Dispersal and settling of translocated populations: A general study and a New Zealand amphibian case study

Journal of Mathematical Biology

Volumn 55, Issue 4, 2007, Pages 575-604

  Trewenack, Abbey J ^a   Landman, Kerry A ^a   Bell, Ben D ^b  

^a UNIVERSITY OF MELBOURNE   (Australia)

^b VICTORIA UNIVERSITY OF WELLINGTON   (New Zealand)

Author keywords

Conservation; Dispersal; Leiopelma pakeka; Multi species continuum model; Population; Settling; Translocation

Indexed keywords

ANIMAL; ARTICLE; BIOLOGICAL MODEL; ENVIRONMENTAL PROTECTION; FROGS AND TOADS; GROWTH, DEVELOPMENT AND AGING; METHODOLOGY; NEW ZEALAND; POPULATION DYNAMICS;

ANIMALS; ANURA; CONSERVATION OF NATURAL RESOURCES; MODELS, BIOLOGICAL; NEW ZEALAND; POPULATION DYNAMICS;

AMPHIBIA; ANIMALIA; ANURA; LEIOPELMA PAKEKA;

EID: 34548576868     PISSN: 03036812     EISSN: 14321416     Source Type: Journal    
DOI: 10.1007/s00285-007-0096-4     Document Type: Article

References (36)

