Bulletin of Mathematical Biology

, Volume 77, Issue 2, pp 298–318

Ecohydrology of Agroecosystems: Quantitative Approaches Towards Sustainable Irrigation

Original Article
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Abstract

Irrigation represents one of the main strategies to enhance and stabilize agricultural productivity, by mitigating the effects of rainfall vagaries. In the face of the projected growth in population and in biofuel demands, as well as shifts in climate and dietary habits, a more sustainable management of water resources in agroecosystems is needed. The field of ecohydrology, traditionally focusing on natural ecosystems, has the potential to offer the necessary quantitative tools to assess and compare agricultural enterprises across climates, soil types, crops, and irrigation strategies, accounting for the unpredictability of the hydro-climatic forcing. Here, agricultural sustainability and productivity are assessed with reference to water productivity (defined as the ratio between yield and total supplied water), yields, water requirements, and their variability—a crucial element for food security and resource allocation planning. These synthetic indicators are quantified by means of a probabilistic description of the soil water balance and crop development. The model results allow the interpretation of patterns of water productivity observed in Zea mays (maize) and Triticum aestivum (wheat), grown under a variety of soils, climates, and irrigation strategies. Employing the same modeling framework, the impact of rainfall pattern and irrigation strategy on yield and water requirements is further explored. The obtained standard deviations of yield and water requirements suggest the existence of a nonlinear tradeoff between yield stabilization and variability of water requirements, which in turn is strongly impacted by irrigation strategy. Moreover, intermediate rainfall amounts are associated to the highest variability in yields and irrigation requirements, although allowing the maximum water productivity. The existence of these tradeoffs between productivity, reliability, and sustainability poses a problem for water management, in particular in mesic climates.

Keywords

Water productivity Yield Sustainability Irrigation Stochastic soil water balance Rainfall unpredictability 

