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A systematic representation of crop rotations


Author Info

  • Castellazzi, M.S.
  • Wood, G.A.
  • Burgess, P.J.
  • Morris, J.
  • Conrad, K.F.
  • Perry, J.N.
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    Crop rotations are allocations by growers of crop types to specific fields through time. This paper aims at presenting (i) a systematic and rigorous mathematical representation of crops rotations; and (ii) a concise mathematical framework to model crop rotations, which is useable on landscape scale modelling of agronomical practices. Rotations can be defined as temporal arrangements of crops and can be classified systematically according to their internal variability and cyclical pattern. Crop sequences in a rotation can be quantified as a transition matrix, with the Markovian property that the allocation in a given year depends on the crop allocated in the previous year. Such transition matrices can represent stochastic processes and thus facilitate modelling uncertainty in rotations, and forecasting of the long-term proportions of each crop in a rotation, such as changes in climate or economics. The matrices also permit modelling transitions between rotations due to external variables. Computer software was developed that incorporates these techniques and was used to simulate landscape scale agronomic processes over decadal periods.

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    Bibliographic Info

    Article provided by Elsevier in its journal Agricultural Systems.

    Volume (Year): 97 (2008)
    Issue (Month): 1-2 (April)
    Pages: 26-33

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    Handle: RePEc:eee:agisys:v:97:y:2008:i:1-2:p:26-33

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    1. Matthews, K.B. & Buchan, K. & Sibbald, A.R. & Craw, S., 2006. "Combining deliberative and computer-based methods for multi-objective land-use planning," Agricultural Systems, Elsevier, Elsevier, vol. 87(1), pages 18-37, January.
    2. Haneveld, W. K. Klein & Stegeman, A. W., 2005. "Crop succession requirements in agricultural production planning," European Journal of Operational Research, Elsevier, Elsevier, vol. 166(2), pages 406-429, October.
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    Cited by:
    1. Moreau, Pierre & Ruiz, Laurent & Vertès, Françoise & Baratte, Christine & Delaby, Luc & Faverdin, Philippe & Gascuel-Odoux, Chantal & Piquemal, Benoit & Ramat, Eric & Salmon-Monviola, Jordy & Durand, 2013. "CASIMOD’N: An agro-hydrological distributed model of catchment-scale nitrogen dynamics integrating farming system decisions," Agricultural Systems, Elsevier, Elsevier, vol. 118(C), pages 41-51.
    2. Salassi, Michael E. & Deliberto, Michael A. & Guidry, Kurt M., 2013. "Economically optimal crop sequences using risk-adjusted network flows: Modeling cotton crop rotations in the southeastern United States," Agricultural Systems, Elsevier, Elsevier, vol. 118(C), pages 33-40.
    3. Aurbacher, Joachim & Dabbert, Stephan, 2011. "Generating crop sequences in land-use models using maximum entropy and Markov chains," Agricultural Systems, Elsevier, Elsevier, vol. 104(6), pages 470-479, July.
    4. Pfeiffer, Lisa & Lin, C.-Y. Cynthia, 2014. "Does efficient irrigation technology lead to reduced groundwater extraction? Empirical evidence," Journal of Environmental Economics and Management, Elsevier, vol. 67(2), pages 189-208.
    5. Martin Schönhart & Erwin Schmid & Uwe A. Schneider, 2009. "CropRota – A Model to Generate Optimal Crop Rotations from Observed Land Use," Working Papers 452009, Institute for Sustainable Economic Development, Department of Economics and Social Sciences, University of Natural Resources and Life Sciences, Vienna.


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