Skip to main content
Log in

A Two-Locus Forensic Match Probability for Subdivided Populations

  • Published:
Genetica Aims and scope Submit manuscript

Abstract

A two-locus match probability is presented that incorporates the effects of within-subpopulation inbreeding (consanguinity) in addition to population subdivision. The usual practice of calculating multi-locus match probabilities as the product of single-locus probabilities assumes independence between loci. There are a number of population genetics phenomena that can violate this assumption: in addition to consanguinity, which increases homozygosity at all loci simultaneously, gametic disequilibrium will introduce dependence into DNA profiles. However, in forensics the latter problem is usually addressed in part by the careful choice of unlinked loci. Hence, as is conventional, we assume gametic equilibrium here, and focus instead on between-locus dependence due to consanguinity. The resulting match probability formulae are an extension of existing methods in the literature, and are shown to be more conservative than these methods in the case of double homozygote matches. For two-locus profiles involving one or more heterozygous genotypes, results are similar to, or smaller than, the existing approaches.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Ayres, K.L., 1998. Measuring genetic correlations within and between loci, with implications for disequilibrium mapping and forensic identification. PhD Thesis, The University of Reading.

  • Ayres, K.L. & D.J. Balding, 1998. Measuring departures from Hardy-Weinberg: A Markov chain Monte Carlo method for estimating the inbreeding coefficient. Heredity 80: 769–777.

    Article  PubMed  Google Scholar 

  • Ayres, K.L. & A.D.J. Overall, 1999. Allowing for withinsubpopulation inbreeding in forensic match probabilities. Forensic Sci. Int. 103: 207–216.

    Article  Google Scholar 

  • Balding, D.J., M. Greenhalgh & R.A. Nichols, 1997. Population genetics of STR loci in Caucasians. Int. J. Legal Med. 108: 300– 305.

    Google Scholar 

  • Balding, D.J. & R.A. Nichols, 1994. DNA profile match probability calculation: how to allow for population stratification, relatedness, database selection and single bands. Forensic Sci. Int. 64: 125–140.

    Article  PubMed  CAS  Google Scholar 

  • Balding, D.J. & R.A. Nichols, 1995. A method for quantifying differentiation between populations at multi-allelic loci and its implications for investigating identity and paternity. Genetica 96: 3–12.

    Article  PubMed  CAS  Google Scholar 

  • Cockerham, C.C., 1973. Analyses of gene frequencies. Genetics 74: 679–700.

    Google Scholar 

  • Cockerham, C.C. & B.S. Weir, 1968. Sib mating with two linked loci. Genetics 60: 629–640.

    PubMed  CAS  Google Scholar 

  • Donnelly, P., 1995. Nonindependence of matches at different loci in DNA profiles: quantifying the effect of close relatives on the match probability. Heredity 75: 26–34.

    PubMed  Google Scholar 

  • Evett, I.W., P.D. Gill, J.K. Scranage & B.S. Weir, 1996. Establishing the robustness of Short-Tandem-Repeat statistics for forensic applications. Am. J. Hum. Genet. 58: 398–407.

    PubMed  CAS  Google Scholar 

  • Foreman, L.A., I.W. Evett & A.F.M. Smith, 1997. Bayesian analysis of deoxyribonucleic Acid profiling data in forensic identification applications (with discussion). J. Roy. Statist. Soc. A 160: 429–469.

    Article  Google Scholar 

  • Gamerman, D., 1997. Markov chain Monte Carlo. London: Chapman & Hall.

    Google Scholar 

  • Hill, W.G., H.A. Babiker, L.C. Ranford-Cartwright & D. Walliker, 1995. Estimation of inbreeding coefficients from genotypic data on multiple alleles, and application to estimation of clonality in malaria parasites. Gen. Res. (Camb.) 65: 53–61.

    CAS  Google Scholar 

  • Lander, E.S. & D. Botstein, 1987. Homozygosity mapping: A way to map human recessive traits with the DNA of inbred children. Science 236: 1567–1570.

    PubMed  CAS  Google Scholar 

  • National Research Council, 1996. The Evaluation of Forensic DNA Evidence. Washington, DC, National Academy Press.

    Google Scholar 

  • Rannala, B. & J.A. Hartigan, 1996. Estimating gene flow in island populations. Gen. Res. (Camb.) 67: 147–158.

    CAS  Google Scholar 

  • Shoemaker, J., I. Painter & B.S. Weir, 1998. A Bayesian characterization of Hardy–Weinberg disequilibrium. Genetics 149: 2079–2088.

    PubMed  CAS  Google Scholar 

  • Slatkin, M., 1985. Gene flow in natural populations. Ann. Rev. Ecol. Syst. 16: 393–430.

    Article  Google Scholar 

  • Zaykin, D., L.A. Zhivotovsky & B.S. Weir, 1995. Exact tests for association between alleles at arbitrary numbers of loci. Genetica 96: 169–178.

    Article  PubMed  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ayres, K.L. A Two-Locus Forensic Match Probability for Subdivided Populations. Genetica 108, 137–143 (2000). https://doi.org/10.1023/A:1004152931349

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1004152931349

Navigation