":"10.1038\/72708","article-title":"An economic method for the fluorescent labeling of PCR fragments","volume":"18","author":"Schuelke","year":"2000","journal-title":"Nat. Biotechnol."},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"203","DOI":"10.1046\/j.1471-8286.2002.00187.x-i2","article-title":"Dinucleotide microsatellite markers from the Antarctic seals and their use in other Pinnipeds","volume":"2","author":"Davis","year":"2002","journal-title":"Mol. Ecol. Notes"},{"key":"ref_47","doi-asserted-by":"crossref","first-page":"519","DOI":"10.1111\/j.1365-294X.1995.tb00248.x","article-title":"The molecular basis and evolutionary history of a microsatellite null allele in bears","volume":"4","author":"Paetkau","year":"1995","journal-title":"Mol. Ecol."},{"key":"ref_48","doi-asserted-by":"crossref","first-page":"288","DOI":"10.1111\/j.1471-8286.2005.01155.x","article-title":"GENALEX 6, genetic analysis in Excel. Population genetic software for teaching and research","volume":"6","author":"Peakall","year":"2006","journal-title":"Mol. Ecol. Notes"},{"key":"ref_49","doi-asserted-by":"crossref","first-page":"2537","DOI":"10.1093\/bioinformatics\/bts460","article-title":"GenAlEx 6.5, genetic analysis in Excel. Population genetic software for teaching and research\u2014An update","volume":"28","author":"Peakall","year":"2012","journal-title":"Bioinformatics"},{"key":"ref_50","doi-asserted-by":"crossref","first-page":"361","DOI":"10.2307\/2532296","article-title":"Performing the exact test for Hardy-Weinberg proportion for multiple alleles","volume":"48","author":"Guo","year":"1992","journal-title":"Biometrics"},{"key":"ref_51","doi-asserted-by":"crossref","first-page":"248","DOI":"10.1093\/oxfordjournals.jhered.a111573","article-title":"GENEPOP (version 1.2): Population genetics software for exact tests and ecumenicism","volume":"86","author":"Raymond","year":"1995","journal-title":"J. Hered."},{"key":"ref_52","first-page":"137","article-title":"Genepop \u2018007, a complete reimplementation of the Genepop software for Windows and Linux","volume":"4","author":"Rousset","year":"2008","journal-title":"Mol. Ecol. Notes"},{"key":"ref_53","doi-asserted-by":"crossref","first-page":"501","DOI":"10.3389\/fevo.2019.00501","article-title":"Consequences of lack of parameterization invariance of non-informative Bayesian analysis for wildlife management: Survival of San Joaquin kit fox and declines in amphibian populations","volume":"7","author":"Lele","year":"2020","journal-title":"Front. Ecol. Evol."},{"key":"ref_54","doi-asserted-by":"crossref","first-page":"1617","DOI":"10.1198\/jasa.2010.tm09757","article-title":"Estimability and likelihood inference for generalized linear mixed models using data cloning","volume":"105","author":"Lele","year":"2010","journal-title":"J. Am. Stat. Assoc."},{"key":"ref_55","doi-asserted-by":"crossref","first-page":"955","DOI":"10.1093\/sysbio\/sys055","article-title":"Assessing Parameter Identifiability in Phylogenetic Models Using Data Cloning","volume":"61","author":"Ponciano","year":"2012","journal-title":"Syst. Biol."},{"key":"ref_56","doi-asserted-by":"crossref","first-page":"356","DOI":"10.1890\/08-0967.1","article-title":"Hierarchical models in ecology: Confidence intervals, hypothesis testing, and model selection using data cloning","volume":"90","author":"Ponciano","year":"2009","journal-title":"Ecology"},{"key":"ref_57","doi-asserted-by":"crossref","first-page":"29","DOI":"10.32614\/RJ-2010-011","article-title":"dclone: Data cloning in R","volume":"2","year":"2010","journal-title":"R J."},{"key":"ref_58","doi-asserted-by":"crossref","first-page":"80","DOI":"10.1111\/j.2517-6161.1969.tb00767.x","article-title":"On asymptotic behaviour of posterior distributions","volume":"31","author":"Walker","year":"1969","journal-title":"J. R. Stat. Soc. Ser. B Stat. Methodol."