Table 4 Models and p-values of the permutation test based on LRT statistics
Model | Cumulated phyllochron parameters | Instant phyllochron parameters | Model name | ||
|---|---|---|---|---|---|
(A) Models for genotypic groups effects (C: cumulated phyllochron, I: instant phyllochron) | |||||
\(M_{00}\) | \(\forall (l,s,g), \quad (\mu ^{C(f_{\text{min}}^0)}_{y,lsg},\sigma ^{C(f_{\text{min}}^0)}_ {y,lsg}) = (\mu ^{C(f_{\text{min}}^0)}_y,\sigma ^{C(f_{\text{min}}^0)}_y)\) | \(\forall (l,s,g), \quad (\mu _{y,lsg},\sigma _ {y,lsg}) = (\mu_y , \sigma_y )\) | (\(\hbox {C}+\hbox {I}\))[identical] | ||
\(M_{10}\) | \(\forall (s,g), \quad (\mu ^{C(f_{\text{min}}^0)}_{y,lsg},\sigma ^{C(f_{\text{min}}^0)}_ {y,lsg}) = (\mu ^{C(f_{\text{min}}^0)}_{y,l} ,\sigma ^{C(f_{\text{min}}^0)}_{y,l})\) | \(\forall (l, s,g), \quad (\mu _{y,lsg},\sigma _ {y,lsg}) = (\mu_y ,\sigma_y )\) | C[line]-I[identical] | ||
\(M_{11}\) | \(\forall (s,g), \quad (\mu ^{C(f_{\text{min}}^0)}_{y,lsg},\sigma ^{C(f_{\text{min}}^0)}_ {y,lsg}) = (\mu ^{C(f_{\text{min}}^0)}_{y,l},\sigma ^{C(f_{\text{min}}^0)}_ {y,l})\) | \(\forall (s,g), \quad (\mu _{y,lsg},\sigma _ {y,lsg}) =(\mu _{y,l},\sigma _ {y,l})\) | (\(\hbox {C}+\hbox {I}\))[line] | ||
\(M_{21}\) | \(\forall g, \quad (\mu ^{C(f_{\text{min}}^0)}_{y,lsg},\sigma ^{C(f_{\text{min}}^0)}_ {y,lsg}) = (\mu ^{C(f_{\text{min}}^0)}_{y,ls},\sigma ^{C(f_{\text{min}}^0)}_ {y,ls})\) | \(\forall (s,g), \quad (\mu _{y,lsg},\sigma _ {y,lsg})=(\mu _{y,l},\sigma _ {y,l})\) | C[selection]-I[line] | ||
\(M_{22}\) | \(\forall g, \quad (\mu ^{C(f_{\text{min}}^0)}_{y,lsg},\sigma ^{C(f_{\text{min}}^0)}_ {y,lsg}) = (\mu ^{C(f_{\text{min}}^0)}_{y,ls},\sigma ^{C(f_{\text{min}}^0)}_ {y,ls})\) | \(\forall g, \quad (\mu _{y,lsg},\sigma _ {y,lsg}) =(\mu _{y,ls},\sigma _ {y,ls})\) | (\(\hbox {C}+\hbox {I}\))[selection] | ||
\(M_{32}\) | \(\quad (\mu ^{C(f_{\text{min}}^0)}_{y,lsg},\sigma ^{C(f_{\text{min}}^0)}_ {y,lsg})= (\mu ^{C(f_{\text{min}}^0)}_{y,lsg},\sigma ^{C(f_{\text{min}}^0)}_ {y,lsg})\) | \(\forall g, \quad (\mu _{y,lsg},\sigma _ {y,lsg}) = (\mu _{y,ls},\sigma _ {y,ls})\) | C[genotype]-I[selection] | ||
\(M_{33}\) | \((\mu ^{C(f_{\text{min}}^0)}_{y,lsg},\sigma ^{C(f_{\text{min}}^0)}_ {y,lsg}) = (\mu ^{C(f_{\text{min}}^0)}_{y,lsg},\sigma ^{C(f_{\text{min}}^0)}_ {y,lsg})\) | \((\mu _{y,lsg},\sigma _ {y,lsg}) = (\mu _{y,lsg},\sigma _ {y,lsg})\) | (\(\hbox {C}+\hbox {I}\))[genotype] | ||
\(M_{11}\)/\(M_{00}\) | \(M_{11}\)/\(M_{10}\) | \(M_{10}\)/\(M_{00}\) | Nb of perm | Best | |
|---|---|---|---|---|---|
Line effect on (\(\hbox {C}+\hbox {I}\)) | Line effect on I | Line effect on C | Nb of perm | ||
(B) Ancestral line effect | |||||
2014 | 0.000 | 0.0100 | 0.01 | 200 | \(\hbox {C}+\hbox {I}\) |
2015 | 0.000 | 0.0000 | 0.0050 | 200 | \(\hbox {C}+\hbox {I}\) |
\(M_{22}\)/\(M_{11}\) | \(M_{22}\)/\(M_{21}\) | \(M_{21}\)/\(M_{11}\) | Nb of perm | Best | |
|---|---|---|---|---|---|
Selection effect on (\(\hbox {C}+\hbox {I}\)) | Selection effect on I | Selection effect on C | Nb of perm | ||
(C) Selection effect | |||||
2014.F | 0.043 | 0.0095 | 0.49 | 200 | I |
2014.M | 0.540 | 0.4900 | 0.49 | 70 | ns |
2015.F | 0.210 | 0.1400 | 1.0000 | 200 | ns |
2015.M | 0.380 | 0.6700 | 0.1800 | 200 | ns |
\(M_{33}\)/\(M_{22}\) | \(M_{33}\)/\(M_{32}\) | \(M_{32}\)/\(M_{22}\) | Nb of perm | Best | |
|---|---|---|---|---|---|
Genotype effect on (\(\hbox {C}+\hbox {I}\)) | Genotype effect on I | Genotype effect on C | Nb of perm | ||
(D) Residual genotypic effect | |||||
2014.Fearly | NA | NA | NA | 6 | NA |
2014.Flate | 0.067 | 0.0000 | 0.47 | 90 | I |
2014.Mearly | NA | NA | NA | 6 | NA |
2014.Mlate | NA | NA | NA | 6 | NA |
2015.Fearly | 0.056 | 0.0079 | 1.0000 | 200 | I |
2015.Flate | 0.025 | 0.0250 | 0.0700 | 200 | I |
2015.Mearly | 0.000 | 0.0160 | 0.0079 | 200 | \(\hbox {C}+\hbox {I}\) |
2015.Mlate | 0.370 | 0.4600 | 0.0290 | 35 | C |