Simplification of a light-based model for estimating final internode length in greenhouse cucumber canopies.

BACKGROUND AND AIMS Light quantity and quality affect internode lengths in cucumber (Cucumis sativus), whereby leaf area and the optical properties of the leaves mainly control light quality within a cucumber plant community. This modelling study aimed at providing a simple, non-destructive method to predict final internode lengths (FILs) using light quantity and leaf area data. METHODS Several simplifications of a light quantity and quality sensitive model for estimating FILs in cucumber have been tested. The direct simplifications substitute the term for the red : far-red (R : FR) ratios, by a term for (a) the leaf area index (LAI, m(2) m(-2)) or (b) partial LAI, the cumulative leaf area per m(2) ground, where leaf area per m(2) ground is accumulated from the top of each plant until a number, n, of leaves per plant is reached. The indirect simplifications estimate the input R : FR ratio based on partial leaf area and plant density. KEY RESULTS In all models, simulated FILs were in line with the measured FILs over various canopy architectures and light conditions, but the prediction quality varied. The indirect simplification based on leaf area of ten leaves revealed the best fit with measured data. Its prediction quality was even higher than of the original model. CONCLUSIONS This study showed that for vertically trained cucumber plants, leaf area data can substitute local light quality data for estimating FIL data. In unstressed canopies, leaf area over the upper ten ranks seems to represent the feedback of the growing architecture on internode elongation with respect to light quality. This highlights the role of this domain of leaves as the primary source for the specific R : FR signal controlling the final length of an internode and could therefore guide future research on up-scaling local processes to the crop level.

[1]  Hartmut Stützel,et al.  Modelling photo-modulated internode elongation in growing glasshouse cucumber canopies. , 2011, The New phytologist.

[2]  Jim Hanan,et al.  Foreword: Studying plants with functional-structural models. , 2008, Functional plant biology : FPB.

[3]  Hartmut Stützel,et al.  Modelling leaf phototropism in a cucumber canopy. , 2008, Functional plant biology : FPB.

[4]  Przemyslaw Prusinkiewicz,et al.  Proceedings of the 4th International Workshop on Functional-Structural Plant Models , 2004 .

[5]  Katrin Kahlen,et al.  Towards functional-structural modelling of greenhouse cucumber , 2007 .

[6]  Jorge J Casal,et al.  Shade Avoidance , 2012, The arabidopsis book.

[7]  B. Andrieu,et al.  Dynamics of the Elongation of Internodes in Maize ( Zea mays L.): Analysis of Phases of Elongation and their Relationships to Phytomer Development , 2000 .

[8]  Xiaopeng Zhang,et al.  Plant growth modelling and applications: the increasing importance of plant architecture in growth models. , 2007, Annals of botany.

[9]  H. Stützel,et al.  Estimation of Geometric Attributes and Masses of Individual Cucumber Organs Using Three-dimensional Digitizing and Allometric Relationships , 2007 .

[10]  C. Ballaré,et al.  RESPONSES OF LIGHT‐GROWN WILD‐TYPE and LONG‐HYPOCOTYL MUTANT CUCUMBER SEEDLINGS TO NATURAL and SIMULATED SHADE LIGHT * , 1991 .

[11]  J. Harbinson,et al.  The responses of light interception, photosynthesis and fruit yield of cucumber to LED-lighting within the canopy. , 2010, Physiologia plantarum.

[12]  Bruno Moulia,et al.  Quantitative contributions of blue light and PAR to the photocontrol of plant morphogenesis in Trifolium repens (L.). , 2006, Journal of experimental botany.

[13]  F. Tardieu,et al.  Multi-scale phenotyping of leaf expansion in response to environmental changes: the whole is more than the sum of parts. , 2009, Plant, cell & environment.

[14]  E Costes,et al.  Shaping the shoot: the relative contribution of cell number and cell shape to variations in internode length between parent and hybrid apple trees. , 2008, Journal of experimental botany.

[15]  B. Andrieu,et al.  Functional-structural plant modelling: a new versatile tool in crop science. , 2010, Journal of experimental botany.

[16]  P. Barnes,et al.  Growth and morphological responses to different UV wavebands in cucumber (Cucumis sativum) and other dicotyledonous seedlings. , 2004, Physiologia plantarum.

[17]  M. Salam,et al.  Comparing Simulated and Measured Values Using Mean Squared Deviation and its Components , 2000 .

[18]  C. Ballaré Illuminated behaviour: phytochrome as a key regulator of light foraging and plant anti-herbivore defence. , 2009, Plant, cell & environment.

[19]  Ana L. Scopel,et al.  Far-Red Radiation Reflected from Adjacent Leaves: An Early Signal of Competition in Plant Canopies , 1990, Science.

[20]  H. Stützel,et al.  Evaluation of a radiosity based light model for greenhouse cucumber canopies , 2011 .

[21]  R. Pierik,et al.  Reaching out of the shade. , 2005, Current opinion in plant biology.

[22]  Hugh G. Gauch,et al.  Model Evaluation by Comparison of Model-Based Predictions and Measured Values , 2003 .

[23]  C. Ballaré,et al.  Photocontrol of stem elongation in plant neighbourhoods: effects of photon fluence rate under natural conditions of radiation , 1991 .

[24]  Przemyslaw Prusinkiewicz,et al.  Quasi-Monte Carlo simulation of the light environment of plants. , 2008, Functional plant biology : FPB.

[25]  Francois Tardieu,et al.  Why work and discuss the basic principles of plant modelling 50 years after the first plant models? , 2010, Journal of experimental botany.

[26]  R. Emery,et al.  Uncoupling light quality from light irradiance effects in Helianthus annuus shoots: putative roles for plant hormones in leaf and internode growth. , 2007, Journal of experimental botany.

[27]  E. Reekie,et al.  Effects of elevated CO2 on intra-specific competition in Sinapis alba: an examination of the role of growth responses to red:far-red ratio. , 2008, Plant biology.

[28]  E. Heuvelink,et al.  Effect of day and night temperature on internode and stem length in chrysanthemum: is everything explained by DIF? , 2002, Annals of botany.

[29]  G. L. Wilson Studies on the Expansion of the Leaf Surface: V. CELL DIVISION AND EXPANSION IN A DEVELOPING LEAF AS INFLUENCED BY LIGHT AND UPPER LEAVES , 1966 .

[30]  Keara A Franklin,et al.  Phytochromes and shade-avoidance responses in plants. , 2005, Annals of botany.

[31]  P. Barnes,et al.  Comparative Photobiology of Growth Responses to Two UV-B Wavebands and UV-C in Dim-red-light- and White-light-grown Cucumber (Cucumis sativus) Seedlings: Physiological Evidence for Photoreactivation† , 2005, Photochemistry and photobiology.

[32]  P. Prusinkiewicz,et al.  Virtual plants: new perspectives for ecologists, pathologists and agricultural scientists , 1996 .

[33]  G. Patil,et al.  Effect of DIF and end-of-day light quality on stem elongation in Cucumis sativus , 2002 .

[34]  B. Andrieu,et al.  Simulation of the three-dimensional distribution of the red:far-red ratio within crop canopies. , 2007, The New phytologist.

[35]  G. Patil,et al.  Involvement of phytochrome B in DIF mediated growth in cucumber , 2009 .

[36]  E. Costes,et al.  Modelling of the airborne dispersal of a pathogen over a structured vegetal cover , 2010 .