J. Jpn. Soc. Soil Phys. No. 126, p (2014) ECH 2 O 1 2 Calibration of the capacitance type of ECH 2 O soil moisture sensors Shoichi MITSUISHI 1 a

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J. Jpn. Soc. Soil Phys. No. 126, p.63 70 (2014) ECH 2 O 1 2 Calibration of the capacitance type of ECH 2 O soil moisture sensors Shoichi MITSUISHI 1 and Masaru MIZOGUCHI 1 Abstract: Volumetric water contents, θ, measured with various type of ECH 2 O soil moisture sensors (5TE, 5TM, EC-5, 10HS, ECH 2 O-TE, EC-TM) were evaluated for Toyoura sand, Andisol and Kanto Loam soils in Japan. The calculated value of ECH 2 O sensors reasonably estimated volumetric water contents for sand but underestimated for Andisol and Kanto Loam. It is necessary to independently calibrate the relationship between θ and ε obtained from each sensor for accurate measurements of θ for Japanese volcanic ash soils such as Andisol and Kanto Loam. The soil water content measurements could be improved by using the calibrated third regression equation with the determination coefficient more than 0.95. Key Words : ECH 2 O soil moisture sensor (EC-5, 10HS, 5TE, 5TM, EC-TE, EC-TM), Toyoura Sand, Andisol, Kanto Loam, calibration 1. Decagon Devices, Inc. ECH 2 O Soil Moisture Sensor Decagon Em50 ECH 2 O ECH 2 O Decagon Topp Topp et al., 1980 ECH 2 O Topp, Decagon Decagon Topp, 1998;, 2000 Herkelrath et al., 1991 ECH 2 O 1 AINEX. Co., LTD. Minami Kamata 2-16-1, Ohta-ku, Tokyo, 144-0035, Japan. Corresponding author 2 Graduate School of Agricultural and Life Sciences, The University of Tokyo, 1-1-1 Yayoi, Bunkyo-ku, Tokyo 113-8657, Japan. 2013 7 1 2014 3 27 ECH 2 O ECH 2 O ECH 2 O 2. 2.1 ECH 2 O 2.1.1 Decagon Devices, Inc. 5TE, 5TM, EC-5, 10HS, ECH 2 O-TE EC-TE EC- TM Table 1 θ ε 5TE, 5TM Topp EC-5, 10HS, EC-TE, EC-TM Decagon EC 4 EC-TE 2 5TE T Em50 Decagon Devices, Inc. Em50 ECH 2 O Utility Ver.1.65, Decagon Devices, Inc. 2.1.2, : 10 30 cm : 40 60 cm Table 2 JISA1204 800 C 6 2 mm

64 126 (2014) Table 1 ECH 2 O Characteristic of ECH 2 O soil moisture sensors. Sensor cm 5TE θ C Topp EC-TE 10.0 3.2 0.7 3 EC ds m 1 Decagon (Mineral) 5TM 10.0 3.2 0.7 3 θ Topp C EC-TM Decagon (Mineral) EC-5 8.9 1.9 0.7 Decagon (Mineral) 2 θ 10HS 14.5 3.3 0.7 Decagon (Mineral) Table 2 Physical properties of sample soils. Soil Sand % Silt % Clay % % 99.4 0.6 0 Sand 57.5 27.5 15 Loam 18.5 48 34 18 Clay Loam 12.5 Fig. 1 Experimental apparatus. 2.1.3 ECH 2 O ε ECH 2 O Cobos, 2008a Cobos, 2008b 3 EC-5 5 11 5 cm 5TE, 5TM, EC-TE, EC-TM 5 13 6 cm 10HS 5 18 7 cm Fig. 1 1 mm 8 12 ECH 2 O 105 C 24 3 105 C 24 3 θ s 1 20 2.2 1.40 1.64 Mg m 3 0.50 0.81 Mg m 3 0.42 0.82 Mg m 3 θ Topp and Ferré, 2002 θ = ω ρ d ρ w (1) θ m 3 m 3 ω kg kg 1 ρ d Mg m 3 ρ w Mg m 3

ECH 2 O 65 2.3 ECH 2 O Em50 ECH 2 O Utility θ ECH 2 O ε ECH 2 O 2.4 θ ECH 2 O RMSE Lu et al., 2004 RMSE = n i=0 (θ M θ ECH2 O) 2 θ M θ m 3 m 3 θ ECH2 O m 3 m 3 n n 3. (2) Fig. 2 5TE Relationship between the dielectric constant of 5TE and the volumetric water content of soil samples. Numbers in the figure mean the dry bulk density (Mg m 3 ) of the soil sample. 3.1 ECH 2 O Fig. 2 5TE ε θ θ ε θ > 0.7 m 3 m 3 θ ε 5TE ECH 2 O ε TDR 3.2 ECH 2 O ε θ Fig. 3 Fig. 4 ε ε ε 30 40 60 5TE, 5TM θ < 0.15 m 3 m 3 θ > 0.15 m 3 m 3 10HS EC-5, EC-TE, EC-TM θ < 0.40 m 3 m 3

