Using a nonlinear stochastic model to schedule silage maize harvesting on Estonian farms

Agriculture has been an important sphere of activity and a source of income for Estonians throughout their history. In Estonian climatic conditions, maize is considered a thermophilic vegetable. Relatively modest night frosts (-3 to -2^oC) in the autumn can ruin an entire harvest. The critical questions are therefore when to begin the harvesting process and what kind of machines to use in order to minimise the risk of losing the harvest and maximise the expected total yield of the silage. It is very important for farm managers to make better decisions for the prediction of agricultural output using a suitable tool. It is extremely important to increase the accuracy of forecasts. To improve scientific decision-making, in this paper, a simple nonlinear stochastic mathematical model is used to schedule the harvesting of silage maize on Estonian farms. Different model specifications are used. A computer application is developed through partnership between researchers and silage maize growers in Estonia. The model performance is analysed, specifying the harvest date, the variable productivity of harvesting machines and the different density functions of the time of the first night frosts. The analysis shows that the harvest date is an essential determinant of the potential total yield of maize silage.

[1]  James W. Jones,et al.  The DSSAT cropping system model , 2003 .

[2]  J. Ritchie,et al.  Cereal growth, development and yield , 1998 .

[3]  M. Insley,et al.  Regime switching in stochastic models of commodity prices: An application to an optimal tree harvesting problem , 2012 .

[4]  C. N. Bezuidenhout,et al.  An optimisation-based seasonal sugarcane harvest scheduling decision support system for commercial growers in South Africa , 2012 .

[5]  S. Recous,et al.  STICS : a generic model for the simulation of crops and their water and nitrogen balances. I. Theory, and parameterization applied to wheat and corn , 1998 .

[6]  Frank Ewert,et al.  Regional crop modelling in Europe: The impact of climatic conditions and farm characteristics on maize yields , 2009 .

[7]  Juha Nousiainen,et al.  Dairy farm nutrient management model. 1. Model description and validation , 2011 .

[8]  S. Chander,et al.  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 , 2006 .

[9]  Juan-Carlos Ferrer,et al.  An optimization approach for scheduling wine grape harvest operations , 2008 .

[10]  Guillermo P Podesta,et al.  Sensitivity of CERES-Maize simulated yields to uncertainty in soil properties and daily solar radiation , 2007 .

[11]  Claudio O. Stöckle,et al.  CropSyst, a cropping systems simulation model: Water/nitrogen budgets and crop yield☆ , 1994 .

[12]  Wanchen Li,et al.  Growth Dynamics and Optimal Harvesting Stage of Two Forage Maize Varieties , 2011 .

[13]  James W. Jones,et al.  Influence of likelihood function choice for estimating crop model parameters using the generalized likelihood uncertainty estimation method , 2010 .

[14]  John R. Williams,et al.  The ALMANAC model's sensitivity to input variables , 2003 .

[15]  E. Navarrete Modeling optimal pine stands harvest under stochastic wood stock and price in Chile , 2012 .

[16]  R. Braga,et al.  Crop model based decision support for maize (Zea mays L.) silage production in Portugal , 2008 .

[17]  Hans-Otto Günther,et al.  Supply optimization for the production of raw sugar , 2007 .

[18]  J. Schellberg,et al.  Simulations of plant productivity are affected by modelling approaches of farm management , 2012 .

[19]  A. Higgins,et al.  A framework for integrating a complex harvesting and transport system for sugar production , 2004 .

[20]  P. Leung,et al.  Optimal harvest time in continuous aquacultural production: The case of nonhomogeneous production cycles , 2009 .

[21]  Jesus René Villalobos,et al.  Application of planning models in the agri-food supply chain: A review , 2009, Eur. J. Oper. Res..

[22]  Franz Wirl,et al.  The consequences of irreversibility on optimal intertemporal emission policies under uncertainty , 2007, Central Eur. J. Oper. Res..

[23]  R. C. Muchow,et al.  Temperature and solar radiation effects on potential maize yield across locations. , 1990 .

[24]  É. Malézieux,et al.  SIMBA-POP: a cohort population model for long-term simulation of banana crop harvest , 2004 .

[25]  T. Palosuo,et al.  Adaptive optimization of crop production and nitrogen leaching abatement under yield uncertainty , 2011 .

[26]  R. C. Muchow,et al.  Optimising harvest date in sugar production: A case study for the Mossman mill region in Australia. I. Development of operations research model and solution , 1998 .

[27]  Xi Chen,et al.  Quantitative models for direct marketing: A review from systems perspective , 2009, Eur. J. Oper. Res..

[28]  Andrew Higgins,et al.  Assessing the potential benefits of alternative cane supply arrangements in the Australian sugar industry , 2003 .

[29]  Ajay Singh,et al.  An overview of the optimization modelling applications , 2012 .

[30]  Baris Tan,et al.  Agricultural planning of annual plants under demand, maturation, harvest, and yield risk , 2012, Eur. J. Oper. Res..

[31]  A. Herrmann,et al.  A new harvest time prognosis tool for forage maize production in Germany , 2005 .

[32]  Andrej Ceglar,et al.  Simulation of maize yield in current and changed climatic conditions: Addressing modelling uncertainties and the importance of bias correction in climate model simulations , 2012 .

[33]  G. Armstrong,et al.  Optimal forest harvest age considering carbon sequestration in multiple carbon pools: A comparative statics analysis , 2012 .

[34]  O. Ahumada,et al.  Tactical planning of the production and distribution of fresh agricultural products under uncertainty , 2012 .

[35]  Emmett J. Lodree,et al.  Production planning for a deteriorating item with stochastic demand and consumer choice , 2008 .

[36]  J. R. Kiniry,et al.  CERES-Maize: a simulation model of maize growth and development , 1986 .

[37]  Andreas Griewank,et al.  ADIFOR - Generating Derivative Codes form Fortran Programs , 1992, Sci. Program..

[38]  C. A. van Diepen,et al.  User's guide for the WOFOST 7.1 crop growth simulation model and WOFOST Control Center 1.5. , 1998 .

[39]  Jack P. C. Kleijnen,et al.  An Overview of the Design and Analysis of Simulation Experiments for Sensitivity Analysis , 2005, Eur. J. Oper. Res..

[40]  Jack P. C. Kleijnen,et al.  Sensitivity analysis by experimental design and metamodelling: Case study on simulation in national animal disease control , 2003, Eur. J. Oper. Res..

[41]  Timo Pukkala,et al.  Integrating fire risk considerations in landscape-level forest planning , 2011 .

[42]  R. Stockbridge,et al.  Thinning and harvesting in stochastic forest models , 2010 .

[43]  Sergio Maturana,et al.  A robust optimization approach to wine grape harvesting scheduling , 2010, Eur. J. Oper. Res..