Effect of error in the DEM on environmental variables for predictive vegetation modelling

Abstract Question: Predictive vegetation modelling relies on the use of environmental variables, which are usually derived from a base data set with some level of error, and this error is propagated to any subsequently derived environmental variables. The question for this study is: What is the level of error and uncertainty in environmental variables based on the error propagated from a Digital Elevation Model (DEM) and how does it vary for both direct and indirect variables? Location: Kioloa region, New South Wales, Australia Methods: The level of error in a DEM is assessed and used to develop an error model for analysing error propagation to derived environmental variables. We tested both indirect (elevation, slope, aspect, topographic position) and direct (average air temperature, net solar radiation, and topographic wetness index) variables for their robustness to propagated error from the DEM. Results: It is shown that the direct environmental variable net solar radiation is less affected by error in the DEM than the indirect variables aspect and slope, but that regional conditions such as slope steepness and cloudiness can influence this outcome. However, the indirect environmental variable topographic position was less affected by error in the DEM than topographic wetness index. Interestingly, the results disagreed with the current assumption that indirect variables are necessarily less sensitive to propagated error because they are less derived. Conclusions: The results indicate that variables exhibit both systematic bias and instability under uncertainty. There is a clear need to consider the sensitivity of variables to error in their base data sets in addition to the question of whether to use direct or indirect variables. Abbreviations: AML = Arc/INFO Macro Language; DEM = Digital Elevation Model; GPS = Global Positioning System; HDOP = Horizontal Dilution of Precision; TWI = Topographic Wetness Index; VDOP = Vertical Dilution of Precision.

[1]  P. A. Shary,et al.  Land surface in gravity points classification by a complete system of curvatures , 1995 .

[2]  P. Burrough,et al.  Principles of geographical information systems , 1998 .

[3]  Antoine Guisan,et al.  Predictive habitat distribution models in ecology , 2000 .

[4]  S. Lavorel,et al.  Generalized models vs. classification tree analysis: Predicting spatial distributions of plant species at different scales , 2003 .

[5]  C. Thorne,et al.  Quantitative analysis of land surface topography , 1987 .

[6]  Brian G. Lees,et al.  Decision-tree and rule-induction approach to integration of remotely sensed and GIS data in mapping vegetation in disturbed or hilly environments , 1991 .

[7]  Daniel W. McKenney Calibration and sensitivity analysis of a spatially-distributed solar radiation model , 1999, Int. J. Geogr. Inf. Sci..

[8]  John P. Wilson,et al.  Terrain analysis : principles and applications , 2000 .

[9]  Takuji Nishimura,et al.  Mersenne twister: a 623-dimensionally equidistributed uniform pseudo-random number generator , 1998, TOMC.

[10]  Gerard B. M. Heuvelink,et al.  Propagation of errors in spatial modelling with GIS , 1989, Int. J. Geogr. Inf. Sci..

[11]  M. Ehlers,et al.  A framework for the modelling of uncertainty between remote sensing and geographic information systems , 2000 .

[12]  Gerard B. M. Heuvelink,et al.  Error Propagation in Cartographic Modelling Using Boolean Logic and Continuous Classification , 1993, Int. J. Geogr. Inf. Sci..

[13]  Ian D. Moore,et al.  Modelling environmental heterogeneity in forested landscapes , 1993 .

[14]  Ralph Dubayah,et al.  Topographic Solar Radiation Models for GIS , 1995, Int. J. Geogr. Inf. Sci..

[15]  I. Moore,et al.  Digital terrain modelling: A review of hydrological, geomorphological, and biological applications , 1991 .

[16]  Erik Næset Effects of Delineation Errors in Forest Stand Boundaries on Estimated Area and Timber Volumes , 1999 .

[17]  A. O. Nicholls How to make biological surveys go further with generalised linear models , 1989 .

[18]  J. Leathwick,et al.  Forest pattern, climate and vulcanism in central North Island, New Zealand , 1992 .