},{"key":"ref_59","doi-asserted-by":"crossref","first-page":"433","DOI":"10.1046\/j.1420-9101.2002.00404.x","article-title":"High resolution analysis of mating systems: Inbreeding in natural populations of Pinus radiata","volume":"15","author":"Vogl","year":"2002","journal-title":"J. Evol. Biol."},{"key":"ref_60","doi-asserted-by":"crossref","first-page":"325","DOI":"10.1023\/A:1008929526011","article-title":"WinBUGS\u2014A Bayesian modeling framework: Concepts, structure, and extensibility","volume":"10","author":"Lunn","year":"2000","journal-title":"Stat. Comput."},{"key":"ref_61","doi-asserted-by":"crossref","unstructured":"Lesaffre, E., and Lawson, A. (2012). Bayesian Biostatistics, John Wiles & Sons.","DOI":"10.1002\/9781119942412"},{"key":"ref_62","doi-asserted-by":"crossref","first-page":"40","DOI":"10.1198\/000313008X267839","article-title":"A comparison of Bayes-Laplace, Jeffreys, and other priors: The case of zero events","volume":"62","author":"Tuyl","year":"2008","journal-title":"Am. Stat."},{"key":"ref_63","doi-asserted-by":"crossref","first-page":"945","DOI":"10.1093\/genetics\/155.2.945","article-title":"Inference of population structure using multilocus genotype data","volume":"155","author":"Pritchard","year":"2000","journal-title":"Genetics"},{"key":"ref_64","unstructured":"R Core Development Team (2012). R: A Language and Environment for Statistical Computing, R Foundation for Statistical Computing. Available online: http:\/\/www.R-project.org."},{"key":"ref_65","doi-asserted-by":"crossref","unstructured":"Gelman, A., Carlin, J.B., Stern, H.S., and Rubin, D.B. (2004). Bayesian Data Analysis, Chapman & Hall. [2nd ed.].","DOI":"10.1201\/9780429258480"},{"key":"ref_66","first-page":"7","article-title":"CODA: Convergence diagnostics and output analysis for MCMC","volume":"6","author":"Plummer","year":"2006","journal-title":"R News"},{"key":"ref_67","doi-asserted-by":"crossref","first-page":"2474","DOI":"10.1111\/j.1365-294X.2007.03330.x","article-title":"Reliable selfing rate estimates from imperfect population genetic data","volume":"16","author":"David","year":"2007","journal-title":"Mol. Ecol."},{"key":"ref_68","doi-asserted-by":"crossref","first-page":"1331","DOI":"10.1111\/2041-210X.12588","article-title":"inbreedR: An R package for the analysis of inbreeding based on genetic markers","volume":"7","author":"Stoffel","year":"2016","journal-title":"Methods Ecol. Evol."},{"key":"ref_69","unstructured":"Burnham, K.P., and Anderson, D.R. (2002). Model Selection and Multimodel Inference, Springer. [2nd ed.]."},{"key":"ref_70","unstructured":"Ramsey, F.L., and Schafer, D.W. (2002). The Statistical Sleuth a Course in Methods of Data Analysis, Duxbury. [2nd ed.]."},{"key":"ref_71","doi-asserted-by":"crossref","first-page":"461","DOI":"10.1214\/aos\/1176344136","article-title":"Estimating the dimension of a model","volume":"6","author":"Schwarz","year":"1978","journal-title":"Ann. Stat."},{"key":"ref_72","doi-asserted-by":"crossref","unstructured":"Taper, M.L., and Lele, S.R. (2004). The Nature of Scientific Evidence: Statistical, Philosophical and Empirical Considerations, The University of Chicago Press.","DOI":"10.7208\/chicago\/9780226789583.001.0001"},{"key":"ref_73","doi-asserted-by":"crossref","first-page":"1166","DOI":"10.3389\/fphys.2019.01166","article-title":"Strong evidence for an intraspecific metabolic scaling coefficient near 0.89 in fish","volume":"10","author":"Jerde","year":"2019","journal-title":"Front. Physiol."},{"key":"ref_74","doi-asserted-by":"crossref","first-page":"2635","DOI":"10.1016\/j.csda.2005.05.003","article-title":"An improved Akaike information criterion for state-space model selection","volume":"50","author":"Bengtsson","year":"2006","journal-title":"Comput. Stat. Data Anal."},{"key":"ref_75","doi-asserted-by":"crossref","first-page":"165","DOI":"10.2307\/3801508","article-title":"Reliability of trend lines obtained from variable counts","volume":"50","author":"Harris","year":"1986","journal-title":"J Wildl. Manag."