A simple mixed model for trend analysis in wildlife populations

Journal of Agricultural, Biological, and Environmental Statistics

Volumn 7, Issue 3, 2002, Pages 350-360

  Piepho, Hans Peter ^a   Ogutu, Joseph O ^b  

^a UNIVERSITY OF HOHENHEIM   (Germany)

^b UNIVERSITY OF THE WITWATERSRAND   (South Africa)

Author keywords

Population dynamics; Restricted maximum likelihood; Satterthwaite method; Serengeti Mara area; Thomson's gazelle (Gazella thomsoni G nther)

Indexed keywords

POPULATION DENSITY; POPULATION DYNAMICS; POPULATION MODELING; TREND ANALYSIS; UNGULATE;

GAZELLA; GAZELLA THOMSONII;

EID: 5444272860     PISSN: 10857117     EISSN: None     Source Type: Journal    
DOI: 10.1198/108571102366     Document Type: Article

References (14)

1. Giesbrecht, F. G., and Burns, J. C. (1985), "Two-Stage Analysis Based on a Mixed Model: Large Sample Asymptotic Theory and Small-Sample Simulation Results," Biometrics, 41, 477-486.
2. Hudson, J. D., and Krutchkoff, R. G. (1968), "A Monte Carlo Investigation of the Size and Power of Tests Employing Satterthwaite's Synthetic Mean Squares," Biometrika, 55, 431-433.
3. Jolly, G. M. (1969), "Sampling Methods for Aerial Censuses of Wildlife Populations," East African Agricultural and Forestry Journal, 34, 46-49.
4. Littell, R. C., Milliken, G. A., Stroup, W. W., and Wolfinger, R. D. (1996), SAS System for Mixed Models, Cary: SAS Institute.
5. Longford, N. (1993), Random Coefficient Models, Oxford: Oxford University Press.
6. McLean, R. A., Sanders, W. L., and Stroup, W. W. (1991), "A Unified Approach to Mixed Linear Models," The American Statistician, 45, 54-64.
7. Norton-Griffiths, M. (1978), Counting Animals (2nd ed.), Nairobi: African Wildlife Foundation.
8. Ogutu, J. O. (1999), "Herbivore Dynamics in the Mara Area of Kenya: The Effects of Land Use Change, Climate and Predators," unpublished dissertation, Berlin: Humboldt Universität.
9. SAS Institute, Inc. (1997), SAS/STAT Software: Changes and Enhancements Through Release 6.12, Cary, NC: SAS Institute.
10. Satterthwaite, F. E. (1946), "An Approximate Distribution of Estimates of Variance Components," Biometrics Bulletin, 2, 110-114.
11. Searle, S. R., Casella, G., and McCulloch, C. E. (1992), Variance Components, New York: Wiley.
12. Van Leeuwen, D. M., Murray, L. W., and Urquhart, N. S. (1996), "A Mixed Model With Both Fixed and Random Trend Components Across Time," Journal of Agricultural, Biological, and Environmental Statistics, 1, 435-453.
13. Verdooren, L. R. (1982), "How Large is the Probability for the Estimate of a Variance Component to be Negative," Biometrical Journal, 24, 339-360.
14. Wolfinger, R. D. (1996), "Heterogeneous Variance-Covariance Structures for Repeated Measures," Journal of Agricultural, Biological, and Environmental Statistics, 1, 205-230.