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Integrating properties of soil map delineations into ordinary kriging

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Abstract
Stratification of a region based on soil map delineations followed by within-stratum interpolation is sometimes used to combine soil maps and spatial interpolation. However, not all delineations are equally suitable to subdivide an area into precisely located mutually exclusive strata. This paper proposes a flow-path to characterize the nature of soil map delineations and a methodology to integrate the properties of map delineations into ordinary kriging. Four types of delineations were distinguished based on three criteria: the nature of transition (discontinuous or gradual), the mapping accuracy, and the structure of the within-unit spatial variation. For each type of delineation the ordinary kriging algorithm was modified to integrate its properties in the interpolation. As a test case, the sand content of the topsoil in the province of West-Flanders (Belgium) was mapped, using independent test data for validation. Inside the mapping units and at delineations identified as gradual transitions, our procedure, termed ordinary kriging integrating properties of map delineations (OKPD), performed similarly to stratified ordinary kriging (SOK). However, close to the delineations identified as inaccurately mapped discontinuities the mean square prediction error of OKPD was 0.64 times that of SOK. Moreover, near these delineations, the prediction variance was largely underestimated by SOK (relative variance = 5.1), whereas OKPD produced a more realistic value (relative variance = 1.5).
Keywords
INFORMATION, INTERPOLATION

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Chicago
Boucneau, Geert, Marc Van Meirvenne, Olivier Thas, and Georges Hofman. 1998. “Integrating Properties of Soil Map Delineations into Ordinary Kriging.” European Journal of Soil Science 49 (2): 213–229.
APA
Boucneau, G., Van Meirvenne, M., Thas, O., & Hofman, G. (1998). Integrating properties of soil map delineations into ordinary kriging. EUROPEAN JOURNAL OF SOIL SCIENCE, 49(2), 213–229.
Vancouver
1.
Boucneau G, Van Meirvenne M, Thas O, Hofman G. Integrating properties of soil map delineations into ordinary kriging. EUROPEAN JOURNAL OF SOIL SCIENCE. 1998;49(2):213–29.
MLA
Boucneau, Geert, Marc Van Meirvenne, Olivier Thas, et al. “Integrating Properties of Soil Map Delineations into Ordinary Kriging.” EUROPEAN JOURNAL OF SOIL SCIENCE 49.2 (1998): 213–229. Print.
@article{178511,
  abstract     = {Stratification of a region based on soil map delineations followed by within-stratum interpolation is sometimes used to combine soil maps and spatial interpolation. However, not all delineations are equally suitable to subdivide an area into precisely located mutually exclusive strata. This paper proposes a flow-path to characterize the nature of soil map delineations and a methodology to integrate the properties of map delineations into ordinary kriging.
Four types of delineations were distinguished based on three criteria: the nature of transition (discontinuous or gradual), the mapping accuracy, and the structure of the within-unit spatial variation. For each type of delineation the ordinary kriging algorithm was modified to integrate its properties in the interpolation.
As a test case, the sand content of the topsoil in the province of West-Flanders (Belgium) was mapped, using independent test data for validation. Inside the mapping units and at delineations identified as gradual transitions, our procedure, termed ordinary kriging integrating properties of map delineations (OKPD), performed similarly to stratified ordinary kriging (SOK). However, close to the delineations identified as inaccurately mapped discontinuities the mean square prediction error of OKPD was 0.64 times that of SOK. Moreover, near these delineations, the prediction variance was largely underestimated by SOK (relative variance = 5.1), whereas OKPD produced a more realistic value (relative variance = 1.5).},
  author       = {Boucneau, Geert and Van Meirvenne, Marc and Thas, Olivier and Hofman, Georges},
  issn         = {1351-0754},
  journal      = {EUROPEAN JOURNAL OF SOIL SCIENCE},
  keyword      = {INFORMATION,INTERPOLATION},
  language     = {eng},
  number       = {2},
  pages        = {213--229},
  title        = {Integrating properties of soil map delineations into ordinary kriging},
  url          = {http://dx.doi.org/10.1046/j.1365-2389.1998.00157.x},
  volume       = {49},
  year         = {1998},
}

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