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Table 3 Cross-validation results for the 4 tested crown volume models. The cross-validation procedure was repeated 1000 times preserving 75% of the database for training models and 25% for testing, randomly extracted. The standard deviation within single runs is reported between brackets

From: Single-tree crown shape and crown volume models for Pinus nigra J. F. Arnold in central Italy

Crown portion

Fitted model

Var.explained

MAE

MARE

ABOVE

Exponential

80.0% (± 5.4%)

20.32 (± 2.02)

138.15% (± 31.4%)

Linear

76.8% (± 4.5%)

18.31 (± 2.83)

162.45% (± 34.5%)

Polynomial

91.3% (± 3.1%)

10.21 (± 2.11)

59.08% (± 16.3%)

Power

90.0% (± 4.4%)

4.14 (± 0.63)

12.51% (± 2.5%)

BELOW

Exponential

70.3% (± 7.7%)

21.36 (± 1.63)

174.52% (± 29.2%)

Linear

76.3% (± 3.2%)

15.70 (± 1.82)

143.90% (± 25.8%)

Polynomial

85.5% (± 4.6%)

13.06 (± 2.36)

57.54% (± 13.4%)

Power

82.4% (± 4.2%)

12.06 (± 0.85)

32.16% (± 3.9%)