Original Articles

Review on Soft Spatial Data and its Spatial Interpolation Methods

Expand
  • 1. Institute of Geographic Sciences and Natural Resources Research, Chinese Academy of Sciences, Beijing 100101, China;
    2. Graduate University of Chinese Academy of Sciences, Beijing 100049, China;
    3. Key Laboratory of Geographic Information Science, Ministry of Education, Shanghai 20062, China

Online published: 2009-09-25

Abstract

In recent years, as the observation technologies develop rapidly, both type and number of spatial data is increasing, and information retrieved from spatial data expands increasingly, among which includes a large number of qualitative information, for instance, land-use type data, vegetation type data, topographic feature data, which some experts called soft information or soft data. These so-called soft data often have associations with the predicted target variable, even could become one of most important factors that influence the spatial distribution of target variable obviously in some cases, therefore, they can help improve prediction of target variable theoretically. However, in respect that non-numerical soft data can’t be calculated directly and is neglected by traditional spatial interpolation methods, connotative useful information can not be utilized sufficiently and effectively, which results in a mass of wasted information. Lately, soft spatial interpolation technology was proposed, aimed to integrate soft spatial data as auxiliary or second information to help improve interpolation accuracy. According to the characteristics and categories of soft spatial data, this paper aimed to review on soft spatial interpolation methods and their applications. Firstly, we summarized some “harden” methods, hardening the soft spatial data to hard data. Then, we discussed several different type soft spatial interpolation methods afterward, such as simple kriging, cokriging, indicator kriging, ordinary kriging, stratified kriging, kriging with external drift regression, bayesian maximum entropy, inverse distance weighted. After that, prospects of application of soft data and soft spatial interpolations were proposed in the last part.

Cite this article

LUO Ming1,2, PEI Tao1,3 . Review on Soft Spatial Data and its Spatial Interpolation Methods[J]. PROGRESS IN GEOGRAPHY, 2009 , 28(5) : 663 -672 . DOI: 10.11820/dlkxjz.2009.05.003

References


[1]  Lam N S N. Spatial Interpolation Methods: A Review. American Cartographer, 1983, 10(2): 129-149.

[2]  Myers D E. Spatial Interpolation: An Overview. 1st Conference of the Working-Group-on-Pedometrics of the International-Society-of-Soil-Science - Pedometrics-92: Developments in Spatial Statistics for Soil Science, Wageningen, Netherlands, 1992.

[3]  Jeffrey S J, Carter J O, Moodie K B, et al. Using Spatial Interpolation to Construct a Comprehensive Archive of Australian Climate Data. Environmental Modelling & Software, 2001, 16(4): 309-330.

[4]  侯景儒, 肖斌, 赵鹏大. 地质统计学新进展. 地球科学进展, 2000, 15(3): 293-296.

[5]  柏延臣, 孙英君, 王劲峰. 地统计学方法进展研究. 地球科学进展, 2004, 19(2): 268-274.

[6]  刀谞, 郭怀成, 周丰. 地统计方法学研究进展. 地理研究, 2008, 27(5): 1191-1202.

[7]  Dowd P A. A Review of Recent Developments in Geostatistics. Computers & Geosciences, 1991, 17(10): 1481-1500.

[8]  Goovaerts P. Geostatistics for Natural Resources Evalu-ation. New York: Oxford University Press, 1997.

[9]  Juang K W, Lee D Y. A Comparison of Three Kriging Methods Using Auxiliary Variables in Heavy-Metal Contaminated Soils. Journal of Environmental Quality, 1998, 27(2): 355-363.

[10] 姜勇, 李琪, 张晓珂,等. 利用辅助变量对污染土壤锌分布的克里格估值. 应用生态学报, 2006, 17(1): 97-101.

[11] McBratney A B, Santos M L M, Minasny B, et al. On Digital Soil Mapping. Geoderma, 2003, 117(1-2): 3-52.

[12] Chilès J P, Pierre D. Geostatistics: Modeling Spatial Uncertainty. New York: Wiley-Interscience, 1999.

[13] Myers D. E. Interpolation of Spatial Data: Some Theory for Kriging. International Journal of Geographical Information Science, 2002, 16(2): 205-207.

[14] Webster R, Oliver M A. Geostatistics for Environmental Scientists. New York: John Wiley, 2007.

[15] Journel A G. Constrained Interpolation and Qualitative Information: the Soft Kriging Approach. Mathematical Geology, 1986, 18(3): 269-286.

[16] Hendriks L A M, Leummens H, Stein A, et al. Use of Soft Data in a GIS to Improve Estimation of the Volume of Contaminated Soil. Water, Air and Soil Pollution, 1996, 101: 217-234.

[17] Goovaerts P. Geostatistics in Soil Science: State-of-the-Art and Perspectives. Geoderma, 1999, 89: 1-45.

[18] Bogaert P, D’Or D. Estimating Soil Properties from Thematic Soil Maps: The Bayesian Maximum Entropy Approach. Soil Science Society of America Journal, 2002, 66: 1492-1451.

