Abstract
The paper presents a novel algorithm for decision support in sprinkler irrigation and its software implementation. The proposed algorithm is based on the modeling of moisture transport using a fractional differential generalization of the Richards equation stated in terms of water head and on the usage of particle swarm optimization for model calibration. The paper also describes the algorithm’s implementation that contains a field installed hardware part that monitors soil and surface air condition, and an analytical software part that stores and processes monitoring data in order to provide recommendations on irrigation schedules and rates. The proposed technique allows to increase the simulation accuracy up to 7% while modeling 3 months vegetative period enabling essential increase in the recommendation adaptability to the changing vegetation conditions.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Akwu, S., Bature, U.I., Jahun, K.I., Baba, M.A., Nasir, A.Y.: Automatic plant irrigation control system using Arduino and GSM module. Int. J. Eng. Manuf. 10(3), 12–26 (2020). https://doi.org/10.5815/ijem.2020.03.02
Okine, A., Appiah, M., Ahmad, I., Asante-Badu, B., Uzoejinwa, B.: Design of a green automated wireless system for optimal irrigation. Int. J. Comput. Netw. Inf. Secur. 12(3), 22–32 (2020). https://doi.org/10.5815/ijcnis.2020.03.03
Rinaldi, M., He, Z.: Decision support systems to manage irrigation in agriculture. Adv. Agron. 123, 229–279 (2014). https://doi.org/10.1016/B978-0-12-420225-2.00006-6
Pachepsky, Y., Timlin, D.: Water transport in soils as in fractal media. J. Hydroogy 204(1–4), 98–107 (1998). https://doi.org/10.1016/S0022-1694(97)00110-8
Pachepsky, Y., Timlin, D., Rawls, W.: Generalized Richards’ equation to simulate water transport in unsaturated soils. J. Hydrol. 272, 3–13 (2003). https://doi.org/10.1016/S0022-1694(02)00251-2
Tu, T., Ercan, A., Levent Kavvas, M.: Time–space fractional governing equations of transient groundwater flow in confined aquifers: numerical investigation. Hydrol. Process. 32, 1406–1419 (2018). https://doi.org/10.1002/hyp.11500
Romashchenko, M.I., Matiash, T.V., Bohaienko, V.O., Kovalchuk, V.P., et al.: Development experience and ways of improvement of irrigation management systems (in Ukrainian). Land Reclam. Water Manag. 2, 17–30 (2019). https://doi.org/10.31073/mivg201902-207
Steduto, P., Hsiao, T.C., Raes, D., Fereres, E.: AquaCrop—the FAO crop model to simulate yield response to water: I Concepts and underlying principles. Agron. J. 101, 426–437 (2009). https://doi.org/10.2134/agronj2008.0139s
Doorenbos, J., Kassam, A.H.: Yield Response to Water. FAO Irrigation and Drainage Papers No. 33. FAO, Rome (1979)
Steduto, P., Raes, D., Hsiao, T.C., Fereres, E.: AquaCrop: concepts, rationale and operation. In: Steduto, P., Hsiao, T.C., Fereres, E., Raes, D. (eds.) Crop Yield Response to Water.FAO irrigation and drainage paper no. 66, pp. 17–49. FAO, Rome (2012)
Allen, R.G., Pereira, L.S., Smith, M., Raes, D., Wright, J.L.: FAO-56 dual crop coefficient method for estimating evaporation from soil and application extensions. J. Irrig. Drainage Eng. 131(1), 2–13 (2005). https://doi.org/10.1061/(ASCE)0733-9437(2005)131:1(2)
Shtoiko, D.A., Pysarenko, V.A., Bychko, O.S.: Estimated methods for determining total evaporation and irrigation time of crops. Zroshuvalne zemlerobstvo, pp. 3–8 (1977). (in Ukrainian)
Ivanov, N.N.: On the Determination of Evaporation Values, pp. 189–196. Yzv. HHO, Moskow (1954). (in Russian)
Williams, J.R., Izaurralde, R.C.: The APEX model. BRC Report 2005-02. Blackland Research and Extension Center, Blackland (2005)
Borah, D.K., et al.: Sediment and nutrient modeling for TMDL development and implementation. Trans. ASABE 49(4), 967–986 (2006)
Panagopoulos, Y., Makropoulos, C., Mimikou, M.: Decision support for diffuse pollution management. Environ. Model Softw. 30, 57–70 (2012). https://doi.org/10.1016/j.envsoft.2011.11.006
Styczen, M., Poulsen, R.N., Falk, A.K., Jørgensen, G.H.: Management model for decision support when applying low quality water in irrigation. Agric. Water Manag. 98, 472–781 (2010). https://doi.org/10.1016/j.agwat.2010.10.017
Smith, M.: CROPWAT, a computer program for irrigation planning and management. FAO Irrigation and Drainage Paper No. 46. (1992)