[19]  J. López-Blanco,et al.  Dry vegetation in relation to the physical environment in the Baja California Peninsula, Mexico , 2003 .

[20]  Shawn W. Laffan,et al.  Gambling with randomness: the use of pseudo-random number generators in GIS , 2003, Int. J. Geogr. Inf. Sci..

[21]  P. Kyriakidis,et al.  Error in a USGS 30-meter digital elevation model and its impact on terrain modeling , 2000 .

[22]  John R. Leathwick,et al.  Climatic relationships of some New Zealand forest tree species , 1995 .

[23]  Mike P. Austin,et al.  Models for the analysis of species’ response to environmental gradients , 1987 .

[24]  William H. Press,et al.  Numerical recipes in C. The art of scientific computing , 1987 .

[25]  Richard J. Aspinall,et al.  Adapting Regression Equations to Minimize the Mean Squared Error of Predictions Made Using Covariate Data from a GIS , 1997, Int. J. Geogr. Inf. Sci..

[26]  R. Plant,et al.  Classification trees: An alternative non‐parametric approach for predicting species distributions , 2000 .

[27]  Mike P. Austin,et al.  Continuum Concept, Ordination Methods, and Niche Theory , 1985 .

[28]  K. Jones A comparison of algorithms used to compute hill slope as a property of the DEM , 1998 .

[29]  C. Ginzler,et al.  Mapping alpine vegetation based on image analysis, topographic variables and Canonical Correspondence Analysis , 2003 .

[30]  A. O. Nicholls,et al.  Determining species response functions to an environmental gradient by means of a β‐function , 1994 .

[31]  A. O. Nicholls,et al.  Diversity of Eucalyptus species predicted by a multi-variable environmental gradient , 2004, Oecologia.

[32]  Jennifer A. Miller,et al.  Modeling the distribution of four vegetation alliances using generalized linear models and classification trees with spatial dependence , 2002 .

[33]  Philip C. Emmi,et al.  A Monte Carlo Simulation of Error Propagation in a GIS-Based Assessment of Seismic Risk , 1995, Int. J. Geogr. Inf. Sci..

[34]  Gerard B. M. Heuvelink,et al.  Error Propagation in Environmental Modelling with GIS , 1998 .

[35]  J. Franklin Predictive vegetation mapping: geographic modelling of biospatial patterns in relation to environmental gradients , 1995 .

[36]  Ian D. Moore,et al.  A quasi-dynamic wetness index for characterizing the spatial distribution of zones of surface saturation and , 1994 .

[37]  J. L. Vankat,et al.  The importance of environment vs. disturbance in the vegetation mosaic of Central Arizona , 2003 .

[38]  J. Franklin Predicting the distribution of shrub species in southern California from climate and terrain‐derived variables , 1998 .

[39]  F. Kienast,et al.  Predicting the potential distribution of plant species in an alpine environment , 1998 .

[40]  M. Austin,et al.  Current problems of environmental gradients and species response curves in relation to continuum theory , 1994 .

[41]  Peter F. Fisher,et al.  Improved Modeling of Elevation Error with Geostatistics , 1998, GeoInformatica.

[42]  Ross B. Cunningham,et al.  Altitudinal distribution of several eucalypt species in relation to other environmental factors in southern New South Wales , 1983 .

[43]  Stan Openshaw,et al.  Learning to live with errors in spatial databases , 1989 .

[44]  O. Kindvall The impact of extreme weather on habitat preference and survival in a metapopulation of the bush cricket Metrioptera bicolor in Sweden , 1995 .

[45]  S. Weiss,et al.  GLM versus CCA spatial modeling of plant species distribution , 1999, Plant Ecology.

[46]  John C. Gallant,et al.  TAPES-G: a grid-based terrain analysis program for the environmental sciences , 1996 .

[47]  Daniel A. Griffith,et al.  Error Propagation Modelling in Raster GIS: Overlay Operations , 1998, Int. J. Geogr. Inf. Sci..