GS3. A liner offset equation of the volumetric water content that capacitance type GS3 soil moisture sensor measured

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1 J. Jpn. Soc. Soil Phys. No. 130, p (2015) GS3 1 2 A liner offset equation of the volumetric water content that capacitance type GS3 soil moisture sensor measured Shoichi MITSUISHI 1 and Masaru MIZOGUCHI 2 Abstract: The ECH 2 O GS3 soil moisture sensor (GS3, Decagon Devices, Inc.,) is suitable for measuring volumetric water content (θ), temperature, and bulk EC for agricultural materials. Two types of calibration equations are provided for the GS3 water content measurements: a standard equation (θ ST ) and an agricultural material equation (θ AM ). In this study, these two equations were evaluated based on the dry weight method θ (θ M ) for agricultural materials (Rock wool, Vermiculite, Peat moss, and Strawberry soil) and soils (Toyoura sand, Andisol and Kanto loam). The relative error of θ ST was 10 % 14 % for agricultural materials, 3 % for the sand, and 14 % for the Andisol and Kanto loam. The θ ST prediction was reasonably accurate for Toyoura sand, but practically not applicable for agricultural materials, Andisol, and Kanto loam. The relative error of θ AM was 8 % 10 %. The accuracy of θ AM was slightly higher than for θ ST regardless of samples. The θ ST was corrected based on the linear regression line for the θ M and θ ST relationship. The relative error for the corrected θ ST became 1 % 5 % for all samples. Furthermore, the linear regression line was made according to three saturated, intermediate, and dried samples (3-point method). The relative error for the θ ST corrected with the 3-point method was 2 % 6 %, which was much smaller than for the original θ ST. In conclusion, we recommend using the 3-point method to correct θ ST for the GS2 measurements for soils snf agricultural materials. Key Words : ECH 2 O GS3 soil moisture sensor, agricultural material, soil, liner regression equation 1. ECH 2 O GS3 Decagon Devices, Inc. GS3 1 AINEX. Co., LTD. Minami Kamata , Ohta-ku, Tokyo, , Japan. Corresponding author 2 Graduate School of Agricultural and Life Sciences, The University of Tokyo, Yayoi, Bunkyo-ku, Tokyo , Japan GS3 Em50 Decagon Devices, Inc. θ EC T GS3 θ ε ε Decagon ECH 2 O θ θ, 2014 GS3 4 3 GS3 GS3 GS GS Em50 Em50 GS3 Decagon Em50 ECH 2 O Utility Ver GS3 3 Fig. 1 θ m 3 m 3 EC ds m 1 T C Em50 θ GS3 Raw Raw ε ε = Raw/50 (1)

2 (2015) Table 1 Ignition loss and dry bulk density of agricultural materials and soil samples. Sample Ignition loss % Dry bulk density Mg m 3 Rock wool Vermiculite Peat moss Strawberry soil Sand 1.50 Andisol Kanto loam Fig. 1 Experimental apparatus. GS3 θ Raw ε θ GS3 2 1 Em50 θ θ ST = ε ε ε (2) θ ST m 3 m 3 Topp Topp et al., 1980 ε 3 2 θ AM = ε (3) θ AM m 3 m 3 θ AM Raw 1 ε 3 GS3 EC T cm 2014 Table θ θ M Topp and Ferre, 2002 θ M = ω ρ d /ρ w (4) θ M m 3 m 3 ω kg kg 1 ρ d Mg m 3 ρ w Mg m 3 θ M C C θ S θ S θ S GS3 1 mm 10

3 GS3 21 Fig. 2 4 GS3 θ ST θ M θ ST 1 1 θ ST θ M 3 θ ST θ M The relationship between volumetric water content θ ST based on the standard equation and gravimetrically measured θ M for four type of agricultural materials. The solid line shows 1:1 relationship and the broken line is a regression line between θ ST and θ M. The two-dot chain line is a regression line for three water content samples (dried, intermediate, and saturated). 11 L 5 W 8 H, cm GS3 Fig GS3 θ M GS3 RMSE Lu et al., 2004 RMSE = n i=1 (θ M θ GS3 ) 2 θ GS3 GS3 θ θ ST θ AM m 3 m 3 n θ M θ ST θ AM n (5) Relative Error(%) = θ GS3 θ M θ M 100 (6) θ M θ ST θ ST θ M Fig. 2 θ ST θ M 1 1 θ ST θ M θ M θ M θ ST θ M < 0.10 m 3 m 3 θ M = 0 m 3 m 3 θ ST GS3 θ M θ M RMSE Table m 3 m m 3 m m 3 m m 3 m 3 θ M %