[19] Brus D J, Bogart P, Heuvelink G B M, et al. Bayesian Maximum Entropy Prediction of Soil Categories Using a Traditional Soil Map as Soft Information. European Journal of Soil Science, 2008, 59: 166-177.

[20] Seibert J, McDonnell J J. On the Dialog between Experimentalist and Modeler in Catchment Hydrology: Use of Soft Data for Multicriteria Model Calibration. Water Resources Research, 2002, 38(11): 1241-1254.

[21] D’Or D, Bogaert P. Continuous-Valued Map Reconstruction with the Bayesian Maximum Entropy. Geoderma, 2003, 112: 169-178.

[22] Serre M L, Christakos G, Lee S J, et al. Soft Data Space/Time Mapping of Coarse Particulate Matter Annual Arithmetic Average over the U.S. 4th European Conference on Geostatistics for Environmental Appli-cations, Barcelona Spain, 2002.

[23] Douaik A, Van Meirvenne M, Toth T, et al. Soil Salinity Mapping Using Spatio-Temporal Kriging and Bayesian Maximum Entropy with Interval Soft Data. Geoderma 2005, 128(3-4): 234-248.

[24] Emery X. Simulation of Geological Domains Using the Plurigaussian Model: New Developments and Computer Programs. Computers & Geosciences, 2007, 33(9): 1189-1201.

[25] Wu C F, Wu J P, Luo Y M, et al. Statistical and Geoestatistical Characterization of Heavy Metal Concen-trations in a Contaminated Area Taking into Account Soil Map Units. Geoderma, 2008, 144(1-2): 171-179.

[26] Tan M Z, Xu F M, Chen J, et al. Spatial Prediction of Heavy Metal Pollution for Soils in Peri-Urban Beijing, China Based on Fuzzy Set Theory. Pedosphere, 2006, 16(5): 545-554.

[27] Goovaerts P. Geostatistical Approaches for Incorporating Elevation into the Spatial Interpolation of Rainfall. Journal of Hydrology, 2000, 228(1-2): 113-129.

[28] Zhu H, Journel A G. Indicator Conditioned Estimator. Transactions, Society for Mining, Metallurgy and Exploration, Inc., 1989, 286: 1880-1886.

[29] Almeida A S,Journel A G. Joint Simulation of Multiple-Variables with a Markov-Type Coregionalization Model. Mathematical Geology, 1994, 26(5): 565-588.

[30] W Xu, T Tran, M Srivastava R, et al. Integrating Seismic Data in Reservoir Modeling: The Collocated Cokriging Alternative. Society of Petroleum Engineers, 1992, 24742: 833-842.

[31] Goovaerts P. Ordinary Cokriging Revisited. Mathematical Geology, 1998, 30(1): 21-42.

[32] Journel A G. Nonparametric Estimation of Spatial Distributions. Mathematical Geology,1983,15(3): 445-468.

[33] Jerosch K, Schluter M, Pesch R. Spatial Analysis of Marine Categorical Information Using Indicator Kriging Applied to Georeferenced Video Mosaics of the Deep-Sea Hakon Mosby Mud Volcano. Ecological Informatics, 2006, 1(4): 391-406.

[34] Goovaerts P, Journel A G. Integrating Soil Map Information in Modelling the Spatial Variation of Continuous Soil Properties. European Journal of Soil Science 1995, 46(3): 397-414.

[35] Triantafilis J, Odeh I O A, Warr B, et al. Mapping of Salinity Risk in the Lower Namoi Valley Using Non-Linear Kriging Methods. Agricultural Water Management, 2004, 69(3): 203-229.

[36] Pardo-Iguzquiza E, Dowd P A. Multiple Indicator Cokriging with Application to Optimal Sampling for Environmental Monitoring. Computers & Geosciences, 2005, 31(1): 1-13.

[37] Lyon S W, Lembo A J, Walter M T, et al. Defining Probability of Saturation with Indicator Kriging on Hard and Soft Data. Advances in Water Resources, 2006, 29 (2): 181-193.

[38] Goovaerts P, Journel A G. Integrating Soil Map Information in Modeling the Spatial Variation of Continuous Soil Properties. European Journal of Soil Science, 1995, 46(3): 397-414.

[39] Brus D J, de Gruijter J J, Walvoort D J J, et al. Mapping the Probability of Exceeding Critical Thresholds for Cadmium Concentrations in Soils in the Netherlands. Journal of Environmental Quality, 2002,31(6):1875-1884.

[40] Park N W, Chi K H, Kwon B D, et al. Geostatistical Integration of Spectral and Spatial Information for Land-Cover Mapping Using Remote Sensing Data. Geosciences Journal, 2003, 7(4): 335-341.

[41] Ungaro F, Ragazzi F, Cappellin R, et al. Arsenic Concentration in the Soils of the Brenta Plain (Northern Italy):Mapping the Probability of Exceeding Contamination Thresholds. Journal of Geochemical Exploration, 2008, 96(2-3): 117-131.

