Graph theoretic topology of the Great but small Barrier Reef world

Albert R, Barabasi A-L (2002) Statistical mechanics of complex networks. Rev Mod Phys 74:48–94

Albert R, Jeong H, Barabasi A-L (2000) Error and attack tolerance of complex networks. Nature 406:378–382

Amaral L, Scala A, Barthelemy M, Stanley H (2000) Classes of small-world networks. PNAS 97:11149–11152

Andrefouet S, Mumby P, McField M, Hu C, Muller-Karger FE (2002) Revisiting coral reef connectivity. Coral Reef 21:43–48

Ayre D, Hughes T (2000) Genotypic diversity and gene flow in brooding and spawning corals along the great barrier reef, Australia. Evolution 54:1590–1605

Barabasi A-L (2002) Linked; the new science of networks, vol 1. Perseus, Cambridge

Barabasi A-L, Albert R (1999) Emergence of scaling in random networks. Science 286:509–512

Barabasi A-L, Albert R, Jeong H (2000) Scale-free characteristics of random networks: the topology of the world wide web. Physica A 281:69–77

Barber P, Palumbi SR, Erdmann M, Moosa MK (2000) A marine Wallace's line. Nature 406:692–693

Barrat A, Barthelemy M, Pastor-Satorras R, Vespignani A (2004) The architecture of complex weighted networks. Proc Natl Acad Sci USA 101:3747

Bjornstad ON, Ims R, Lambin X (1999) Spatial population dynamics: analyzing patterns and processes of population synchrony. TREE 14:427–432

Bode M, Bode L, Armsworth P (2006) Regional scale source-sink structure in a marine metapopulation. Mar Ecol Prog Ser 308:17–25

Bode M, Burrage K, Possingham HP (2008) Using complex network metrics to predict the persistence of metapopulations with asymmetric connectivity patterns. Ecol Model 214:201–209

Brinkman R, Wolanski E, Deleersnijder E, McAllister F, Skirving W (2001) Oceanic inflow from the coral sea into the great barrier reef. Estuar Coast Shelf Sci 54:655–668

Bunn AG, Urban D, Keitt T (2000) Landscape connectivity: a conservation application of graph theory. J Environ Manag 59:265–278

Butts C (2007) sna: tools for social network analysis. R package version 1.5, http://www.r-project.org/

Csardi G, Nepusz T (2006) The igraph software package for complex network research. In: http://necsi.org/events/iccs6/viewabstract.php?id=88 (ed) Interjournal Complex Systems

Dorogovtsev SN, Mendes J (2002) Evolution of networks. Adv Phys 51:1079–1187

Erdos P, Renyi A (1959) On random graphs. Publ math (Debr) 6:290–297

Fabricius K, De'ath G (2001) Environmental factors associated with the spatial distribution of crustose coralline algae on the great barrier reef. Coral Reefs 19:303–309

Ferrer R, Janssen C, Sole R (2001) The topology of technology graphs: small world patterns in electronic circuits. Phys Rev E 64:046119

Franc A (2004) Metapopulation dynamics as a contact process on a graph. Ecological Complexity 1:49–63

Freeman LC (1978) Centrality in social networks. Conceptual clarification. Soc Netw 1:215–239

Garcia-Charton JA, Perez-Ruzafa A (1999) Ecological heterogeneity and the evaluation of the effects of marine reserves. Fish Res 42:1–20

Gross J, Yellen J (1999) Graph theory and its applications, vol 1. CRC, Boca Raton

Gustafson EJ (1998) Quantifying landscape spatial pattern: what is the state of the art? Ecosystems 1:143–156

Harary F (1969) Graph Theory, vol 1. Addison-Wesley, Reading

Harriott VJ, Banks SA (2002) Latitudinal variation in coral communities in eastern Australia: a qualitative biophysical model of factors regulating coral reefs. Coral Reefs 21:83–94

Hayes B (2000) Graph theory in practice: part 2. Am Sci 88:104–109

Hughes T, Baird AH, Dinsdale EA, Moltschaniwskyj NA, Pratchett MS, Tanner JE, Willis BL (1999) Patterns of recruitment and abundance of corals along the great barrier reef. Nature 397:59–63

James M, Armsworth P, Mason L, Bode L (2002) The structure of reef fish metapopulations: modelling larval dispersal and retention patterns. Proc R Soc Lond B 269:2079–2086

Jeong H, Tombar B, Albert R, Oltvai Z, Barabasi A-L (2000) The large-scale organization of metabolic pathways. Nature 407:651–654

Jones GP, Milicich MJ, Emslie M, Lunow C (1999) Self-recruitment in a coral reef fish population. Nature 402:802–804

Jones GP, Planes S, Thorrold SR (2005) Coral reef fish larvae settle close to home. Curr Biol 15:1314–1318

