Theoretical Analysis of Systematic Errors Introduced by a Pedicel-Girdling Technique used to Estimate Separately the Xylem and Phloem Flows

• Published in: Journal of theoretical biology 2001-12, Vol.213 (3), p.435-446
• Main Authors: FISHMAN, SVETLANA, GÉNARD, MICHEL, HUGUET, JEAN-GÉRARD
• Format: Article
• Language: English
• Subjects: Biological Transport; Cellular Biology; Fruit - metabolism; Life Sciences; Models, Biological; Sensitivity and Specificity; Trees - physiology; Water - metabolism
• ISSN: 0022-5193; 1095-8541
• DOI: 10.1006/jtbi.2001.2442

The water budget of fruits was analysed by means of a biophysical model of fruit growth, built and calibrated recently for peaches [Prunus persica (L.) Batsch]. This analysis was applied to the evaluation of systematic errors introduced by a pedicel-girdling method (with the observations being treated by means of a subtractive technique) used to separate the contributions of xylem and phloem flow to the total water inflow to the fruit. The flows were considered as solution transport through composite membranes and were calculated by means of equations drawn from non-equilibrium thermodynamics. The total inflow of water was simulated as dependent on the water status in the tree. The hourly time step was used for the simulation. The flows obtained by simulation of the pedicel-girdled fruit were compared with those found by simulation of the intact-pedicel fruit. The error introduced by the pedicel-girdling technique was evaluated theoretically and was shown to vary during the day, ranging from very small (relative error of 3–7%) at the period when the rate of fruit growth is maximal to 100% when the fruit volume does not change. The vascular flows obtained from the “girdling experiments” are discussed in relation to the possible theoretically estimated errors.