IDEAS home Printed from https://ideas.repec.org/a/eee/agisys/v97y2008i1-2p26-33.html
   My bibliography  Save this article

A systematic representation of crop rotations

Author

Listed:
  • Castellazzi, M.S.
  • Wood, G.A.
  • Burgess, P.J.
  • Morris, J.
  • Conrad, K.F.
  • Perry, J.N.

Abstract

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.

Suggested Citation

  • Castellazzi, M.S. & Wood, G.A. & Burgess, P.J. & Morris, J. & Conrad, K.F. & Perry, J.N., 2008. "A systematic representation of crop rotations," Agricultural Systems, Elsevier, vol. 97(1-2), pages 26-33, April.
    • Handle: RePEc:eee:agisys:v:97:y:2008:i:1-2:p:26-33
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0308-521X(07)00109-6
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Liam Brunt, 1999. "An Arbitrage Model in Crop Rotation in 18th Century England," Oxford Economic and Social History Working Papers _032, University of Oxford, Department of Economics.
    2. Liam Brunt, 1999. "An Arbitrage Model in Crop Rotation in 18th Century England," Economics Series Working Papers 1999-W32, University of Oxford, Department of Economics.
    3. 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, vol. 87(1), pages 18-37, January.
    4. Haneveld, W. K. Klein & Stegeman, A. W., 2005. "Crop succession requirements in agricultural production planning," European Journal of Operational Research, Elsevier, vol. 166(2), pages 406-429, October.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Studer, Roman, 2008. "India and the Great Divergence: Assessing the Efficiency of Grain Markets in Eighteenth- and Nineteenth-Century India," The Journal of Economic History, Cambridge University Press, vol. 68(2), pages 393-437, June.
    2. Walter  Eltis, 2001. "Lord Overstone and the Establishment of British Nineteenth-Century Monetary Orthodoxy," Oxford Economic and Social History Working Papers _042, University of Oxford, Department of Economics.
    3. Jacob Weisdorf & Paul Sharp, 2009. "From preventive to permissive checks: the changing nature of the Malthusian relationship between nuptiality and the price of provisions in the nineteenth century," Cliometrica, Journal of Historical Economics and Econometric History, Association Française de Cliométrie (AFC), vol. 3(1), pages 55-70, January.
    4. Regina Grafe & Camilla Brautaset, 2006. "The Quiet Transport Revolution: Returns to Scale, Scope and Network Density in Norway`s Nineteenth-Century Sailing Fleet," Oxford Economic and Social History Working Papers _062, University of Oxford, Department of Economics.
    5. Robert Dryburgh, 2003. "Individual, Illegal, and Unjust Purposes`: Overseers, Incentives, and the Old Poor Law in Bolton, 1820-1837," Oxford Economic and Social History Working Papers _050, University of Oxford, Department of Economics.
    6. Deininger,Klaus W. & Ali,Daniel Ayalew & Kussul,Nataliia & Lavreniuk,Mykola & Nivievskyi,Oleg, 2020. "Using Machine Learning to Assess Yield Impacts of Crop Rotation : Combining Satellite and Statistical Data for Ukraine," Policy Research Working Paper Series 9306, The World Bank.
    7. repec:hal:spmain:info:hdl:2441/2241 is not listed on IDEAS
    8. Jane Humphries & Tim Leunig, 2007. "Cities, Market Integration and Going to Sea: Stunting and the Standard of Living in Early Nineteenth-Century England and Wales," Oxford Economic and Social History Working Papers _066, University of Oxford, Department of Economics.
    9. Asadullah, Mohammad Niaz, 2010. "Educational Disparity in East and West Pakistan, 1947-71: Was East Pakistan Discriminated Against?," Bangladesh Development Studies, Bangladesh Institute of Development Studies (BIDS), vol. 33(3), pages 1-46, September.
    10. Daudin, Guillaume, 2010. "Domestic Trade and Market Size in Late-Eighteenth-Century France," The Journal of Economic History, Cambridge University Press, vol. 70(3), pages 716-743, September.
    11. Alexandre Debs, 2003. "The Source of Walras`s Idealist Bias: A Review of Koppl`s Solution to the Walras Paradox," Oxford Economic and Social History Working Papers _049, University of Oxford, Department of Economics.
    12. Natalia Mora-Sitja, 2006. "Exploring Changes in Earnings Inequality during Industrialization: Barcelona, 1856-1905," Oxford Economic and Social History Working Papers _061, University of Oxford, Department of Economics.
    13. Regina Grafe, 2004. "Popish habits vs. nutritional need: Fasting and fish consumption in Iberia in the early modern period," Oxford Economic and Social History Working Papers _055, University of Oxford, Department of Economics.
    14. Alasdair  Crockett, 2000. "Variations in Churchgoing Rates in England in 1851: Supply-side Deficiency or Demand-led Decline?," Oxford Economic and Social History Working Papers _036, University of Oxford, Department of Economics.
    15. Richard H. Steckel, 2005. "Fluctuations in a Dreadful Childhood: Synthetic Longitudinal Height Data, Relative Prices, and Weather in the Short-Term Health of American Slaves," Oxford Economic and Social History Working Papers _058, University of Oxford, Department of Economics.
    16. Liam Brunt, 2000. "Where theres Muck theres Brass The Market for Manure in the Industrial Revolution," Oxford Economic and Social History Working Papers _035, University of Oxford, Department of Economics.
    17. Lu, H.W. & Huang, G.H. & Zhang, Y.M. & He, L., 2012. "Strategic agricultural land-use planning in response to water-supplier variation in a China’s rural region," Agricultural Systems, Elsevier, vol. 108(C), pages 19-28.
    18. 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, vol. 118(C), pages 41-51.
    19. L. Alfandari & J. Lemalade & A. Nagih & G. Plateau, 2011. "A MIP flow model for crop-rotation planning in a context of forest sustainable development," Annals of Operations Research, Springer, vol. 190(1), pages 149-164, October.
    20. 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, vol. 118(C), pages 33-40.
    21. Ahmed El-Geneidy & David Levinson, 2011. "Place Rank: Valuing Spatial Interactions," Networks and Spatial Economics, Springer, vol. 11(4), pages 643-659, December.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:agisys:v:97:y:2008:i:1-2:p:26-33. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/agsy .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.