References

  1. Abd El-Wahed MH, Ali EA (2013) Effect of irrigation systems, amounts of irrigation water and mulching on corn yield, water use efficiency and net profit. Agric Water Manag 120:64–71CrossRefGoogle Scholar
  2. Ali MH, Talukder MSU (2008) Increasing water productivity in crop production—a synthesis. Agric Water Manag 95:1201–1213CrossRefGoogle Scholar
  3. Ali MH, Hoque MR, Hassan AA, Khair A (2007) Effects of deficit irrigation on yield, water productivity, and economic returns of wheat. Agric Water Manag 92:151–161CrossRefGoogle Scholar
  4. Alizadeh H, Mousavi SJ (2013) Probabilistic estimation of irrigation requirement under climate uncertainty using dichotomous and marked renewal processes. Adv Water Resour 53:263–272CrossRefGoogle Scholar
  5. AlKaisi MM, Berrada A, Stack M (1997) Evaluation of irrigation scheduling program and spring wheat yield response in southwestern Colorado. Agric Water Manag 34:137–148CrossRefGoogle Scholar
  6. Allen RG, Pereira LS, Raes D, Smith M (1998) Crop evapotranspiration: guidelines for computing crop water requirements. FAO irrigation and drainage paper 56. FAO, RomeGoogle Scholar
  7. Amir J, Krikun J, Orion D, Putter J, Klitman S (1991) Wheat production in an arid environment. 1. Water use efficiency, as affected by management practices. Field Crop Res 27:351–364CrossRefGoogle Scholar
  8. Bennett JM, Mutti LSM, Rao PSC, Jones JW (1989) Interactive effects of nitrogen and water stresses on biomass accumulation, nitrogen uptake, and seed yield of maize. Field Crop Res 19:297–311CrossRefGoogle Scholar
  9. Blum A (2009) Effective use of water (EUW) and not water-use efficiency (WUE) is the target of crop yield improvement under drought stress. Field Crop Res 112:119–123CrossRefGoogle Scholar
  10. Bonfil DJ, Mufradi I, Klitman S, Asido S (1999) Wheat grain yield and soil profile water distribution in a no-till arid environment. Agron J 91:368–373CrossRefGoogle Scholar
  11. Bras RL, Cordova JR (1981) Intraseasonal water allocation in deficit irrigation. Water Resour Res 17:866–874CrossRefGoogle Scholar
  12. Brown PD, Cochrane TA, Krom TD (2010) Optimal on-farm irrigation scheduling with a seasonal water limit using simulated annealing. Agric Water Manag 97:892–900CrossRefGoogle Scholar
  13. Budyko MI (1974) Climate and life. Academic Press, New YorkGoogle Scholar
  14. Cai XM, Rosegrant MW (2004) Irrigation technology choices under hydrologic uncertainty: a case study from Maipo River Basin, Chile. Water Resour Res 40:W04103Google Scholar
  15. Çakir R (2004) Effect of water stress at different development stages on vegetative and reproductive growth of corn. Field Crop Res 89:1–16CrossRefGoogle Scholar
  16. Cowan I (1982) Regulation of water use in relation to carbon gain in higher plants. In: Lange OE, Nobel PS, Osmond CB, Ziegler H (eds) Physiological plant ecology II. Water relations and carbon assimilation. Springer, Berlin, pp 589–614CrossRefGoogle Scholar
  17. Cowan I (1986) Economics of carbon fixation in higher plants. In: Givnish TJ (ed) On the economy of plant form and function. Cambridge University Press, Cambridge, pp 133–170Google Scholar
  18. D’Odorico P, Laio F, Porporato A, Ridolfi L, Rinaldo A, Iturbe IR (2010) Ecohydrology of terrestrial ecosystems. Bioscience 60:898–907CrossRefGoogle Scholar
  19. de Fraiture C, Wichelns D (2010) Satisfying future water demands for agriculture. Agric Water Manag 97:502–511CrossRefGoogle Scholar
  20. Dewulf J, Van Langenhove H, Muys B, Bruers S, Bakshi BR, Grubb GF, Paulus DM, Sciubba E (2008) Exergy: its potential and limitations in environmental science and technology. Environ Sci Technol 42:2221–2232CrossRefGoogle Scholar
  21. Eagleson PS (1978) Climate, soil, and vegetation. 1. Introduction to water-balance dynamics. Water Resour Res 14:705–712CrossRefGoogle Scholar
  22. Farré I, Faci JM (2006) Comparative response of maize (Zea mays L.) and sorghum (Sorghum bicolor L. Moench) to deficit irrigation in a Mediterranean environment. Agric Water Manag 83:135–143CrossRefGoogle Scholar
