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Table 3 Overview over the regression models describing above-ground volume and mass fractions. In each model, the predictor is the logarithm of the DBH in centimetre. For each model, the response variable, the modelled fraction, the equation the model was fitted to, the model coefficients, the R2pseudo and the p-values are reported. The explicitly modelled section is highlighted in bold, while the implicitly modelled section is not. The p-values were derived by performing likelihood ratio tests comparing each model with the respective intercept-only model

From: Allometric models for above-ground biomass, carbon and nutrient content of wild cherry (Prunus avium L.) trees in agroforestry systems

Response (\(\widehat{y}\))

Section

Eq

Intercept (\({\beta }_{0}\))

Slope (\({\beta }_{1}\))

Slope (\({\beta }_{2}\))

Slope (\({\beta }_{3}\))

R2pseudo

p-value

Volume

Bole

Crown

(5)

 − 0.7389

 − 0.0226

n.a

n.a

0.3008

 < 0.001

Biomass

Bark

Wood

(6)

 − 0.3430

0.9208

 − 0.1674

0.0321

0.7829

 < 0.001

Carbon

Bark

Wood

(6)

 − 0.4039

0.9234

 − 0.1694

0.0326

0.7780

 < 0.001

Ca

Bark

Wood

(6)

 − 2.8383

0.9983

 − 0.1612

0.0307

0.9194

 < 0.001

K

Bark

Wood

(6)

 − 1.4817

0.9931

 − 0.1832

0.0353

0.8346

 < 0.001

Mg

Bark

Wood

(6)

 − 1.0126

0.9554

 − 0.1551

0.0294

0.8892

 < 0.001

N

Bark

Wood

(6)

 − 1.9599

1.0016

 − 0.1736

0.0333

0.8852

 < 0.001

P

Bark

Wood

(6)

 − 1.5711

0.9821

 − 0.1663

0.0318

0.8854

 < 0.001