Abstract
Root water uptake (RWU)-based numerical modeling was employed for simulating the moisture dynamics in the unsaturated root zone of potato (Solanum Tuberosum L.) crop, wherein crop evapotranspiration (ETc) is an important input parameter. Richard’s equation incorporating a nonlinear RWU model was considered in the study. Reference evapotranspiration (ET0) was computed using full climatic data (combination-based methods) and limited climatic data (radiation, temperature and pan-evaporation-based methods). The crop coefficients (Kc) during different stages of the crop growth were adjusted for the local agro-climate (humid subtropical) following the FAO-56 Kc modification procedure. ETc estimated from different ET0 methods using the FAO-56 crop coefficient approach was compared with the field ETc obtained through the water balance approach. The methods Penman–Monteith (PEN–M) (combination-based), FAO-24 radiation (RAD) (radiation-based), Hargreaves-Samani (HAR) (temperature-based) and Snyder (SD) (pan-evaporation based) performed better in their respective categories. Soil moisture values simulated using the numerical model (considering ETc computed from PEN-M, HAR, RAD and SD) were graphically and statistically compared with the field observed soil moisture. Results indicate that a field soil moisture depletion of 30% corresponds to the simulated soil moisture depletion of 15%, 25%, 28% and 40%, based on ETc inputs from SD, HAR, PEN-M and RAD, respectively. The results augment the investigations on the influence of limited climatic data on the simulated irrigation schedules of the potato crop. The study has significance in effective irrigation scheduling in water deficit areas having different scenarios of climatic data availability.
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Data availability statement
Some data, models or code used during the study are available from the corresponding author by request.
References
Allen RG, Pruitt WO (1991) FAO-24 reference evapotranspiration factors. J Irrig Drain Eng 117(5):758–773
Allen RG, Pereira LS, Raes D, Smith M (1998) Crop evapotranspiration-guidelines for computing crop water requirements-FAO Irrigation and drainage paper 56. FAO, Rome, 300(9), D05109
Bandyopadhyay PK, Mallick S (2003) Actual evapotranspiration and crop coefficients of wheat (Triticum aestivum) under varying moisture levels of humid tropical canal command area. Agric Water Manag 59(1):33–47
Belmans C, Wesseling JG, Feddes RA (1983) Simulation model of the water balance for the cropped soil: SWATRE. J Hydrol 63:271–275
Blaney HF, Criddle WD (1950) Determining water requirements in irrigated areas from climatological and irrigation data. USDA Soil Conservation Service Rep. SCS-TP 96, Washington, DC
Boehm W (1979) Ecological studies series, 33, Methods of studying root systems. Billings WD, Goiley F, Lange GL, Olson JS, Ridge O (eds), 188
Bruinsma J (2017) World agriculture: towards 2015/2030: an FAO study. Routledge, Abingdon
Cai J, Liu Y, Lei T, Pereira LS (2007) Estimating reference evapotranspiration with the FAO Penman-Monteith equation using daily weather forecast messages. Agric For Meteorol 145(1–2):22–35
Campbell GS, Norman JM (1998) An introduction to environmental biophysics, 2nd edn. Springer, New York
Celia MA, Bouloutas ET, Zarba RL (1990) A general mass conservative numerical solution for the unsaturated flow equation. Water Resour Res 26:1483–1496
Cuenca RH (1989) Irrigation system design. An engineering approach. Prentice Hall, Upper Saddle River
Curwen D, Massie LR (1984) Potato irrigation scheduling in Wisconsin. Am Potato J 61(4):235–241
Devatha CP, Shankar V, Ojha CSP (2016) Assessment of soil moisture uptake under different salinity levels for paddy crop. J Irrig Drain Eng 142(5):04016011