Kingsford M, Leis J, Shanks AL, Lindeman K, Morgan S, Pineda J (2002) Sensory environments, larval abilities and local self-recruitment. Bull Mar Sci 70:309–340

Leskovec J, Kleinberg J, Faloutsos C (2007) Graph evolution: densification and shrinking diameters. ACM Transactions on Knowledge Discovery from Data 1:40

Li L, Alderson D, Doyle JC, Willinger W (2005) Towards a theory of scale-free graphs: definition, properties and implications. Internet Mathematics 2:431–523

Milgram S (1967) The small world problem. Psychol Today 2:61–67

Minor E, Urban D (2008) A graph-theory framework for evaluating landscape connectivity planning. Conserv Biol 22:297–307

Montoya J, Sole R (2002) Small world patterns in food webs. J Theor Biol 214:405–412

Mora C, Chittaro P, Sale P, Kritzer J, Ludsin S (2003) Patterns and processes in reef fish diversity. Nature 421:933–936

Mumby P (1999) Can Caribbean coral populations be modelled at metapopulation scales? Mar Ecol Prog Ser 180:275–288

Mumby P (2006) Connectivity of reef fish between mangroves and coral reefs: algorithms for the design of marine reserves at seascape scales. Biol Conserv 128:215–222

Newman MC (2004) Analysis of weighted networks. Phys Rev E 70:056131

Ninio R, Meekan MG (2002) Spatial patterns in benthic communities and the dynamics of a mosaic ecosystem on the great barrier reef, Australia. Coral Reefs 21:95–103

Nishikawa A, Sakai K (2005) Genetic connectivity of the scleractinian coral Goniastrea aspera around the Okinawa islands. Coral Reefs 24:318–323

Possingham HP, Franklin KA, Wilson KA, Regan TJ (2005) The roles of spatial heterogeneity and ecological processes in conservation planning. In: Lovett GM, Jones CG, Turner MG, Weathers KC (eds) Ecosystem function in heterogeneous landscapes. Springer, New York, pp 389–406

Proulx S, Promislow D, Phillips P (2005) Network thinking in ecology and evolution. Trends Ecol Evol 20:345–353

Radicchi F, Castellano C, Cecconi F, Loreto V, Parisi D (2004) Defining and identifying communities in networks. PNAS 101:2658–2663

Sale P (1999) Recruitment in space and time. Nature 397:25–27

Schnettler S (2009) A structured overview of 50 years of small-world research. Social Networks 31:165–178. doi: 10.1016/j.socnet.2008.1012.1004

Shanks AL, Grantham BA, Carr MH (2003) Propagule dispersal distance and the size and spacing of marine reserves. Ecol Appl 13:159–169

Siegel DA, Kinlan BP, Gaylord B, Gaines SD (2003) Lagrangian descriptions of marine larval dispersion. Mar Ecol Prog Ser 260:83–96

Song C, Havlin S, Makse H (2005) Self-simularity of complex networks. Nature 433:392–395

Steuer R, Lopez G (2008) Global network properties. In: Junker B, Schreiber F (eds) Analysis of Biological Networks. Wiley-Interscience, Hoboken

Swearer S, Caselle J, Lea D, Warner RR (1999) Larval retention and recruitment in an island population of a coral-reef fish. Nature 402:799–802

Travers J, Milgram S (1969) An experimental study of the small world problem. Sociometry 32:425–443

Treml E, Halpin PN, Urban D, Pratson L (2008) Modelling population connectivity by ocean currents, a graph-theoretic approach for marine conservation. Landscape Ecol 23:19–36

Urban D, Keitt T (2001) Landscape connectivity: a graph-theoretic perspective. Ecology 82:1205–1218

van Langevelde F, van der Knapp WGM, Claasen GDH (1998) Comparing connectivity in landscape networks. Environ Plann B 25:849–863

van Oppen M, Gates RD (2006) Conservation genetics and the resilience of reef-building corals. Mol Ecol 15:3863–3883

van Oppen M, Lutz A, De'ath G, Peplow L, Kininmonth S (2008) Genetic traces of recent long-distance dispersal in a predominantly self-recruiting coral. PloS One 3:1–12

van Woesik R (2000) A metacommunity model predicts coral diversity regulated by post settlement mortality. Biodivers Conserv 9:1219–1233

Veron JEN (2002) Reticulate evolution in corals. Ninth International Coral Reef Symposium 2000, Bali, pp 43–48

Vuilleumier S, Metzger R (2006) Animal dispersal modelling: handling landscape features and related animal choices. Ecol Model 190:159–170

Wagner A, Fell D (2001) The small world inside large metabolic networks. Proc R Soc Lond B 268:1803–1810

Watts DJ, Strogatz SH (1998) Collective dynamics of ‘small-world’ networks. Nature 393:440–442