A plant-capture approach for population size estimation in continuous time.

Ian Britton James Goudie, KH Pollock, J Ashbridge

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)

Abstract

A planted population of known size is added to a target population of unknown size. The populations behave independently, and, for each population, sightings of any member occur according to a Poisson process, which may be time-inhomogeneous. Assuming that the Poisson processes are independent, and the intensity function is the same for all individuals, consideration is given to estimators of the size of the target population, based on observation of the augmented population for a fixed time. The results obtained suggest that the use of plants is beneficial, and that the harmonic mean estimator performs more satisfactorily than other estimators. The robustness of this performance is investigated in the case where the intensity function of the plants may differ from that of individuals from the target population.

Original languageEnglish
Pages (from-to)433-451
Number of pages19
JournalCommunications in Statistics: Theory and Methods
Volume27
Publication statusPublished - 1998

Keywords

  • harmonic mean estimator
  • inhomogeneous Poisson process
  • mark-recapture
  • maximum likelihood
  • non-central Stirling number
  • occupancy distributions
  • Petersen estimator
  • software reliability
  • SAMPLE
  • NUMBER
  • SYSTEM

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