Predicting metapopulation lifetime from macroscopic network properties

Mathematical Biosciences

Volumn 218, Issue 1, 2009, Pages 59-71

  Drechsler, Martin ^a  

^a HELMHOLTZ CENTRE FOR ENVIRONMENTAL RESEARCH UFZ   (Germany)

Author keywords

Aggregation; Approximation formula; Habitat network; Mean life time; Metapopulation; Spatial heterogeneity

Indexed keywords

AGGREGATION; APPROXIMATION FORMULA; HABITAT NETWORK; MEAN LIFE TIME; METAPOPULATION; SPATIAL HETEROGENEITY;

FORESTRY; OCEAN HABITATS; PROBABILITY DENSITY FUNCTION;

ECOLOGY;

DISPERSAL; METAPOPULATION; PATCH DYNAMICS; PATCH SIZE; PREDICTION; SPATIAL VARIATION; SURVIVAL;

ANIMALS; CONSERVATION OF NATURAL RESOURCES; ECOSYSTEM; MODELS, BIOLOGICAL; POPULATION DYNAMICS;

EID: 60249098137     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mbs.2008.12.004     Document Type: Article

References (34)

1. Hanski I. Metapopulation Ecology (1999), Oxford University Press, New York
2. Haight R.G., Cypher B., Kelly P.A., Phillips S., Possingham H.P., and Ralls R. Optimizing habitat protection using demographic models of population viability. Conserv. Biol. 16 (2002) 1386
3. Williams P.H., and Araújo M.B. Using probability of persistence to identify important areas for biodiversity conservation. Proc. R. Soc. Lond. B 267 (2000) 1959
4. McCarthy M.A., Thompson C.J., and Possingham H.P. Theory for designing nature reserves for single species. Am. Nat. 165 (2005) 250
5. Moilanen A. Reserve selection using nonlinear species distribution models. Am. Nat. 165 (2005) 695
6. Frank K., and Wissel K.C. Spatial aspects of metapopulation survival - from model results to rules of thumb for landscape management. Landscape Ecol. 13 (1998) 363
7. Drechsler M., Frank K., Hanski I., O'Hara R.B., and Wissel C. Ranking metapopulation extinction risk: from patterns in data to conservation management decisions. Ecol. Appl. 13 (2003) 990
8. McDonnell M.D., Possingham H.P., Ball I.R., and Cousins E.A. Mathematical methods for spatially cohesive reserve design. Environ. Model. Assess. 7 (2002) 107
9. Opdam P., Verboom J., and Pouwels R. Landscape cohesion: an index for the conservation potential of landscapes for biodiversity. Landscape Ecol. 18 (2003) 113
10. Leslie H., Ruckelshaus R., Ball I.R., Andelman S.J., and Possingham H.P. Using siting algorithms in the design of marine reserve networks. Ecol. Appl. 13 (2003) 185
11. Nicholson E., Westphal M.I., Frank K., Rochester W.A., Pressey R.L., Lindenmayer D.B., and Possingham H.P. A new method for conservation planning for the persistence of multiple species. Ecol. Lett. 9 (2006) 1049
12. Arpponen A., Heikkinen R.K., Thomas C.D., and Moilanen A. The value of biodiversity in reserve selection: representation, species weighting and benefit functions. Conserv. Biol. 19 (2005) 2009
13. Siitonen P., Tanskanen A., and Lehtinen A. Method for selection of old-forest reserves. Conserv. Biol. 16 (2002) 1398
14. Hanski I., and Ovaskainen O. The metapopulation capacity of a fragmented landscape. Nature 404 (2000) 755
15. Ovaskainen O. Long-term persistence of species and the SLOSS problem. J. Theor. Biol. 218 (2002) 419
16. Ovaskainen O., and Hanski I. How much does an individual fragment contribute to metapopulation dynamics and persistence?. Theor. Popul. Biol. 64 (2003) 481
17. Bascompte J., Possingham H.P., and Roughgarden J. Patchy populations in stochastic environments: critical number of patches for persistence. Am. Nat. 159 (2002) 128
18. Frank K., and Wissel C. A formula for the mean lifetime of metapopulations in heterogeneous landscapes. Am. Nat. 159 (2002) 530
19. Frank K. Metapopulation persistence in heterogeneous landscapes: lessons about the effect of stochasticity. Am. Nat. 165 (2005) 374
20. Grimm V., and Wissel C. The intrinsic mean time to extinction: a unifying approach to analysing persistence and viability of populations. Oikos 105 (2004) 501
21. Drechsler M., and Wissel C. Trade-offs between local and regional scale management of metapopulation. Biol. Conserv. 83 (1998) 31
22. Levins R. Some demographic and genetic consequences of environmental heterogeneity for biological control. Bull. Entomol. Soc. Am. 15 (1969) 237
23. Ovaskainen O., and Cornell S. Asymptotically exact analysis of stochastic metapopulation dynamics with explicit spatial structure. Theor. Popul. Biol. 69 (2006) 13
24. Gyllenberg M., and Hanski I. Single-species metapopulation dynamics: a structured model. Theor. Popul. Biol. 42 (1992) 35
25. Drechsler M., and Wissel C. Separability of local and regional dynamics in metapopulations. Theor. Popul. Biol. 51 (1997) 9
26. Frank K. Ecologically differentiated rules of thumb for habitat network design - lessons from a formula. Biodivers. Conserv. 13 (2004) 189
27. Vuilleumier S., and Possingham H.P. Does colonization asymmetry matter in metapopulations?. Proc. R. Soc. Lond. B 273 (2006) 1637
28. Fuller T., Mungui{dotless}́a M., Mayfield M., Sánchez-Cordero V., and Sarkar S. Incorporating connectivity into conservation planning: a multi-criteria case study from central Mexico. Biol. Conserv. 133 (2006) 131
29. Watts D.J., Muhamad R., Medina D.C., and Dodds P.S. Multiscale, resurgent epidemics in a hierarchical metapopulation model. Proc. Natl. Acad. Sci. USA 102 (2006) 11157
30. Vazquez A. Epidemic outbreaks on structured populations. J. Theor. Biol. 245 (2007) 125
31. Colizza V., and Vespignani A. Epidemic modeling in metapopulation systems with heterogeneous coupling pattern: theory and simulations. J. Theor. Biol. 251 (2008) 450
32. Münkemüller T., and Johst K. Compensatory versus over-compensatory density regulation: implications for metapopulation persistence in dynamic landscapes. Ecol. Model. 197 (2006) 171
33. Brown J.H., and Kodric-Brown A. Turnover rates in insular biogeography: effect of immigration on extinction. Ecology 58 (1977) 445
34. Polasky S., Nelson E., Camm J., Csuti B., Fackler P., Lonsdorf E., Montgomery C., White D., Arthur J., Garber-Yonts B., Haight R., Kagan J., Starfield A., and Tobalske C. Where to put things? Spatial land management to sustain biodiversity and economic returns. Biol. Conserv. 141 (2008) 1505