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Mapping Soil pH

Accuracy of Common Soil Sampling Strategies and Estimation Techniques

S. M. Broudera,*, B. S. Hofmanna and D. K. Morrisb

a Agronomy Dep., Purdue Univ., 915 W. State Street, West Lafayette, IN, 47907
b Biological and Agricultural Engineering Dep., 123 E.B. Doran Bldg., Louisiana State University, Baton Rouge, LA 70803



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Fig. 1. (a) Absolute and (b) standardized variograms for pH and (c) absolute and (d) standardized lime requirement (LR) based on point sampling densities of 5 (DPAC R and V) or 10 (all others) locations per hectare. Separate variograms are shown for fields that are not contiguous.

 


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Fig. 2. Standardized variograms for (a) pH and (b) lime requirement (LR) based on a point sampling density of 2.5 ha–1 (0.4-ha grid). Separate variograms are shown for fields that are not contiguous.

 


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Fig. 3. Comparison of actual DPAC (a, c, and e) pH and (b, d, and f) lime requirement (LR) values with values estimated by cross validation of block kriging based on either the most dense point sampling strategy (•, 10 [CP0.1ha] or 5 [P0.2ha] points ha–1) or a sparser strategy of 2.5 points ha–1 (P0.4 ha). Estimated CP0.1ha/P0.2ha values are from cross validation while estimated P0.4 ha values represent the combination of results from cross and jackknife validation.

 


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Fig. 4. Comparison of actual NEPAC pH (a) and lime requirement (LR: b) values with values estimated by cross validation of block kriging based on either the most dense point sampling strategy (•, 10 points ha–1 [CP0.1ha]) or a sparser strategy of 2.5 points ha–1 (P0.4 ha). Estimated CP0.1ha values are from cross validation while estimated P0.4 ha values represent the combination of results from cross and jackknife validation.

 


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Fig. 5. Comparison of actual DPAC Field R and V pH with pH estimated by either cross validation with replacement (•) or jackknife validation with independent data ({square}). Cross validation estimates were derived following block kriging pH values collected at a density of 2.5 points ha–1 (P0.4 ha).

 


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Fig. 6. The under- or overestimation of pH and lime requirement (LR) following map development based on area composite (AC), point (P) or centers point (CP) sampling strategies for DPAC. Composite strategies include a research whole field (AC WF, all samples averaged), a commercial or true farm whole field (AC TF, subsets of samples representing a density of 1 ha–1 averaged), and 1-ha grid (AC 1 ha, all samples averaged on a ha–1 basis). Maps developed from point data use either the CP value of a given ha to represent the whole ha without any smoothing (No. Smth CP1ha), IDP = 2 applied to CP 1-ha data, or kriging applied to P 0.2 and 0.4 ha data. Box plots show error mean (...), median (—), 25th to 75th percentiles ({square}), 10th and 90th percentiles ({vdash},{dashv}), and 5th and 95th percentiles (•). A cross ({dagger}) next to the AC TF mean absolute error (MAE) indicates µAC TF != 0 (p < 0.05). Underlined MAEs of other strategies indicates µother != µAC TF (p < 0.05). All prediction efficiencies (PE) are calculated relative to AC TF, and underlined PEs indicate {sigma}other != {sigma}TF (p < 0.05).

 


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Fig. 7. The under- or over-estimation of pH and lime requirement (LR) following map development based on area composite (AC), point (P) or centers point (CP) sampling strategies for NEPAC. Composite strategies include a research whole field (AC WF, all samples averaged), a commercial or true farm whole field (AC TF, subsets of samples representing a density of 1 ha–1 averaged), and 1-ha grid (AC 1 ha, all samples averaged on a ha–1 basis). Maps developed from point data use either the CP value of a given ha to represent the whole ha without any smoothing (No. Smth CP1ha), IDP=2 applied to CP 1 ha data, or kriging applied to CP 0.1 and P 0.4 ha data. Box plots show error mean (...), median (—), 25th to 75th percentiles ({square}), 10th and 90th percentiles ({vdash},{dashv}), and 5th and 95th percentiles (•). A cross ({dagger}) next to the AC TF mean absolute error (MAE) indicates µAC TF != 0 (p < 0.05). Underlined MAEs of other strategies indicates µother != µAC TF (p < 0.05). All prediction efficiencies (PE) are calculated relative to AC TF, and underlined PEs indicate {sigma}other != {sigma}TF (p < 0.05).

 





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