Optimal amounts of water and nitrogen applied to sugar beet when crop price depends on its sugar content
Abstract
Aim of study: To derive mathematical formulas to determine the optimum amounts of applied water and N at variable crop prices and rainfall conditions for sugar beet.
Area of study: Karaj Research Center, Alborz Province, Iran
Material and methods: At first, mathematical formulas were derived to determine optimum applied water and nitrogen for sugar beet under rainfall occurrence, land limited (in cases that arable land area is limited and the farmer can not put more land area under irrigation) and water limited conditions when crop price depends on sugar content. Second, this theory was applied to analyze the relevant experimental data. The experiment was a split-plot design with irrigation treatments as the main plots (40%, 80%, 120% and 160% of evaporation from the surface of class A evaporation pan) and N fertilizer rates (0, 90, 180 and 270 kg N/ha) as subplots.
Main results: Under land and water limiting conditions, deficit irrigation of 27% and 48% led to 6.4% and 25.4% decrease in yield and 21.4% and 96.2% increase in total net income, respectively, compared with full irrigation. Under water limiting conditions, cultivated land area increased by 93.7, 108 and 128% for 0, 60 and 120 mm rainfall, respectively. Under land limiting conditions, amounts of optimum irrigation water were 12381.2, 11781.2 and 11181.2 m3/ha, for 0, 60 and 120 mm rainfalls, respectively. The corresponding values for N were 262.5 kg/ha in all three rainfall quantities. Besides, under water limiting conditions, optimum amounts of irrigation water were 8708.1, 7828.8 and 6882.1 m3/ha for 0, 60 and 120 mm rainfalls, respectively. The corresponding values for N were 301.1, 299.5 and 295.5 kg/ha, respectively. Optimum amounts of irrigation water and N decreased by increase in rainfall amount.
Research highlights: Under limited irrigation water conditions, if the rainfall, residual N, water cost and base crop price increases, the value of optimum applied water should be decreased.Downloads
References
Akeson WR, Westfall DG, Henson MA, Stout EL, 1979. Influence of nitrogen fertility level and topping method on yield, quality, and storage losses in sugar beets. Agron J 71: 292. https://doi.org/10.2134/agronj1979.00021962007100020018x
Amiri MJ, Hamidifar H, Bahrami M, Eslamian S, 2016. Optimization of deficit-irrigation under variable seasonal rainfall and planning scenarios for rice in a semi-arid region of Iran. Int J Hyd Sci Tech 6: 331-343. https://doi.org/10.1504/IJHST.2016.079351
Barton L, Colmer TD, 2006. Irrigation and fertilizer strategies for minimizing nitrogen leaching from turfgrass. Agric Water Manag 80: 160-175. https://doi.org/10.1016/j.agwat.2005.07.011
Barzegari M, Sepaskhah AR, Ahmadi SH, 2017. Irrigation and nitrogen managements affect nitrogen leaching and root yield of sugar beet. Nut Cyc Agroeco 108: 211-230. https://doi.org/10.1007/s10705-017-9853-y
Burke E, Kendall G, Newall J, Hart E, Ross P, Schulenburg S, 2003. Hyper-heuristics: An emerging direction in modern search technology. In: Handbook of metaheuristics, pp: 457-474. Springer, Boston, MA, USA. https://doi.org/10.1007/0-306-48056-5_16
Carter JN, 1982. Effect of nitrogen and irrigation levels, location and year on sucrose concentration of sugar beet in southern Idaho. Am Soc Sugar Beet Tech 21: 86-306. https://doi.org/10.5274/jsbr.21.3.286
Choluj D, Karwowska R, Ciszewska A, Jasińska M, 2008. Influence of long-term drought stress on osmolyte accumulation in sugar beet (Beta vulgaris L.) plants. Acta Physiol Plant 30: 679-687. https://doi.org/10.1007/s11738-008-0166-2
Chow VT, Maidment DR, Mays LW, 1988. Handbook of applied hydrology. McGraw-Hill press, NY.
Dhanke WG, Vass E, 1973. Testing soil for nitrogen. In: Soil testing and plant analysis, rev. ed.; Walsh LE, Beaton J (Eds.), pp: 97-144. Soil Sci Soc Am Inc., Madison, WI, USA.
Ehteshami M, Biglarijoo N, 2014. Determination of nitrate concentration in groundwater in agricultural area in Babol County, Iran. Iran J Public Health 2: 1-9. https://doi.org/10.18869/acadpub.jhs.2.4.1
English M, Raja SN, 1996. Perspective on deficit irrigation. Agric Water Manage 32: 1-14. https://doi.org/10.1016/S0378-3774(96)01255-3
English MJ, Musick JT, Murty VVN, 1990. Deficit irrigation. In: Management of farm irrigation systems; Hoffman GJ, Howell TA, Solomon KH (eds). ASAE Monograph no. 9. Am Soc of Agr Eng, USA.
Feng CW, Liu L, Burns SA, 1997. Using genetic algorithms to solve construction time-cost trade-off problems. J Comput Civil Eng 11 (3): 184-189. https://doi.org/10.1061/(ASCE)0887-3801(1997)11:3(184)
Hoffmann CM, 2010. Root quality of sugar beet. Sugar Tech 12: 276-287. https://doi.org/10.1007/s12355-010-0040-6
Jalilian A, Shiravani AR, Nemati A, Basati J, 2001. Effects of deficit irrigation on the production and economy of sugar beet in Kermanshah region. Sugar Beet 17: 1-14. (In Persian).
