Spatial statistics, spatial regression, and graph theory in ecology

Spatial Statistics

Volumn 1, Issue , 2012, Pages 100-109

  Fortin, Marie Josée ^a   James, Patrick M A ^a,b   MacKenzie, Alistair ^a,c   Melles, Stephanie J ^a,d   Rayfield, Bronwyn ^a,e  

^a UNIVERSITY OF TORONTO   (Canada)

^b UNIVERSITÉ DE MONTRÉAL   (Canada)

^c Pinery Provincial Park Ontario Parks   (Canada)

^d TRENT UNIVERSITY   (Canada)

^e MCGILL UNIVERSITY   (Canada)

Author keywords

Connectivity; Fragmentation; Spatial heterogeneity; Spatial scales; Species distribution; Wavelet

Indexed keywords

EID: 84864298306     PISSN: 22116753     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spasta.2012.02.004     Document Type: Article

References (67)

1. Agrawal A.A., Ackerly D.A., Adler F., Arnold B., Cáceres C., Doak D.F., Post E., Hudson P., Maron J., Mooney K.A., Power M., Schemske D., Stachowicz J.J., Strauss S.Y., Turner M.G., Werner E. Filling key gaps in population and community ecology. Frontiers in Ecology and the Environment 2007, 5:145-152.
2. Angelone S., Kienast F., Holderegger R. Where movement happens: scale-dependent landscape effects on genetic differentiation in the European tree frog. Ecography 2011, 34:714-732.
3. Beale C.M., Lennon J.J., Yearsley J.M., Brewer M.J., Elston D.A. Regression analysis of spatial data. Ecology Letters 2010, 13:246-264.
4. Beier P., Spencer W., Baldwin R.F., McRae B.H. Toward best practices for developing regional connectivity maps. Conservation Biology 2011, 25:879-892.
5. Bellier E., Monestiez P., Durbec J.-P., Candau J.-N. Identifying spatial relationships at multiple scales: principal coordinates of neighbour matrices (PCNM) and geostatistical approaches. Ecography 2007, 30:385-399.
6. Bélisle M., Desrochers A. Gap-crossing decisions by forest birds: an empirical basis for parameterizing spatially-explicit, individual-based models. Landscape Ecology 2002, 17:219-231.
7. Bini L.M., Diniz-Filho J.A.F., Rangel T.F.L.V.B., Akre T.S.B., Albaladejo R.G., Albuquerque F.S., Aparicio A., Araújo M.B., Baselga A., Beck J., Bellocq M.I., Böhning-Gaese K., Borges P.A.V., Castro-Parga I., Khen Chey V., Chown S.L., de Marco P., Dobkin D.S., Ferrer-Castán D., Field R., Filloy J., Fleishman E., Gómez J.F., Hortal J., Iverson J.B., Kerr J.T., Kissling W.D., Kitching I.J., León-Cortés J.L., Lobo J.M., Montoya D., Morales-Castilla I., Moreno J.C., Oberdorff T., Olalla-Tárraga M.A., Pausas J.G., Qian H., Rahbek C., Rodríguez M.A., Rueda M., Ruggiero A., Sackmann P., Sanders N.J., Carina Terribile L., Vetaas O.R., Hawkins B.A. Coefficient shifts in geographical ecology: an empirical evaluation of spatial and non-spatial regression. Ecography 2009, 32:193-204.
8. Boscolo D., Candia-Gallardo C., Awade M., Metzger J.P. Importance of interhabitat gaps and stepping-stones for lesser woodcreepers (Xiphorhynchus fuscus) in the Atlantic forest, Brazil. Biotropica 2008, 40:273-276.
9. Corlatti L., Hacklander K., Frey-Roos F. Ability of wildlife overpasses to provide connectivity and prevent genetic isolation. Conservation Biology 2009, 23:548-556.
10. Corstanje R., Grunwald S., Lark R.M. Inferences from fluctuations in the local variogram about the assumption of stationarity in the variance. Geoderma 2008, 143:123-132.
11. Cressie N.A.C. Statistics for Spatial Data 1993, Wiley, New York, 900 pp.
12. Cressie N.A.C., Wikle C.K. Statistics for Spatio-Temporal Data 2011, Wiley, Hoboken, NJ, 624 pp.
13. Csillag F., Kabos S. Wavelets, boundaries, and the spatial analysis of landscape pattern. Écoscience 2002, 9:177-190.
14. Currie D.J. Disentangling the roles of environment and space in ecology. Journal of Biogeography 2007, 34:2009-2011.
15. Cushman S.A., Schwartz M.K., Hayden J., McKelvey K. Gene flow in complex landscapes: testing multiple hypotheses with causal modeling. American Naturalist 2006, 168:486-499.
16. Dale M.R.T., Dixon P., Fortin M.-J., Legendre P., Myers D., Rosenberg M.S. The conceptual and mathematical relationships among methods for spatial analysis. Ecography 2002, 25:558-577.
