Skip to main content

Advertisement

Log in

Estimating landscape resistance to dispersal

  • Research Article
  • Published:
Landscape Ecology Aims and scope Submit manuscript

Abstract

Dispersal is an inherently spatial process that can be affected by habitat conditions in sites encountered by dispersers. Understanding landscape resistance to dispersal is important in connectivity studies and reserve design, but most existing methods use resistance functions with cost parameters that are subjectively chosen by the investigator. We develop an analytic approach allowing for direct estimation of resistance parameters that folds least cost path methods typically used in simulation approaches into a formal statistical model of dispersal distributions. The core of our model is a frequency distribution of dispersal distances expressed as least cost distance rather than Euclidean distance, and which includes terms for feature-specific costs to dispersal and sex (or other traits) of the disperser. The model requires only origin and settlement locations for multiple individuals, such as might be obtained from mark–recapture studies or parentage analyses, and maps of the relevant habitat features. To evaluate whether the model can estimate parameters correctly, we fit our model to data from simulated dispersers in three kinds of landscapes (in which resistance of environmental variables was categorical, continuous with a patchy configuration, or continuous in a trend pattern). We found maximum likelihood estimators of resistance and individual trait parameters to be approximately unbiased with moderate sample sizes. We applied the model to a small grizzly bear dataset to demonstrate how this approach could be used when the primary interest is in the prediction of costs and found that estimates were consistent with expectations based on bear ecology. Our method has important practical applications for testing hypotheses about dispersal ecology and can be used to inform connectivity planning efforts, via the resistance estimates and confidence intervals, which can be used to create a data-driven resistance surface.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price includes VAT (France)

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2

Similar content being viewed by others

References

  • Adriaensen F, Chardon JP, De Blust G, Swinnen E, Vallalba S, Gullink H, Matthysen E (2003) The application of ‘least-cost’ modeling as a functional landscape model. Lands Urban Plan 64:233–247

  • Austerlitz F, Dick CW, Dutech C, Klein EK, Oddou-Muratorio S, Smouse PE, Sork VL (2004) Using genetic markers to estimate the pollen dispersal curve. Mol Ecol 13:937–954

  • Beier P, Majka DR, Spencer WD (2008) Forks in the road: choices in procedures for designing wildland linkages. Conserv Biol 22:836–851

    Article  PubMed  Google Scholar 

  • Beier P, Spencer WD, Baldwin R, McRae B (2011) Toward best practices for developing regional connectivity maps. Conserv Biol 25:879–892

    Article  PubMed  Google Scholar 

  • Berry O, Toche MD, Sarre SD (2004) Can assignment tests measure dispersal? Mol Ecol 13:551–561

    Article  PubMed  Google Scholar 

  • Bowler DE, Benton TG (2005) Causes and consequences of animal dispersal strategies: relating individual behavior to spatial dynamics. Biol Rev 80:205–225

    Article  PubMed  Google Scholar 

  • Bowne DR, Bowers MA (2004) Interpatch movements in spatially structured populations: a literature review. Landscape Ecol 19:1–20

    Article  Google Scholar 

  • Broquet T, Petit EJ (2009) Molecular estimation of dispersal for ecology and population genetics. Ann Rev Ecol Evol Syst 40:193–216

    Article  Google Scholar 

  • Bruggeman DJ, Wiegand T, Walters JR, Taboada FG (2014) Contrasting the ability of data to make inferences regarding dispersal: case study of the red-cockaded woodpecker (Picoides borealis). Landscape Ecol 29:639–653

    Article  Google Scholar 

  • Chepko-Sade BD, Halpin ZT (eds) (1987) Mammalian dispersal patterns: the effects of social structure on population genetics. University of Chicago Press, Chicago

    Google Scholar 

  • Chepko-Sade BD, Shields WM, Berger J, Halpin ZT, Jones WT, Rogers LL, Rood JP, Smith AT (1987) The effects of dispersal and social structure on effective population size in Mammalian dispersal patterns: the effects of social structure on population genetics. In: Chepko-Sade BD, Halpin ZT (eds) Mammalian dispersal patterns: the effects of social structure on population genetics. University of Chicago Press, Chicago, p 342

  • Chetkiewicz CLB, Boyce MS (2009) Use of resource selection function to identify conservation corridors. J Appl Ecol 46:1036–1047

