A dynamical systems framework for crop models: Toward optimal fertilization and irrigation strategies under climatic variability

Aggarwal, 2006, InfoCrop: a dynamic simulation model for the assessment of crop yields, losses due to pests, and environmental impact of agro-ecosystems in tropical environments. I. Model description, Agric. Syst., 89, 1, 10.1016/j.agsy.2005.08.001 Allen, 1998 Assouline, 2015, Balancing water scarcity and quality for sustainable irrigated agriculture, Water Resour. Res., 51, 3419, 10.1002/2015WR017071 Bender, 2013, Nutrient uptake, partitioning, and remobilization in modern, transgenic insect-protected maize hybrids, Agron. J., 105, 161, 10.2134/agronj2012.0352 Boote, 1998 Brady, 1996 Brisson, 2003, An overview of the crop model STICS, Eur. J. Agron., 18, 309, 10.1016/S1161-0301(02)00110-7 Brooks, 1964 Brutsaert, 1995, Desorption and the two stages of drying of natural tallgrass prairie, Water Resour. Res., 31, 1305, 10.1029/95WR00323 Clapp, 1978, Empirical equations for some soil hydraulic properties, Water Resour. Res., 14, 601, 10.1029/WR014i004p00601 Doorenbos, 1998 Guswa, 2002, Models of soil moisture dynamics in ecohydrology: a comparative study, Water Resour. Res., 38, 10.1029/2001WR000826 Hsiao, 2009, AquaCrop – the FAO crop model to simulate yield response to water: III. Parameterization and testing for maize, Agron. J., 101, 448, 10.2134/agronj2008.0218s Irmak, 2014 Jeuffroy, 1999, Azodyn: a simple model simulating the date of nitrogen deficiency for decision support in wheat fertilization, Eur. J. Agron., 10, 129, 10.1016/S1161-0301(98)00059-8 Johnson, 1985, A theoretical analysis of grass growth under grazing, J. Theor. Biol., 112, 345, 10.1016/S0022-5193(85)80292-7 Kelliher, 1995, Maximum conductances for evaporation from global vegetation types, Agric. For. Meteorol., 73, 1, 10.1016/0168-1923(94)02178-M Laio, 2001, Plants in water-controlled ecosystems: active role in hydrologic processes and response to water stress: IV. Discussion of real cases, Adv. Water Resour., 24, 745, 10.1016/S0309-1708(01)00007-0 Laio, 2001, Plants in water-controlled ecosystems: active role in hydrologic processes and response to water stress: II. Probabilistic soil moisture dynamics, Adv. Water Resour., 24, 707, 10.1016/S0309-1708(01)00005-7 Lamm, 2007, Crop production and economics in Northwest Kansas as related to irrigation capacity, Appl. Eng. Agric., 23, 737, 10.13031/2013.24057 Makeham, 1860, On the law of mortality and construction of annuity tables, Assur. Mag. J. Inst. Actuar., 8, 301, 10.1017/S204616580000126X Manzoni, 2007, A theoretical analysis of nonlinearities and feedbacks in soil carbon and nitrogen cycles, Soil Biol. Biochem., 39, 1542, 10.1016/j.soilbio.2007.01.006 Manzoni, 2004, Soil nutrient cycles as a nonlinear dynamical system, Nonlinear Process. Geophys., 11, 589, 10.5194/npg-11-589-2004 Mau, 2015, A dynamical system approach to soil salinity and sodicity, Adv. Water Resour., 83, 68, 10.1016/j.advwatres.2015.05.010 Murray, 2002 National Atmospheric Deposition Program (NRSP-3), 2017 Parolari, 2016, Forest soil carbon and nitrogen cycles under biomass harvest: stability, transient response, and feedback, Ecol. Model., 329, 64, 10.1016/j.ecolmodel.2016.03.003 Pelak, 2016, Bistable plant–soil dynamics and biogenic controls on the soil production function, Earth Surf. Process. Landf., 41, 1011, 10.1002/esp.3878 Porporato, 2003, Hydrologic controls on soil carbon and nitrogen cycles. I. Modeling scheme, Adv. Water Resour., 26, 45, 10.1016/S0309-1708(02)00094-5 Porporato, 2002, Ecohydrology of water-controlled ecosystems, Adv. Water Resour., 25, 1335, 10.1016/S0309-1708(02)00058-1 Porporato, 2015, Ecohydrological modeling in agroecosystems: examples and challenges, Water Resour. Res., 51, 5081, 10.1002/2015WR017289 Raes, 2009, AquaCrop – the FAO crop model to simulate yield response to water: II. Main algorithms and software description, Agron. J., 101, 438, 10.2134/agronj2008.0140s Rhoads, 2000, Irrigation scheduling for corn – why and how Ritchie, 1998, Cereal growth, development, and yield, 79 Ritchie, 1972, Model for predicting evaporation from a row crop with incomplete cover, Water Resour. Res., 8, 1204, 10.1029/WR008i005p01204 Rodríguez-Iturbe, 2004 Rodríguez-Iturbe, 1999, Probabilistic modelling of water balance at a point: the role of climate, soil and vegetation, Proc. R. Soc. Lond. A: Math. Phys. Eng. Sci., 3789, 10.1098/rspa.1999.0477 Schaffer, 2015, Plant biomass and soil moisture dynamics: analytical results, 2050179 Sivapalan, 2012, Socio-hydrology: a new science of people and water, Hydrol. Process., 26, 1270, 10.1002/hyp.8426 Steduto, 2009, AquaCrop – the FAO crop model to simulate yield response to water: I. Concepts and underlying principles, Agron. J., 101, 426, 10.2134/agronj2008.0139s Stöckle, 2003, Cropsyst, a cropping systems simulation model, Eur. J. Agron., 18, 289, 10.1016/S1161-0301(02)00109-0 Strogatz, 2014 Thornley, 1995, Complex dynamics in a carbon–nitrogen model of a grass–legume pasture, Ann. Bot., 75, 79, 10.1016/S0305-7364(05)80012-5 Thornley, 1992, Nitrogen relations in a forest plantation–soil organic matter ecosystem model, Ann. Bot., 70, 137, 10.1093/oxfordjournals.aob.a088450 Thornley, 1989, A model of nitrogen flows in grassland, Plant Cell Environ., 12, 863, 10.1111/j.1365-3040.1989.tb01967.x Thornley, 1990 Tilman, 1991, Oscillations and chaos in the dynamics of a perennial grass, Nature, 353, 653, 10.1038/353653a0 Vico, 2010, Traditional and microirrigation with stochastic soil moisture, Water Resour. Res., 46, 10.1029/2009WR008130 Vico, 2011, From rainfed agriculture to stress-avoidance irrigation: I. A generalized irrigation scheme with stochastic soil moisture, Adv. Water Resour., 34, 263, 10.1016/j.advwatres.2010.11.010 Vico, 2011, From rainfed agriculture to stress-avoidance irrigation: II. Sustainability, crop yield, and profitability, Adv. Water Resour., 34, 272, 10.1016/j.advwatres.2010.11.011 Walker, 2004, Resilience, adaptability and transformability in social–ecological systems, Ecol. Soc., 9 Wallach, 2006