66 126 (2014) Fig. 3 ECH 2 O 5TE 5TM EC-5 Infiltration Method Air dry Method Dielectric constant of 5TE, 5TM and EC-5 as a function of volumetric water content for all investigated soils. The open circle in the figure shows the measurement value of the saturated water content sample. The arrow in the figure of Loam and Andisol indicates that the moisture content adjustment method was different (Upper: Infiltration Method, Under: Air dry Method). θs 0.40 m 3 m 3 ECH 2 O θ < 0.10 m 3 m 3 θ > 0.10 m 3 m 3 0.20 m 3 m 3 < θ < θs 5TE 5TM 0.60 EC-5 0.65 10HS 0.55 EC-TE EC-TM 0.75 RMSE 0.037 0.056 m 3 m 3 Table 6 0.141 0.212 m 3 m 3 Table 7 0.153 0.217 m 3 m 3 Table 8 Topp 5TE 5TM θ Miyamoto et al., 2003 EC-5, 10HS, EC-TM θ = 0 EC-5,10HS θ < 0.10 m 3 m 3 EC-TM θ < 0.10 m 3 m 3 Decagon

ECH 2 O 67 Fig. 4 ECH 2 O 10HS EC-TE EC-TM Infiltration Method Air dry Method Dielectric constant of 10HS, EC-TE and EC-TM as a function of volumetric water content for all investigated soils. The open circle in the figure shows the measurement value of the saturated water content sample. The arrow in the figure of Loam and Andisol indicates that the moisture content adjustment method was different (Upper: Infiltration Method, Under: Air dry Method). θ θ 3.3 ε θ Topp 3 Fig. 3 Fig. 4 R 2 Table 3, Table 4, Table 5 θ s 0.95 RMSE 0.037 0.056 m 3 m 3 0.019 0.030 m 3 m 3 Table 6 0.141 0.212 m 3 m 3 0.022 0.056 m 3 m 3 Table 7 0.153 0.217 m 3 m 3 0.033 0.058 m 3 m 3 Table 8 3.4 ECH 2 O Fig. 5 ECH 2 O 3 ε EC-TE EC-TM θ > 0.2 m 3 m 3 θ < 0.3 m 3 m 3 θ > 0.5 m 3 m 3 θ < 0.3

68 126 (2014) Table 3 Regression coefficient of Sand. θ= a ε 3 b ε 2 c ε d Sensor a b c d R 2 5TE 1.145 10 5 1.366 10 3 4.930 10 2 1.390 10 1 0.993 5TM 8.231 10 6 1.060 10 3 4.576 10 2 1.401 10 1 0.991 EC-5 1.173 10 5 1.378 10 3 4.824 10 2 1.339 10 1 0.995 10HS 1.071 10 5 1.250 10 3 4.456 10 2 1.234 10 1 0.985 EC-TE 1.257 10 5 1.460 10 3 4.921 10 2 1.133 10 1 0.982 EC-TM 9.958 10 6 1.154 10 3 4.092 10 2 5.811 10 2 0.982 Table 4 Regression coefficient of Andisol. θ= a ε 3 b ε 2 c ε d Sensor a b c d R 2 5TE 5.036 10 6 7.770 10 4 4.230 10 2 1.025 10 2 0.957 5TM 5.271 10 6 9.503 10 4 5.304 10 2 1.080 10 1 0.992 EC-5 6.245 10 6 9.115 10 4 4.558 10 2 3.863 10 2 0.961 10HS 5.768 10 6 8.428 10 4 4.233 10 2 2.917 10 2 0.946 EC-TE 7.262 10 6 1.028 10 3 4.800 10 2 1.568 10 2 0.972 EC-TM 2.574 10 6 4.756 10 4 4.756 10 2 6.892 10 2 0.967 Table 5 Regression coefficient of Kanto Loam. θ= a ε 3 b ε 2 c ε d Sensor a b c d R 2 5TE 7.448 10 6 1.093 10 3 5.266 10 2 6.160 10 2 0.964 5TM 1.046 10 5 1.475 10 3 6.498 10 2 1.597 10 1 0.982 EC-5 6.133 10 6 9.027 10 4 4.552 10 2 1.969 10 2 0.969 10HS 7.890 10 6 1.140 10 3 5.328 10 2 4.078 10 2 0.946 EC-TE 4.723 10 6 7.036 10 4 3.772 10 2 4.823 10 3 0.959 EC-TM 3.475 10 6 5.610 10 4 3.427 10 2 7.398 10 2 0.951 m 3 m 3 θ > 0.5 m 3 m 3 ε ε ECH 2 O ε 4. Decagon 6 ECH 2 O 5TE, 5TM, EC-5, 10HS, EC-TE, EC-TM ε θ ECH 2 O θ θ ε 3 0.95 θ ECH 2 O ε ECH 2 O ε θ