  23. Farré I, Faci JM (2009) Deficit irrigation in maize for reducing agricultural water use in a Mediterranean environment. Agric Water Manag 96:383–394CrossRefGoogle Scholar
  24. Fengrui L, Zhao S, Geballe GT (2000) Water use patterns and agronomic performance for some cropping systems with and without fallow crops in a semi-arid environment of northwest China. Agric Ecosyst Environ 79:129–142CrossRefGoogle Scholar
  25. Ganji A, Ponnambalam K, Khalili D, Karamouz M (2006) A new stochastic optimization model for deficit irrigation. Irrig Sci 25:63–73CrossRefGoogle Scholar
  26. Geerts S, Raes D (2009) Deficit irrigation as an on-farm strategy to maximize crop water productivity in dry areas. Agric Water Manag 96:1275–1284CrossRefGoogle Scholar
  27. Gordon LJ, Finlayson CM, Falkenmark M (2010) Managing water in agriculture for food production and other ecosystem services. Agric Water Manag 97:512–519CrossRefGoogle Scholar
  28. Grabow GL, Huffman RL, Evans RO (2011) SDI dripline spacing effect on corn and soybean yield in a piedmont clay soil. J Irrig Drain Eng ASCE 137:27–36CrossRefGoogle Scholar
  29. Grafton RQ, Chu HL, Stewardson M, Kompas T (2011) Optimal dynamic water allocation: irrigation extractions and environmental tradeoffs in the Murray River, Australia. Water Resour Res 47:W00G08CrossRefGoogle Scholar
  30. Grassini P, Yang H, Cassman KG (2009) Limits to maize productivity in Western Corn–Belt: a simulation analysis for fully irrigated and rainfed conditions. Agric For Meteorol 149:1254–1265CrossRefGoogle Scholar
  31. Haberl H, Erb KH, Krausmann F, Gaube V, Bondeau A, Plutzar C, Gingrich S, Lucht W, Fischer-Kowalski M (2007) Quantifying and mapping the human appropriation of net primary production in earth’s terrestrial ecosystems. Proc Natl Acad Sci USA 104:12942–12945CrossRefGoogle Scholar
  32. Howell TA, Yazar A, Schneider AD, Dusek DA, Copeland KS (1995) Yield and water use efficiency of corn in response to LEPA irrigation. Trans ASAE 38:1737–1747CrossRefGoogle Scholar
  33. Hsiao TC (1973) Plant responses to water stress. Ann Rev Plant Physiol Plant Mol Biol 24:519–570CrossRefGoogle Scholar
  34. Igbadun HE, Tarimo A, Salim BA, Mahoo HF (2007) Evaluation of selected crop water production functions for an irrigated maize crop. Agric Water Manag 94:1–10CrossRefGoogle Scholar
  35. Ilbeyi A, Ustun H, Oweis T, Pala M, Benli B (2006) Wheat water productivity and yield in a cool highland environment: effect of early sowing with supplemental irrigation. Agric Water Manag 82:399–410CrossRefGoogle Scholar
  36. IPCC (2007) Climate change 2007: synthesis report. In: Team CW, Pachauri RK, Reisinger A (eds) Contribution of working groups I, II and III to the fourth assessment report of the intergovernmental panel on climate change. IPCC, Geneva, p 104Google Scholar
  37. Jiang J, Huo Z, Feng S, Zhang C (2012) Effect of irrigation amount and water salinity on water consumption and water productivity of spring wheat in Northwest China. Field Crop Res 137:78–88CrossRefGoogle Scholar
  38. Kang SZ, Shi WJ, Zhang JH (2000) An improved water-use efficiency for maize grown under regulated deficit irrigation. Field Crop Res 67:207–214CrossRefGoogle Scholar
  39. Kiziloglu FM, Sahin U, Kuslu Y, Tunc T (2009) Determining water-yield relationship, water use efficiency, crop and pan coefficients for silage maize in a semiarid region. Irrig Sci 27:129–137CrossRefGoogle Scholar
  40. Kumar DN, Raju KS, Ashok B (2006) Optimal reservoir operation for irrigation of multiple crops using genetic algorithms. J Irrig Drain Eng ASCE 132:123–129CrossRefGoogle Scholar
  41. Kuo SF, Liu CW (2003) Simulation and optimization model for irrigation planning and management. Hydrol Process 17:3141–3159CrossRefGoogle Scholar
  42. Kuo SF, Merkley GP, Liu CW (2000) Decision support for irrigation project planning using a genetic algorithm. Agric Water Manag 45:243–266CrossRefGoogle Scholar
  43. Latta J, O’Leary GJ (2003) Long-term comparison of rotation and fallow tillage systems of wheat in Australia. Field Crop Res 83:173–190CrossRefGoogle Scholar
