Prediction of soil properties by using geographically weighted regression at a regional scale
Xing Tan A , Peng-Tao Guo A B , Wei Wu C , Mao-Fen Li A and Hong-Bin Liu A DA College of Resources and Environment, Southwest University, Chongqing 400716, China.
B Rubber Research Institute, Chinese Academy of Tropical Agriculture Sciences, Dan Zhou, Hainan 571737, China.
C College of Computer and Information Science, Southwest University, Chongqing 400716, China.
D Corresponding author. Email: lhbin@swu.edu.cn
Soil Research 55(4) 318-331 https://doi.org/10.1071/SR16177
Submitted: 5 July 2016 Accepted: 15 December 2016 Published: 30 January 2017
Abstract
Detailed information about spatial distribution of soil properties is important in ecological modelling, environmental prediction, precision agriculture, and natural resources management, as well as land-use planning. In the present study, a recently developed method called geographically weighted regression (GWR) is applied to predict spatial distribution of soil properties (pH, soil organic matter, available nitrogen, available potassium) based on topographical indicators, climate factors, and geological stratum at a regional scale. In total, 1914 soil samples collected from a depth of 0–20 cm were used to calibrate and validate the models. Performances of the GWR models were compared with the traditional, ordinary least-squares (OLS) regression. The results indicated that the GWR models made significant improvements to model performances over OLS regression, based on F-test, coefficient of determination, and corrected Akaike information criterion. GWR models also improved the reliability of the soil–environment relationships by reducing the spatial autocorrelations in model residuals. Meanwhile, the use of GWR models disclosed that the relationships between soil properties and environmental variables were not invariant over space but exhibited significant spatial non-stationarity. Accordingly, the GWR models remarkably improved the prediction accuracies over the corresponding OLS models. The results demonstrated that GWR could serve as a useful tool for digital soil mapping in areas with complex terrain.
Additional keywords: environmental variables, spatial variability, Three Gorges Area.
References
Abdel-Kader FH (2013) Digital soil mapping using spectral and terrain parameters and statistical modeling integrated into GIS—Northwestern coastal region of Egypt. In ‘Developments in soil classification, land use planning and policy implications’. (Eds SA Shahid, FK Taha, MA Abdelfattah) pp. 353–371. (Springer: Dordrecht, Netherlands)Almagro M, López J, Boix-Fayos C, Albaladejo J, Martínez-Mena M (2010) Belowground carbon allocation patterns in a dry Mediterranean ecosystem: a comparison of two models. Soil Biology & Biochemistry 42, 1549–1557.
| Belowground carbon allocation patterns in a dry Mediterranean ecosystem: a comparison of two models.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BC3cXptlCru7Y%3D&md5=eb4f19c75dbe90275b14d96bd147da66CAS |
Anselin L, Syabri I, Kho Y (2006) GeoDa: an introduction to spatial data analysis. Geographical Analysis 38, 5–22.
| GeoDa: an introduction to spatial data analysis.Crossref | GoogleScholarGoogle Scholar |
Band LE, Moore ID (1995) Scale: landscape attributes and geographical information systems. Hydrological Processes 9, 401–422.
| Scale: landscape attributes and geographical information systems.Crossref | GoogleScholarGoogle Scholar |
Beven KJ, Kirkby MJ (1979) A physically based, variable contributing area model of basin hydrology. Hydrological Sciences Bulletin 24, 43–69.
Brunsdon C, Fotheringham AS, Charlton M (1996) Geographically weighted regression: a method for exploring spatial nonstationarity. Geographical Analysis 28, 281–298.
| Geographically weighted regression: a method for exploring spatial nonstationarity.Crossref | GoogleScholarGoogle Scholar |
Chaplot V, Walter C, Curmi P (2000) Improving soil hydromorphy prediction according to DEM resolution and available pedological data. Geoderma 97, 405–422.
| Improving soil hydromorphy prediction according to DEM resolution and available pedological data.Crossref | GoogleScholarGoogle Scholar |
de la Rosa D, Anaya-Romero M, Diaz-Pereira E, Heredia N, Shahbazi F (2009) Soil-specific agro-ecological strategies for sustainable land use – a case study by using MicroLEIS DSS in Sevilla Province (Spain). Land Use Policy 26, 1055–1065.
| Soil-specific agro-ecological strategies for sustainable land use – a case study by using MicroLEIS DSS in Sevilla Province (Spain).Crossref | GoogleScholarGoogle Scholar |
Dobriyal P, Qureshi A, Badola R, Hussain SA (2012) A review of the methods available for estimating soil moisture and its implications for water resource management. Journal of Hydrology 458–459, 110–117.
| A review of the methods available for estimating soil moisture and its implications for water resource management.Crossref | GoogleScholarGoogle Scholar |
FAO (1999) World reference base for soil resources. World Soil Resources Report No. 84, ISSS-ISRIC-FAO, Rome.