    Article  Google Scholar 

  • Clark JS, Silman M, Kern R , Macklin E, HilleRisLambers J (1999) Seed dispersal near and far: patterns across temperate and tropical forests. Ecology 80:1475–1494

  • Clobert J, Danchin E, Dhondt AA, Nichols JD (eds) (2001) Dispersal. Oxford University Press, Oxford

  • Clobert J, Le Galliard JF, Cote J, Mevlan S, Massot M (2009) Informed dispersal, heterogeneity in animal dispersal syndromes and the dynamics of spatially structured populations. Ecol Lett 12:197–209

  • Crooks KR, Sanjayan M (2006) Connectivity conservation. Cambridge University Press, New York

    Book  Google Scholar 

  • Cushman SA, McKelvey KS, Hayden J (2006) Gene flow in complex landscapes: testing multiple hypotheses with causal modeling. Am Nat 168:486–489

    Article  PubMed  Google Scholar 

  • Damschen EI, Baker DV, Bohrer G, Nathan R, Orrock JL, Turner J, Brudvig LA, Haddad NM, Levey DJ, Tewksbury JJ (2014) How fragmentation and corridors affect seed dispersal in open habitats. Proc Natl Acad Sci 111:3484–3489

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

    Article  Google Scholar 

  • Epps CW, Wehausen JD, Bleich VC, Torres SG, Brashares JS (2007) Optimizing dispersal and corridor models using landscape genetics. J Appl Ecol 44:714–724

  • Fortin D, Beyer HL, Boyce MS, Smith DW, Duchesne T, Mao JS (2005) Wolves influence elk movements: behavior shapes a trophic cascade in Yellowstone National Park. Ecology 86:1320–1330

  • Fujiwara M, Anderson KE, Neubert MG, Caswell H (2006) On the estimation of dispersal kernels from individual mark-recapture data. Environ Ecol Stat 13:183–197

  • Graves TA, Farley S, Goldstein M, Servheen S (2007) Identification of functional corridors with movement characteristics of brown bears on the Kenai Peninsula, AK. Landscape Ecol 22:765–772

  • Graves TA, Wasserman TN, Ribeiro M, Landguth EL, Spear SF, Balkenhol N, Higgens CB, Fortin M-J, Cushman SA, Waits LP (2012) The influence of landscape characteristics and home-range size on the quantification of landscape-genetics relationships. Landscape Ecol 27:253–266

  • Graves TA, Beier P, Royle JA (2013) Current approaches using genetic distances produce poor estimates of landscape resistance to inter-individual dispersal. Mol Ecol 22:3888–3903

    Article  PubMed  Google Scholar 

  • Guillot G, Rousset F (2013) Dismantling the Mantel tests. Methods Ecol Evol 4:336–344

    Article  Google Scholar 

  • Hanks EM, Hooten MB, Johnson DS, Sterling JT (2011) Velocity-based movement modeling for individual and population level inference. PLos One 6:e22795

  • Hanski IA, Gilpin ME (eds) (1997) Metapopulation biology: ecology, genetics and evolution. Academic Press, San Diego

    Google Scholar 

  • Hanski IA, Alho J, Moilanen A (2000) Estimating the parameters of survival and migration of individuals in metapopulations. Ecology 81:239–251

    Article  Google Scholar 

  • Jaquiéry J, Broquet T, Hirzel AH, Yearsley J, Perrin N (2011) Inferring landscape effects on dispersal from genetic distances: how far can we go? Mol Ecol 20:692–705

  • Johnson DS, Thomas DL, Ver Hoef JM, Christ A (2008) A general framework for the analysis of animal resource selection from telemetry data. Biometrics 64:968–976

  • Kadoya T (2009) Assessing functional connectivity using empirical data. Popul Ecol 51:5–15

    Article  Google Scholar 

  • Kendall KC, Stetz JB, Boulanger J, MacLeod AC, Paetkau D, White GC (2009) Demography and genetic structure of a recovering grizzly bear population. J Wildl Manag 73:3–17

  • La Morgia V, Malenotti E, Badino G, Bona F (2011) Where do we go from here? Dispersal simulations shed light on the role of landscape structure in determining redistribution after reintroduction. Landscape Ecol 26:969–981

