A modified model for projecting age-structured populations in random environments

Mathematical Biosciences

Volumn 150, Issue 1, 1998, Pages 21-41

  Runge, Michael C ^a   Moen, Aaron N ^a  

^a Northeast Regional Center for Excellence in Vector Borne Diseases   (United States)

Author keywords

Environmental stochasticity; Parameter estimation; Short term projection; Simulation; Stochastic population model; Structured population model; Vital rate distribution

Indexed keywords

DEMOGRAPHIC METHOD; METHODOLOGY; MODELING; POPULATION STRUCTURE;

AGE DISTRIBUTION; ARTICLE; COVARIANCE; GROWTH RATE; PARAMETER; POPULATION GROWTH; POPULATION MODEL; POPULATION STRUCTURE; PROBABILITY; RANDOMIZATION; SIMULATION; STOCHASTIC MODEL; SYSTEM ANALYSIS;

AGE FACTORS; COMPUTER SIMULATION; CONFIDENCE INTERVALS; CONSERVATION OF NATURAL RESOURCES; ENVIRONMENT; FERTILITY; FORECASTING; LOGISTIC MODELS; MODELS, BIOLOGICAL; MONTE CARLO METHOD; MULTIVARIATE ANALYSIS; POPULATION DYNAMICS; PROBABILITY; STOCHASTIC PROCESSES; SURVIVAL;

EID: 0031750511     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0025-5564(98)10002-0     Document Type: Article

References (25)

1. A.N. Halter, G.W. Dean, Decisions Under Uncertainty, South-Western, Cincinnati, OH, 1971.
2. Leslie P.H. On the use of matrices in certain population mathematics. Biometrika. 33:1948;183.
3. H. Caswell, Matrix Population Models: Construction, Analysis, and Interpretation, Sinauer Associates, Sunderland, MA, 1989.
4. Sykes Z.M. Some stochastic versions of the matrix model for population dynamics. J. Am. Statist. Assoc. 64:1969;111.
5. Tuljapurkar S.D. An uncertain life: Demography in random environments. Theor. Pop. Biol. 35:1989;227.
6. Boyce M.S. Population growth with stochastic fluctuations in the life table. Theor. Pop. Biol. 12:1977;366.
7. Gerrodette T., Goodman D., Barlow J. Confidence limits for population projections when vital rates vary randomly. Fish. Bull. 83:1985;207.
8. Mode C.J., Root T. Projecting age-structured populations in a random environment. Math. Biosci. 88:1988;223.
9. Tuljapurkar S.D. Population dynamics in variable environments. II. Correlated environments, sensitivity analysis, and dynamics. Theor. Pop. Biol. 21:1982;114.
10. Tuljapurkar S.D., Orzack S.H. Population dynamics in variable environments. I. Long-run growth rates and extinction. Theor. Pop. Biol. 18:1980;314.
11. Heyde C.C., Cohen J.E. Confidence intervals for demographic projections based on products of random matrices. Theor. Pop. Biol. 27:1985;120.
12. J.H. Pollard, Mathematical Models for the Growth of Human Populations, Cambridge University, New York, 1973.
13. Tuljapurkar S.D. Population dynamics in variable environments. III. Evolutionary dynamics of r-selection. Theor. Pop. Biol. 21:1982;141.
14. Daley D.J. Bias in estimating the Malthusian parameter for Leslie matrices. Theor. Pop. Biol. 15:1979;257.
15. Cohen J.E. Comparative statics and stochastic dynamics of age-structured populations. Theor. Pop. Biol. 16:1979;159.
16. Slade N.A., Levenson H. Estimating population growth rates from stochastic Leslie matrices. Theor. Pop. Biol. 22:1982;299.
17. Mode C.J., Jacobson M.E. A study of the impact of environmental stochasticity on extinction probabilities by Monte Carlo integration. Math. Biosci. 83:1987;105.
18. Gavin T.A. Why ask "why": The importance of evolutionary biology in wildlife science. J. Wildl. Manage. 55:1991;760.
19. Slade N.A., Levenson H. The effect of skewed distributions of vital statistics on growth of age-structured populations. Theor. Pop. Biol. 26:1984;361.
20. S. Ferson, RAMAS/stage. Generalized Stage-based Modeling for Population Dynamics, Applied Biomathematics, New York, 1990.
21. G.E.P. Box, G.M. Jenkins, Time Series Analysis: Forecasting and Control, Holden-Day, Oakland, CA, 1976.
22. G.W. Snedecor, W.G. Cochran, Statistical Methods, Iowa State University, Ames, IA, 1989, p. 60.
23. Lande R., Orzack S.H. Extinction dynamics of age-structured populations in a fluctuating environment. Proc. Natl. Acad. Sci. USA. 85:1988;7418.
24. R.R. Sokal, F.J. Rohlf, Biometry, Freeman, New York, 1981, p. 716.
25. P. McCullagh, J.A. Nelder, Generalized Linear Models, Chapman and Hall, New York, 1989.