Fotheringham AS, Brunsdon C, Charlton M (2002) ‘Geographically weighted regression: the analysis of spatially varying relationships.’ (Wiley: Chichester, UK)
Gessler PE, Moore ID, McKenzie NJ, Ryan PJ (1995) Soil–landscape modelling and the spatial prediction of soil attributes. International Journal of Geographical Information Systems 9, 421–432.
| Soil–landscape modelling and the spatial prediction of soil attributes.Crossref | GoogleScholarGoogle Scholar |
Gessler PE, Chadwick OA, Chamran F, Althouse LD, Holmes KW (2000) Modeling soil–landscape and ecosystem properties using terrain attributes. Soil Science Society of America Journal 64, 2046–2056.
| Modeling soil–landscape and ecosystem properties using terrain attributes.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BD3MXhsFSluw%3D%3D&md5=55783d66857e8d076fea18377a9b5cc3CAS |
Guo PT, Wu W, Liu HB, Li MF (2011) Effects of land use and topographical attributes on soil properties in an agricultural landscape. Soil Research 49, 606–613.
| Effects of land use and topographical attributes on soil properties in an agricultural landscape.Crossref | GoogleScholarGoogle Scholar |
Hastie T, Tibshirani R, Friedman J (2001) ‘The elements of statistical learning: data mining, inference and prediction.’ (Springer-Verlag: New York, NY)
Hijmans RJ, Cameron SE, Parra JL, Jones PG, Jarvis A (2005) Very high resolution interpolated climate surfaces for global land areas. International Journal of Climatology 25, 1965–1978.
| Very high resolution interpolated climate surfaces for global land areas.Crossref | GoogleScholarGoogle Scholar |
Holt JB, Lo CP (2008) The geography of mortality in the Atlanta metropolitan area. Computers, Environment and Urban Systems 32, 149–164.
| The geography of mortality in the Atlanta metropolitan area.Crossref | GoogleScholarGoogle Scholar |
Kumar S, Lal R, Liu D (2012) A geographically weighted regression kriging approach for mapping soil organic carbon stock. Geoderma 189–190, 627–634.
| A geographically weighted regression kriging approach for mapping soil organic carbon stock.Crossref | GoogleScholarGoogle Scholar |
Kupfer JA, Farris CA (2007) Incorporating spatial non-stationarity of regression coefficients into predictive vegetation models. Landscape Ecology 22, 837–852.
| Incorporating spatial non-stationarity of regression coefficients into predictive vegetation models.Crossref | GoogleScholarGoogle Scholar |
Lloyd CD (2010) Nonstationary models for exploring and mapping monthly precipitation in the United Kingdom. International Journal of Climatology 30, 390–405.
López-Lozano R, Casterad MA, Herrero J (2010) Site-specific management units in a commercial maize plot delineated using very high resolution remote sensing and soil properties mapping. Computers and Electronics in Agriculture 73, 219–229.
| Site-specific management units in a commercial maize plot delineated using very high resolution remote sensing and soil properties mapping.Crossref | GoogleScholarGoogle Scholar |
Lu RK (2000) ‘Methods of soil and agricultural chemical analysis.’ (China Agricultural Science and Technology Press: Beijing) [in Chinese]
McBratney AB, Santos ML, Minasny B (2003) On digital soil mapping. Geoderma 117, 3–52.
| On digital soil mapping.Crossref | GoogleScholarGoogle Scholar |
Mei CL, Wang N, Zhang WX (2006) Testing the importance of the explanatory variables in a mixed geographically weighted regression model. Environment & Planning A 38, 587–598.
| Testing the importance of the explanatory variables in a mixed geographically weighted regression model.Crossref | GoogleScholarGoogle Scholar |
Mishra U, Lal R, Liu D, Van Meirvenne M (2010) Predicting the spatial variation of the soil organic carbon pool at a regional scale. Soil Science Society of America Journal 74, 906–914.
| Predicting the spatial variation of the soil organic carbon pool at a regional scale.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BC3cXmtVWmsL4%3D&md5=a4a55309e7040f20b0eec2beec05d1cdCAS |
Moore ID, Gessler PE, Nielsen GA, Peterson GA (1993) Soil attributes prediction using terrain analysis. Soil Science Society of America Journal 57, 443–452.
| Soil attributes prediction using terrain analysis.Crossref | GoogleScholarGoogle Scholar |
Nelson DW, Sommers LE (1975) A rapid and accurate method for estimating organic carbon in soil. Proceedings of the Indiana Academy of Sciences 84, 456–462.
