Dependent variable (dv)

Transformation for Normality^†

Fitted models

Multiple

R²

Soil chemistry

K

dv^−0.41

ŷ = −0.041849^{(p = 0.730)}b1 − 0.0816^{(p = 0.044)}b2 − 0.044357^{(p = 0.276)}b3 − 0.052133^{(p = 0.189)}b4 + 0.116161^{(p = 0.018) $\sqrt{\text{N}}$} + 0.007102^{(p = 0.205) $\sqrt{\text{P}}$} − 0.01165^{(p = 0.019)}N

0.359^{(p = 0.039)}

Mg

-

ŷ = 4.879078^{(p < 0.000)} b1 − 0.155711^{(p = 0.228)}b2 − 0.027805^{(p = 0.833)}b3 − 0.022856^{(p = 0.858)}b4 − 0.008871^{(p = 0.010)}N + 0.003007^{(p = 0.008)}P

0.291^{(p = 0.063)}

P

dv^0.46

ŷ = 0.83309^{(p = 0.911) ‡} b1^a + 2.38973^{(p = 0.182)}b2 + 1.8747^{(p = 0.307)}b3 + 1.1502^{(p = 0.516)}b4 + 2.27874^{(p = 0.295) $\sqrt{\text{N}}$} - 2.44087^{(p = 0.033) $\sqrt{\text{P}}$} - 0.25923^{(p = 0.237)}N + 0.36121^{(p < 0.000)}P

0.922^{(p < 0.000)}

P expected/P soil

-

ŷ = 0.2687536^{(p = 0.009)}b1 + 0.0353915^{(p = 0.125)}b2 + 0.0289716^{(p = 0.220)}b3 + 0.0173949^{(p = 0.444)}b4 + 0.0394384^{(p = 0.161) $\sqrt{\text{N}}$} − 0.0514625^{(p = 0.001) $\sqrt{\text{P}}$} − 0.0038727^{(p = 0.170)}N + 0.0029828^{(p = 0.001)}P

0.454^{(p = 0.013)}

Growth and development

Plant height

dv^−0.19

N and P effects: ŷ = 5.425592^{(p = 0.005)} + 0.413743^{(p = 0.361) $\sqrt{\text{N}}$} + 0.653603^{(p = 0.008) $\sqrt{\text{P}}$} − 0.144198^{(p = 0.037)}N − 0.055969^{(p = 0.008)}P + 0.101196^{(p = 0.177) $\sqrt{\text{N}}$} * $\sqrt{\text{P}}$

Plant age effect: $\widehat{y}=2.91918+\left(2.91918-15.23677/1+{\left(x/204.283\right)}^{9.23491}\right)$

-

0.694

^{(Χ² = 12.534, k = 524)}

Stem diameter

dv^−0.05

N and P effects: ŷ = 2.4122229^{(p = 0.026)} + 0.1398655^{(p = 0.629) $\sqrt{\text{N}}$} + 0.5901713^{(p = 0.000) $\sqrt{\text{P}}$}

− 0.0189229^{(p = 0.515)}N − 0.0254747^{(p = 0.004)}P

Plant age effect: $\widehat{y}=1.29818+\left(8.80959-1.29818\right)\times \frac{x^{7.83389}}{{224.89332}^{7.83389}+x^{7.83389}}$

-

0.681

^{(Χ² = 4.570, k = 536)}

Branching

dv^0.10

ŷ = 1.624617^{(p = 0.101)}b1 + 0.657073^{(p = 0.465)}b2 − 0.845044^{(p = 0.362)}b3 + 0.157073^{(p = 0.861)}b4 + 0.052074^{(p = 0.024)}N − 0.009139^{(p = 0.218)}P + 3.281516^{(p < 0.000)}H^b

