Quantification of Uncertainty in Mathematical Models: The Statistical Relationship between Field and Laboratory pH Measurements

The measurement of soil pH using a field portable test kit represents a fast and inexpensive method to assess pH. Field based pH methods have been used extensively for agricultural advisory services and soil survey and now for citizen soil science projects. In the absence of laboratory measurements,...

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Main Authors: Kurt K. Benke, Nathan J. Robinson
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Applied and Environmental Soil Science
Online Access:http://dx.doi.org/10.1155/2017/5857139
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author Kurt K. Benke
Nathan J. Robinson
author_facet Kurt K. Benke
Nathan J. Robinson
author_sort Kurt K. Benke
collection DOAJ
description The measurement of soil pH using a field portable test kit represents a fast and inexpensive method to assess pH. Field based pH methods have been used extensively for agricultural advisory services and soil survey and now for citizen soil science projects. In the absence of laboratory measurements, there is a practical need to model the laboratory pH as a function of the field pH to increase the density of data for soil research studies and Digital Soil Mapping. The accuracy and uncertainty in pH field measurements were investigated for soil samples from regional Victoria in Australia using both linear and sigmoidal models. For samples in water and CaCl2 at 1 : 5 dilutions, sigmoidal models provided improved accuracy over the full range of field pH values in comparison to linear models (i.e., pH < 5 or pH > 9). The uncertainty in the field results was quantified by the 95% confidence interval (CI) and 95% prediction interval (PI) for the models, with 95% CI < 0.25 pH units and 95% PI = ±1.3 pH units, respectively. It was found that the Pearson criterion for robust regression analysis can be considered as an alternative to the orthodox least-squares modelling approach because it is more effective in addressing outliers in legacy data.
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spelling doaj-art-0c79bb7b3c08438984e47a6cb34e4c3f2025-08-20T02:02:52ZengWileyApplied and Environmental Soil Science1687-76671687-76752017-01-01201710.1155/2017/58571395857139Quantification of Uncertainty in Mathematical Models: The Statistical Relationship between Field and Laboratory pH MeasurementsKurt K. Benke0Nathan J. Robinson1School of Engineering, University of Melbourne, Parkville, VIC, AustraliaDepartment of Economic Development, Jobs, Transport and Resources (DEDJTR), Bendigo Centre, Cnr Midland Hwy and Taylor Street, Epsom, VIC, AustraliaThe measurement of soil pH using a field portable test kit represents a fast and inexpensive method to assess pH. Field based pH methods have been used extensively for agricultural advisory services and soil survey and now for citizen soil science projects. In the absence of laboratory measurements, there is a practical need to model the laboratory pH as a function of the field pH to increase the density of data for soil research studies and Digital Soil Mapping. The accuracy and uncertainty in pH field measurements were investigated for soil samples from regional Victoria in Australia using both linear and sigmoidal models. For samples in water and CaCl2 at 1 : 5 dilutions, sigmoidal models provided improved accuracy over the full range of field pH values in comparison to linear models (i.e., pH < 5 or pH > 9). The uncertainty in the field results was quantified by the 95% confidence interval (CI) and 95% prediction interval (PI) for the models, with 95% CI < 0.25 pH units and 95% PI = ±1.3 pH units, respectively. It was found that the Pearson criterion for robust regression analysis can be considered as an alternative to the orthodox least-squares modelling approach because it is more effective in addressing outliers in legacy data.http://dx.doi.org/10.1155/2017/5857139
spellingShingle Kurt K. Benke
Nathan J. Robinson
Quantification of Uncertainty in Mathematical Models: The Statistical Relationship between Field and Laboratory pH Measurements
Applied and Environmental Soil Science
title Quantification of Uncertainty in Mathematical Models: The Statistical Relationship between Field and Laboratory pH Measurements
title_full Quantification of Uncertainty in Mathematical Models: The Statistical Relationship between Field and Laboratory pH Measurements
title_fullStr Quantification of Uncertainty in Mathematical Models: The Statistical Relationship between Field and Laboratory pH Measurements
title_full_unstemmed Quantification of Uncertainty in Mathematical Models: The Statistical Relationship between Field and Laboratory pH Measurements
title_short Quantification of Uncertainty in Mathematical Models: The Statistical Relationship between Field and Laboratory pH Measurements
title_sort quantification of uncertainty in mathematical models the statistical relationship between field and laboratory ph measurements
url http://dx.doi.org/10.1155/2017/5857139
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