    Article  Google Scholar 

  • Levin SA, Muller-Landau HC, Nathan R, Chave J (2003) The ecology and evolution of seed dispersal: a theoretical perspective. Ann Rev Ecol Evol Syst 34:575–604

  • McRae BH (2006) Isolation by resistance. Evolution 60:1551–1561

    Article  PubMed  Google Scholar 

  • McRae BH, Dickson BG, Keitt TH, Shah VB (2008) Using circuit theory to model connectivity in ecology, evolution, and conservation. Ecology 89:2712–2724

  • Minor ES, Gardner RH (2011) Landscape connectivity and seed dispersal characteristics inform the best management strategy for exotic plants. Ecol Appl 21:739–749

  • Minor ES, Urban DL (2007) Graph theory as a proxy for spatially explicit population models in conservation planning. Ecol Appl 17:1771–1782

    Article  PubMed  Google Scholar 

  • Moilanen A, Hanski I (1998) Metapopulation dynamics effects of habitat quality and landscape structure. Ecology 79:2503–2515

  • Nathan R (2003) Methods for estimating long-distance dispersal. Oikos 103:261–273

    Article  Google Scholar 

  • Nathan R, Horn HS, Chave J, Levin SA (2002) Mechanistic models for tree seed dispersal by wind in dense forests and open landscapes. In: Levey DJ, Silva WR, Galetti M (eds) Seed dispersal and frugivory: ecology, evolution and conservation. CAB International Press, Oxfordshire, pp 69–82

    Google Scholar 

  • Nielsen SE, Boyce MS, Stenhouse GB (2004) Grizzly bears and forestry I. Selection of clear cuts by grizzly bears in west-central Alberta, Canada. For Ecol Manag 199:51–65

    Article  Google Scholar 

  • Okubo A, Levin SA (1989) Diffusion and ecological problems: modern perspectives. Springer, New York

    Google Scholar 

  • Ovaskainen O (2004) Habitat-specific movement parameters estimated using mark-recapture data and a diffusion model. Ecology 85:242–257

    Article  Google Scholar 

  • Ovaskainen O, Rekola H, Meyke E, Arias E (2008) Bayesian methods for analyzing movements in heterogeneous landscapes from mark-recapture data. Ecology 89:542–554

  • R Development Core Team (2013) R: a language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. http://www.R-project.org. Accessed Dec 2013

  • Rayfield B, Fortin MJ, Fall A (2010) The sensitivity of least-cost habitat graphs to relative cost surface values. Landscape Ecol 25:519–532

    Article  Google Scholar 

  • Reeve JD, Cronin JT, Haynes KJ (2008) Diffusion models for animals in complex landscapes: incorporating heterogeneity among substrates, individuals and edge behaviors. J Anim Ecol 77:898–904

    Article  PubMed  Google Scholar 

  • Ribbens E, Silander JA Jr, Pacala SW (1994) Seedling recruitment in forests: calibrating models to predict patterns of tree seed dispersion. Ecology 75:1794–1806

    Article  Google Scholar 

  • Ricketts TH (2001) The matrix matters: effective isolation in fragmented landscapes. Am Nat 158:87–99

    Article  CAS  PubMed  Google Scholar 

  • Royle JA, Chandler R, Gazenski KD, Graves TA (2013) Spatial capture-recapture models for jointly estimating population density and landscape connectivity. Ecology 94:287–294

  • Schurr FM, Steinitz O, Nathan R (2008) Plant fecundity and seed dispersal in spatially heterogeneous environments: models, mechanisms and estimation. J Ecol 96:628–641

    Article  Google Scholar 

  • Schwartz MK, Copeland JP, Anderson NJ, Squires JR, Inman RM, McKelvey KS, Pilgrim KL, Waits LP, Cushman SA (2009) Wolverine gene flow across a narrow climatic niche. Ecology 90:3222–3232

  • Shirk AJ, Wallin DO, Cushman SA, Rice CG, Warheit KI (2010) Inferring landscape effects on gene flow: a new model selection framework. Mol Ecol 19:3603–3619

  • Spear SF, Balkenhol N, Fortin MJ, McRae BH, Scribner K (2010) Use of resistance surfaces for landscape genetic studies: considerations for parameterization and analysis. Mol Ecol 19:3576–3591