17. Dale M.R.T., Fortin M.-J. From graphs to spatial graphs. Annual Review of Ecology, Evolution, and Systematics 2010, 41:21-38.
18. Dale M.R.T., Mah M. The use of wavelets for spatial pattern analysis in ecology. Journal of Vegetation Science 1998, 9:805-814.
19. Desrochers A., Bélisle M., Morand-Ferron J., Bourque J. Integrating GIS and homing experiments to study avian movement costs. Landscape Ecology 2011, 26:47-58.
20. Diggle, D.J., Ribeiro, P.J., 2010. Model-Based Geostatistics, in: Springer Series in Statistics, New York, p. 240.
21. Diggle D.J., Tawn J.A., Moyeed R.A. Model-based geostatistics. Journal of the Royal Statistical Society: Series C (Applied Statistics) 1998, 47:299-326.
22. Dormann C.F., McPherson J.M., Araújo M.B., Bivand R., Bolliger J., Carl G., Davies R.G., Hirzel A., Jetz W., Kissling W.D., Kühn I., Ohlemüller R., Peres-Neto P.R., Reineking B., Schröder B., Schurr F.M., Wilson R. Methods to account for spatial autocorrelation in the analysis of species distributional data: a review. Ecography 2007, 30:609-628.
23. Dray S., Legendre P., Peres-Neto P. Spatial modelling: a comprehensive framework for principal coordinate analysis of neighbour matrices (PCNM). Ecological Modelling 2006, 196:483-493.
24. Dungan J.L., Citron-Pousty S., Dale M., Fortin M.-J., Jakomulska A., Legendre P., Miriti M., Rosenberg M. A balanced view of scaling in spatial statistical analysis. Ecography 2002, 25:626-640.
25. Ewers R.M., Didham R.K. Confounding factors in the detection of species responses to habitat fragmentation. Biological Reviews 2006, 81:117-142.
26. Fahrig L. Effects of habitat fragmentation on biodiversity. Annual Review of Ecology, Evolution and Systematics 2003, 34:487-515.
27. Fall A., Fortin M.-J., Manseau M., O'Brien D. Spatial graphs: principles and applications for habitat connectivity. Ecosystem 2007, 10:448-461.
28. Fischer J., Lindenmayer D.B. Landscape modification and habitat fragmentation: a synthesis. Global Ecology and Biogeography 2007, 16:265-280.
29. Fortin M.-J., Dale M.R.T. Spatial Analysis: A Guide for Ecologists 2005, Cambridge Univ. Press.
30. Fortin M.-J., Dale M.R.T. Spatial autocorrelation in ecological studies: a legacy of solutions and myths. Geographical Analysis 2009, 41:392-397.
31. Fortin M.-J., Melles S.J. Avian spatial responses to forest spatial heterogeneity at the landscape level: conceptual and statistical challenges. Real World Ecology: Large-Scale and Long-Term Case Studies and Method 2009, 137-160. Springer, New York. S. Miao, S. Carstenn, M. Nungesser (Eds.).
32. Fotheringham A.S., Brunsdon C., Charlton M. Geographically Weighted Regression: The Analysis of Spatially Varying Relationships 2002, Wiley, Chichester.
33. Garroway C.J., Bowman J., Wilson P.J. Using a genetic network to parameterize a landscape resistance surface for fishers Martes pennanti. Molecular Ecology 2011, 20:3978-3988.
34. Griffith D.A., Peres-Neto P.R. Spatial modeling in ecology: the flexibility of eigenfunction spatial analyses in exploiting relative location information. Ecology 2006, 87:2603-2613.
35. Haddad N.M. Corridor length and patch colonization by a butterfly, Junonia coenia. Conservation Biology 2000, 14:738-745.
36. Haining R. Spatial Data Analysis: Theory and Practice 2003, Cambridge University Press, Cambridge.
37. Hanski I., Mononen T. Eco-evolutionary dynamics of dispersal in spatially heterogeneous environments. Ecology Letters 2011, 14:1025-1034.
38. Haskard K.A., Lark R.M. Modeling non-stationarity variance of soil properties by tempering an empirical spectrum. Geoderma 2009, 153:18-28.
39. Hassler S.K., Lark R.M., Milne A.E., Elsenbeer H. Exploring the variation in soil saturated hydraulic conductivity under a tropical rainforest using the wavelet transform. European Journal of Soil Science 2011, 62:891-901.
40. Hengl T., Heuvelink G.B.M., Rossiter D.G. About regression-kriging: from equations to case studies. Computers and Geosciences 2007, 33:1301-1315.
41. Hengl T., Heuvelink G.B.M., Stein A. A generic framework for spatial prediction of soil variables based on regression-kriging. Geoderma 2004, 120:75-93.