Doorenbos J, Kassam AH (1986) Yield response to water. FAO Irrigation and Drainage Paper No: 33, FAO, Rome, Italy
Doorenbos J, Pruitt WO (1977) Guidelines for predicting crop water requirements. Irrigation and Drain. Div, FAO-Rome, Paper No. 24
Eberbach P, Pala M (2005) Crop row spacing and its influence on the partitioning of evapotranspiration by winter-grown wheat in Northern Syria. Plant Soil 268(1):195–208
Feddes RA, Zaradny H (1978) Model for simulating soil-water content considering evapotranspiration—comments. J Hydrol 37(3–4):393–397
Feddes RA, Kabat P, Van Bakel P, Bronswijk JJB, Halbertsma J (1988) Modelling soil water dynamics in the unsaturated zone—state of the art. J Hydrol 100(1–3):69–111
Frevert DK, Hill RW, Braaten BC (1983) Estimation of FAO evapotranspiration coefficients. J Irrig Drain Eng 109(2):265–270
Geremew EB, Steyn JM, Annandale JG (2008) Comparison between traditional and scientific irrigation scheduling practices for furrow irrigated potatoes (Solanum tuberosum L.) in Ethiopia. South Afr J Plant Soil 25(1):42–48
Goel L, Shankar V, Sharma RK (2019) Investigations on effectiveness of wheat and rice straw mulches on moisture retention in potato crop (Solanum tuberosum L). Int J Recycl Org Waste Agric 8:345–356. https://doi.org/10.1007/s40093-019-00307-6
Govindraju RS, Or D, Kavvas ML, Rolston DE, Biggar J (1992) Error analyses of simplified unsaturated flow models under large uncertainty in hydraulic properties. Water Resour Res 28(11):2913–2924
Grismer ME, Orang M, Snyder R, Matyac R (2002) Pan evaporation to reference evapotranspiration conversion methods. J Irrig Drain Eng 128(3):180–184
Hargreaves GH, Allen RG (2003) History and evaluation of Hargreaves evapotranspiration equation. J Irrig Drain Eng 129(1):53–63
Hargreaves GH, Samani ZA (1985) Reference crop evapotranspiration from temperature. Appl Eng Agric 1(2):96–99
Irmak S, Irmak A, Allen RG, Jones JW (2003) Solar and net radiation-based equations to estimate reference evapotranspiration in humid climates. J Irrig Drain Eng 129(5):336–347
Itenfisu D, Elliott RL, Allen RG, Walter IA (2003) Comparison of reference evapotranspiration calculations as part of the ASCE standardization effort. J Irrig Drain Eng 129(6):440–448
Kang S, Zhang F, Zhang J (2001) A simulation model of water dynamics in winter wheat field and its application in a semiarid region. Agric Water Manag 49:115–129
Kashyap PS, Panda RK (2001) Evaluation of evapotranspiration estimation methods and development of crop-coefficients for potato crop in a sub-humid region. Agric Water Manag 50(1):9–25
Kashyap PS, Panda RK (2003) Effect of irrigation scheduling on potato crop parameters under water stressed conditions. Agric Water Manag 59(1):49–66
Kosugi K, Katsuyama M (2004) Controlled-suction period Lysimeter for measuring vertical water flux and convective chemical fluxes. Soil Sci Soc Am J 68:371–382
Koudahe K, Djaman K, Adewumi JK (2018) Evaluation of the Penman–Monteith reference evapotranspiration under limited data and its sensitivity to key climatic variables under humid and semiarid conditions. Model Earth Syst Environ 4(3):1239–1257
Kumar R, Shankar V, Jat MK (2013a) Efficacy of nonlinear root water uptake model for a multilayer crop root zone. J Irrig Drain Eng 139(11):898–910
Kumar R, Shankar V, Jat MK (2013b) Sensitivity analysis of nonlinear model parameters in a multilayer root zone. J Hydrol Eng 19(2):462–471
Kumar R, Shankar V, Jat MK (2015) Evaluation of root water uptake models–a review. ISH J Hydraulic Eng 21(2):115–124
Kumar N, Poddar A, Dobhal A, Shankar V (2019) Performance assessment of PSO and GA in estimating soil hydraulic properties using near-surface soil moisture observations. COMPUSOFT 8(8):3294–3301