  44. Lawlor DW, Tezara W (2009) Causes of decreased photosynthetic rate and metabolic capacity in water-deficient leaf cells: a critical evaluation of mechanisms and integration of processes. Ann Bot 103:561–579CrossRefGoogle Scholar
  45. Leakey ADB, Ainsworth EA, Bernacchi CJ, Rogers A, Long SP, Ort DR (2009) Elevated CO\(_{2}\) effects on plant carbon, nitrogen, and water relations: six important lessons from FACE. J Exp Bot 60:2859–2876CrossRefGoogle Scholar
  46. Li FM, Song QH, Liu HS, Li FR, Liu XL (2001) Effects of pre-sowing irrigation and phosphorus application on water use and yield of spring wheat under semi-arid conditions. Agric Water Manag 49:173–183CrossRefGoogle Scholar
  47. Li P, Chen J, Wu P (2012) Evaluation of grain yield and three physiological traits in 30 spring wheat genotypes across three irrigation regimes. Crop Sci 52:110–121CrossRefGoogle Scholar
  48. Lohse KA, Brooks PD, McIntosh JC, Meixner T, Huxman TE (2009) Interactions between biogeochemistry and hydrologic systems. Annu Rev Environ Resour 34:65–96CrossRefGoogle Scholar
  49. Long SP, Ort DR (2010) More than taking the heat: crops and global change. Curr Opin Plant Biol 13:241–248CrossRefGoogle Scholar
  50. Mannocchi F, Mecarelli P (1994) Optimization analysis of deficit irrigation systems. J Irrig Drain Eng ASCE 120:484–503CrossRefGoogle Scholar
  51. Manzoni S, Porporato A (2009) Soil carbon and nitrogen mineralization: theory and models across scales. Soil Biol Biochem 41:1355–1379CrossRefGoogle Scholar
  52. Manzoni S, Vico G, Katul GG, Palmroth S, Porporato A (2014) Optimal plant water use strategies under stochastic rainfall. Water Resour Res. doi:10.1002/2014WR015375
  53. Marques GF, Lund JR, Howitt RE (2005) Modeling irrigated agricultural production and water use decisions under water supply uncertainty. Water Resour Res 41:W08423CrossRefGoogle Scholar
  54. Matanga GB, Mariño MA (1979) Irrigation planning. 2. Water allocation for leaching and irrigation purposes. Water Resour Res 15:679–683CrossRefGoogle Scholar
  55. Molden D, Oweis T, Steduto P, Bindraban P, Hanjra MA, Kijne J (2010) Improving agricultural water productivity: between optimism and caution. Agric Water Manag 97:528–535CrossRefGoogle Scholar
  56. Mrabet R (2002) Wheat yield and water use efficiency under contrasting residue and tillage management systems in a semiarid area of Morocco. Exp Agric 38:237–248CrossRefGoogle Scholar
  57. Mugabe FT, Nyakatawa EZ (2000) Effect of deficit irrigation on wheat and opportunities of growing wheat on residual soil moisture in southeast Zimbabwe. Agric Water Manag 46:111–119CrossRefGoogle Scholar
  58. Nilsen ET, Orcutt DM (1998) Physiology of plant under stress: abiotic factors. Wiley, New YorkGoogle Scholar
  59. Norwood CA (2000) Water use and yield of limited-irrigated and dryland corn. Soil Sci Soc Am J 64:365–370CrossRefGoogle Scholar
  60. Nykanen DK, Foufoula-Georgiou E (2001) Soil moisture variability and scale-dependency of nonlinear parameterizations in coupled land-atmosphere models. Adv Water Resour 24:1143–1157CrossRefGoogle Scholar
  61. O’Leary GJ, Connor DJ (1997) Stubble retention and tillage in a semi-arid environment. 3. Response of wheat. Field Crop Res 54:39–50CrossRefGoogle Scholar
  62. Oweis T, Hachum A (2009) Optimizing supplemental irrigation: tradeoffs between profitability and sustainability. Agric Water Manag 96:511–516CrossRefGoogle Scholar
  63. Oweis T, Zhang HP, Pala M (2000) Water use efficiency of rainfed and irrigated bread wheat in a mediterranean environment. Agron J 92:231–238CrossRefGoogle Scholar
  64. Payero JO, Tarkalson DD, Irmak S, Davison D, Petersen JL (2009) Effect of timing of a deficit-irrigation allocation on corn evapotranspiration, yield, water use efficiency and dry mass. Agric Water Manag 96:1387–1397CrossRefGoogle Scholar
  65. Rahman SM, Khalil MI, Ahmed MF (1995) Yield water relations and nitrogen utilization by wheat in salt-affected soils of Bangladesh. Agric Water Manag 28:49–56CrossRefGoogle Scholar
  66. Rhenals AE, Bras RL (1981) The irrigation scheduling problem and evapo-transpiration uncertainty. Water Resour Res 17:1328–1338CrossRefGoogle Scholar