4 (2015) Fig. 3 4 GS3 θ AM θ M θ AM 1 1 θ AM θ M The relationship between volumetric water content θ AM based on the agricultural material equation and gravimetrically measured θ M for four type of agricultural materials. The solid line shows 1:1 relationship and the broken line is a regression line between θ AM and θ M. 4.2 θ M θ AM θ AM θ M Fig. 3 Fig. 2 θ AM θ M θ M > 0.10 m 3 m 3 θ AM θ M < 0.10 m 3 m 3 θ AM θ M RMSE Table m 3 m m 3 m m 3 m m 3 m 3 θ M 8 10 % GS3 4.3 θ M θ ST θ ST 3 θ M Fig. 2 3 Fig. 4 θ ST θ M θ M < 0.10 m 3 m 3 θ ST θ M θ ST Miyamoto et al Miyamoto et al., 2003 RMSE Table m 3 m m 3 m m 3 m 3 θ M 3 % 14 % Table 2 θ M 3 RMSE Accuracy (RMSE) of volumetric water content θ M for all samples calculated by the standard, agricultural material, linear regression, and 3P regression equations. Sample Standard Eq. RMSE (m 3 m 3 ) Agricultural Linear 3P medium regression regression Eq. Eq. Eq. Rock wool Vermiculite Peat moss Strawberry soil Sand Andisol Loam

5 GS θ M GS3 θ ST θ AM θ M Fig. 2 Fig. 3 Fig. 4 R 2 Table θ ST θ AM θ M GS3 θ ST θ AM θ ST GS3 RMSE Table m 3 m m 3 m m 3 m m 3 m m 3 m m 3 m m 3 m 3 RMSE % θ M 1 5 % GS GS3 θ ST θ M 3 θ ST θ M Fig. 2 Fig. 3 Fig. 4 3 R 2 Table 3 3 RMSE Table m 3 m m 3 m m 3 m m 3 m m 3 m m 3 m m 3 m 3 θ M % 5. Fig. 4 3 GS3 θ ST θ M θ ST 1 1 θ ST θ M 3 θ ST θ M The relationship between volumetric water content θ ST based on the standard equation and gravimetrically measured θ M for three type of soils. The solid line shows 1:1 relationship and the broken line is a regression line between θ ST and θ M. The two-dot chain line is a regression line for three water content samples (dried, intermediate, and saturated). The arrow for Loam and Andisol indicates the infiltration method for higher water contents and the air dry method for lower water contents to adjust water contents. θ M GS3 Decagon θ M < 0.10 m 3 m 3 10

6 (2015) Table θ ST θ M 2 θ AM θ M 3 3 θ ST θ M. Coefficients of three linear regression lines for agricultural materials and soil samples: (1) θ ST vs. θ M, (2) θ AM vs. θ M for all samples, and (3) θ ST vs. θ M for three water content samples (dried, intermediate, and saturated). Liner regression (θ ST ) Liner regression (θ AM ) 3 points regression Sample θ = a θ ST + b θ = a θ AM + b θ = a θ ST + b a b R 2 a b R 2 a b R 2 Rock wool Vermiculite Peat moss Strawberry soil Sand Andisol Loam % 3 % 14 % θ M < 0.20 m 3 m % θ M θ ST θ M θ AM 0.94 θ ST 1 5 % θ ST θ M % 3 GS3 3 θ ST GS3 3 Lu, D., Shao, M., Horton, R. and Liu, C. (2004): Effect of changing bulk density during water desorption measurement on soil hydraulic properties. Soil Science, 169: , (2014): ECH 2 O., 126: Miyamoto T., Annaka T. and Chikushi J. (2003): Soil Aggregate structure effects on dielectric permittivity of an Andisol measured by time domain reflectmetry. Vadose Zone Journal, 2: Topp, G.C., Davis, J.L. and Annan, A.P. (1980): Electromagnetic determination of soil water content: Measurements in coaxial transmission lines. Water Resour. Res., 16: Topp, G.C. and Ferre, P.A. (TY) (2002): 3.1 Water content: General information. Method of Soil Analysis. Part4. Physical Methods. p.417, Soil Science Society of America, Madison, WI.

7 GS3 25 Decagon ECH 2 O GS3 GS3 θ M GS3 Decagon θ M < 0.10 m 3 m 3 θ M % 3 % 14 % θ M < 0.20 m 3 m 3 θ M 8 10 % θ M θ ST θ AM % θ ST θ M % 3 GS3 3 θ M θ ST GS3 3 ECH 2 O GS3,

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