Kumar N, Poddar A, Shankar V, Ojha CSP, Adeloye AJ (2020) Crop water stress index for scheduling irrigation of Indian mustard (Brassica juncea) based on water use efficiency considerations. J Agron Crop Sci 206(1):148–159
Li KY, Boisvert JB, Jong R De (1999) An exponential root water uptake model. Can J Soil Sci 79:333–343
Liu C, Zhang X, Zhang Y (2002) Determination of daily evaporation and evapotranspiration of winter wheat and maize by large-scale weighing Lysimeter and micro-Lysimeter. Agric For Meteorol 111:109–120
Merta M (2002) Plant physiological measurements as a basis of evapotranspiration calculation—potentials and limits. Dissertation. IHI-Schriften, Heft, 16, 145
Molz FJ, Remson I (1970) Extraction term models of soil moisture use by transpiring plants. Water Resour Res 6(5):1346–1356
Nandagiri L, Kovoor GM (2006) Performance evaluation of reference evapotranspiration equations across a range of Indian climates. J Irrig Drain Eng 132(3):238–249
Ojha CSP, Rai AK (1996) Non-linear root water uptake model. J Irrig Drain Eng 122:198–202
Ojha CSP, Hari Prasad KS, Shankar V, Madramootoo CA (2009) Evaluation of a nonlinear root water uptake model. J Irrig Drain Eng (ASCE) 35(3):303–312
Orang M (1998) Potential accuracy of the popular non-linear regression equations for estimating pan coefficient values in the original and FAO-24 tables. Unpublished Rep., Calif. Dept. of Water Resources, Sacramento
Paniconi C, Aldama AA, Wood EF (1991) Numerical evaluation of iterative and numerical methods for the solution of the non-linear Richards equation. Water Resour Res 27:1147–1163
Paredes P, Pereira LS (2019) Computing FAO56 reference grass evapotranspiration PM-ETo from temperature with focus on solar radiation. Agric Water Manag 215:86–102
Pereira LS, Allen RG, Smith M, Raes D (2015) Crop evapotranspiration estimation with FAO56: past and future. Agric Water Manag 147:4–20
Poddar A, Gupta P, Kumar N, Shankar V, Ojha CSP (2018a) Evaluation of reference evapotranspiration methods and sensitivity analysis of climatic parameters for sub-humid sub-tropical locations in western Himalayas (India). ISH J Hydraulic Eng. https://doi.org/10.1080/09715010.2018.1551731
Poddar A, Kumar N, Shankar V (2018b) Evaluation of two irrigation scheduling methodologies for potato (Solanum tuberosum L.) in north-western mid-hills of India. ISH J Hydraulic Eng. https://doi.org/10.1080/09715010.2018.1518733
Prasad R (1988) A linear root water uptake model. J Hydrol 99(3–4):297–306
Priestley CHB, Taylor RJ (1972) On the assessment of surface heat flux and evaporation using large scale parameters. Mon Weather Rev 100:81–92
Remson I, Hornberger GM, Molz FJ (1971) Numerical methods in subsurface hydrology. Wiley, New York, p 389
Richards LA (1931) Capillary conduction of liquids through porous medium. Physics 1:318–333
Ritchie JT (1972) Model for predicting evaporation from a row crop with incomplete cover. Water Resour Res 8:1204–1213
Samani Z (2000) Estimating solar radiation and evapotranspiration using minimum climatological data. J Irrig Drain Eng 126(4):265–267
Satchithanantham S, Krahn V, Ranjan RS, Sager S (2014) Shallow groundwater uptake and irrigation water redistribution within the potato root zone. Agric Water Manag 132:101–110
Shankar V (2007) Modelling of moisture uptake by plants. Ph.D. Dissertation, Department of Civil Engineering, IIT Roorkee
Shankar V, Hari Prasad KS, Ojha CSP (2009) Crop coefficient calibration of maize and indian mustard in a semi-arid region. ISH J Hydraulic Eng 15(1):67–84
Shankar V, Hari Prasad KS, Ojha CSP, Govindaraju RS (2012) Model for nonlinear root water uptake parameter. J Irrig Drain Eng 138(10):905–917
