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Two measures of landscape-graph connectivity: assessment across gradients in area and configuration

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Abstract

Landscape connectivity is critical to species persistence in the face of habitat loss and fragmentation. Graph theory is a well-defined method for quantifying connectivity that has tremendous potential for ecology, but its application has been limited to a small number of conservation scenarios, each with a fixed proportion of habitat. Because it is important to distinguish changes in habitat configuration from changes in habitat area in assessing the potential impacts of fragmentation, we investigated two metrics that measure these different influences on connectivity. The first metric, graph diameter, has been advocated as a useful measure of habitat configuration. We propose a second area-based metric that combines information on the amount of connected habitat and the amount of habitat in the largest patch. We calculated each metric across gradients in habitat area and configuration using multifractal neutral landscapes. The results identify critical connectivity thresholds as a function of the level of fragmentation and a parallel is drawn between the behavior of graph theory metrics and those of percolation theory. The combination of the two metrics provides a means for targeting sites most at risk of suffering low potential connectivity as a result of habitat fragmentation.

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References

  • Bascompte J, Sole RV (1996) Habitat fragmentation and extinction thresholds in spatially explicit models. J Anim Ecol 65:465–473

    Article  Google Scholar 

  • Bender D, Tischendorf L, Fahrig L (2003) Using patch isolation metrics to predict animal movement in binary landscapes. Lands Ecol 18:17–39

    Article  Google Scholar 

  • Bunn AG, Urban DL, Keitt TH (2000) Landscape connectivity: a conservation application of graph theory. J Environ Manage 59:265–278

    Article  Google Scholar 

  • Calabrese JM, Fagan WF (2004) A comparison-shopper’s guide to connectivity metrics. Front Ecol Environ 2:529–536

    Article  Google Scholar 

  • D’Eon RS, Glenn M, Parfitt I, Fortin MJ (2002) Landscape connectivity as a function of scale and organism vagility in a real forested landscape. Conserv Ecol 6:10 (online) URL: http://www.consecol.org/vol6/iss2/art10/

    Google Scholar 

  • Dijkstra EW (1959) A note on two problems in connexion with graphs. Numer Math 1:269–271

    Article  Google Scholar 

  • Fagan WF, Meir E, Prendergast J, Folarin A, Karieva P (2001) Characterizing population vulnerability for 758 species. Ecol Lett 4:132–138

    Article  Google Scholar 

  • Fahrig L (2001) How much habitat is enough? Biol Conserv 100:65–74

    Article  Google Scholar 

  • Fahrig L (2003) Effects of habitat fragmentation on biodiversity. Annu Rev Ecol Evol Syst 34:487–515

    Article  Google Scholar 

  • Fahrig L, Merriam G (1985) Habitat patch connectivity and population survival. Ecology 66:1762–1768

    Article  Google Scholar 

  • Fahrig L, Paloheimo J (1988) Determinants of local population size in patchy habitats. Theor Popul Biol 34:194–213

    Article  Google Scholar 

  • Ferrari JR (2005) Graph theoretic connectivity analysis of the Mid-Atlantic region of the United States. MS Thesis, University of Maryland

  • Gardner RH (1999) RULE: a program for the generation of random maps and the analysis of spatial patterns. In: Klopatek JM, Gardner RH (eds) Landscape ecological analysis: issues and applications. Springer-Verlag, New York, pp 280–303

    Google Scholar 

  • Gillis EA, Krebs CJ (1999) Natal dispersal of snowshoe hares during a cyclic population increase. J Mammal 80:933–939

    Article  Google Scholar 

  • Groffman PM, Baron JS, Blett T, Gold AJ, Goodman I, Gunderson LH, Levinson BM, Palmer MA, Paerl HW, Peterson GD, Poff N, Rejeski DW, Reynolds JF, Turner MG, Weathers KC, Wiens J (2006) Ecological thresholds: the key to successful environmental management or an important concept with no practical application. Ecosystems 9:1–13

    Article  Google Scholar 

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

    Google Scholar 

  • Hargis CD, Bissonette JA, David JL (1998) The behavior of landscape metrics commonly used in the study of habitat fragmentation. Landsc Ecol 13:167–186

    Article  Google Scholar 

  • Hayes B (2000a) Graph theory in practice: part I. Am Sci 88:9–13

    Article  Google Scholar 

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

    Article  Google Scholar 

  • Keitt TH, Urban DL, Milne BT (1997) Detecting critical scales in fragmented landscapes. Conserv Ecol 1:4 (online) URL:http://www.consecol.org/Journal/vol1/iss1/art4

  • Lande R (1987) Extinction thresholds in demographic models of territorial populations. Am Nat 130:624–635

    Article  Google Scholar 

  • Levins R (1969) Some demographic and genetic consequences of environmental heterogeneity for biological control. Bull Entom Soc Am 15:237–240

