Spatial Scaling for Digital Soil Mapping

We describe in this paper, a broad overview of spatial scale concepts and scaling procedures that are specifically relevant for digital soil mapping (DSM). Despite the recent growth and operational status of DSM, one existing and foreseeably growing issue for users of digital soil information is the inequality of spatial scales between what is required and what is actually available to adequately address soil-related questions posed from within and from outside the soil science community. In the absence of conducting new soil survey or not being able to acquire the original legacy soil information (soil point data) as a means of creating user-specified soil information products, spatial scaling provides a useful solution. Spatial scaling for DSM involves changes in map extent, grid-cell resolution, and prediction support. We review in this paper the different forms of spatial scaling, which are described in terms of changes to grid spacing and prediction support. Fine-gridding and coarse-gridding are operations where the grid spacing changes but support remains unchanged. Deconvolution and convolution are operations where the support always changes which may or may not involve changing the grid spacing. While disseveration and conflation operations occur when the support and grid size are equal and both are then changed equally and simultaneously. Some possible and existing pedometric methods are described for implementation of each scaling process, as is an extended example for performing convolution where the support changes yet the resolution remains the same.

[1]  Philippe Lagacherie,et al.  The utility of remotely-sensed vegetative and terrain covariates at different spatial resolutions in modelling soil and watertable depth (for digital soil mapping) , 2013 .

[2]  Jennifer L. Dungan,et al.  A balanced view of scale in spatial statistical analysis , 2002 .

[3]  A. Steina,et al.  Issues of scale for environmental indicators , 2001 .

[4]  Garrison Sposito,et al.  Upscaling and downscaling methods for environmental research , 2001 .

[5]  Budiman Minasny,et al.  Spatial prediction of topsoil salinity in the Chelif Valley, Algeria, using local ordinary kriging with local variograms versus whole-area variogram , 2001 .

[6]  M. Abdel-Hamid,et al.  SPATIAL PREDICTION OF SOIL SALINITY USING ELECTROMAGNETIC INDUCTION TECHNIQUES , 2015 .

[7]  Charles A. Laymon,et al.  Application of a Neural Network-Based Spatial Disaggregation Scheme for Addressing Scaling of Soil Moisture , 2003 .

[8]  Marcel R. Hoosbeek,et al.  Towards the quantitative modeling of pedogenesis — a review , 1992 .

[9]  William F Christensen,et al.  Filtered Kriging for Spatial Data with Heterogeneous Measurement Error Variances , 2011, Biometrics.

[10]  R. Reese Geostatistics for Environmental Scientists , 2001 .

[11]  Anthony N. Pettitt,et al.  Sampling Designs for Estimating Spatial Variance Components , 1993 .

[12]  Noel A Cressie,et al.  Statistics for Spatio-Temporal Data , 2011 .

[13]  Warren B. Cohen,et al.  Alternative spatial resolutions and estimation of carbon flux over a managed forest landscape in Western Oregon , 2000, Landscape Ecology.

[14]  R. Bilonick An Introduction to Applied Geostatistics , 1989 .

[15]  Scott M. Lesch,et al.  Spatial Prediction of Soil Salinity Using Electromagnetic Induction Techniques: 1. Statistical Prediction Models: A Comparison of Multiple Linear Regression and Cokriging , 1995 .

[16]  Budiman Minasny,et al.  A general method for downscaling earth resource information , 2012, Comput. Geosci..

[17]  A. McBratney,et al.  Optimal interpolation and isarithmic mapping of soil properties: V. Co-regionalization and multiple sampling strategy , 1983 .

[18]  R. Lark,et al.  Geostatistics for Environmental Scientists , 2001 .

[19]  Michael Edward Hohn,et al.  An Introduction to Applied Geostatistics: by Edward H. Isaaks and R. Mohan Srivastava, 1989, Oxford University Press, New York, 561 p., ISBN 0-19-505012-6, ISBN 0-19-505013-4 (paperback), $55.00 cloth, $35.00 paper (US) , 1991 .

[20]  B. Minasny,et al.  On digital soil mapping , 2003 .

[21]  Andreas Papritz,et al.  Modelling the spatial distribution of copper in the soils around a metal smelter in northwestern Switzerland , 2005 .

[22]  C. Gotway,et al.  Combining Incompatible Spatial Data , 2002 .

