A stochastic dynamic programming model for the management of the saiga antelope

Ecological Applications

Volumn 7, Issue 1, 1997, Pages 130-142

  Milner Gulland, E J ^a  

^a UNIVERSITY OF WARWICK   (United Kingdom)

Author keywords

Horns; Kazakhstan; Management model; Poaching; Population dynamics; Russia; Saiga antelope; Saiga tatarica; Sex ratio

Indexed keywords

POPULATION DYNAMICS; SAIGA ANTELOPE; STOCHASTIC DYNAMIC PROGRAMMING; WILDLIFE MANAGEMENT;

SAIGA TATARICA;

EID: 0030616663     PISSN: 10510761     EISSN: None     Source Type: Journal    
DOI: 10.1890/1051-0761(1997)007[0130:ASDPMF]2.0.CO;2     Document Type: Article

References (36)

1. Anderson, D. R. 1975. Optimal exploitation strategies for an animal population in a Markovian environment: a theory and an example. Ecology 56:1281-1297.
2. Bannikov, A. G., L. V. Zhirnov, L. S. Lebedeva, and A. A. Fandeev. 1961. The biology of the saiga. Moscow, Soviet Union (in Russian).
3. Beddington, J. R. 1974. Age structure, sex ratio and population density in the harvesting of natural animal populations. Journal of Applied Ecology 11:915-924.
4. Catto, G. 1976. Optimal production from a blesbok herd. Journal of Environmental Management 4:105-121.
5. Caughley, G. 1977. Analysis of vertebrate populations. John Wiley and Sons, New York, New York, USA.
6. Clark, C. W. 1990. Mathematical bioeconomics. Second edition. Princeton University Press, Princeton, New Jersey, USA.
7. Convention on international trade in endangered species of wild fauna and flora. 1973. Special supplement to IUCN [International Union for Conservation of Nature] Bulletin 4(3).
8. Fadeev, A. A., and A. Shaad. 1978. The exploitation of saiga in Kazakhstan. Okhota i okhotnichiye khozyaystvo 10:10-12 (in Russian).
9. Fadeev, A. A., and A. A. Sludsky. 1982. Saiga in Kazakhstan. Alma Ata, Soviet Union (in Russian).
10. Fairall, N. 1985. Production parameters of the impala. South African Journal of Animal Science 13:176-179.
11. Flint, V. E., and O. Pereladova. 1993. Endangered species conservation in Russia. Species 20:38-39.
12. Fowler, C. W. 1984. Density dependence in cetacean populations. Report of the International Whaling Commission, Special Issue 6:373-379.
13. Ginsberg, J. R., and E. J. Milner-Gulland. 1994. Sex-biased harvesting and population dynamics in ungulates: implications for conservation and sustainable use. Conservation Biology 8:157-166.
14. Heptner, V. G., A. A. Nasimovich, and A. G. Bannikov. 1961. Mammals of the Soviet Union. Volume 1. Moscow, Soviet Union (in Russian).
15. Houston, A. I., and J. M. McNamara. 1988. A framework for the functional analysis of behaviour. Behavioral and Brain Sciences 11:117-163.
16. Jaquette, D. L. 1970. A stochastic model for the optimal control of epidemics and pest populations. Mathematical Biosciences 8:343-354.
17. Lyudvigovich, R. V. 1974. Biology of the saigas of Barsa-Kelmes island. Dissertation. University of Moscow, Soviet Union (in Russian).
18. Mace, R. H., and A. I. Houston. 1989. Pastoralist strategies for survival in unpredictable environments: a model of herd composition that maximises household viability. Agricultural Systems 31:185-204.
19. Mangel, M., and C. W. Clark. 1988. Dynamic modeling in behavioral ecology. Princeton University Press, Princeton, New Jersey, USA.
20. Milner-Gulland, E. J. 1991. The exploitation of certain large mammals for trade: implications for management. Dissertation. University of London, London, UK.
21. _. 1994. A population model for the management of the saiga antelope. Journal of Applied Ecology 31:25-39.
22. Milner-Gulland, E. J., A. B. Bekenov, and Iu. A. Grachov. 1995. What is really threatening the saiga antelope? Nature 377:488-489.
23. Pallas, P. 1797. Travels through various provinces of the Russian empire. Volume 3, parts I and 2. Saint Petersburg, Russia (in Russian).
24. Puterman, M. L., editor. 1978. Dynamic programming and its applications. Academic Press, New York, New York, USA.
25. _. 1994. Markov decision processes: discrete stochastic dynamic programming. Wiley Interscience, New York, New York, USA.
26. Reed, W. J. 1974. A stochastic model for the economic management of a renewable animal resource. Mathematical Biosciences 22:313-337.
27. Shoemaker, C. A. 1982. Optimal integrated control of univoltine pest populations with age structure. Operations Research 30:40-61.
28. Shoemaker, C. A., and S. A. Johnson. 1987. Stochastic nonlinear optimal control of populations: computational difficulties and possible solutions. C. Castillo-Chaves, S. A. Levin, and C. A. Shoemaker, editors. Mathematical approaches to problems in resource management and epidemiology. Lecture Notes in Biomathematics 81:67-81.
29. Sludsky, A. A. 1963. Dzhuts in the Eurasian steppes and deserts. Works of the Institute of Zoology of the Academy of Sciences of the Kazakh Soviet Socialist Republic (In Russian). Alma-Ata, Soviet Union.
30. TRAFFIC. 1995. From steppe to store: a review of the trade in saiga antelope horn. TRAFFIC, Cambridge, UK.
31. Vinogradov, B. V., V. V. Lebedev, K. N. Kulik, and A. N. Kuptsov. 1985. Measurement of ecological desertification from repeat aerospace photographs. Proceedings of the Academy of Sciences of the USSR 285:1-6.
32. Walters, C. J. 1978. Some dynamic programming applications in fisheries management. Pages 233-246 in M. L. Puterman, editor. Dynamic programming and its applications. Academic Press, New York, New York, USA.
33. _. 1986. Adaptive management of renewable resources. Macmillan. New York, New York, USA.
34. Zaikin, S. A., and L. V. Zhirnov 1989. Forecasting the dynamics of the Kalmyk saiga population on the basis of a mathematical model. Ekologiya 3:45-52 (in Russian).
35. Zhirnov, L. V. 1982a. Modelling the dynamics of a saiga population. (In Russian.) Izvestiya Timiryazevskaya Selsko-Khozyaiskevo Akademiya 5:157-165.
36. _. 1982b. Revival. Moscow, Soviet Union (in Russian).