Modeling spatio-temporal crop allocation patterns by a stochastic decision tree method, considering agronomic driving factors

Evaluating the environmental impacts of agricultural practices increasingly involves the use of spatially distributed simulation models that account for crop allocations across fields as an input factor. Our objective was to develop a model for spatio-temporal allocation of crops to a field pattern that was able to account for agronomic and spatial driving factors including crop production objectives, spatial distribution of the crops around farmsteads, and preferential allocation of crops on soil waterlogging classes. We developed a model based on stochastic decision trees (SDTs) to integrate farm type and field characteristics (area, distance to farmstead, waterlogging, and current crop) in the spatio-temporal allocation process without prior expert knowledge, and we compared the model to a reference model based on first-order Markov chains or transition matrices. A case study comparing both models was performed in the Naizin catchment (Western France), where crop allocation to fields was known for the period 1993-2006. The SDTs built had a general structure similar to transition matrices. SDTs and transition matrices exhibited similar performances in predicting crop transitions in time and in allocating crops to the proper soil waterlogging class. However, SDTs proved to better reproduce the spatial distribution of crops around the farmsteads. SDTs provide an integrated way to analyze and simulate crop allocation processes within a single integrated framework. The ease of constructing decision trees suggests potential couplings of SDT to various landscape-scale ecological models requiring a detailed description of the land use mosaic as input data.

[1]  Max Nielsen-Pincus,et al.  Predicting land use change: comparison of models based on landowner surveys and historical land cover trends , 2008, Landscape Ecology.

[2]  Paul M. Mather,et al.  An assessment of the effectiveness of decision tree methods for land cover classification , 2003 .

[3]  J. R. Quinlan Probabilistic decision trees , 1990 .

[4]  Toby Walsh,et al.  Stochastic Constraint Programming: A Scenario-Based Approach , 2009, Constraints.

[5]  J. Ross Quinlan,et al.  Induction of Decision Trees , 1986, Machine Learning.

[6]  Michael I. Jordan,et al.  Hidden Markov Decision Trees , 1996, NIPS.

[7]  A. Veldkamp,et al.  CLUE: a conceptual model to study the Conversion of Land Use and its Effects , 1996 .

[8]  Rick L. Lawrence,et al.  Classification of remotely sensed imagery using stochastic gradient boosting as a refinement of classification tree analysis , 2004 .

[9]  Paul Schot,et al.  Land use change modelling: current practice and research priorities , 2004 .

[10]  Kathleen P. Bell,et al.  Ecological economic modeling and valuation of ecosystems , 1995 .

[11]  K. Heidenberger Dynamic project selection and funding under risk: A decision tree based MILP approach , 1996 .

[12]  F. Wu,et al.  Simulation of Land Development through the Integration of Cellular Automata and Multicriteria Evaluation , 1998 .

[13]  Ian Witten,et al.  Data Mining , 2000 .

[14]  Marie-Odile Cordier,et al.  Improving the landcover classification using domain knowledge , 2001, AI Commun..

[15]  John R. Anderson,et al.  MACHINE LEARNING An Artificial Intelligence Approach , 2009 .

[16]  Benoit Gabrielle,et al.  Simulation of carbon and nitrogen dynamics in arable soils: a comparison of approaches , 2002 .

[17]  Marc Deconchat,et al.  Les chaînes de Markov spatialisées comme outil de simulation , 2005, Rev. Int. Géomatique.

[18]  M. K. van Ittersum,et al.  ROTAT, a tool for systematically generating crop rotations , 2003 .

[19]  Andrew Zisserman,et al.  Advances in Neural Information Processing Systems (NIPS) , 2007 .

[20]  D. O. Logofet,et al.  The mathematics of Markov models: what Markov chains can really predict in forest successions. , 2000 .

[21]  Véronique Beaujouan,et al.  A hydrological model dedicated to topography‐based simulation of nitrogen transfer and transformation: rationale and application to the geomorphology– denitrification relationship , 2002 .

[22]  Christina H. Gladwin,et al.  Ethnographic Decision Tree Modeling , 1989 .

[23]  R. O'Neill,et al.  Landscape Ecology Explained@@@Landscape Ecology in Theory and Practice: Pattern and Process , 2001 .

[24]  Ajith H. Perera,et al.  A spatially explicit stochastic model to simulate boreal forest cover transitions: general structure and properties , 2002 .

[25]  Philippe Merot,et al.  Qualité de l'eau en milieu rural : savoirs et pratiques dans les bassins versants , 2006 .