ECH 2 O 69 Table 6 (θ) (RMSE) Accuracy (RMSE) of the calculated value of the Standard and Regression equation in comparison with volumetric water content of Sand. RMSE (m 3 m 3 ) Sensor Standard Eq. Regression Eq. 5TE 0.043 0.019 5TM 0.053 0.024 EC-5 0.049 0.015 10HS 0.037 0.024 EC-TE 0.046 0.029 EC-TM 0.056 0.030 Table 7 (θ) (RMSE) Accuracy (RMSE) of the calculated value of the Standard and Regression equation in comparison with volumetric water content of Andisol. RMSE (m 3 m 3 ) Sensor Standard Eq. Regression Eq. 5TE 0.186 0.045 5TM 0.212 0.022 EC-5 0.170 0.033 10HS 0.141 0.056 EC-TE 0.159 0.038 EC-TM 0.165 0.041 Table 8 (θ) (RMSE) Accuracy (RMSE) of the calculated value of the Standard and Regression equation in comparison with volumetric water content of Kanto Loam. RMSE (m 3 m 3 ) Sensor Standard Eq. Regression Eq. 5TE 0.211 0.058 5TM 0.214 0.033 EC-5 0.187 0.045 10HS 0.217 0.056 EC-TE 0.153 0.052 EC-TM 0.175 0.057 Fig. 5 ECH 2 O 5TE, 5TM, EC-5, 10HS, EC-TE, EC-TM Regression curve of ECH 2 O soil moisture sensors (5TE, 5TM, EC-5, 10HS EC-TE, EC-TM) by soil sample.

70 126 (2014) Cobos, D. (2008a): EC-5 Volume of Sensitivity. http://www. decagon.com/education/ec-5-volume-of-sensitivity-13931-00 -an/ (accessed: 20/08/2013). Cobos, D. (2008b): 10HS Volume of Sensitivity. http://www. decagon.com/education/10hs-volume-of-sensitivity-13931-01 -an/ (accessed: 20/08/2013). Decagon Devices, Inc. (2012): 5TE Water content, EC and Temperature Sensors Operator s Manual Version 8. http:// decagon.com/education/5te-manual/ (accessed: 20/08/2013). Decagon Devices, Inc. (2010): 5TM Water content and Temperature Sensors Operator s Manual Version 0. http://decagon. com/education/5tm-manual/ (accessed: 20/08/2013). Decagon Devices, Inc. (2012): EC-5 Soil Moisture Sensor Operator s Manual Version 2. http://decagon.com/education/ec-5- manual/ (accessed: 20/08/2013). Decagon Devices, Inc. (2010): 10HS Soil Moisture Sensor Operator s Manual Version 3. http://decagon.com/education/10hsmanual/ (accessed: 20/08/2013). Decagon Devices, Inc. (2008): ECH 2 O-TE/EC-TM Water content, EC and Temperature Sensors Operator s Manual Version 7. http://www.decagon.com/education/ech 2 O-te-and-ec-tmmanual/ (accessed: 20/08/2013). Herkelrath, W.N., Hamburg, S.P. and Murphy, F. (1991): Automatic, real-time monitoring of soil moisture in a remote field area with time domain reflectometry. Water Resour. Res., 27: 857 864. Topp, G.C., David, J.L. and Annan, A.P. (1980): Electromagnetic determination of soil water content: Measurement in coaxial transmission lines. Water Resour. Res., 16(3), 574-582. Topp, G.C. and Ferré, P.A. (TY) (2002): 3.1 Water content: General information. Method of Soil Analysis. Part 4. Physical Methods. p.417. Soil Science Society of America, Madison, WI., (1998) :., 194: 361 362., (2000) :., 206: 193 198. Miyamoto, T., Annnaka, T. and Chikushi, J. (2003): Soil aggregate structure effects on dielectric permittivity of an Andisol measured by time domain reflectmetry. Vadose Zone J., 2: 90 97. Lu, D., Shao, M., Horton, R. and Liu, C. (2004): Effect of changing bulk density during water desorption measurement on soil hydraulic properties. Soil Sci., 169: 319 329. Decagon Devices, Inc. 6 ECH 2 O 5TE 5TM EC-5 10HS ECH 2 O-TE EC-TM θ ECH 2 O θ θ θ ε 3 0.04 0.06 m 3 m 3 0.02 0.03 m 3 m 3 0.14 0.21 m 3 m 3 0.03 0.06 m 3 m 3 0.15 0.22 m 3 m 3 0.03 0.06 m 3 m 3 ECH 2 O θ θ ε θ ECH 2 O 5TE, 5TM, EC-5, 10HS, ECH 2 O-TE, EC-TM