Table 7 Matrix Π of the variance decomposition and conditioning indices for Mitscherlich model and thinned model: Collinear parameters were identified in the variance decomposition matrix Π deduced from the correlation matrix of \(\tilde {X}\) (Belsley et al. 1980), whose lines correspond to conditioning indices, and columns correspond to parameters
Conditioning | Variance proportion | ||
|---|---|---|---|
Mitscherlich model | |||
Indices | \(\phantom {\dot {i}\!}S_{Y_{max_{th_{m}}}}\) | \(\phantom {\dot {i}\!}S_{\omega _{yth_{m}}}\) | \(\phantom {\dot {i}\!}S_{\gamma _{yth_{m}}}\) |
η1=1 | 0 | 0 | 0 |
η2=10.89 | 0.031 | 0 | 0.008 |
η3=151.35 | 0.97 | 1 | 0.99 |
Thinned model | |||
Indices | \(\phantom {\dot {i}\!}S_{Y_{max_{{th}}}}\) | \(\phantom {\dot {i}\!}S_{\omega _{{yth}}}\) | \(\phantom {\dot {i}\!}S_{\gamma _{{yth}}}\) |
η1=1 | 0.001 | 0.011 | 0.001 |
η2=3.44 | 0.013 | 0.296 | 0.002 |
η3=25.42 | 0.99 | 0.69 | 0.99 |