Karimi A, Naderi M, 2008. Different levels of irrigation and nitrogen effects on quantitative and qualitative yield and water use efficiency of Sugar beet. J Water Soil 22: 235-246. (In Persian with English abstract).
Kaveh A, Talatahari S, 2010. A novel heuristic optimization method: charged system search. Acta Mechanica 213 (3-4): 267-289. https://doi.org/10.1007/s00707-009-0270-4
Khorramian M, Hosseinpour M, 2016. Autumn sugar beet irrigation water optimization basis of yield and cost functions in north of the Khuzestan. J Irri Sci Eng 39: 95-106 (In Persian with English abstract).
Khozaie M, Sepaskhah AR, 2018. Economic analysis of the optimal level of supplemental irrigation for rain-fed figs. Iran Agric Res 37 (2): 17-26.
Loel J, Kenter C, Märländer B, Hoffmann CM, 2014. Assessment of breeding progress in sugar beet by testing old and new varieties under greenhouse and field conditions. Eur J Agr 52: 146-156. https://doi.org/10.1016/j.eja.2013.09.016
Monreal JA, Jiménez ET, Remesal E, Morillo-Velarde R, García-Mauriño S, Echevarría C, 2007. Proline content of sugar beet storage roots: Response to water deficit and nitrogen fertilization at field conditions. Environ Exp Bot 60: 257-267. https://doi.org/10.1016/j.envexpbot.2006.11.002
Mulder P, 2018. Heuristic Method. https://www.toolshero.com/problem-solving/heuristic-method/ [8/3/19].
Muñoz MA, Sun Y, Kirley M, Halgamuge SK, 2015. Algorithm selection for black-box continuous optimization problems: A survey on methods and challenges. Info Sci 317: 224-245. https://doi.org/10.1016/j.ins.2015.05.010
Oweis T, Hachum A, 2006. Water harvesting and supplemental irrigation for improved water productivity of dry farming systems in West Asia and North Africa. Agric Water Manage 80: 57-73. https://doi.org/10.1016/j.agwat.2005.07.004
Pereira LS, Oweis T, Zairi A, 2002. Irrigation management under water scarcity. Agric Water Manage 57: 175-206. https://doi.org/10.1016/S0378-3774(02)00075-6
Rahmati O, Samani AN, Mahmoodi N, Mahdavi M, 2015. Assessment of the contribution of N-fertilizers to nitrate pollution of groundwater in western Iran (Case Study: Ghorveh-Dehgelan Aquifer). Water Qual Expos Hea 7: 143-151. https://doi.org/10.1007/s12403-014-0135-5
Rey D, Holman IP, Daccache A, Morris J, Weatherhead EK, Knox JW, 2016. Modelling and mapping the economic value of supplemental irrigation in a humid climate. Agric Water Manage 173: 13-22. https://doi.org/10.1016/j.agwat.2016.04.017
Rinaldi M, Vonella AV, 2006. The response of autumn and spring sown sugar beet (Beta vulgaris L.) to irrigation in Southern Italy: Water and radiation use efficiency. Field Crops Res 95: 103-114. https://doi.org/10.1016/j.fcr.2004.12.004
Rodríguez N, Gupta A, Zabala PL, Cabrera-Guerrero G, 2018. Optimization algorithms combining (meta) heuristics and mathematical programming and its application in engineering. Math Probl Eng 2018: 3967457. https://doi.org/10.1155/2018/3967457
Sadeghi-Shoae M, Taleghani DF, Paknejad F, 2015. Meta-analysis the effect of nitrogen fertilizer on quantitative and qualitative characteristics of sugar beet. Biol Forum 7: 65-71.
Sepaskhah AR, Akbari D, 2005. Deficit irrigation planning under variable seasonal rainfall. Biosys Eng 92: 97-106. https://doi.org/10.1016/j.biosystemseng.2005.05.014
Sepaskhah AR, Azizian A, Tavakoli AR, 2006. Optimal applied water and nitrogen for winter wheat under variable seasonal rainfall and planning scenarios for consequent crops in a semi-arid region. Agric Water Manage 84: 113-122. https://doi.org/10.1016/j.agwat.2006.01.008
Sepaskhah AR, Dehbozorgi F, Kamgar-Haghighi AA, 2008. Optimal irrigation water and saffron corm planting intensity under two cultivation practices in a semi-arid region. Biosys Eng 101: 452-462. https://doi.org/10.1016/j.biosystemseng.2008.09.014
Shabani A, Sepaskhah AR, Khorramian M, 2018. Mathematical-economic analysis to determine optimal applied water in case of crop price depends on its quality. Int J Plant Prod 12: 191-202. https://doi.org/10.1007/s42106-018-0020-4
Tavakoli AR, Fardad H, 1999. Economic evaluation of deficit irrigation on sugar beet for optimization of water use. Iran J Agric Sci 30: 575-584. (In Persian with English abstract).
Winter SR, 1988. Influence of seasonal irrigation amount on sugar beet yield and quality. J Sugar Beet Res 25: 1-10. https://doi.org/10.5274/jsbr.25.1.1
Yoo DG, Kim JH, 2014. Meta-heuristic algorithms as tools for hydrological science. Geosci Let 1 (1): 4. https://doi.org/10.1186/2196-4092-1-4
Zand-Parsa Sh, Sepaskhah AR, 2001. Optimal applied water and nitrogen for corn. Agric Water Manage 52: 73-85. https://doi.org/10.1016/S0378-3774(01)00106-8
Zhang H, Oweis T, 1999. Water-yield relations and optimal irrigation scheduling of wheat in the Mediterranean region. Agric Water Manage 38: 195-211. https://doi.org/10.1016/S0378-3774(98)00069-9
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