M. Huhn, A GENERAL-APPROACH TO DETERMINE THE EFFECT OF ACCURACY OF SOWING TECHNIQUE ON YIELD PER AREA, Journal of agronomy and crop science, 181(4), 1998, pp. 249-255
Caused by nonperfect seed placement accuracy of sowing machines as wel
l as by many other abiotic and biotic factors the resulting plant stan
ds exhibit nonregular plant distributions. Based on several simplifyin
g assumptions a stochastic approach provides a quantitative determinat
ion of the effects of accuracy of sowing technique on yield per area.
In this approach, two random variables are assigned to each individual
plant: single plant yield E and single plant area A, which is calcula
ted in this paper by the construction and quadrature of the so-called
Thiessen-polygons. The yield per area F is calculated as the expectati
on of the ratio E/A. By assuming a deterministic mathematical relation
ship between E and A, the calculation of F reduces to the calculation
of the expectation of a function of only one random variable A. A simp
le approximation with sufficient accuracy for many applications only d
epends on the mean and on the variance of the areas of the individual
plants. For demonstration purposes, the theoretical approaches and res
ults have been finally applied to three data sets for drilled seeds of
winter oilseed rape (plant density: 60 plants/m(2) and distance betwe
en rows: 10 cm). These data sets exhibit different accuracies of the l
ongitudinal distributions within rows which have been quantitatively m
easured by the coefficient of variation for the distances between plan
ts within rows: Yield depression increases with an increasing variabil
ity of plant distances within rows.