  • Stevens VM, Pavoine S, Baguette M (2010) Variation within and between closely related species uncovers high intra-specific variability in dispersal. PLoS One 5: e11123

  • Stevens VM, Polus RA, Wesselingh N et al (2004) Quantifying functional connectivity: experimental evidence for patch-specific resistance in the Natterjack toad (Bufo calamita). Landscape Ecol 19:829–842

    Article  Google Scholar 

  • Tackenberg O (2003) Modeling long distance dispersal of plant diaspores by wind. Ecol Monogr 73:173–189

    Article  Google Scholar 

  • Tracy JA (2006) Individual-based movement modeling as a tool for conserving connectivity. Connectivity conservation. In: Crooks KR, Sanjayan M (eds) Connectivity conservation. Cambridge University Press, New York, p 712

    Google Scholar 

  • Trainor AM, Walters JR, Morris WF, Sexton J, Moody A (2013) Empirical estimation of dispersal resistance surfaces: a case study with red-cockaded woodpeckers. Lanscape Ecol 28:755–767

  • Trakhtenbrot A, Katul GG, Nathan R (2014) Mechanistic modeling of seed dispersal by wind over hilly terrain. Ecol Model 274:29–40

    Article  Google Scholar 

  • Treml EA, Halpin PN, Urban DL, Pratson LF (2008) Modeling population connectivity by ocean currents, a graph-theoretic approach for marine conservation. Landscape Ecol 23:19–36

    Article  Google Scholar 

  • Turchin P (1998) Quantitative analysis of movement: measuring and modeling population redistribution in animals and plants. Sinauer, Sunderland

    Google Scholar 

  • Turchin P, Thoeny WT (1993) Quantifying dispersal of southern pine beetles with mark recapture experiments and a diffusion model. Ecol Appl 3:187–198

    Article  Google Scholar 

  • Uriarte M, Anciaes M, Da Silva MTB, Rubim P, Johnson E, Bruna EM (2011) Disentangling the drivers of reduced long-distance seed dispersal by birds in an experimentally fragmented landscape. Ecology 92:924–937

  • Van Etten J (2011) Package distance. R Package Version 1.1-2

  • Van Putten B, Visser MD, Muller-Landau HC, Jansen PA (2012) Distorted-distance models for directional displacement: a general framework with application to a wind-dispersed tree. Methods Ecol Evol 3:642–652

  • Vellend M, Meyers JA, Gardescu S, Marks P (2003) Dispersal of Trillium seed by deer: implications for long-distance migration of forest-herbs. Ecology 84:1067–1072

  • Wagner S, Walder K, Ribbens E, Zeibig A (2004) Directionality in fruit dispersal models for anemochorous forest trees. Ecol Model 179:487–498

  • Waser PM, Strobeck S (1998) Genetic signatures of interpopulation dispersal. Trends Ecol Evol 13:43–44

    Article  CAS  PubMed  Google Scholar 

  • Wiens JA, Milne BT (1989) Scaling of ‘landscapes’ in landscape ecology, or landscape ecology from a beetle’s perspective. Landscape Ecol 3:87–96

    Article  Google Scholar 

  • Zeller KA, McGarigal K, Whitely AR (2012) Estimating landscape resistance to movement: a review. Landscape Ecol 27:777–797

    Article  Google Scholar 

  • Zheng C, Pennanen J, Ovaskainen O (2009) Modeling dispersal with diffusion and habitat selection: analytical results for highly fragmented landscapes. Ecol Model 220:1495–1505

    Article  Google Scholar 

Download references

Acknowledgments

This work was funded by NSF DEB Grant # 0919239. Tabitha was a PEO and an AAUW Scholar and is now a David H. Smith Conservation Research Fellow. She also thanks NSF-IGERT, NAU School of Forestry, and the Hafen, Prather, Krimminger, and David-German scholarships for support. Any use of trade, firm, or product names is for descriptive purposes only and does not imply endorsement by the U.S. Government.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Tabitha Graves.

Electronic supplementary material

Below is the link to the electronic supplementary material.

Supplementary material 1 (PDF 178 kb)

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Graves, T., Chandler, R.B., Royle, J.A. et al. Estimating landscape resistance to dispersal. Landscape Ecol 29, 1201–1211 (2014). https://doi.org/10.1007/s10980-014-0056-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10980-014-0056-5

Keywords

Navigation