42. Jacobi M.N., Jonsson P.R. Optimal networks of nature reserves can be found through eigenvalue perturbation theory of the connectivity matrix. Ecological Applications 2011, 21:1861-1870.
43. James P.M.A., Fleming R.A., Fortin M.-J. Identifying significant scale-specific spatial boundaries using wavelets and null models: spruce budworm defoliation in Ontario, Canada as a case study. Landscape Ecology 2010, 25:873-887.
44. James P.M.A., Murray B.W., Hamelin R.C., Coltman D.W., Sperling F.A.H. Spatial genetic structure of a symbiotic beetle-fungal system: toward multi-taxa integrated landscape genetics. PLoS ONE 2011, 6(10):e25359.
45. James P.M.A., Sturtevant B.R., Townsend P., Wolter P., Fortin M.-J. Two-dimensional wavelet analysis of spruce budworm host basal area in the Border Lakes landscape. Ecological Applications 2011, 21:2197-2209.
46. Jombart T., Dray S., Dufour A.B. Finding essential scales of spatial variation in ecological data: a multivariate approach. Ecography 2009, 32:161-168.
47. Keitt T.H., Urban D.L. Scale-specific inference using wavelet. Ecology 2005, 86:2497-2504.
48. Laita A., Kotiaho J.S., Monkkonen M. Graph-theoretic connectivity measures: what do they tell us about connectivity?. Landscape Ecology 2011, 26:951-967.
49. Lark R.M., Webster R. Changes in variance and correlation of soil properties with scale and location: analysis using an adapted maximal overlap discrete wavelet transform. European Journal of Soil Science 2001, 52:547-562.
50. Lees A.C., Peres C.A. Gap-crossing movements predict species occupancy in Amazonian forest fragments. Oikos 2009, 118:280-290.
51. Levin S.A. The problem of pattern and scale in ecology. Ecology 1992, 73:1943-1967.
52. Mallat S. A Wavelet Tour of Signal Processing 1999, Academic Press, New York, New York. second ed.
53. McIntire E.J.B., Fajardo A. Beyond description: the active and effective way to infer processes from spatial patterns. Ecology 2009, 90:46-56.
54. Pascual-Hortal L., Saura S. Integrating landscape connectivity in broad-scale forest planning through a new graph-based habitat availability methodology: application to capercaillie (Tetrao urogallus) in Catalonia (NE Spain). European Journal of Forest Research 2008, 127:23-31.
55. Peres-Neto P.R., Legendre P. Estimating and controlling for spatial autocorrelation in the study of ecological communities. Global Ecology and Biogeography 2010, 19:174-184.
56. Philibert M.D., Fortin M.-J., Csillag F. Spatial structure effects on the detection of patches boundaries using local operators. Environmental and Ecological Statistics 2008, 15:447-467.
57. Rayfield B., Fall A., Fortin M.-J. The sensitivity of least-cost habitat graphs to relative cost surface values. Landscape Ecology 2010, 25:519-532.
58. Rayfield B., Fortin M.-J., Fall A. Connectivity for conservation: a framework to classify habitat network statistics. Ecology 2011, 92:847-858.
59. Real L.A., Biek R. Spatial dynamics and genetics of infectious diseases on heterogeneous landscapes. Journal of the Royal Society Interface 2007, 4:935-948.
60. Richard Y., Armstrong D.P. Cost distance modelling of landscape connectivity and gap-crossing ability using radio-tracking data. Journal of Applied Ecology 2010, 47:603-610.
61. Saura S., Torné J. Conefor sensinode 2.2: a software package for quantifying the importance of habitat patches for landscape connectivity. Environmental Modelling & Software 2009, 24:135-139.
62. Torrence C., Compo G.P. A practical guide to wavelet analysis. Bulletin of the American Meteorological Society 1998, 79:61-78.
63. Treml E.A., Halpin P.N., Urban D.L., Pratson L.F. Modeling population connectivity by ocean currents, a graph-theoretic approach for marine conservation. Landscape Ecology 2008, 23:19-36.
64. Urban D.L., Keitt T.H. Landscape connectivity: a graph-theoretic perspective. Ecology 2001, 82:1205-1218.
65. Urban D.L., Minor E.S., Treml E.A., Schick R.S. Graph models of habitat mosaics. Ecology Letters 2009, 12:260-273.
66. Wackernagel H. Multivariate Geostatistics 2003, Kindle Edition.
67. Wagner H.H., Fortin M.-J. Spatial analysis of landscapes: concepts and statistics. Ecology 2005, 86:1975-1987.