Omuto CT, Vargas RR (2015) Re-tooling of regression kriging in R for improved digital mapping of soil properties. Geosciences Journal 19, 157–165.
| Re-tooling of regression kriging in R for improved digital mapping of soil properties.Crossref | GoogleScholarGoogle Scholar |
Qin CZ, Lu YJ, Bao LL, Zhu AX, Qiu WL, Cheng WM (2009) Simple digital terrain analysis software (SimDTA 1.0) and its application in fuzzy classification of slope positions. Journal of Geo-Information Science 11, 737–743.
| Simple digital terrain analysis software (SimDTA 1.0) and its application in fuzzy classification of slope positions.Crossref | GoogleScholarGoogle Scholar | [In Chinese]
Qiu Y, Fu B, Wang J, Chen L, Meng Q, Zhang Y (2010) Spatial prediction of soil moisture content using multiple-linear regressions in a gully catchment of the Loess Plateau, China. Journal of Arid Environments 74, 208–220.
| Spatial prediction of soil moisture content using multiple-linear regressions in a gully catchment of the Loess Plateau, China.Crossref | GoogleScholarGoogle Scholar |
Quinn PF, Beven KJ, Lamb R (1995) The ln(a/tanβ) index: how to calculate it and how to use it within the TOPMODEL framework. Hydrological Processes 9, 161–182.
| The ln(a/tanβ) index: how to calculate it and how to use it within the TOPMODEL framework.Crossref | GoogleScholarGoogle Scholar |
Quinn T, Zhu AX, Burt JE (2005) Effects of detailed soil spatial information on watershed modeling across different model scales. International Journal of Applied Earth Observation and Geoinformation 7, 324–338.
| Effects of detailed soil spatial information on watershed modeling across different model scales.Crossref | GoogleScholarGoogle Scholar |
Sahrawat KL, Wani SP, Pathak P, Rego TJ (2010) Managing natural resources of watersheds in the semi-arid tropics for improved soil and water quality: a review. Agricultural Water Management 97, 375–381.
| Managing natural resources of watersheds in the semi-arid tropics for improved soil and water quality: a review.Crossref | GoogleScholarGoogle Scholar |
Sktdmore AK (1990) Terrain position as mapped from a gridded digital elevation model. International Journal of Geographical Information Systems 4, 33–49.
| Terrain position as mapped from a gridded digital elevation model.Crossref | GoogleScholarGoogle Scholar |
Song XDJ, Brus D, Liu F, Li DC, Zhao YG, Yang JL, Zhang GL (2016) Mapping soil organic carbon content by geographically weighted regression: a case study in the Heihe River Basin, China. Geoderma 261, 11–22.
| Mapping soil organic carbon content by geographically weighted regression: a case study in the Heihe River Basin, China.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BC2MXhtFOlurnK&md5=198c72201770c19afe08509fb36e3ac0CAS |
Thompson JA, Kolka RK (2005) Soil carbon storage estimation in a central hardwood forest watershed using quantitative soil-landscape modeling. Soil Science Society of America Journal 69, 1086–1093.
| Soil carbon storage estimation in a central hardwood forest watershed using quantitative soil-landscape modeling.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BD2MXmvV2ltrw%3D&md5=d0c112b10690abf92e89801beda894d0CAS |
Tu J, Xia ZG (2008) Examining spatially varying relationships between land use and water quality using geographically weighted regression I: model design and evaluation. The Science of the Total Environment 407, 358–378.
| Examining spatially varying relationships between land use and water quality using geographically weighted regression I: model design and evaluation.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BD1cXhsVWiu7fM&md5=8f74105be5e04ca42c67793f0f80cb50CAS |
Varella H, Guérif M, Buis S, Beaudoin N (2010) Soil properties estimation by inversion of a crop model and observation on crops improves the prediction of agro-environmental variables. European Journal of Agronomy 33, 139–147.
