A Model of Poplar (Populus sp.) Physiology and Morphology Based on Relational Growth Grammars

Functional-structural plant models (FSPMs), combining the physiological function of a plant with its architecture, require precise and transparent specifications. This can be seen as a new challenge to the design of programming languages. Here we introduce, exemplarily for a model of young poplar trees, our new formalism of relational growth grammars (RGGs), which extend the well-known Lindenmayer (L-)systems to a specific sort of node- and edge-labelled graph grammars. The model has been written in the programming language XL, which extends standard Java by rule-based programming with RGGs and overcomes many of the disadvantages of L-systems. RGGs can bridge different scales: In our model, morphogenetic rules in L-system style are combined with rules describing a regulatory network of hormone biosynthesis and rules updating photosynthate concentrations of shoot modules, all in one and the same formalism.

[1]  Ole Kniemeyer,et al.  Relational Growth Grammars - A Graph Rewriting Approach to Dynamical Systems with a Dynamical Structure , 2004, UPP.

[2]  Pascal Fradet,et al.  Unconventional Programming Paradigms, International Workshop UPP 2004, Le Mont Saint Michel, France, September 15-17, 2004, Revised Selected and Invited Papers , 2005, UPP.

[3]  Winfried Kurth,et al.  Barley morphology, genetics and hormonal regulation of internode elongation modelled by a relational growth grammar. , 2005, The New phytologist.

[4]  Winfried Kurth,et al.  A Graph Grammar Approach to Artificial Life , 2004, Artificial Life.

[5]  Jim Hanan,et al.  Proceedings of the 4th International Workshop on Functional-Structural Plant Models, Montpellier France , 2004 .

[6]  Gerhard Buck-Sorlin,et al.  GroIMP as a platform for functional-structural modelling of plants , 2007 .

[7]  Przemyslaw Prusinkiewicz,et al.  Design and Implementation of the L+C Modeling Language , 2003, RULE@RDP.

[8]  Hartmut Ehrig,et al.  Handbook of graph grammars and computing by graph transformation: vol. 3: concurrency, parallelism, and distribution , 1999 .

[9]  S. Strauss,et al.  Activation Tagging of a Dominant Gibberellin Catabolism Gene (GA 2-oxidase) from Poplar That Regulates Tree Stature1 , 2003, Plant Physiology.

[10]  Godin,et al.  A multiscale model of plant topological structures , 1998, Journal of theoretical biology.

[11]  Paul C. Struik,et al.  Functional-Structural Plant Modelling in Crop Production , 2007 .

[12]  Albert Zündorf,et al.  The PROGRES approach: language and environment , 1999 .

[13]  Przemyslaw Prusinkiewicz,et al.  The Algorithmic Beauty of Plants , 1990, The Virtual Laboratory.