A mixed model for investigating a population of asymptotic growth curves using restricted B-splines
- 133 Downloads
We introduce a new method for modeling a population of growth curves with B-splines, adapting the usual regression spline basis to ensure a horizontal upper asymptote in all fitted curves. The new method is easily implemented in standard statistical software. We motivate and illustrate our method using data on the growth of Brown Kiwi (Apteryx mantelli) in the North Island of New Zealand, including a time-dependent covariate to investigate the effects of different rearing environments on patterns of weight increase.
Key WordsAsymptotic growth Fixed and random effects Functional data analysis Hierarchical model Regression spline
Unable to display preview. Download preview PDF.
- Colbourne, R., Bassett, S., Billing, T., McCormick, H., McLennan, J., Nelson, A., and Robertson, H. (2005), The Development of Operation Nest Egg as a Tool in the Conservation Management of Kiwi. Science for Conservation, Vol. 259, Wellington, New Zealand: Department of Conservation.Google Scholar
- Davidian, M., and Giltinan, D. M. (1998), Nonlinear Models for Repeated Measures Data, London: Chapman & Hall.Google Scholar
- DeBoor, C. (1978), A Practical Guide to Splines, New York: Springer-Verlag.Google Scholar
- Huynen, L., Lambert, D. M., McLennan, J. A., Rickard, C., and Robertson, C. (2003), “A DNA Test for Sex Assignment in Kiwi (Apteryx spp.),” Notornis, 50, 231–233.Google Scholar
- McLennan, J. A., Dew, L., Miles, J., Gillingham, N., and Waiwai, R. (2004), “Size Matters: Predation Risk and Juvenile Growth in North Island Brown Kiwi (Apteryx mantelli),” New Zealand Journal of Ecology, 28, 241–250.Google Scholar