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Modeling the Time Dependence of Nitrogen Uptake in Young Trees
Author(s) -
Wallach D.,
Loisel P.,
Goffinet B.,
Habib R.
Publication year - 1990
Publication title -
agronomy journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.752
H-Index - 131
eISSN - 1435-0645
pISSN - 0002-1962
DOI - 10.2134/agronj1990.00021962008200060023x
Subject(s) - mathematics , statistics , function (biology) , tree (set theory) , sampling (signal processing) , botany , biology , combinatorics , computer science , filter (signal processing) , evolutionary biology , computer vision
In order to develop improved fertilization strategies for fruit trees, it is necessary to have a quantitative understanding of the dynamics of N uptake. This study was conducted to select a mathematical model for describing N uptake in young peach trees ( Prunus persica (L.) Batsch). In 1985 young peach trees were grown outdoors in Avignon, France, in sand‐filled containers from late February to late September. At each of nine dates total tree N was measured by destructive sampling of three trees. The differences in total N between dates are related to N uptake. The models considered all take the form of a Michaelis‐Menten equation, with maximum uptake expressed as the product of total root weight and uptake efficiency. The models differ in that they express the efficiency factor as different order polynomial functions of time. The criterion used for selecting a best model was related to the squared error of prediction integrated over time. The value of the criterion was estimated for each model, and it was found that the model that expressed efficiency as a third‐order polynomial function of time had the smallest value of the criterion, and was therefore the model of choice. According to this model, N uptake efficiency increased from near zero in mid‐April to a maximum of 3.1 μ g N/g root/d in late May, and then decreased again to near zero in late September.