Table 1 Characteristic parameters related to seed filling in maize
From: Genetic and genomic analysis of the seed-filling process in maize based on a logistic model
Parameter symbol | Biological significance | Formula |
|---|---|---|
k | Final seed dry weight (g) | |
b | Relative filling rate | |
lna/b | Time for median final dry weight (DAP) | |
t1 | Time for first inflexion of filling rate (DAP) | \(t_{\it{1}} = - \frac{{{\it{ln}}\left( {\frac{{2 + \sqrt 3 }}{a}} \right)}}{b}\) |
t2 | Time for second inflexion of filling rate (DAP) | \(t_{\it{2}} = - \frac{{{\it{ln}}\left( {\frac{{2 - \sqrt 3 }}{a}} \right)}}{b}\) |
t3 | Filling duration (DAP) | \(t_{\it{3}} = \frac{{{\it{ln}}(99a)}}{b}\) |
w1 | Accumulation during gradual growth period (g) | \(w_{\it{1}} = \frac{k}{{3 + \sqrt 3 }}\) |
w2 | Accumulation during fast growth period (g) | \(w_{\it{2}} = \frac{{\sqrt 3 }}{3}k\) |
w3 | Accumulation during slow growth period (g) | \(w_{\it{3}} = \left( {\frac{{49}}{{100}} - \frac{{\sqrt 3 }}{6}} \right)k\) |
\(\bar v\) | Average filling rate (g/DAP) | \(\bar v = \frac{{kb}}{6}\) |
T | Active filling period (DAP) | \(T = \frac{6}{b}\) |
vmax | Maximum filling rate (g/DAP) | \(v_{max} = \frac{{kb}}{4}\) |