Car, N.J., Christen, E.W., Hornbuckle, J.W., Moore, G.A.: Using a mobile phone short messaging service (SMS) for irrigation scheduling in Australia—farmers’ participation and utility evaluation. Comput. Electron. Agric. 84, 132–143 (2012). https://doi.org/10.1016/j.compag.2012.03.003
Abrahamsen, P., Hansen, S.: Daisy: an open soil-crop-atmosphere model. Environ. Model Softw. 15, 313–330 (2000). https://doi.org/10.1016/S1364-8152(00)00003-7
Zhang, Y., Feng, L.: CropIrri: a decision support system for crop irrigation management. In: Li, D., Zhao, C. (eds.) CCTA 2009. IAICT, vol. 317, pp. 90–97. Springer, Heidelberg (2010). https://doi.org/10.1007/978-3-642-12220-0_14
Keating, B.A., et al.: An overview of APSIM, a model designed for farming system simulation. Eur. J. Agron. 18(3), 267–288 (2003). https://doi.org/10.1016/S1161-0301(02)00108-9
Stockle, C.O., Donatelli, M., Nelson, R.: CropSyst, a cropping systems simulation model. Eur. J. Agron. 18, 289–307 (2003). https://doi.org/10.1016/S1161-0301(02)00109-0
van Genuchten, M.T.: A closed-form equation for predicting the hydraulic conductivity of unsaturated soils 1. Soil Sci. Soc. Am. J. 44(5), 892–898 (1980)
Romashchenko, M.I., Bohaienko, V.O., Matiash, T.V., Kovalchuk, V.P., Danylenko, Iu.Iu.: Influence of evapotranspiration assessment on the accuracy of moisture transport modeling under the conditions of sprinkling irrigation in the south of Ukraine. Arch. Agron. Soil Sci. 66(10), 1424–1435 (2020). https://doi.org/10.1080/03650340.2019.1674445
Rosetta Version 1.0 (Free downloaded program). U.S.Salinity Laboratory ARSUSDA. http://www.ussl.ars.usda.gov. Accessed 10 Sept 2020
Bogaenko, V.A., Bulavatsky, V.M., Kryvonos, Iu.G.: On mathematical modeling of fractional-differential dynamics of flushing process for saline soils with parallel algorithms usage. J. Autom. Inf. Sci. 48(10), 1–12 (2016). https://doi.org/10.1615/JAutomatInfScien.v48.i10.10
Bulavatsky, V.M.: Mathematical modeling of dynamics of the process of filtration convection diffusion under the condition of time nonlocality. J. Autom. Inf. Sci. 44(2), 13–22 (2012). https://doi.org/10.1615/JautomatInfScien.v44.i4.20
Zhang, Y.A.: Comprehensive survey on particle swarm optimization algorithm and its applications. Mathematical Problems in Engineering, Article no 931256 (2015). https://doi.org/10.1155/2015/931256
Bohaienko, V., Gladky, A., Romashchenko, M., Matiash, T.: Identification of fractional water transport model with ψ-Caputo derivatives using particle swarm optimization algorithm. Appl. Math. Comput. 390, Article no 125665 (2021). https://doi.org/10.1016/j.amc.2020.125665
Rao, N.H.: Field test of a simple soil-water balance model for irrigated areas. J. Hydrol. 91, 179–186 (1987). https://doi.org/10.1016/0022-1694(87)90135-1
IRROMETER Company Inc. https://www.irrometer.com/sensors.html. Accessed 10 Sept 2020
Kovalchuk, V., Demchuk, O., Demchuk, D., Voitovich, O.: Data mining for a model of irrigation control using weather web-services. In: Hu, Z., Petoukhov, S., Dychka, I., He, M. (eds.) ICCSEEA 2018. AISC, vol. 754, pp. 133–143. Springer, Cham (2019). https://doi.org/10.1007/978-3-319-91008-6_14
Romashchenko, M.I., Shatkovsky, A.P., Onotsky, V.V.: Mathematical model of flat-vertical profile moisture transfer under trickle irrigation in conditions of incomplete saturation. Agric. Sci. Pract. 3(3), 35–40 (2016). https://doi.org/10.15407/agrisp3.03.035
Bohaienko, V.O.: Parallel finite-difference algorithms for three-dimensional space-fractional diffusion equation with ψ-Caputo derivatives. Comput. Appl. Math. 39(3), 1–20 (2020). https://doi.org/10.1007/s40314-020-01191-x
Bohaienko, V.O.: Parallel algorithms for modelling two-dimensional non-equilibrium salt transfer processes on the base of fractional derivative model. Fract. Calculus Appl. Anal. 21(3), 654–671 (2018). https://doi.org/10.1515/fca-2018-0035
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Bohaienko, V., Matiash, T., Krucheniuk, A. (2021). Decision Support System in Sprinkler Irrigation Based on a Fractional Moisture Transport Model. In: Hu, Z., Petoukhov, S., Dychka, I., He, M. (eds) Advances in Computer Science for Engineering and Education IV. ICCSEEA 2021. Lecture Notes on Data Engineering and Communications Technologies, vol 83. Springer, Cham. https://doi.org/10.1007/978-3-030-80472-5_2
Download citation
DOI: https://doi.org/10.1007/978-3-030-80472-5_2
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-80471-8
Online ISBN: 978-3-030-80472-5
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)