},{"key":"ref_76","doi-asserted-by":"crossref","first-page":"709","DOI":"10.1046\/j.1365-2664.1999.00439.x","article-title":"On the rate of increase (r): Patterns of variation in Australian mammals and the implications for wildlife management","volume":"36","author":"Hone","year":"1999","journal-title":"J. Appl. Ecol."},{"key":"ref_77","unstructured":"Lunn, D. (2013, December 29). WBDevDJLTruncatedNormal Documentation. Available online: http:\/\/www.winbugs-development.org.uk\/."},{"key":"ref_78","doi-asserted-by":"crossref","unstructured":"Gelman, A., and Hill, J. (2007). Data Analysis Using Regression and Multilevel\/Hierarchical Models, Cambridge University Press.","DOI":"10.1017\/CBO9780511790942"},{"key":"ref_79","doi-asserted-by":"crossref","first-page":"515","DOI":"10.1214\/06-BA117A","article-title":"Prior distributions for variance parameters in hierarchical models","volume":"1","author":"Gelman","year":"2006","journal-title":"Bayesian Anal."},{"key":"ref_80","doi-asserted-by":"crossref","first-page":"2385","DOI":"10.1002\/ecy.2481","article-title":"Variation in the vital rates of an Antarctic marine predator: The role of individual heterogeneity","volume":"99","author":"Paterson","year":"2018","journal-title":"Ecology"},{"key":"ref_81","doi-asserted-by":"crossref","first-page":"1215","DOI":"10.1111\/j.1523-1739.2005.00105.x","article-title":"Patterns of genetic diversity and its loss in mammalian populations","volume":"19","author":"Garner","year":"2005","journal-title":"Conserv. Biol."},{"key":"ref_82","doi-asserted-by":"crossref","first-page":"653","DOI":"10.1017\/S0032247400061763","article-title":"Population aspects of Weddell Seal harvesting at McMurdo Sound, Antarctica","volume":"15","author":"Stirling","year":"1971","journal-title":"Polar Rec."},{"key":"ref_83","doi-asserted-by":"crossref","first-page":"289","DOI":"10.1111\/j.2517-6161.1995.tb02031.x","article-title":"Controlling the false discovery rate: A practical and powerful approach to multiple testing","volume":"57","author":"Benjamini","year":"1995","journal-title":"J. R. Stat. Soc. B"},{"key":"ref_84","first-page":"1358","article-title":"Estimating F-statistics for the analysis of population structure","volume":"38","author":"Weir","year":"1984","journal-title":"Evolution"},{"key":"ref_85","doi-asserted-by":"crossref","first-page":"453","DOI":"10.1111\/j.1365-294X.1996.tb00336.x","article-title":"A simple new method for estimating null allele frequency from heterozygote deficiency","volume":"5","author":"Brookfield","year":"1996","journal-title":"Mol. Ecol."},{"key":"ref_86","first-page":"24","article-title":"The evolution of self fertilization and inbreeding depression in plants. I. Genetic models","volume":"39","author":"Lande","year":"1985","journal-title":"Evolution"},{"key":"ref_87","unstructured":"Frankel, O.H., and Soul\u00e9, M.E. (1981). Conservation and Evolution, Cambridge University Press."},{"key":"ref_88","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1086\/400074","article-title":"The population consequences of life history phenomena","volume":"29","author":"Cole","year":"1954","journal-title":"Q. Rev. Biol."},{"key":"ref_89","doi-asserted-by":"crossref","first-page":"12","DOI":"10.1016\/0022-5193(66)90184-6","article-title":"The moulding of senescence by natural selection","volume":"12","author":"Hamilton","year":"1966","journal-title":"J. Theor. Biol."},{"key":"ref_90","doi-asserted-by":"crossref","first-page":"519","DOI":"10.1111\/1755-0998.12193","article-title":"Evaluating the role of inbreeding depression in heterozygosity-fitness correlations: How useful are tests for identity disequilibrium","volume":"14","author":"Kardos","year":"2014","journal-title":"Mol. Ecol. 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