A note on the dominance hierarchy index

Max D. Morris, C. Alex McMahan

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


The realized (observed) value of Landau's dominance hierarchy index is examined. Under a model of constant pairwise dominance probabilities, the observed index is shown to be a strongly consistent estimator of the underlying (true) index. However, a large number of encounters between animals is shown to be required in order to reduce bias and variance to practical levels except when the pairwise dominance probabilities are near one.

Original languageEnglish (US)
Pages (from-to)739-746
Number of pages8
JournalBulletin of Mathematical Biology
Issue number5
StatePublished - Sep 1980

ASJC Scopus subject areas

  • Neuroscience(all)
  • Immunology
  • Mathematics(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Environmental Science(all)
  • Pharmacology
  • Agricultural and Biological Sciences(all)
  • Computational Theory and Mathematics


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