[23]  Linda J. Young,et al.  Linking spatial data from different sources: the effects of change of support , 2007 .

[24]  L. Lin,et al.  A concordance correlation coefficient to evaluate reproducibility. , 1989, Biometrics.

[25]  Tomislav Hengl,et al.  Finding the right pixel size , 2006, Comput. Geosci..

[26]  J. Delhomme Kriging in the hydrosciences , 1978 .

[27]  Günter Blöschl,et al.  Statistical Upscaling and Downscaling in Hydrology , 2006 .

[28]  Philippe Lagacherie,et al.  Using scattered hyperspectral imagery data to map the soil properties of a region , 2012 .

[29]  A. McBratney,et al.  Further results on prediction of soil properties from terrain attributes: heterotopic cokriging and regression-kriging , 1995 .

[30]  P Goovaerts,et al.  A coherent geostatistical approach for combining choropleth map and field data in the spatial interpolation of soil properties , 2011, European journal of soil science.

[31]  Sabine Grunwald,et al.  Digital Soil Mapping and Modeling at Continental Scales: Finding Solutions for Global Issues , 2011 .

[32]  N. Cressie,et al.  Spatial Statistical Data Fusion for Remote Sensing Applications , 2012 .

[33]  Günter Blöschl,et al.  On the spatial scaling of soil moisture , 1999 .

[34]  R. Webster,et al.  Optimal interpolation and isarithmic mapping of soil properties. II. Block kriging. , 1980 .

[35]  R. M. Lark,et al.  Exploring scale‐dependent correlation of soil properties by nested sampling , 2005 .

[36]  Gerard B. M. Heuvelink,et al.  Sampling for validation of digital soil maps , 2011 .

[37]  Alex. B. McBratney,et al.  Some considerations on methods for spatially aggregating and disaggregating soil information , 1998, Nutrient Cycling in Agroecosystems.

[38]  P. Goovaerts Combining Areal and Point Data in Geostatistical Interpolation: Applications to Soil Science and Medical Geography , 2010, Mathematical geosciences.

[39]  Linda J. Young,et al.  A Geostatistical Approach to Linking Geographically Aggregated Data From Different Sources , 2007 .

[40]  P. Kyriakidis A Geostatistical Framework for Area-to-Point Spatial Interpolation , 2004 .

[41]  Brett Whelan,et al.  Measuring the quality of digital soil maps using information criteria , 2001 .

[42]  M. Scheffer,et al.  Regime shifts in marine ecosystems: detection, prediction and management. , 2008, Trends in ecology & evolution.

[43]  Tom Addiscott,et al.  Simulation modelling and soil behaviour , 1993 .

[44]  Pierre Goovaerts,et al.  Kriging and Semivariogram Deconvolution in the Presence of Irregular Geographical Units , 2008, Mathematical geology.

[45]  Philippe Lagacherie,et al.  Digital Soil Mapping: A State of the Art , 2008 .

[46]  Montserrat Fuentes,et al.  Model Evaluation and Spatial Interpolation by Bayesian Combination of Observations with Outputs from Numerical Models , 2005, Biometrics.

[47]  Pierre Goovaerts,et al.  Disaggregation of legacy soil data using area to point kriging for mapping soil organic carbon at the regional scale. , 2012, Geoderma.

[48]  Alex B. McBratney,et al.  An overview of pedometric techniques for use in soil survey , 2000 .

[49]  D. J. Brus,et al.  Random sampling or geostatistical modelling? Choosing between design-based and model-based sampling strategies for soil (with discussion) , 1997 .

[50]  Edzer Pebesma,et al.  Spatial aggregation and soil process modelling , 1999 .

[51]  P. Crutzen Geology of mankind , 2002, Nature.

[52]  Noel A Cressie,et al.  Change of support and the modifiable areal unit problem , 1996 .

[53]  Tom Addiscott,et al.  New paradigms for modelling mass transfers in soils , 1998 .

[54]  P. Sánchez Tripling crop yields in tropical Africa , 2010 .

[55]  Johan Bouma,et al.  Soil and Water Quality at Different Scales , 1998, Developments in Plant and Soil Sciences.

[56]  D. Cox,et al.  An Analysis of Transformations , 1964 .

[57]  Thomas Maxwell,et al.  Resolution and predictability: An approach to the scaling problem , 1994, Landscape Ecology.