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Modelling of the branching process of the root system of young oil palm seedlings. A Markovian approach

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Structure and Function of Roots

Part of the book series: Developments in Plant and Soil Sciences ((DPSS,volume 58))

Abstract

The root branching of oil palm, Elaeis guineensis Jacq., is modelled by a Markov chain (discrete time, discrete state space stochastic process). This study has been realized on radicles of young oil palm seedlings which are considered as a main axis which ramifies. We define an elementary length unit as the smallest length between two successive lateral roots. The model is based on the analysis of a sequence of events, each event being indexed by the rank of the elementary length unit on the main axis. An event is defined as the state of the length unit, chosen between branched and unbranched. The branching process of the oil palm radicle is modelled by a two-state first order Markov chain. Consequently, the state of the length unit of index n depends only on the state of the previous length unit. The Markov chain is homogeneous i.e. the transition probabilities do not depend on the rank of the elementary length unit.

This study allows us to identify a probabilistic model of root branching which is the first step in the elaboration of an architectural model of the oil palm root system.

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F. Baluška M. Čiamporová O. Gašparíková P. W. Barlow

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© 1995 Springer Science+Business Media Dordrecht

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Jourdan, C., Rey, H., Guedon, Y. (1995). Modelling of the branching process of the root system of young oil palm seedlings. A Markovian approach. In: Baluška, F., Čiamporová, M., Gašparíková, O., Barlow, P.W. (eds) Structure and Function of Roots. Developments in Plant and Soil Sciences, vol 58. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-3101-0_14

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  • DOI: https://doi.org/10.1007/978-94-017-3101-0_14

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4402-0

  • Online ISBN: 978-94-017-3101-0

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