1. Armstrong D., Soderquist T. and Southgate R. (1995). Designing experimental reintroductions as experiments. In: Serena, M. (eds) Reintroduction Biology of Australian and New Zealand Fauna., pp 27-29. Surrey Beatty and Sons, Chipping Norton
2. Armstrong D. and McLean I. (1995). New Zealand translocations: theory and practice. Pacific Conserv. Biol. 2: 39-54
3. Bell B.D. and Merton D.V. (2002). Critically endangered bird populations and their management. In: Norris, K. and Pain, D. (eds) Conserving Bird Biodiversity: General Principles and their Application, pp 105-138. Cambridge University Press, Cambridge
4. Bell B.D., Pledger S. and Dewhurst P.L. (2004). The fate of a population of the endemic frog Leiopelma pakeka (Anura : Leiopelmatidae) translocated to restored habitat on Maud Island, New Zealand. New Zealand J. Zool. 31(2): 123-131
5. Bell B.D., Daugherty C.H. and Hay J.M. (1998). Leiopelma pakeka n. sp. (Anura: Leiopelmatidae), a cryptic species of frog from Maud Island, New Zealand, and a reassessment of the conservation status of Leiopelma hamiltoni from Stephens Island. J. R. Soc. New Zealand 28: 39-54
6. Bertsch M., Gurtin M.E., Hilhorst D. and Peletier L.A. (1984). On interacting populations that disperse to avoid crowding - the effect of a sedentary colony. J. Math. Biol. 19(1): 1-12
7. Bertsch M., Gurtin M.E., Hilhorst D. and Peletier L.A. (1985). On interacting populations that disperse to avoid crowding-preservation of segregation. J. Math. Biol. 23(1): 1-13
8. Bridgewater P. and Walton D. (1995). The species triage: are we trying to retrieve the man overboard while the ship sinks?. In: Serena, M. (eds) Reintroduction biology of Australian and New Zealand fauna., pp ix-xii. Surrey Beatty and Sons, Chipping Norton
9. Broadbent S.R. and Kendall D.G. (1953). The random walk of Trichostrongylus retortaeformis. Biometrics 9(4): 460-466
10. Edelstein-Keshet L. (1986). Mathematical theory for plant herbivore systems. J. Math. Biol. 24(1): 25-58
11. Edelstein-Keshet L. (1988). Mathematical Models in Biology, 1st edn. McGraw Hill, New York
12. Gurney W.S.C. and Nisbet R.M. (1975). Regulation of inhomogeneous populations. J. Theor. Biol. 52(2): 441-457
13. Holmes E.E., Lewis M.A., Banks J.E. and Veit R.R. (1994). Partial-differential equations in ecology-spatial interactions and population-dynamics. Ecology 75(1): 17-29
14. (IUCN), W.C.U.: The IUCN position statement on translocation of living organisms: introductions, re-introductions and re-stocking. World Conservation Union (IUCN) (1987)
15. Keller E.F. and Segel L.A. (1971). Model for chemotaxis. J. Theor. Biol. 30(2): 225-234
16. Kot M., Lewis M. and van den Driessche P. (1996). Dispersal data and the spread of invading organisms. Ecology 77(7): 2027-2042
17. Lee J.S.F. and Waldman B. (2002). Communication by fecal chemosignals in an archaic frog, Leiopelma hamiltoni. Copeia 2(3): 679-686
18. Lindenmayer D. (1995). Some ecological considerations and computer-based approaches for the identification of potentially suitable release sites for reintroduction programmes. In: Serena, M. (eds) Reintroduction biology of Australian and New Zealand fauna., pp 1-5. Surrey Beatty and Sons, Chipping Norton
19. Morris W. and Kareiva P. (1991). How insect herbivores find suitable host plants: The interplay between random and nonrandom movement. In: Bernays, E. (eds) Insect-Plant Interactions, vol 3., pp. CRC Press, Florida
20. Murray J.D. (1989). Mathematical Biology, 1st edn. Springer, New York
21. Neubert M.G., Kot M. and Lewis M.A. (1995). Dispersal and pattern formation in a discrete-time predator-prey model. Theor. Population Biol. 48(1): 7-43
22. Newman, D.G.: Native Frog (Leiopelma spp.) Recovery Plan. Threatened Species Recovery Plan No. 18, Department of Conservation, Wellington, 40 pp. (1996)
23. Namba T. (1989). Competition for space in a heterogeneous environment. J. Math. Biol. 27(1): 1-16
24. Okubo A. (1980). Diffusion and Ecological Problems: Mathematical Models, 1st edn. Springer, New York
25. Pattle R. (1959). Diffusion from an instantaneous point source with a concentration-dependent coefficient. Q. J. Mech. Appl. Math. 12(4): 407-409
26. Rout T., Hauser C. and Possingham H. (2007). Minimise long-term loss or maximise short-term gain?: Optimal translocation strategies for threatened species. Ecol. Model. 201(1): 67-74
27. Saunders A. (1995). Translocations in New Zealand: an overview. In: Serena, M. (eds) Reintroduction biology of Australian and New Zealand fauna, pp 43-46. Surrey Beatty and Sons, Chipping Norton
28. Shigesada N. (1980). Spatial distribution of dispersing animals. J. Math. Biol. 9: 85-96
29. Shigesada N., Kawasaki K. and Teramoto E. (1979). Spatial segregation of interacting species. J. Theor. Biol. 79(1): 83-99
30. Skellam J.G. (1951). Random dispersal in theoretical populations. Biometrika 38(1-2): 196-218
31. Tenhumberg B., Tyre A.J., Shea K. and Possingham H.P. (2004). Linking wild and captive populations to maximize species persistence: Optimal translocation strategies. Conserv. Biol. 18(5): 1304-1314
32. Tocher M. and Newman D. (1997). Leaps and bounds - the conservation of New Zealand's native frogs. Forest Bird 285: 14-20
33. Waldman B. and Bishop P.J. (2004). Chemical communication in an archaic anuran amphibian. Behav. Ecol. 15(1): 88-93
34. Watson G.N. and Maller R.A. (1990). A Treatise on the Theory of Bessel Functions 2nd edition. Cambridge University Press, Cambridge
35. Williams E.J. (1961). Distribution of larvae of randomly moving insects. Aust. J. Biol. Sci. 14(4): 598-604
36. Witelski T.P. (1997). Segregation and mixing in degenerate diffusion in population dynamics. J. Math. Biol. 35(6): 695-712