    Google Scholar 

  • Levins R (1970) Extinction. In: Gerstenhaber M (ed) Lectures on mathematics in the life sciences. American Mathematics Society, Providence, pp 77–107

    Google Scholar 

  • Lindenmayer DB, Luck G (2005) Synthesis: thresholds in conservation and management. Biol Conserv 124:351–354

    Article  Google Scholar 

  • McGarigal K, Cushman SA, Neel MC, Ene E (2002) FRAGSTATS: spatial pattern analysis program for categorical maps. University of Massachusetts, Amherst

    Google Scholar 

  • Moffatt AS (1994) Theoretical ecology: winning its spurs in the real world. Science 263:1090–1092

    Article  Google Scholar 

  • Moilanen A, Nieminen M (2002) Simple connectivity measures in spatial ecology. Ecology 83:1131–1145

    Google Scholar 

  • Muradian R (2001) Ecological thresholds: a survey. Ecol Econ 38:7–24

    Article  Google Scholar 

  • Neel MC, McGarigal K, Cushman SA (2004) Behavior of class-level landscape metrics across gradients of class aggregation and area. Landsc Ecol 19:435–455

    Article  Google Scholar 

  • O’Neill RV, Milne BT, Turner MG, Gardner RH (1988) Resource utilization scales and landscape pattern. Landsc Ecol 2:63–69

    Article  Google Scholar 

  • Pascual-Hortal L, Saura S (2006) Comparison and development of new graph-based landscape connectivity indices: towards the prioritization of habitat patches and corridors for conservation. Landsc Ecol 21:959–967

    Article  Google Scholar 

  • Pimm SL, Askins RA (1995) Forest losses predict bird extinctions in eastern North-America. Proc Natl Acad Sci USA 92:9343–9347

    Article  PubMed  CAS  Google Scholar 

  • Rapport DJ, Regier HA, Hutchinson TC (1985) Ecosystem behavior under stress. Am Nat 125:617–640

    Article  Google Scholar 

  • Rothley KD, Rae C (2005) Working backwards to move forwards: graph-based connectivity metrics for reserve network selection. Environ Model Assess 10:107–113

    Article  Google Scholar 

  • Saunders DA, Hobbs RJ, Margules CR (1991) Biological consequences of ecosystem fragmentation: a review. Conserv Biol 5:18–32

    Article  Google Scholar 

  • Stauffer D, Aharony A (1992) Introduction to Percolation Theory. Taylor & Francis, London

    Google Scholar 

  • Urban DL (2003) LANDGRAPHS: a package for graph theoretic analyses of landscapes. Landscape Ecology Laboratory, Duke University, Durham

    Google Scholar 

  • Urban DL (2005) Modeling ecological processes across scales. Ecology 86:1996–2006

    Article  Google Scholar 

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

    Article  Google Scholar 

  • van Langevelde F (2000) Scale of habitat connectivity and colonization in fragmented nuthatch populations. Ecography 23:614–622

    Article  Google Scholar 

  • Wilcove DS, Rothstein D, Dubow J, Phillips A, Losos E (1998) Quantifying threats to imperiled species in the United States. Bioscience 48:607–615

    Article  Google Scholar 

  • Winfree RJ, Dushoff J, Crone EE, Schultz CB, Budny RV, Williams NM, Kremen C (2005) Testing simple indices of habitat proximity. Am Nat 165:707–717

    Article  PubMed  Google Scholar 

  • With KA (1997) The application of neutral landscape models in conservation biology. Conserv Biol 11:1069–1080

    Article  Google Scholar 

  • With KA (1999) Is landscape connectivity necessary and sufficient for wildlife management? In: Rochelle JA, Lehmann LA, Wisniewski J (eds) Forest fragmentation: wildlife and management implications. Brill Academic Publishers, Leiden, pp 97–115

    Google Scholar 

Download references

Acknowledgments

Comments and the LANDGRAPHS code provided by Dean Urban (Duke University) are greatly appreciated. We thank Adam Bazinet and Mike Cummings of the Center for Bioinformatics and Computational Biology in the University of Maryland Institute for Advanced Computer Studies for technical support. Funding was provided by the National Park Service, NCR I&M Network through the Chesapeake Watershed Cooperative Ecosystem Unit, Task Agreement J3992050104 and by the University of Maryland College Park, College of Agriculture and Natural Resource Sciences, Department of Natural Resource Sciences and Landscape Architecture.

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Correspondence to Joseph R. Ferrari.

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Ferrari, J.R., Lookingbill, T.R. & Neel, M.C. Two measures of landscape-graph connectivity: assessment across gradients in area and configuration. Landscape Ecol 22, 1315–1323 (2007). https://doi.org/10.1007/s10980-007-9121-7

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  • DOI: https://doi.org/10.1007/s10980-007-9121-7

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