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Paysages virtuels et analyse de scénarios pour évaluer les impacts ...

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Stochastree, a crop transition mo<strong>de</strong>l based on stochastic<br />

<strong>de</strong>cision trees, consi<strong>de</strong>ring agronomic driving factors.<br />

Luc Sorel a,b , Christian Walter a,b *, Patrick Durand a,b , Valérie Viaud a,b ;<br />

a INRA, UMR1069, Sol Agro <strong>et</strong> hydrosystème Spatialisation, F-35000 Rennes<br />

b Agrocampus Rennes, UMR1069, Sol Agro <strong>et</strong> hydrosystème Spatialisation, F-35000 Rennes<br />

* Corresponding author: christian.walter@agrocampus-rennes.fr INRA-Agrocampus Rennes, UMR SAS, 65 rue <strong>de</strong><br />

Saint Brieuc, CS 84215, 35042 Rennes Ce<strong>de</strong>x, France (phone: 0(+33) 2-23-48-54-39 / fax: 0(+33) 2-23-48-54-30)<br />

Abbreviations: AWD, area-weighted distance; CTM, crop transition mo<strong>de</strong>l; LCM, landcover change mo<strong>de</strong>l;<br />

MCM, Markov chain mo<strong>de</strong>l; SDT, stochastic <strong>de</strong>cision tree; SRP, self-replacement probability.<br />

Keywords: crop transition, <strong>de</strong>cision tree, landcover change mo<strong>de</strong>ling, transition probability matrices,<br />

stochastic mo<strong>de</strong>ling.<br />

Abstract<br />

Evaluating the environmental <strong>impacts</strong> of agricultural practices requires the use of simulation approaches to<br />

mo<strong>de</strong>l hydrological fluxes at the landscape scale, whose response time can span over <strong>de</strong>ca<strong>de</strong>s. The crop<br />

allocation over the field pattern d<strong>et</strong>ermines the spatial distribution of fertilization practices, which are<br />

involved in soil and water quality issues. To facilitate the construction of agricultural scenarios, our objective<br />

was to <strong>de</strong>velop a crop transition mo<strong>de</strong>l able to account for agronomic and spatial driving factors: crop<br />

production objectives, spatial distribution of the crops around the farmsteads, and preferential allocation of<br />

crops on soil waterlogging classes. We <strong>de</strong>veloped an innovative mo<strong>de</strong>l based on stochastic <strong>de</strong>cision trees,<br />

Stochastree, to integrate farm-type and field characteristics (area, distance to farmstead, waterlogging,<br />

current crop) in the crop transition simulation process without prior expert knowledge, but relying on a data-<br />

mining approach. Simulation results of Stochastree were compared to field data and to a Markovian mo<strong>de</strong>l<br />

based on transition matrices, Rotomatrix, to test its abilities to follow presumed agronomic constraints.<br />

Learned <strong>de</strong>cision trees had a general structure similar to transition matrices. Stochastree and Rotomatrix<br />

exhibited similar performances in predicting crop transitions and outputting expected crop productions.<br />

Stochastree proved to be significantly superior in maintaining the spatial distribution of crops around the<br />

farmsteads and slightly b<strong>et</strong>ter in allocating crops to the proper soil waterlogging class. The ease to construct<br />

<strong>de</strong>cision trees suggests many potential couplings of Stochastree to various ecological mo<strong>de</strong>ls, like nutrient<br />

diffuse transfer mo<strong>de</strong>ls or gene transmission mo<strong>de</strong>ls.<br />

III. Stochastree, un modèle <strong>de</strong> successions <strong>de</strong> cultures basé sur <strong>de</strong>s arbres <strong>de</strong> décision stochastique – p. 71

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