Journal of Integrative Agriculture ›› 2013, Vol. 12 ›› Issue (9): 1673-1683.DOI: 10.1016/S2095-3119(13)60395-0

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Spatial Interpolation of Soil Texture Using Compositional Kriging and Regression Kriging with Consideration of the Characteristics of Compositional Data and Environment Variables

 ZHANG Shi-wen, SHEN Chong-yang, CHEN Xiao-yang, YE Hui-chun, HUANG Yuan-fang , LAI Shuang   

  1. 1.China Agricultural University/Key Laboratory of Arable Land Conservation (North China), Minstry of Agriculture/Key Laboratory of Agricultural Land Quality Monitoring, Ministry of Land and Resources, Beijing 100193, P.R.China
    2.School of Earth and Environment, Anhui University of Science and Technology, Huainan 232001, P.R.China
    3.Afforestation Management Office, Sichuan Forestry Department, Chengdu 610081, P.R.China
  • 收稿日期:2012-10-16 出版日期:2013-09-01 发布日期:2013-09-15
  • 通讯作者: Correspondence HUANG Yuan-fang, Tel: +86-10-62732963, Fax: +86-10-62733596, E-mail:yfhuang@china.com
  • 作者简介:ZHANG Shi-wen, Tel: +86-554-6668430, E-mail: mamin1190@126.com
  • 基金资助:

    This work was supported by the National Natural Science Foundation of China (41071152), the Special Fund for Land and Resources Scientific Research in the Public Interest, China (201011006-3), and the Special Fund for Agro-Scientific Research in the Public Interest, China (201103005- 01-01).

Spatial Interpolation of Soil Texture Using Compositional Kriging and Regression Kriging with Consideration of the Characteristics of Compositional Data and Environment Variables

 ZHANG Shi-wen, SHEN Chong-yang, CHEN Xiao-yang, YE Hui-chun, HUANG Yuan-fang , LAI Shuang   

  1. 1.China Agricultural University/Key Laboratory of Arable Land Conservation (North China), Minstry of Agriculture/Key Laboratory of Agricultural Land Quality Monitoring, Ministry of Land and Resources, Beijing 100193, P.R.China
    2.School of Earth and Environment, Anhui University of Science and Technology, Huainan 232001, P.R.China
    3.Afforestation Management Office, Sichuan Forestry Department, Chengdu 610081, P.R.China
  • Received:2012-10-16 Online:2013-09-01 Published:2013-09-15
  • Contact: Correspondence HUANG Yuan-fang, Tel: +86-10-62732963, Fax: +86-10-62733596, E-mail:yfhuang@china.com
  • About author:ZHANG Shi-wen, Tel: +86-554-6668430, E-mail: mamin1190@126.com
  • Supported by:

    This work was supported by the National Natural Science Foundation of China (41071152), the Special Fund for Land and Resources Scientific Research in the Public Interest, China (201011006-3), and the Special Fund for Agro-Scientific Research in the Public Interest, China (201103005- 01-01).

摘要: The spatial interpolation for soil texture does not necessarily satisfy the constant sum and nonnegativity constraints. Meanwhile, although numeric and categorical variables have been used as auxiliary variables to improve prediction accuracy of soil attributes such as soil organic matter, they (especially the categorical variables) are rarely used in spatial prediction of soil texture. The objective of our study was to comparing the performance of the methods for spatial prediction of soil texture with consideration of the characteristics of compositional data and auxiliary variables. These methods include the ordinary kriging with the symmetry logratio transform, regression kriging with the symmetry logratio transform, and compositional kriging (CK) approaches. The root mean squared error (RMSE), the relative improvement value of RMSE and Aitchison’s distance (DA) were all utilized to assess the accuracy of prediction and the mean squared deviation ratio was used to evaluate the goodness of fit of the theoretical estimate of error. The results showed that the prediction methods utilized in this paper could enable interpolation results of soil texture to satisfy the constant sum and nonnegativity constraints. Prediction accuracy and model fitting effect of the CK approach were better, suggesting that the CK method was more appropriate for predicting soil texture. The CK method is directly interpolated on soil texture, which ensures that it is optimal unbiased estimator. If the environment variables are appropriately selected as auxiliary variables, spatial variability of soil texture can be predicted reasonably and accordingly the predicted results will be satisfied.

关键词: compositional kriging , auxiliary variables , regression kriging , symmetry logratio transform

Abstract: The spatial interpolation for soil texture does not necessarily satisfy the constant sum and nonnegativity constraints. Meanwhile, although numeric and categorical variables have been used as auxiliary variables to improve prediction accuracy of soil attributes such as soil organic matter, they (especially the categorical variables) are rarely used in spatial prediction of soil texture. The objective of our study was to comparing the performance of the methods for spatial prediction of soil texture with consideration of the characteristics of compositional data and auxiliary variables. These methods include the ordinary kriging with the symmetry logratio transform, regression kriging with the symmetry logratio transform, and compositional kriging (CK) approaches. The root mean squared error (RMSE), the relative improvement value of RMSE and Aitchison’s distance (DA) were all utilized to assess the accuracy of prediction and the mean squared deviation ratio was used to evaluate the goodness of fit of the theoretical estimate of error. The results showed that the prediction methods utilized in this paper could enable interpolation results of soil texture to satisfy the constant sum and nonnegativity constraints. Prediction accuracy and model fitting effect of the CK approach were better, suggesting that the CK method was more appropriate for predicting soil texture. The CK method is directly interpolated on soil texture, which ensures that it is optimal unbiased estimator. If the environment variables are appropriately selected as auxiliary variables, spatial variability of soil texture can be predicted reasonably and accordingly the predicted results will be satisfied.

Key words: compositional kriging , auxiliary variables , regression kriging , symmetry logratio transform