[26]  Wei-Yin Loh,et al.  Classification and regression trees , 2011, WIREs Data Mining Knowl. Discov..

[27]  Paul J. Burgess,et al.  A systematic representation of crop rotations , 2008 .

[28]  Samuel D. Fuhlendorf,et al.  Markov models of land cover dynamics in a southern Great Plains grassland region , 2007, Landscape Ecology.

[29]  Alex B. McBratney,et al.  Spatio‐Temporal Simulation of the Field‐Scale Evolution of Organic Carbon over the Landscape , 2003 .

[30]  J. Baudry,et al.  Variation of farm spatial land use pattern according to the structure of the hedgerow network (bocage) landscape: a case study in northeast Brittany , 2004 .

[31]  Jacques Baudry,et al.  Methodes d'etude des relations entre activites agricoles et paysages , 1994 .

[32]  Leo Breiman,et al.  Classification and Regression Trees , 1984 .

[33]  C. E. SHANNON,et al.  A mathematical theory of communication , 1948, MOCO.

[34]  Ian H. Witten,et al.  Data mining: practical machine learning tools and techniques, 3rd Edition , 1999 .

[35]  Isabelle Reginster,et al.  Modelling the spatial distribution of agricultural land use at the regional scale , 2003 .

[36]  Sreerama K. Murthy,et al.  Automatic Construction of Decision Trees from Data: A Multi-Disciplinary Survey , 1998, Data Mining and Knowledge Discovery.

[37]  J. Ross Quinlan,et al.  C4.5: Programs for Machine Learning , 1992 .

[38]  Timothy Evans,et al.  A Review and Assessment of Land-Use Change Models Dynamics of Space, Time, and Human Choice , 2002 .

[39]  Ajith H. Perera,et al.  Modelling land cover transitions: A solution to the problem of spatial dependence in data , 2004, Landscape Ecology.

[40]  Jian Peng,et al.  Modeling the spatial pattern of farmland using GIS and multiple logistic regression: a case study of Maotiao River Basin, Guizhou Province, China , 2007 .

[41]  Richard Aspinall,et al.  Modelling land use change with generalized linear models--a multi-model analysis of change between 1860 and 2000 in Gallatin Valley, Montana. , 2004, Journal of environmental management.

[42]  L. Hubert‐Moy,et al.  MODELING AND PROJECTING LAND-USE AND LAND-COVER CHANGES WITH A CELLULAR AUTOMATON IN CONSIDERING LANDSCAPE TRAJECTORIES: AN IMPROVEMENT FOR SIMULATION OF PLAUSIBLE FUTURE STATES , 2005 .

[43]  Pedro M. Domingos,et al.  Tree Induction for Probability-Based Ranking , 2003, Machine Learning.

[44]  Anthony Gar-On Yeh,et al.  Neural-network-based cellular automata for simulating multiple land use changes using GIS , 2002, Int. J. Geogr. Inf. Sci..

[45]  Philip K. Thornton,et al.  A conceptual approach to dynamic agricultural land-use modelling , 1998 .

[46]  Peter Zander,et al.  ROTOR, a tool for generating and evaluating crop rotations for organic farming systems , 2007 .

[47]  Alan H. Strahler,et al.  Global land cover mapping from MODIS: algorithms and early results , 2002 .

[48]  W. Baker A review of models of landscape change , 1989, Landscape Ecology.

[49]  M. Usher,et al.  Markovian approaches to ecological succession , 1979 .

[50]  D. Auclair,et al.  Neutral models for patchy landscapes , 2006 .

[51]  Gordon B. Hazen Stochastic Trees and the StoTree Modeling Environment: Models and Software for Medical Decision Analysis , 2004, Journal of Medical Systems.

[52]  Peter H. Verburg,et al.  Simulating feedbacks in land use and land cover change models , 2006, Landscape Ecology.

[53]  Robert K. Peet,et al.  Plant succession : theory and prediction , 1993 .

[54]  J. Baudry,et al.  A domain-specific language for patchy landscape modelling: The Brittany agricultural mosaic as a case study , 2006 .

[55]  Sylvain Payraudeau,et al.  Evaluation of an operational method for the estimation of emissions of nitrogen compounds for a group of farms , 2006 .

[56]  Antoine Messéan,et al.  Modelling impacts of cropping systems and climate on maize cross-pollination in agricultural landscapes : The MAPOD model , 2008 .