Connectivity, cycles, and persistence thresholds in metapopulation networks

PLoS Computational Biology

Volumn 6, Issue 8, 2010, Pages

  Artzy Randrup, Yael ^a   Stone, Lewi ^b  

^a UNIVERSITY OF MICHIGAN   (United States)

^b TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

CIRCUIT THEORY; ECOLOGY; GRAPH THEORY; LARGE SCALE SYSTEMS;

CONSERVATION PRIORITIES; GRAPH THEORETICS; MARINE SYSTEMS; METAPOPULATION NETWORKS; METAPOPULATIONS; NETWORK STRUCTURES; QUANTITATIVE CONDITIONS; STRUCTURE CONTROL; THEORETICAL BIOLOGY; THEORETICAL ECOLOGIES;

COMPLEX NETWORKS;

ARTICLE; CONTROLLED STUDY; HABITAT PATCHINESS; HOME RANGE; MATHEMATICAL MODEL; METAPOPULATION; POPULATION CYCLE; POPULATION MIGRATION; POPULATION MOVEMENT PATTERN; POPULATION REGULATION; QUALITATIVE ANALYSIS; QUANTITATIVE ANALYSIS; SPECIES CONSERVATION; SPECIES RICHNESS;

EID: 78049441646     PISSN: 1553734X     EISSN: 15537358     Source Type: Journal    
DOI: 10.1371/journal.pcbi.1000876     Document Type: Article

References (40)

1. May RM (1972) Will a large complex system be stable? Nature 283: 413-414.
2. Armsworth PR (2002) Recruitment limitation, population regulation, and larval connectivity in reef fish metapopulations. Ecology 83: 1092-1104.
3. Hastings A, Botsford LW (2006) Persistence of spatial populations depends on returning home. Proc Natl Acad Sci USA 103: 6067-6072.
4. Fahrig L, Merriam G (1985) Habitat patch connectivity and population survival. Ecology 66: 1762-1768.
5. Holland MD, Hastings A (2008) Strong effect of dispersal network structure on ecological dynamics. Nature 456: 792-794.
6. Bastolla U, Fortuna MA, Pascual-García A, Ferrera A, Luque B, et al. (2009) The architecture of mutualistic networks minimizes competition and increases biodiversity. Nature 458: 1018-1020.
7. Bascompte J, Jordano P, Olesen JM (2006) Asymmetric coevolutionary networks facilitate biodiversity maintenance. Science 312: 431-433.
8. Bascompte J, Stouffer DB (2009) The assembly and disassembly of ecological networks. Phil Trans R Soc B 364: 1781-1787.
9. Montoya JM, Pimm SL, Ricard V, Sole RV (2006) Ecological networks and their fragility. Nature 442: 259-264.
10. Saavedra S, Reed-Tsochas F, Uzzi B (2009) A simple model of bipartite cooperation for ecological and organizational networks. Nature 457: 463-466.
11. Colizza V, Vespignani A (2007) Invasion threshold in heterogeneous metapopulation networks. Phys Rev Lett 99(14) Article Number: 148701.
12. Clauset A, Moore C, Newman MEJ (2008) Hierarchical structure and the prediction of missing links in networks. Nature 453: 98-101.
13. Artzy-Randrup Y, Fleishman SJ, Ben-Tal N, Stone L (2004) Comment on "Network Motifs: Simple Building Blocks of Complex Networks." Science 305: 1107c.
14. Barabási AL (2002) Linked: How Everything Is Connected to Everything Else, ISBN 0-452-28439-2.
15. Newman MEJ (2003) The structure and function of complex networks. SIAM Review 45: 167-256.
16. Caley MJ, Carr MH, Hixon MA, Hughes TP, Jones GP, et al. (1996) Recruitment and the local dynamics of open marine populations. Annu Rev Ecol Syst 27: 477-500.
17. Cowen RK, Sponaugle S (2009) Larval Dispersal and Marine Population Connectivity. Annu Rev Mar Sci 1: 443-66.
18. Cowen RK, Gawarkiewicz G, Pineda J, Thorrold SR, Werner FE (2007) Population connectivity in marine systems: An overview. Oceanography 20: 14-20.
19. Gaines SD, Gaylord B, Gerber LR, Hastings A, Kinlan BP (2007) Connecting places: The ecological consequences of dispersal in the sea. Oceanography 20: 90-99.
20. Johnson MP, Crowe TP, McAllen R, Allcock AL (2008) Characterizing the marine Natura 2000 network for the Atlantic region. Aquatic Conserv Mar Freshw Ecosyst 18: 86-97.
21. Gerber LR, Botsford LW, Hastings A, Possingham HP, Gaines SD, et al. (2003) Population models for marine reserve design: a retrospective and prospective synthesis. Ecol App 13: S47-S64.
22. Fogarty MJ, Botsford LW (2007) Population connectivity and spatial management of marine fisheries. Oceanography 20: 112-123.
23. Rohani P, May RM, Hassell MP (1996) Metapopulations and Equilibrium Stability: The Effects of Spatial Structure. J Theor Biol 181: 97-109.
24. Adler FR, Neurnberger B (1994) Persistence in patchy irregular landscapes. Theor Pop Biol 45: 41-75.
25. Ovaskainen O, Hanski I (2001) Spatially structured metapopulation models: Global and local assessment of metapopulation capacity. Theor Pop Biol 60: 281-302.
26. Ovaskainen O, Hanski I (2003) Extinction threshold in metapopulation models. Annales Zoologici Fennici 40: 81-97.
27. Hanski I, Ovaskainen O (2003) Metapopulation theory for fragmented landscapes. Theor Pop Biol 64: 119-127.
28. Ovaskainen O, Sato K, Bascompte J, Hanski I (2002) Metapopulation models for extinction threshold in spatially correlated landscapes. J Theor Biol 215: 95-108.
29. Gardner MR, Ashby WR (1970) Connectance of large dynamic (cybernetic) systems: Critical values for stability. Nature 228: 784-784.
30. Pulliam HR (1988) Sources, sinks and population regulation. Am Nat 132: 652-661.
31. Caswell H (1989) Matrix population models: Construction, analysis, and interpretation. Sinauer, Sunderland, Mass.
32. de-Camino-Beck T, Lewis MA (2007) A new method for calculating net reproductive rate from graph reduction with applications to the control of invasive species. Bull Math Biol 69: 1341-1354.
33. Williams D, Sale PF (1981) Spatial and temporal patterns of recruitment of juvenile coral reef fishes to coral habitats within One Tree Lagoon, Great Barrier Reef. Mar Biol 65: 245-253.
34. Restrepo JG, Ott E, Hunt BR (2007) Approximating the largest eigenvalue of network adjacency matrices. Phys Rev E 76: 056119.
35. McKay BD (2004) Acyclic digraphs and eigenvalues of (0,1) matrices. Jnl. of Integer Sequences 7: 1-5.
36. Bode M, Burrage K, Possingham HP (2004) Using complex network metrics to predict the persistence of metapopulations with asymmetric connectivity patterns. Ecol Modell 214: 201-209.
37. Vuilleumier S, Possingham HP (2006) Does colonization asymmetry matter in metapopulations? Proc R Soc B 273: 1637-1642.
38. Salomon Y, Connolly S, Bode L (2010) Effects of asymmetric dispersal on the coexistence of competing species. Ecol Lett 13: 409-541.
39. Eckert GL (2003) Effects of the planktonic period on marine population fluctuations. Ecology 84: 372-383.
40. Earn DJD, Levin SA, Rohani P (2000) Coherence and conservation. Science 290: 1360-1364.