A simulation model of growth at the shoot-bearing fruit level: I. Description and parameterization for peach

Abstract A simulation model of daily C assimilation and allocation in an isolated shoot-bearing fruit is presented. The system is divided into three compartments: fruits, one-year-old stem, and leafy shoots. The pool of C assimilates available daily for distribution is the daily assimilation of C, plus that mobilized from reserves if the demand of sink organs exceeds the product of photosynthesis. Equations of leaf photosynthesis incorporate a feedback inhibition through the leaf storage reserves, and the effect of light extinction caused by foliage. Carbon assimilation of fruits is considered. The mobilization of reserves first concerns the leafy shoot, and then the one-year-old stem to a lesser extent. The model simulates carbon partitioning based on organ demands and priority rules. Maintenance respiration costs, which are calculated on the basis of the Q 10 concept, have first priority. Vegetative and reproductive growth are given second and third priority. Daily carbon demands for the vegetative and reproductive organs are based on an analytical formulation of the potential growth rate at any time. The accumulation or replenishing of reserves, first in the leafy shoot compartment and then, in the case of saturation, in the one-year-old stem compartment, is given last priority. A parameterization of the model is presented for peach, with several values for cultivar-dependent and location-dependent parameters (two cultivars and locations considered). The input data required by the model are described. Finally, some simulations concerning a sensitivity analysis are presented to illustrate the model behaviour.

[1]  L C Ho,et al.  Metabolism and Compartmentation of Imported Sugars in Sink Organs in Relation to Sink Strength , 1988 .

[2]  C. Foyer FEEDBACK INHIBITION OF PHOTOSYNTHESIS THROUGH SOURCE-SINK REGULATION IN LEAVES , 1988 .

[3]  M. Génard,et al.  POLLINATION AND FRUIT GROWTH MODELS FOR STUDYING THE MANAGEMENT OF KIWIFRUIT ORCHARDS. I. MODELS DESCRIPTION , 1998 .

[4]  M. Génard,et al.  Pmax as related to leaf: fruit ratio and fruit assimilate demand in peach , 1996 .

[5]  H. Berge,et al.  Simulation of Ecophysiological Processes of Growth in Several Annual Crops , 1989 .

[6]  Andrew Paul Gutierrez,et al.  A demographic model of assimilation and allocation of carbon and nitrogen in grapevines , 1991 .

[7]  J. Lebreton,et al.  Breeding avifauna of a Mediterranean succession: the holm oak and cork oak series in the eastern Pyrenees, 1. Analysis and modelling of the structure gradient. , 1981 .

[8]  M. Génard,et al.  Multivariate analysis of within-tree factors accounting for the variation of peach fruit quality , 1992 .

[9]  M. Steven,et al.  Gap frequency and canopy architecture of sugar beet and wheat crops , 1993 .

[10]  Y. L. Grossman,et al.  Carbohydrate requirements for dark respiration by peach vegetative organs. , 1994, Tree physiology.

[11]  P. H. Jerie,et al.  Gradients in Maturity and Sugar Levels of Fruit Within Peach Trees , 1988, Journal of the American Society for Horticultural Science.

[12]  Y. L. Grossman,et al.  Maximum Fruit Growth Potential Following Resource Limitation During Peach Growth , 1995 .

[13]  C. Doyle,et al.  Modelling the economic consequences of potential management changes in a mature kiwifruit orchard in New Zealand , 1989 .

[14]  T. Dejong,et al.  Estimating the photosynthetic contribution of developing peach {Prunus persica) fruits to their growth and maintenance carbohydrate requirements , 1993 .

[15]  Y. L. Grossman,et al.  PEACH: A simulation model of reproductive and vegetative growth in peach trees. , 1994, Tree physiology.

[16]  F.W.T. Penning de Vries,et al.  Simulation of plant growth and crop production. , 1983 .

[17]  Thomas M. Hinckley,et al.  THE THEORY AND PRACTICE OF BRANCH AUTONOMY , 1991 .

[18]  Leo F. M. Marcelis,et al.  Effect of assimilate supply on the growth of individual cucumber fruits , 1993 .

[19]  R. Bendel,et al.  Comparative gas exchange characteristics of potted, glasshouse-grown almond, apple, fig, grape, olive, peach and Asian pear , 1992 .

[20]  J. Goudriaan,et al.  Modeling Peach Fruit Growth and Carbohydrate Requirements: Reevaluation of the Double-sigmoid Growth Pattern , 1989, Journal of the American Society for Horticultural Science.

[21]  M. Génard,et al.  Variabilité de la croissance et de la qualité chez la pêche (Prunus persica L Batsch) et liaison entre croissance et qualité , 1991 .

[22]  T. Dejong,et al.  Seasonal patterns of nonstructural carbohydrates of apple (Malus pumila Mill.) fruits: Relationship with relative growth rates and contribution to solute potential , 1995 .

[23]  M. Génard,et al.  A simulation model of growth at the shoot-bearing fruit level. II. Test and effect of source and sink factors in the case of peach. , 1998 .

[24]  M. Génard,et al.  Modeling the peach sugar contents in relation to fruit growth , 1996 .

[25]  J. G. Buwalda,et al.  A mathematical model of carbon acquisition and utilisation by kiwifruit vines , 1991 .

[26]  J. Trout,et al.  Sampling procedures for minimizing variation in peach fruit quality , 1984 .

[27]  T. Dejong,et al.  Seasonal patterns of reproductive and vegetative sink activity in early and late maturing peach (Prunus persica) cultivars , 1987 .

[28]  T. Dejong,et al.  Seasonal CO2 exchange patterns of developing peach (Prunus persica) fruits in response to temperature, light and CO2 concentration , 1993 .

[29]  A. Hall,et al.  STOCHASTIC MODELS FOR FRUIT GROWTH , 1996 .

[30]  John D. Hesketh,et al.  Predicting Photosynthesis For Ecosystem Models , 1980 .

[31]  L. Marcelis,et al.  Sink strength as a determinant of dry matter partitioning in the whole plant. , 1996, Journal of experimental botany.

[32]  F.W.T. Penning de Vries,et al.  Simulation of growth processes and the model BACROS , 1982 .

[33]  Leo F. M. Marcelis,et al.  SIMULATION OF BIOMASS ALLOCATION IN GREENHOUSE CROPS - A REVIEW , 1993 .

[34]  D. Johnson Effect of flower and fruit thinning on the maturity of ‘Cox’s Orange Pippin’ apples at harvest , 1995 .

[35]  M. Abdel-Razik,et al.  A model of the productivity of olive trees under optional water and nutrient supply in desert conditions , 1989 .

[36]  F. Baret,et al.  Spatial and Temporal Variation of Light inside Peach Trees , 1994 .

[37]  R. Huggett Mathematical models in agriculture: France, J. and Thornley, J.H.M. London: Butterworths, 1984. 335 pp. £35 hardback , 1985 .