A Tale of Two Tails: Peakedness Properties in Inheritance Models of Evolutionary Theory.

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A Tale of Two Tails: Peakedness Properties in Inheritance Models of Evolutionary Theory.

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dc.contributor.author Ibragimov, Rustam
dc.date.accessioned 2009-02-18T21:57:39Z
dc.date.issued 2008
dc.identifier.citation Ibragimov, Rustam. 2008. A tale of two tails: Peakedness properties in inheritance models of evolutionary theory. Journal of Evolutionary Economics 18(5): 597-613. en
dc.identifier.issn 0936-9937 en
dc.identifier.uri http://nrs.harvard.edu/urn-3:HUL.InstRepos:2624003
dc.description.abstract In this paper, we study transmission of traits through generations in multifactorial inheritance models with sex- and time-dependent heritability. We further analyze the implications of these models under heavy-tailedness of traits’ distributions. Among other results, we show that in the case of a trait (for instance, a medical or behavioral disorder or a phenotype with significant heritability affecting human capital in an economy) with not very thick-tailed initial density, the trait distribution becomes increasingly more peaked, that is, increasingly more concentrated and unequally spread, with time. But these patterns are reversed for traits with sufficiently heavy-tailed initial distributions (e.g., a medical or behavioral disorder for which there is no strongly expressed risk group or a relatively equally distributed ability with significant genetic influence). Such traits’ distributions become less peaked over time and increasingly more spread in the population. The proof of the results in the paper is based on the general results on majorization properties of heavy-tailed distributions obtained recently in Ibragimov (Econom Theory 23: 501–517, 2007) and also presented in the author’s Ph.D. dissertation (Ibragimov, New majorization theory in economics and martingale convergence results in econometrics. Yale University, 2005) and several their extensions derived in this work. en
dc.description.sponsorship Economics en
dc.language.iso en_US en
dc.publisher Springer International en
dc.relation.isversionof http://dx.doi.org/10.1007/s00191-006-0041-5 en
dash.license LAA
dc.title A Tale of Two Tails: Peakedness Properties in Inheritance Models of Evolutionary Theory. en
dc.relation.journal Journal of Evolutionary Economics en
dash.depositing.author Ibragimov, Rustam

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  • FAS Scholarly Articles [6463]
    Peer reviewed scholarly articles from the Faculty of Arts and Sciences of Harvard University

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