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Table 7 Model (echo-based and CHM) evaluation for each study site and power model fitted

From: Impact of data model and point density on aboveground forest biomass estimation from airborne LiDAR

Study site

Data model

Model

Parameters

Point density (points m−2)

R2

RMSE (Mg ha−1)

relRMSE(%)

Sierra Nevada Mountains

Echo

\(\hat{y} = \alpha X^{\beta }\)

α = 2.75; β = 1.52

20

0.70

85.15

43.50

10

0.70

85.00

43.42

5

0.71

84.13

42.98

1

0.70

85.10

43.47

CHM

α = 11.72; β = 1.07

20

0.70

84.87

43.36

10

0.70

87.72

44.81

5

0.71

93.90

47.97

1

0.74

120.77

61.69

Echo

  \(\hat{y} = \alpha x_{1}^{\beta } x_{2}^{\gamma }\)

α = 11.50; β = 1.20; γ = 0.88

20

0.79

70.67

36.10

10

0.79

70.71

36.12

5

0.80

69.66

35.59

1

0.79

70.15

35.83

CHM

α = 4.22; β = 1.39; γ = −0.62

20

0.76

73.84

37.72

10

0.77

76.98

39.33

5

0.78

85.43

43.64

1

0.78

128.20

65.49

Barro Colorado Island

Echo

\(\hat{y} = \alpha X^{\beta }\)

α = 1.80; β = 1.61

10

0.71

30.08

12.36

5

0.71

30.12

12.38

1

0.70

30.32

12.46

CHM

α = 2.07; β = 1.49

10

0.70

30.42

12.50

5

0.70

31.78

13.06

1

0.69

61.30

25.19

Echo

\(\hat{y} = \alpha x_{1}^{\beta } x_{2}^{\gamma }\)

α = 9.24; β = 1.12; γ = 0.11

10

0.71

30.22

12.42

5

0.71

30.25

12.43

1

0.70

30.37

12.48

CHM

α = 12.32; β = 0.97; γ = 0.13

10

0.69

31.00

12.74

5

0.70

31.75

13.04

1

0.70

55.93

22.98

Serra do Mar

Echo

\(\hat{y} = \alpha X^{\beta }\)

α = 2.69 (3.08); β = 1.88 (0.26)

20

0.44

45.71

10.50

10

0.40

48.02

11.03

5

0.44

46.02

10.57

1

0.58

44.42

10.21

CHM

α = 1.68 (2.47); β = 2.00 (0.33)

20

0.45

45.47

10.45

10

0.40

50.63

11.63

5

0.40

63.36

14.56

1

0.46

136.39

31.34

Echo

\(\hat{y} = \alpha x_{1}^{\beta } x_{2}^{\gamma }\)

α = 0.68 (1.43); β = 2.55 (0.42); γ = −3.3 (1.08)

20

0.62

37.73

8.67

10

0.58

39.77

9.14

5

0.59

39.26

9.02

1

0.69

38.93

8.94

CHM

α = 2.70 (6.60); β = 2.14 (0.48); γ = −16.79 (16.34)

20

0.45

45.43

10.44

10

0.38

48.90

11.24

5

0.40

49.53

11.38

1

0.37

67.23

15.45

  1. Model parameters are presented for each model. For Sierra Nevada Mountains and Barro Colorado Island 70% of the plots were used for calibration and 30% for independent validation. For Serra do Mar due to the small size of the sample a jackknife approach was used instead
  2. Standard deviation of the parameters is presented in brackets