Dating chicks: Calibration and discrimination in a nonlinear multivariate hierarchical growth model

The motivation for this work was to investigate the possibility of accurately determining the age of a tern chick using easily obtained body measurements. We describe the construction of a nonlinear multivariate hierarchical model for chick growth and show how it can be estimated using Markov chain...

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Bibliographic Details
Published in:Journal of agricultural, biological, and environmental statistics Vol. 10; no. 3; pp. 306 - 320
Main Authors: Jones, G, Keedwell, R.J, Noble, A.D.L, Hedderley, D.I
Format: Journal Article
Language:English
Published: Washington, DC American Statistical Association and the International Biometric Society 01-09-2005
American Statistical Association
International Biometric Society
Springer Nature B.V
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Summary:The motivation for this work was to investigate the possibility of accurately determining the age of a tern chick using easily obtained body measurements. We describe the construction of a nonlinear multivariate hierarchical model for chick growth and show how it can be estimated using Markov chain Monte Carlo techniques. A simple extension of the analysis allows for estimation of the ages of unknown chicks. Posterior distributions of the unknown ages are derived, so that the accuracy of age determination can be examined. We further extend our model and analysis to include the possibility that chicks fall into distinct groups with different growth characteristics. The technique is illustrated using data on the weight and wing length of black-fronted terns from the Ohau River, New Zealand. It is found that dating to within one day is possible, but only in some areas of the data space. The concept of "braiding" of multivariate growth curves is introduced to explain the varying accuracy of age determination.
ISSN:1085-7117
1537-2693
DOI:10.1198/108571105X59035