Incorporating Spatial Dependence in Predictive Vegetation Models: Residual Interpolation Methods

Literature Cited

• Akaike , H. 1973 . “ Information theory and an extension of the maximum likelihood ” . In 2nd International Symposium of Information Theory Budapest
   Google Scholar
• Austin , M. P. 2002 . Spatial prediction of species distribution: An interface between ecological theory and statistical modeling . Ecological Modelling , 157 : 101 – 18 . 10.1016/S0304-3800(02)00205-3
   Web of Science ®Google Scholar
• Austin , M. P. and Heyligers , P. C. 1989 . Vegetation survey design for conservation: Gradsect sampling of forests in Northeast New South Wales . Biological Conservation , 50 : 13 – 32 . 10.1016/0006-3207(89)90003-7
   Web of Science ®Google Scholar
• Austin , M. P. , Nicholls , A. O. , Doherty , M. D. and Meyers , J. A. 1994 . Determining species response functions to an environmental gradient by means of a beta-function . Journal of Vegetation Science , 5 : 215 – 28 .
   Web of Science ®Google Scholar
• Austin , M. P. and Smith , T. M. 1989 . A new model for the continuum concept . Vegetatio , 83 : 35 – 47 . 10.1007/BF00031679
   Google Scholar
• Beatley , J. 1975 . Climates and vegetation pattern across the Mojave/Great Basin Desert transition of Southern Nevada . The American Midland Naturalist , 93 (1) : 53 – 70 .
   Web of Science ®Google Scholar
• Beers , T. W. , Dress , P. E. and Wensel , L. C. 1966 . Aspect transformation in site productivity research . Journal of Forestry , 64 : 691 – 92 .
   Web of Science ®Google Scholar
• Beven , K. and Kirkby , M. 1979 . A physically based variable contributing area model of basin hydrology . Hydrological Sciences Bulletin , 24 : 43 – 69 .
   Google Scholar
• Bishop , T. F. A. and McBratney , A. B. 2001 . A comparison of prediction methods for the creation of field-extent soil property maps . Geoderma , 103 : 149 – 60 .
   Web of Science ®Google Scholar
• Borcard , D. , Legendre , P. and Drapeau , P. 1992 . Partialling out the spatial component of ecological variation . Ecology , 73 : 1045 – 55 .
   Web of Science ®Google Scholar
• Breiman , L. , Freedman , J. , Olshen , R. and Stone , C. 1984 . Classification and regression trees , Belmont, CA : Wadsworth International Group .
   Google Scholar
• Brown , D. 1994 . Predicting vegetation types at treeline using topography and biophysical disturbance variables . Journal of Vegetation Science , 5 : 641 – 56 .
   Web of Science ®Google Scholar
• Cairns , D. M. 2001 . A comparison of methods for predicting vegetation type . Plant Ecology , 156 : 3 – 18 .
   Web of Science ®Google Scholar
• Chapin , F. , Reynolds , H. , D'Antonio , C. and Eckhart , V. 1996 . “ The functional role of species in terrestrial ecosystems ” . In Global change and terrestrial ecosystems , Edited by: Walker , B. and Steffen , W. 30 Cambridge, U.K. : Cambridge University Press .
   Google Scholar
• Chong , G. W. , Reich , R. M. , Kalkhan , M. A. and Stohlgren , T. J. 2001 . New approaches for sampling and modeling native and exotic plant species richness . Western North American Naturalist , 61 : 328 – 35 .
   Web of Science ®Google Scholar
• Davis , F. and Goetz , S. 1990 . Modeling vegetation pattern using digital terrain data . Landscape Ecology , 4 (1) : 69 – 80 .
   Google Scholar
• DeLeo , J. 1993 . “ Receiver operating characteristic laboratory (ROCLAB): Software for developing decision strategies that account for uncertainty ” . In 2nd International Symposium on Uncertainty Modelling and Analysis , College Park, MD : IEEE Computer Society Press .
   Google Scholar
• Dokka , R. , Christenson , C. and Watts , J. 1999 . “ Geomorphic landform and surface composition GIS of the Mojave Desert Ecosystem in California ” . In Proceedings of the IV International Conference on GeoComputation 25–28 July 1999 39 – 40 . Fredericksburg, VA
   Google Scholar
• Dubayah , R. 1994 . Modeling a solar radiation topoclimatology for the Rio Grande River Basin . Journal of Vegetation Science , 5 : 627 – 40 .
   Web of Science ®Google Scholar
• Elith , J. 2000 . “ Quantitative methods for modelling species habitat: comparative performance and an application to Australian plants ” . In Quantitative methods for conservation biology , Edited by: Ferson , S. and Burgman , M. A. 58 New York : Springer-Verlag .
   Google Scholar
• Fels , J. 1994 . Modeling and mapping potential vegetation using digital terrain data. PhD diss , Raleigh : North Carolina State University .
