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Classifying, identifying and enumerating arbitrary relationships.

A Thomas1

  • 1School of Mathematical Sciences, University of Bath.

Annals of Human Biology
|May 1, 1988
PubMed
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A new integer-based scheme classifies relationships within human genetic pedigrees, aiding studies of inbreeding and mating patterns. This method accounts for complex relationships and has been implemented in C and Algol 68.

Area of Science:

  • Human genetics
  • Population genetics
  • Bioinformatics

Background:

  • Analyzing relationships in human genetic isolates (pedigrees) is crucial for studies on inbreeding and mating patterns.
  • Existing methods may not fully capture the complexity of relationships in large pedigrees.

Purpose of the Study:

  • To develop a systematic method for classifying relationships between individuals in a pedigree.
  • To create an algorithm for quantifying the occurrence of specific relationships.

Main Methods:

  • A novel scheme classifies relationships using a pair of integers relative to a common ancestor.
  • The first integer denotes the relationship level; the second denotes the generational difference.
  • An algorithm was developed to count relationship occurrences, assuming recursive processing and accessible parentage data.

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Main Results:

  • The classification scheme accommodates multiplicity and half-relationships.
  • The algorithm was successfully implemented in Algol 68 and C.
  • The method was demonstrated using the complex Samaritan pedigree.

Conclusions:

  • The proposed integer-based classification scheme provides a robust framework for analyzing complex relationships in human genetic pedigrees.
  • The developed algorithm offers an efficient computational approach for quantifying relationship occurrences in genetic studies.