Journal of Molecular Evolution

, Volume 20, Issue 2, pp 99–105 | Cite as

Demographic influences on mitochondrial DNA lineage survivorship in animal populations

  • John C. Avise
  • Joseph E. Neigel
  • Jonathan Arnold


Probability models of branching processes and computer simulations of these models are used to examine stochastic survivorship of female lineages under a variety of demographic scenarios. A parameter II, defined as the probability of survival of two or more independent lineages over G generations, is monitored as a function of founding size of a population, population size at carrying capacity, and the frequency distributions of surviving progeny.

Stochastic lineage extinction can be very rapid under certain biologically plausible demographic conditions. For stable-sized populations initiated by n females and/or regulated about carrying capacity k=n, it is highly probable that within about 4n generations all descendants will trace their ancestries to a single founder female. For a given mean family size, increased variance decreases lineage survivorship. In expanding populations, however, lineage extinction is dramatically slowed, and the final k value is a far more important determinant of II than is the size of the population at founding. The results are discussed in the context of recent empirical observations of low mitochondrial DNA (mtDNA) sequence heterogeneity in humans and expected distributions of asexually transmitted traits among sexually reproducing species.

Key words

Branching process Mitochondrial DNA evolution Lineage extinction Human populations 


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  1. Adams J, Rothman ED (1982) The estimation of phylogenetic relationships from DNA restriction patterns and selection of endonuclease cleavage sites. Proc Natl Acad Sci USA 79:3560–3564PubMedGoogle Scholar
  2. Aquadro CF, Greenberg BD (1983) Human mitochondrial DNA variation and evolution. Analysis of nucleotide sequences from seven individuals. Genetics 103:287–312PubMedGoogle Scholar
  3. Avise JC, Lansman RA (1983) Polymorphism of mitochondrial DNA in populations of higher animals. In: Nei M, Koehn RK (eds) Evolution of genes and proteins. Sinauer, Sunderland, Massachusetts, p. 147Google Scholar
  4. Avise JC, Giblin-Davidson C, Laerm J, Patton JC, Lansman RA (1979) Mitochondrial DNA clones and matriarchal phylogeny within and among geographic populations of the pocket gopher,Geomys pinetis. Proc. Natl Acad Sci USA 76:6694–6698PubMedGoogle Scholar
  5. Avise JC, Shapira JF, Daniel SW, Aquadro CF, Lansman RA (1983) Mitochondrial DNA differentiation during the speciation process inPeromyscus. Mol Biol Evol 1:38–56PubMedGoogle Scholar
  6. Brown WM (1980) Polymorphism in mitochondrial DNA of humans as revealed by restriction endonuclease analysis. Proc Natl Acad Sci USA 77:3605–3609PubMedGoogle Scholar
  7. Brown WM (1983) Evolution of animal mitochondrial DNA. In: Nei M, Koehn RK (eds) Evolution of genes and proteins. Sinauer, Sunderland, Massachusetts, p 62Google Scholar
  8. Brown WM, George M Jr, Wilson AC (1979) Rapid evolution of animal mitochondrial DNA. Proc Natl Acad Sci USA 76:1967–1971PubMedGoogle Scholar
  9. Cavalli-Sforza LL, Bodmer WF (1971) The genetics of human populations. WH Freeman, San FranciscoGoogle Scholar
  10. Chapman RW, Stephens JC, Lansman RA, Avise JC (1982) Models of mitochondrial DNA transmission genetics and evolution in higher eucaryotes. Genet Res 40:41–57PubMedGoogle Scholar
  11. Crow JF, Kimura M (1970) An introduction to population genetics theory. Harper & Row, New YorkGoogle Scholar
  12. Deevey ES Jr (1960) The human population. Sci Am 203:194–204Google Scholar
  13. Ehrlich PR, Ehrlich AH (1970) Population, resources, environment. WH Freeman, San FranciscoGoogle Scholar
  14. Farris JS (1974) Formal definitions of paraphyly and polyphyly. Syst Zool 23:548–554Google Scholar
  15. Ferris SD, Wilson AC, Brown WM (1981) Evolutionary tree for apes and humans based on cleavage maps of mitochondrial DNA. Proc Natl Acad Sci USA 78:2432–2436PubMedGoogle Scholar
  16. Fisher RA (1930) The genetical theory of natural selection. Clarendon Press, OxfordGoogle Scholar
  17. Haldane JBS (1927) A mathematical theory of natural and artificial selection V. Selection and mutation. Proc Cambridge Philos Soc 23:838–844Google Scholar
  18. Harris T (1963) The theory of branching processes. Springer-Verlag, BerlinGoogle Scholar
  19. Kojima K-I, Kelleher TM (1962) Survival of mutant genes. Am Nat 96:329–346CrossRefGoogle Scholar
  20. Lansman RA, Avise JC, Huettel MD (1983a) Critical experimental test of the possibility of “paternal leakage” of mitochondrial DNA. Proc Natl Acad Sci USA 80:1969–1971PubMedGoogle Scholar
  21. Lansman RA, Avise JC, Aquadro CF, Shapira JF, Daniel SW (1983b) Extensive genetic variation in mitochondrial DNAs among geographic populations of the deer mouse,Peromyscus maniculatus. Evolution 37:1–16Google Scholar
  22. Li CC (1955) Population genetics. University of Chicago Press, ChicagoGoogle Scholar
  23. Li W-H, Nei M (1977) Persistence of common alleles in two related populations or species. Genetics 86:901–914PubMedGoogle Scholar
  24. Lotka AJ (1931a) Population analysis—the extinction of families. I. J Wash Acad Sci 21:377–380Google Scholar
  25. Lotka AJ (1931b) Population analysis-the extinction of families. II. J Wash Acad Sci 21:453–459Google Scholar
  26. Powell JR (1983) Interspecific cytoplasmic gene flow in the absence of nuclear gene flow: evidence fromDrosophila. Proc Natl Acad Sci USA 80:492–495PubMedGoogle Scholar
  27. Ross SM (1970) Applied probability models with optimization applications. Holden-Day, San FranciscoGoogle Scholar
  28. Schaffer H (1970) The fate of neutral mutants as a branching process. In: Kojima K (ed) Mathematical topics in population genetics. Springer-Verlag, New York, p 317Google Scholar
  29. Spiess EB (1977) Genes in populations. John Wiley & Sons, New YorkGoogle Scholar
  30. Templeton AR (1983) Phylogenetic inference from restriction endonuclease cleavage site maps with particular reference to the evolution of humans and the apes. Evolution 37:221–244Google Scholar
  31. Wiley EO (1981) Phylogenetics, John Wiley & Sons, New YorkGoogle Scholar

Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • John C. Avise
    • 1
  • Joseph E. Neigel
    • 1
  • Jonathan Arnold
    • 1
  1. 1.Department of Molecular and Population GeneticsUniversity of GeorgiaAthensUSA

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