   Google Scholar
• Ferrier , S. , Drielsma , M. , Manion , G. and Watson , G. 2002 . Extended statistical approaches to modelling spatial pattern in biodiversity in north-east New South Wales. II. Community-level modelling . Biodiversity and Conservation , 11 : 2309 – 38 . 10.1023/A:1021374009951
   Web of Science ®Google Scholar
• Fielding , A. H. and Bell , J. F. 1997 . A review of methods for the assessment of prediction errors in conservation presence/absence models . Environmental Conservation , 24 (1) : 38 – 49 . 10.1017/S0376892997000088
   Web of Science ®Google Scholar
• Fischer , H. 1990 . Simulating the distribution of plant communities in an alpine landscape . Coenoses , 5 (1) : 37 – 43 .
   Google Scholar
• Florinsky , I. V. 1998 . Combined analysis of digital terrain models and remotely sensed data in landscape investigations . Progress in Physical Geography , 22 (1) : 33 – 60 . 10.1191/030913398673294292
   Web of Science ®Google Scholar
• Franklin , J. 1995 . Predictive vegetation mapping: Geographic modeling of biospatial patterns in relation to environmental gradients . Progress in Physical Geography , 19 : 474 – 99 .
   Web of Science ®Google Scholar
• Franklin , J. 1998 . Predicting the distributions of shrub species in California chaparral and coastal sage communities from climate and terrain-derived variables . Journal of Vegetation Science , 9 (5) : 733 – 48 .
   Web of Science ®Google Scholar
• Franklin , J. , Keeler-Wolf , T. , Thomas , K. , Shaari , D. , Stine , P. , Michaelsen , J. and Miller , J. 2001 . “ Stratified sampling for field survey of environmental gradients in the Mojave Desert Ecoregion ” . In GIS and remote sensing applications in biogeography and remote sensing , Edited by: Millington , A. , Walsh , S. and Osborne , P. 51 Dordrecht, the Netherlands : Kluwer Academic Publishers .
   Google Scholar
• Franklin , J. , McCullough , P. and Gray , C. 2000 . “ Terrain variables used for predictive mapping of vegetation communities in Southern California ” . In Terrain analysis: Principles and applications , Edited by: Wilson , J. and Gallant , J. 53 New York : Wiley .
   Google Scholar
• Goovaerts , P. 1997 . Geostatistics for natural resources evaluation , New York : Oxford University Press .
   Google Scholar
• Grossman , D. , Faber-Langendeon , D. , Weakley , A. , Anderson , M. , Bourgeron , P. , Crawford , R. , Goodin , K. , Landaal , S. , Metzler , K. , Patterson , K. , Pyne , M. , Reid , M. and Sneddon , L. 1998 . International classification of ecological communities: Terrestrial vegetation of the United States. The national vegetation classification system, development, status and applications , Washington, DC : The Nature Conservancy .
   Google Scholar
• Guisan , A. and Zimmermann , N. 2000 . Predictive habitat distribution models in ecology . Ecological Modelling , 135 : 147 – 86 . 10.1016/S0304-3800(00)00354-9
   Web of Science ®Google Scholar
• Hastie , T. , Tibshirani , R. and Friedman , J. 2001 . The elements of statistical learning: Data mining, inference and prediction , New York : Springer-Verlag .
   Google Scholar
• Hunt , C. B. 1966 . Plant ecology of Death Valley . Geological Survey Professional Paper , 509 : 1 – 68 .
   Google Scholar
• Knotters , M. , Brus , D. J. and Oude Voshaar , J. H. 1995 . A comparison of kriging, co-kriging and kriging combined with regression for spatial interpolation of horizon depth with censored observations . Geoderma , 67 : 227 – 46 . 10.1016/0016-7061(95)00011-C
   Web of Science ®Google Scholar
• Legendre , P. 1993 . Spatial autocorrelation: problem or new paradigm? . Ecology , 74 : 1659 – 73 .
   Web of Science ®Google Scholar
• Legendre , P. and Fortin , M. J. 1989 . Spatial pattern and ecological analysis . Vegetatio , 80 : 107 – 38 . 10.1007/BF00048036
   Google Scholar
• Lenihan , J. and Neilson , R. 1993 . A rule-based vegetation formation model for Canada . Journal of Biogeography , 20 : 615 – 28 .
   Google Scholar
• Manel , S. , Williams , H. C. and Ormerod , S. J. 2001 . Evaluating presence-absence models in ecology: the need to account for prevalence . Journal of Applied Ecology , 38 : 921 – 31 . 10.1046/j.1365-2664.2001.00647.x
   Web of Science ®Google Scholar
• McAuliffe , J. 1994 . Landscape evolution, soil formation, and ecological processes in Sonoran desert bajadas . Ecological Monographs , 64 (2) : 111 – 48 .
   Web of Science ®Google Scholar
• McCullagh , P. and Nelder , J. 1989 . Generalized linear models , London : Chapman & Hall .