  67. Rodriguez-Iturbe I, Porporato A (2004) Ecohydrology of water-controlled ecosystems—soil moisture and plant dynamics. Cambridge University Press, CambridgeGoogle Scholar
  68. Rodriguez-Iturbe I, Porporato A, Ridolfi L, Isham V, Cox DR (1999) Probabilistic modelling of water balance at a point: the role of climate, soil and vegetation. Proc R Soc A 455:3789–3805CrossRefMATHGoogle Scholar
  69. Rojstaczer S, Sterling SM, Moore NJ (2001) Human appropriation of photosynthesis products. Science 294:2549–2552CrossRefGoogle Scholar
  70. Sadras VO, Angus JF (2006) Benchmarking water-use efficiency of rainfed wheat in dry environments. Aust J Agric Res 57:847–856CrossRefGoogle Scholar
  71. Schmidhuber J, Tubiello FN (2007) Global food security under climate change. Proc Natl Acad Sci USA 104:19703–19708CrossRefGoogle Scholar
  72. Shangguan ZP, Shao M, Horton R, Lei TW, Qin L, Ma JQ (2002) A model for regional optimal allocation of irrigation water resources under deficit irrigation and its applications. Agric Water Manag 52:139–154CrossRefGoogle Scholar
  73. Sharma DK, Kumar A, Singh KN (1990) Effect of irrigation scheduling on growth, yield and evapotranspiration of wheat in sodic soils. Agric Water Manag 18:267–276CrossRefGoogle Scholar
  74. Shiklomanov IA (2000) Appraisal and assessment of world water resources. Water Int 25:11–32CrossRefGoogle Scholar
  75. Steele DD, Stegman EC, Gregor BL (1994) Field comparison of irrigation scheduling methods for corn. Trans ASAE 37:1197–1203CrossRefGoogle Scholar
  76. Steele DD, Stegman EC, Knighton RE (2000) Irrigation management for corn in the northern Great Plains, USA. Irrig Sci 19:107–114CrossRefGoogle Scholar
  77. Suyker AE, Verma SB (2009) Evapotranspiration of irrigated and rainfed maize–soybean cropping systems. Agric For Meteorol 149:443–452CrossRefGoogle Scholar
  78. Tilman D, Cassman KG, Matson PA, Naylor R, Polasky S (2002) Agricultural sustainability and intensive production practices. Nature 418:671–677CrossRefGoogle Scholar
  79. Vedula S, Kumar DN (1996) An integrated model for optimal reservoir operation for irrigation of multiple crops. Water Resour Res 32:1101–1108CrossRefGoogle Scholar
  80. Verschuren D, Laird KR, Cumming BF (2000) Rainfall and drought in equatorial east Africa during the past 1,100 years. Nature 403:410–414CrossRefGoogle Scholar
  81. Vico G, Porporato A (2010) Traditional and microirrigation with stochastic soil moisture. Water Resour Res 46:W03509CrossRefGoogle Scholar
  82. Vico G, Porporato A (2011a) From rainfed agriculture to stress-avoidance irrigation: I. A generalized irrigation scheme with stochastic soil moisture. Adv Water Resour 34:263–271CrossRefGoogle Scholar
  83. Vico G, Porporato A (2011b) From rainfed agriculture to stress-avoidance irrigation: II. Sustainability, crop yield, and profitability. Adv Water Resour 34:272–281CrossRefGoogle Scholar
  84. Vico G, Porporato A (2013) Probabilistic description of crop development and irrigation water requirements with stochastic rainfall. Water Resour Res 49:1466–1482CrossRefGoogle Scholar
  85. Vitousek PM, Mooney HA, Lubchenco J, Melillo JM (1997) Human domination of Earth’s ecosystems. Science 277:494–499CrossRefGoogle Scholar
  86. Wang Q, Li F, Zhang E, Li G, Vance M (2012) The effects of irrigation and nitrogen application rates on yield of spring wheat (longfu-920), and water use efficiency and nitrate nitrogen accumulation in soil. Aust J Crop Sci 6:662–672Google Scholar
  87. Zhang BC, Li FM, Huang GB, Gan YT, Liu PH, Cheng ZY (2005) Effects of regulated deficit irrigation on grain yield and water use efficiency of spring wheat in an arid environment. Can J Plant Sci 85:829–837CrossRefGoogle Scholar

Copyright information

© Society for Mathematical Biology 2014

Authors and Affiliations

  1. 1.Department of Crop Production EcologySwedish University of Agricultural Sciences (SLU)UppsalaSweden
  2. 2.Department of Civil and Environmental EngineeringDuke UniversityDurhamUSA
  3. 3.Nicholas School of the EnvironmentDuke UniversityDurhamUSA

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