Shankar V, Ojha CSP, Govindaraju RS, Prasad KSH, Adebayo AJ, Madramoottoo CA, Upreti H, Shrivastava R, Singh KK (2017) Optimal use of irrigation water. In: Ojha CSP, Surampalli YR, Bardossy A (eds) Sustainable water resources management. American Society of Civil Engineers, Reston, VA, pp 737–795
Šimůnek J, Hopmans JW (2009) Modeling compensated root water and nutrient uptake. Ecol Model 220(4):505–521
Singh G, Brown DM, Barr AG (1993) Modelling soil water status for irrigation scheduling in potatoes I. Description and sensitivity analysis. Agric Water Manag 23(4):329–341
Snyder RL (1992) Equation for evaporation pan to evapotranspiration conversions. J Irrig Drain Eng 118(6):977–980
Stalham MA, Allen EJ (2004) Water uptake in the potato (Solanum tuberosum) crop. J Agric Sci 142(4):373–393
Stanhill G (1973) Evaporation, transpiration and evapotranspiration: a case for Ockham’s razor. In: Hadas A, Swartzendruber D, Rijtema PE, Fuchs M, Yardn B (eds) Physical aspects of soil water and salts in ecosystems. Springer, New York, pp 207–220
Tabari H, Grismer ME, Trajkovic S (2013) Comparative analysis of 31 reference evapotranspiration methods under humid conditions. Irrig Sci 31(2):107–117
Thornthwaite CW (1948) An approach toward a rational classification of climate, vol 66(1). LWW, Philadelphia, p 77
Trout TJ, Garcia-Castillas IG, Hart WE (1982) Soil water engineering: field and laboratory manual. Academic Publishers, Jaipur
Turc L (1961) Estimation of irrigation water requirements, potential evapotranspiration: a simple climatic formula evolved up to date. Ann Agron 12(1):13–49
Van Genuchten MT (1980) A closed-form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Sci Soc Am J 44(5):892–898
Van Loon CD (1981) The effect of water stress on potato growth, development, and yield. Am Potato J 58(1):51–56
Vitosh ML (1984) Irrigation scheduling for potatoes in Michigan. Am J Potato Res 61(4):205–213
Willmott CJ (1982) Some comments on the evaluation of model performance. Bull Am Meteorol Soc 63(11):1309–1313
Xing Z, Chow L, Meng FR, Rees HW, Monteith J, Lionel S (2008) Testing reference evapotranspiration estimation methods using evaporation pan and modeling in maritime region of Canada. J Irrig Drain Eng 134(4):417–424
Yirga SA (2019) Modelling reference evapotranspiration for Megecha catchment by multiple linear regression. Model Earth Syst Environ 5(2):471–477
Yuan BZ, Nishiyama S, Kang Y (2003) Effects of different irrigation regimes on the growth and yield of drip-irrigated potato. Agric Water Manag 63(3):153–167
Zhang Y, Yu Q, Liu C, Jiang J, Zhang X (2004) Estimation of winter wheat evapotranspiration under water stress with two semi-empirical approaches. Agron J 96:159–168
Acknowledgements
The authors are thankful to the Civil Engineering Department, National Institute of Technology Hamirpur (India) for providing experimental facilities related to study.
Funding
The financial support for the experimental study was received through Ministry of Earth Sciences, India (Grant No.—MOES/NERC/IA-SWR/P3/10/2016-PC-II)—Natural Environment Research Council, UK (Grant No.—NE/N016394/1) sponsored project “Sustaining Himalayan Water Resources in a changing climate (SusHi-Wat) (2016–2020)”.
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Kumar, N., Shankar, V. & Poddar, A. Investigating the effect of limited climatic data on evapotranspiration-based numerical modeling of soil moisture dynamics in the unsaturated root zone: a case study for potato crop. Model. Earth Syst. Environ. 6, 2433–2449 (2020). https://doi.org/10.1007/s40808-020-00824-8
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DOI: https://doi.org/10.1007/s40808-020-00824-8