Estimating Intermittent Individual Spawning Behavior via Disaggregating Group Data

Joel Nishimura, Rebecca Smith, Kathleen Jensen, Gerald Ankley, Karen Watanabe-Sailor

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In order to understand fish biology and reproduction, it is important to know the fecundity patterns of individual fish, as frequently established by recording the output of mixed-sex groups of fish in a laboratory setting. However, for understanding individual reproductive health and modeling purposes it is important to estimate individual fecundity from group fecundity. We created a multistage method that disaggregates group-level data into estimates for individual-level clutch size and spawning interval distributions. The first stage of the method develops estimates of the daily spawning probability of fish. Daily spawning probabilities are then used to calculate the log likelihood of candidate distributions of clutch size. Selecting the best candidate distribution for clutch size allows for a Monte Carlo resampling of annotations of the original data which state how many fish spawned on which day. We verify this disaggregation technique by combining data from fathead minnow pairs, and checking that the disaggregation method reproduced the original clutch sizes and spawning intervals. This method will allow scientists to estimate individual clutch size and spawning interval distributions from group spawning data without specialized or elaborate experimental designs.

Original languageEnglish (US)
Pages (from-to)1-14
Number of pages14
JournalBulletin of Mathematical Biology
DOIs
StateAccepted/In press - Dec 11 2017
Externally publishedYes

Fingerprint

Clutch Size
Clutches
Fish
clutch size
Fishes
spawning
Fertility
Disaggregation
fecundity
fish
Estimate
Interval
Cyprinidae
Reproductive Health
reproductive health
Pimephales promelas
Resampling
methodology
fish biology
Experimental design

Keywords

  • Deconvolution
  • Disaggregation
  • Inverse problems
  • Maximum likelihood

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

Cite this

Estimating Intermittent Individual Spawning Behavior via Disaggregating Group Data. / Nishimura, Joel; Smith, Rebecca; Jensen, Kathleen; Ankley, Gerald; Watanabe-Sailor, Karen.

In: Bulletin of Mathematical Biology, 11.12.2017, p. 1-14.

Research output: Contribution to journalArticle

Nishimura, Joel ; Smith, Rebecca ; Jensen, Kathleen ; Ankley, Gerald ; Watanabe-Sailor, Karen. / Estimating Intermittent Individual Spawning Behavior via Disaggregating Group Data. In: Bulletin of Mathematical Biology. 2017 ; pp. 1-14.
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