ALAMEDA, a structural-functional model for faba bean crops: morphological parameterization and verification.

BACKGROUND Plant structural (i.e. architectural) models explicitly describe plant morphology by providing detailed descriptions of the display of leaf and stem surfaces within heterogeneous canopies and thus provide the opportunity for modelling the functioning of plant organs in their microenvironments. The outcome is a class of structural-functional crop models that combines advantages of current structural and process approaches to crop modelling. ALAMEDA is such a model. METHODS The formalism of Lindenmayer systems (L-systems) was chosen for the development of a structural model of the faba bean canopy, providing both numerical and dynamic graphical outputs. It was parameterized according to the results obtained through detailed morphological and phenological descriptions that capture the detailed geometry and topology of the crop. The analysis distinguishes between relationships of general application for all sowing dates and stem ranks and others valid only for all stems of a single crop cycle. RESULTS AND CONCLUSIONS The results reveal that in faba bean, structural parameterization valid for the entire plant may be drawn from a single stem. ALAMEDA was formed by linking the structural model to the growth model 'Simulation d'Allongement des Feuilles' (SAF) with the ability to simulate approx. 3500 crop organs and components of a group of nine plants. Model performance was verified for organ length, plant height and leaf area. The L-system formalism was able to capture the complex architecture of canopy leaf area of this indeterminate crop and, with the growth relationships, generate a 3D dynamic crop simulation. Future development and improvement of the model are discussed.

[1]  Christophe Godin,et al.  Functional-structural plant modelling. , 2005, The New phytologist.

[2]  Marie-Helene Jeuffroy,et al.  Architectural analysis of herbaceous crop species: a comparative study of maize (Zea mays L.) and garden pea (Pisum sativum L.) , 1999 .

[3]  E. Ridao,et al.  Radiation interception and use, and spectral reflectance of contrasting canopies of autumn sown faba beans and semi-leafless peas , 1996 .

[4]  M. Dennett,et al.  Use of the Expolinear Growth Model to Analyse the Growth of Faba bean, Peas and Lentils at Three Densities: Predictive Use of the Model , 1998 .

[5]  J. Hanan,et al.  Rice morphogenesis and plant architecture: measurement, specification and the reconstruction of structural development by 3D architectural modelling. , 2005, Annals of botany.

[6]  J. Duke Handbook of LEGUMES of World Economic Importance , 1982, Springer US.

[7]  Philippe de Reffye,et al.  A functional model of tree growth and tree architecture , 1997 .

[8]  H. Sinoquet,et al.  Characterization of the Light Environment in Canopies Using 3D Digitising and Image Processing , 1998 .

[9]  C. Daughtry,et al.  Soybean growth and development visualized with L-systems simulations: effect of temperature , 2004 .

[10]  P. Prusinkiewicz,et al.  Modeling the architecture of expanding Fraxinus pennsylvanica shoots using L-systems , 1994 .

[11]  A. Lindenmayer Mathematical models for cellular interactions in development. I. Filaments with one-sided inputs. , 1968, Journal of theoretical biology.

[12]  Andrew D. Moore,et al.  Simulating fababean development, growth, and yield in Australia , 2003 .

[13]  Bruno Andrieu,et al.  Modelling kinetics of plant canopy architecture¿concepts and applications , 2003 .

[14]  B. Andrieu,et al.  A functional-structural model of elongation of the grass leaf and its relationships with the phyllochron. , 2005, The New phytologist.

[15]  J. Sauerborn,et al.  Simulation of faba bean (Vicia faba L.) root system development under Mediterranean conditions , 1998 .

[16]  B. Andrieu,et al.  A 3D Architectural and Process-based Model of Maize Development , 1998 .

[17]  Przemyslaw Prusinkiewicz Visual models of morphogenesis , 1993 .

[18]  Ana M. Tarquis,et al.  Faba bean canopy modelling with a parametric open L-system: a comparison with the Monsi and Saeki model , 1998 .

[19]  M. Dennett,et al.  Use of the Expolinear Growth Model to Analyse the Growth of Faba bean, Peas and Lentils at Three Densities: Fitting the Model , 1998 .

[20]  J. Sauerborn,et al.  Simulation of faba bean (Vicia faba L.) growth and development under Mediterranean conditions : Model adaptation and evaluation , 1998 .

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

[22]  R. F. Lyndon The shoot apical meristem , 1998 .

[23]  F. Gastal,et al.  Grass Leaf Elongation Rate as a Function of Developmental Stage and Temperature: Morphological Analysis and Modelling , 1999 .

[24]  R. Burton The mathematical treatment of leaf venation: the variation in secondary vein length along the midrib. , 2004, Annals of botany.

[25]  Jim Hanan,et al.  Using the canonical modelling approach to simplify the simulation of function in functional-structural plant models. , 2005, The New phytologist.

[26]  P. Prusinkiewicz Modeling plant growth and development. , 2004, Current opinion in plant biology.

[27]  Jim Hanan,et al.  Linking physiological and architectural models of cotton , 2003 .

[28]  Kenneth J. Boote,et al.  Adapting the CROPGRO Legume Model to Simulate Growth of Faba Bean , 2002 .

[29]  M. Jeuffroy,et al.  A Model to Simulate the Final Number of Reproductive Nodes in Pea (Pisum sativumL.) , 1998 .

[30]  G. Hawtin,et al.  Faba bean (Vicia faba L.) , 1985 .

[31]  Bruno Andrieu,et al.  The nested radiosity model for the distribution of light within plant canopies , 1998 .

[32]  E. Fereres,et al.  A dynamic model of crop growth and partitioning of biomass , 1999 .

[33]  A. Lindenmayer Mathematical models for cellular interactions in development. II. Simple and branching filaments with two-sided inputs. , 1968, Journal of theoretical biology.

[34]  P. Hebblethwaite The faba bean (Vicia faba L.). , 1983 .