Modelling herbivore population dynamics in the Amboseli National Park, Kenya: Application of spatial aggregation of variables to derive a master model

Ecological Complexity

Volumn 10, Issue , 2012, Pages 42-51

  Mose, Victor N ^a,b   Nguyen Huu, Tri ^b,c   Auger, Pierre ^b   Western, David ^a  

^a AFRICAN CONSERVATION CENTRE   (Kenya)

^b Sorbonne Universités   (France)

^c ENS Lyon   (France)

Author keywords

Aggregation of variables; Competition model; Herbivorous; Large parks

Indexed keywords

ANIMALIA; EQUUS SUBG. HIPPOTIGRIS;

EID: 84860463153     PISSN: 1476945X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ecocom.2012.02.002     Document Type: Article

References (20)

1. Auger P., Bravo de la Parra R., Poggiale J.-C., Sanchez E., Sanz L. Aggregation methods in dynamical systems variables and applications in population and community dynamics. Phys. Life Rev. 2008, 5:79-105.
2. Auger P., Bravo de la Parra R., Poggiale J.-C., Sanchez E., Nguyen Huu T. Aggregation of variables and applications to population dynamics. Structured Population Models in Biology and Epidemiology. Lecture Notes in Mathematics, vol. 1936, Mathematical Biosciences Subseries 2008, 209-263. P. Magal, S. Ruan (Eds.).
3. Auger P., Poggiale J.-C., Sanchez E., 2012. A review on spatial aggregation methods. Ecol. Complex. 10, 12-25.
4. Auger P., Roussarie R. Complex ecological models with simple dynamics, From individuals to populations. Acta Biotheor 1994, 42:111-136.
5. Auger P., Poggiale J.-C. Emerging properties in population dynamics with different time scales. J. Biol. Syst. 1995, 3(2):591-602.
6. Blaxter K.L. Working Party on Nutrient Requirements of Ruminants 1980, Commonwealth Agricultural Bureaux for the Agriculture research Council.
7. Carr J. Applications of Centre Manifold Theory 1981, Springer-Verlag, NewYork.
8. El Abdllaoui A., Auger P., Kooi B.W., Bravo de la Parra R., Mchich R. Effects of density-dependent migrations on stability of a two-patch predator-prey model. Math. Biosci. 2007, 210(1):335-354.
9. Fancy S.G., White R.G. Incremental cost of activity. Bioenergetics of Wild Herbivores 1985, CRC Press, Boca Raton, FI, USA. R. Hudson, R. White (Eds.).
10. Fenichel N. Persistence and smoothness of invariant manifolds for flows. Indiana Univ. Math. J. 1971, 21(3):193-226.
11. Hirsch M.W., Pugh C.C., Schub M. Invariant manifolds. Bull. Am. Nat. 1970, 153:1015-1019.
12. Illius A.W., Gordon L.J. Modeling the nutritional ecology in ungulate herbivores: evolution of body size and competitive interactions. Oecologia 1992, 89:428-434.
13. Iwasa Y., Andreasen V., Levin S. Aggregation in model ecosystems I. Perfect aggregation. Ecol. Model. 1987, 37:287-302.
14. Iwasa Y., Levin S., Andreasen V. Aggregation in model ecosystems II. Approximate aggregation. Math. Med. Biol. 1989, 6:1-23.
15. Kshatriya, M., 1998. Spatial distribution of individuals based on ideal free distribution. PhD thesis, University of Miami.
16. Ludwig F., De Kroon H., Prins H.H. Impact of savanna trees on forage quality for large African herbivore. Oecologia 2008, 155:487-496.
17. Morozov A., Sen M., Banerjee M. Top-down control in a patchy environment, Revisiting the stabilizing role of food-dependent predator dispersal. Theor. Popul. Biol. 2012, 81:9-19.
18. Murray M.G. Specific nutrient requirement and migrations of wildebeest. Serengeti II: Dynamics, management and conservation of an ecosystem 1995, 231-256. The university of Chicago Press Chicago, III. A.R.E. Sinclair, P. Arcese (Eds.).
19. Western D., Nightingale D.L.M. Environmental change on the vulnerability of pastoralist to drought: The Maasai in Amboseli, Kenya, Africa Environment Outlook Case Studies, United Nations Environment Programme. Nairobi 2004.
20. Western D. Water availability and its influence on the structure and dynamics of the savanna large mammal community. E. Afr. Wildlife J. 1975, 13:265-286.