   Google Scholar
• McMillen , D. P. 2003 . Spatial autocorrelation or model misspecification? . International Regional Science Review , 26 (2) : 208 – 17 . 10.1177/0160017602250977
   Web of Science ®Google Scholar
• Miller , J. and Franklin , J. 2002 . Modeling the distribution of four vegetation alliances using generalized linear models and classification trees with spatial dependence . Ecological Modelling , 157 : 227 – 47 . 10.1016/S0304-3800(02)00196-5
   Web of Science ®Google Scholar
• Moore , I. , Grayson , R. and Ladson , A. 1991 . Digital terrain modelling: A review of hydrological, geomorphological, and biological applications . Hydrological Processes , 5 : 3 – 30 .
   Web of Science ®Google Scholar
• Norris , R. and Webb , R. 1990 . Geology of California , New York : Wiley .
   Google Scholar
• Odeh , I. O. A. , McBratney , A. B. and Chittleborough , D. J. 1995 . Further results on prediction of soil properties from terrain attributes: Heterotropic cokriging and regression-kriging . Geoderma , 67 : 215 – 26 . 10.1016/0016-7061(95)00007-B
   Web of Science ®Google Scholar
• Parker , K. 1991 . Topography, substrate, and vegetation patterns in the northern Sonoran Desert . Journal of Biogeography , 18 : 151 – 63 .
   Web of Science ®Google Scholar
• Pearce , J. L. , Venier , L. A. , Ferrier , S. and McKenney , D. W. 2002 . “ Measuring prediction uncertainty in models of species distribution ” . In Predicting species occurrences: Issues of accuracy and scale , Edited by: Scott , J. , Heglund , P. and Morrison , M. 90 Washington, DC : Island Press .
   Google Scholar
• Rowlands , P. , Johnson , H. , Ritter , E. and Endo , A. 1982 . “ The Mojave Desert ” . In Reference handbook on the deserts of North America , Edited by: Bender , G. 62 Westport, CT : Greenwood Press .
   Google Scholar
• Schoenherr , A. 1992 . A natural history of California , Berkeley : University of California Press .
   Google Scholar
• Scott , J. , Davis , F. , Csuti , B. , Noss , R. , Butterfield , B. , Groves , C. , Anderson , H. , Caicco , S. , D'Erchia , F. , Edwards , T. , Ulliman , J. and Wright , R. 1993 . Gap analysis: A geographic approach to protection of biological diversity . Wildlife Monographs , 123 : 1 – 41 .
   Google Scholar
• Scull , P. R. 2002 . Predictive soil mapping in the Mojave Desert of California. PhD diss , San Diego State University .
   Google Scholar
• Smith , P. A. 1994 . Autocorrelation in logistic regression modeling of species' distributions . Global Ecology and Biogeography Letters , 4 : 47 – 61 .
   Web of Science ®Google Scholar
• Sokal , R. R. and Oden , N. L. 1978 . Spatial autocorrelation in biology 2. Some biological implications and four applications of evolutionary and ecological interest . Biological Journal of the Linnean Society , 10 : 229 – 49 .
   Web of Science ®Google Scholar
• Thomas , K. , Franklin , J. , Keeler-Wolf , T. and Stine , P. 2004 . Mojave Desert Ecosystem Program Central Mojave Vegetation Mapping Project , Flagstaff, AZ : USGS-BRD, DoD .
   Google Scholar
• Thomson , J. , Weiblen , G. , Thomson , B. , Alfaro , S. and Legendre , P. 1996 . Untangling multiple factors in spatial distributions: Lilies, gophers and rocks . Ecology , 77 (6) : 1698 – 715 .
   Google Scholar
• Tobler , W. 1979 . “ Cellular geography ” . In Philosophy in geography , Edited by: Gale , G. O. S. 89 Dordrecht, the Netherlands : Reidel .
   Google Scholar
• Valverde , P. , Zavala-Hurtado , A. , Montana , C. and Ezcurra , E. 1996 . Numerical analysis of vegetation based on environmental relationships in the Southern Chihuahuan Desert . The Southwestern Naturalist , 41 (4) : 424 – 33 .
   Web of Science ®Google Scholar
• Wilson , J. P. and Gallant , J. C. 1998 . “ Terrain-based approaches to environmental resource evaluation ” . In Landform monitoring, modelling and analysis , Edited by: Lane , S. N. , Richards , K. S. and Chandler , J. H. 40 Chichester, U.K. : Wiley .
   Google Scholar
• Yeaton , R. I. , Yeaton , R. W. , Waggoner , J. P. and Horenstein , J. E. 1985 . The ecology of Yucca (Agavaceae) over an environmental gradient in the Mojave Desert: Distribution and interspecific interactions . Journal of Arid Environments , 8 : 33 – 44 .
   Web of Science ®Google Scholar
• Zimmermann , N. and Kienast , F. 1999 . Predictive mapping of alpine grasslands in Switzerland: Species versus community approach . Journal of Vegetation Science , 10 : 469 – 82 .
   Web of Science ®Google Scholar