0.364

^{(p = 0.000)}

Xylopodium diameter

dv^0.10

ŷ = 12.44178^{(p = 0.001)}b1 − 1.027^{(p = 0.230)}b2 − 1.88898^{(p = 0.035)}b3 − 2.47894^{(p = 0.005)}b4 − 1.78980^{(p = 0.207) $\sqrt{\text{N}}$} + 0.04876^{(p = 0.771) $\sqrt{\text{P}}$} + 0.20118^{(p = 0.162)}N − 5.07082^{(p = 0.325)}H + 5.49379^{(p = 0.008) $\sqrt{\text{N}}$} * H + 0.09654^{(p = 0.684) $\sqrt{\text{P}}$} *H − 0.56656^{(p = 0.007)}N*H

0.744

^{(p < 0.000)}

Leaf area

dv^0.35

ŷ = 465.37492^{(p < 0.000)}b1 − 49.56625^{(p = 0.247)}b2 − 69.63742^{(p = 0.116)}b3 − 68.42314^{(p = 0.112)}b4 − 10.62847^{(p = 0.044)}N + 0.31991^{(p = 0.518)}P + 0.20204^{(p = 0.011)}N² − 416.06656^{(p = 0.000)}H + 14.188^{(p = 0.061)}N * H − 0.40932^{(p = 0.559)}P * H − 0.25522^{(p = 0.025)}N² * H

0.705

^{(p < 0.000)}

Dry leaves

dv^0.50

ŷ = 8.628721^{(p < 0.000)}b1 − 0.091967^{(p = 0.893)}b2 − 0.740256^{(p = 0.297)}b3 − 0.811167^{(p = 0.239)}b4 − 0.152607^{(p = 0.071)}N − 0.005056^{(p = 0.526)}P + 0.003567^{(p = 0.006)}N² − 8.059523^{(p < 0.000)} H + 0.183065^{(p = 0.131)}N * H + 0.003525^{(p = 0.754)}P * H − 0.003959^{(p = 0.031)}N² * H

0.798

^{(p < 0.000)}

Dry stems

dv^0.40

ŷ = 0.67805^{(p = 0.654)}b1 − 0.3142^{(p = 0.376)}b2 − 0.70753^{(p = 0.056)}b3 − 0.67275^{(p = 0.061)}b4 − 0.2451^{(p = 0.573) $\sqrt{\text{N}}$} + 0.48083^{(p = 0.033) $\sqrt{\text{P}}$} + 0.03615^{(p = 0.407)}N − 0.02617^{(p = 0.048)}P

0.201

^{(p = 0.048)}

Dry xylopodium

dv^0.20

ŷ = 0.05681^{(p = 0.976)}b1 + 0.948^{(p = 0.584)}b2 − 0.68121^{(p = 0.702)}b3 − 2.02281^{(p = 0.244)}b4 + 0.05426^{(p = 0.216)}N − 0.01043^{(p = 0.464)}P + 6.95798^{(p < 0.000)}H

0.373

^{(p = 0.000)}

Dry roots

dv^0.20

ŷ = 3.7396659^{(p = 0.009)}b1 − 1.4331236^{(p = 0.260)}b2 − 1.2369638^{(p = 0.345)}b3 − 1.843158^{(p = 0.149)}b4 + 0.0201585^{(p = 0.529)}N + 0.0001814^{(p = 0.986)}P + 5.1851406^{(p < 0.000)}H

0.366

^{(p = 0.000)}

Nutrients concentration and content

Leaf P concentration

dv^−0.05

ŷ = 1.602808^{(p < 0.000)}b1 + 0.204678^{(p = 0.355)}b2 + 0.039961^{(p = 0.856)}b3 + 0.011696^{(p = 0.958)}b4 − 0.009975^{(p = 0.092)}N + 0.004881^{(p = 0.013)}P

0.167

^{(p = 0.194)}

Leaf N concentration

-

ŷ = 21.25279^{(p = 0.001)}b1 + 5.75556^{(p < 0.000)}b2 + 3.5^{(p = 0.005)}b3 + 3.57778^{(p = 0.004)}b4 − 1.52302^{(p = 0.309) $\sqrt{\text{N}}$} − 1.40047^{(p = 0.071) $\sqrt{\text{P}}$} + 0.14062^{(p = 0.348)}N + 0.08411^{(p = 0.066)}P

0.4611

^{(p = 0.001)}