[42] Zhu H, Journel A G. Formatting and Integrating Soft Data -Stochastic Imaging Via the Markov-Bayes Algorithm. 4th International Geostatics Congress : Troia 92, Troy Portugal, 1992.

[43] Deutsch C V, Journel A G. GsLib: Geostatistical Software Library and User’s Guide. New York: Oxford University Press, 1998.

[44] Stein A, Hoogerwerf M, Bouma J, et al. Use of Map-Delineation to Improve Co-Kriging of Point Data on Moisture Deficits. Geoderma, 1988, 43: 311-325.

[45] Voltz M, Webster R. A Comparison of Kriging, Cubic-Splines and Classification for Predicting Soil Properties from Sample Information. Journal of Soil Science, 1990, 41(3): 473-490.

[46] Vanmeirvenne M, Scheldeman K, Baert G, et al. Quantification of Soil Textural Fractions of Bas-Zaire Using Soil Map Polygons and or Point Observations. Geoderma, 1994, 62: 69-82.

[47] Voltz M, Lagacherie P, Louchart X, et al. Predicting Soil Properties over a Region Using Sample Information from a Mapped Reference Area. European Journal of Soil Science, 1997, 48(1): 19-30.

[48] Lagacherie P, Voltz M. Predicting Soil Properties over a Region Using Sample Information from a Mapped Reference Area and Digital Elevation Data: A Conditional Probability Approach. Geoderma, 2000,97(3-4):187-208.

[49] Boucneau G, Van Meirvenne M, Thas O, et al. Integrating Properties of Soil Map Delineations into Ordinary Kriging. European Journal of Soil Science, 1998, 49: 213-229.

[50] Liu T L, Juang K W, Lee D Y, et al. Interpolating Soil Properties Using Kriging Combined with Categorical Information of Soil Maps. Soil Science Society of America Journal, 2006, 70(4): 1200-1209.

[51] Hengl T, Heuvelink G B M, Stein A, et al. A Generic Framework for Spatial Prediction of Soil Variables Based on Regression-Kriging. Geoderma, 2004, 120(1-2):75-93.

[52] Hudson G, Wackernagel H. Mapping Temperature Using Kriging with External Drift - Theory and an Example from Scotland. International Journal of Climatology, 1994, 14(1): 77-91.

[53] Bourennane H, King D, Chery P, et al. Improving the Kriging of a Soil Variable Using Slope Gradient as External Drift. European Journal of Soil Science, 1996, 47(4): 473-483.

[54] Monestiez P, Allard D, Navarro Sanchez I, et al. Kriging with Categorical External Drift: Use of Thematic Maps in Spatial Prediction and Application to Local Climate Interpolation for Agricultrure. geoENV98 - the Second European Conference on Geostatistics for Environmental Sciences, November 1998. Gómez-Hernández J, Soares AFroidevaux R. Valencia, Spain Springer: 163-174.

[55] Christakos G. A Bayesian Maximum Entropy View to the Spatial Estimation Problem. Mathematical Geology, 1990, 20: 763-787.

[56] Bogaert P. Spatial Prediction of Categorical Variables: The Bme Approach
[C]. 4th European Conference on Geostatistics for Environmental Applications, Barcelona, Spain, 2002.

[57] Bogaert P. Spatial Prediction of Categorical Variables: The Bayesian Maximum Entropy Approach. Stochastic Environmental Research and Risk Assessment, 2002, 16: 425-448.

[58] Lee S J, Wentz E A. Applying Bayesian Maximum Entropy to Extrapolating Local-Scale Water Consumption in Maricopa County, Arizona. Water Resources Research, 2008, 44: W01401.

[59] Ohlmacher G C, Davis J C. Using Multiple Logistic Regression and Gis Technology to Predict Landslide Hazard in Northeast Kansas, USA. Engineering Geology, 2003, 69(3-4): 331-343.

[60] Giasson E, Clarke R T, Inda A V, et al. Digital Soil Mapping Using Multiple Logistic Regression on Terrain Parameters in Southern Brazil. Scientia Agricola, 2006, 63(3): 262-268.

[61] Wang H B, Sassa K, Xu W Y. Assessment of Landslide Susceptibility Using Multivariate Logistic Regression: A Case Study in Southern Japan. Environmental & Engineering Geoscience, 2007, 13(2): 183-192.

[62] Brunsdon C, Fotheringham S, Charlton M, et al. Geographically Weighted Regression-Modelling Spatial Non-Stationarity. The Statistician, 1998, 47: 431-443.

[63] Tu J, Xia Z G. Examining Spatially Varying Relationships between Land Use and Water Quality Using Geographically Weighted Regression I: Model Design and Evaluation. Science of the Total Environment, 2008, 407(1): 358-378.

[64] Kasimov N, KoSheleva N, Wagner V, et al. Modeling Geochemical Fields Based on Landscape-Guided Interpolation. Ecological Modelling, 2008, 212(1-2): 109-115.

[65] 周成虎, 骆剑承,等. 高分辨率卫星遥感影像地学计算. 北京: 科学出版社, 2009.

Outlines

/