| Soil properties estimation by inversion of a crop model and observation on crops improves the prediction of agro-environmental variables.Crossref | GoogleScholarGoogle Scholar |
Vitharana UWA, Meirvenne MV, Simpson D, Cockx L, Baerdemaeker JD (2008) Key soil and topographic properties to delineate potential management classes for precision agriculture in the European loess area. Geoderma 143, 206–215.
| Key soil and topographic properties to delineate potential management classes for precision agriculture in the European loess area.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BD2sXhsVentrfJ&md5=a2d3c51934fe041feb073fc181f9143dCAS |
Wang H (2002) Assessment and prediction of overall environmental quality of Zhuzhou City, Hunan Province, China. Journal of Environmental Management 66, 329–340.
| Assessment and prediction of overall environmental quality of Zhuzhou City, Hunan Province, China.Crossref | GoogleScholarGoogle Scholar |
Wang Q, Ni J, Tenhunen J (2005) Application of a geographically-weighted regression analysis to estimate net primary production of Chinese forest ecosystems. Global Ecology and Biogeography 14, 379–393.
| Application of a geographically-weighted regression analysis to estimate net primary production of Chinese forest ecosystems.Crossref | GoogleScholarGoogle Scholar |
Wang HJ, Shi XZ, Yu DS, Weindorf DC, Huang B, Sun WX, Ritsema CJ, Milne E (2009) Factors determining soil nutrient distribution in a small-scaled watershed in the purple soil region of Sichuan Province, China. Soil & Tillage Research 105, 300–306.
| Factors determining soil nutrient distribution in a small-scaled watershed in the purple soil region of Sichuan Province, China.Crossref | GoogleScholarGoogle Scholar |
Wang K, Zhang C, Li W (2012) Comparison of geographically weighted regression and regression kriging for estimating the spatial distribution of soil organic matter. GIScience & Remote Sensing 49, 915–932.
| Comparison of geographically weighted regression and regression kriging for estimating the spatial distribution of soil organic matter.Crossref | GoogleScholarGoogle Scholar |
Wang K, Zhang C, Li W (2013) Predictive mapping of soil total nitrogen at a regional scale: a comparison between geographically weighted regression and cokriging. Applied Geography (Sevenoaks, England) 42, 73–85.
| Predictive mapping of soil total nitrogen at a regional scale: a comparison between geographically weighted regression and cokriging.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BC2cXmslChtrk%3D&md5=db399abc6130b1a0f5f86945cdcecf2fCAS |
Yang X, Tang G, Xiao C, Gao Y, Zhu S (2011) The scaling method of specific catchment area from DEMs. Journal of Geographical Sciences 21, 689–704.
| The scaling method of specific catchment area from DEMs.Crossref | GoogleScholarGoogle Scholar |
Zhang C, Tang Y, Xu X, Kiely G (2011) Towards spatial geochemical modelling: use of geographically weighted regression for mapping soil organic carbon contents in Ireland. Applied Geochemistry 26, 1239–1248.
| Towards spatial geochemical modelling: use of geographically weighted regression for mapping soil organic carbon contents in Ireland.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BC3MXmsVWrtLg%3D&md5=e0e35a2ecc1f4c88da235bbec4d53fd0CAS |
Zhang S, Huang Y, Shen C, Ye H, Du Y (2012) Spatial prediction of soil organic matter using terrain indices and categorical variables as auxiliary information. Geoderma 171–172, 35–43.
| Spatial prediction of soil organic matter using terrain indices and categorical variables as auxiliary information.Crossref | GoogleScholarGoogle Scholar |
Zhu AX, Mackay DS (2001) Effects of spatial detail of soil information on watershed modeling. Journal of Hydrology 248, 54–77.
| Effects of spatial detail of soil information on watershed modeling.Crossref | GoogleScholarGoogle Scholar |
Zhu AX, Qi F, Moore A, Burt JE (2010) Prediction of soil properties using fuzzy membership values. Geoderma 158, 199–206.
| Prediction of soil properties using fuzzy membership values.Crossref | GoogleScholarGoogle Scholar |
Ziadat FM (2005) Analyzing digital terrain attributes to predict soil attributes for a relatively large area. Soil Science Society of America Journal 69, 1590–1599.
| Analyzing digital terrain attributes to predict soil attributes for a relatively large area.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BD2MXhtVWis7bN&md5=49e9fc26f708247be2c6d1b388109983CAS |