Allometric relationships with intercept (a), slope (b), standard error (SE), residual standard error (RSE), R2, F-value, and P-value for A. hippocastanum, P. × hispanica, R. pseudoacacia, and T. cordata in South Germany to estimate tree height (TH), crown projection area (CPA), crown diameter (CD), crown length (CL), crown volume (CV), and leaf area index (LAI) over diameter at breast height (DBH)
x | y | a | SE | b | SE | RSE | R2 | F | P |
---|---|---|---|---|---|---|---|---|---|
A. hippocastanum | |||||||||
DBH | TH | 0.50551 | 0.05 | 0.55557 | 0.01 | 0.18 | 0.72 | 1,541 | < 0.001 |
CPA | −0.477 | 0.10 | 1.23016 | 0.03 | 0.34 | 0.79 | 2,203 | < 0.001 | |
CD | −0.11772 | 0.05 | 0.61508 | 0.01 | 0.17 | 0.79 | 2,203 | < 0.001 | |
CL | −0.24645 | 0.07 | 0.68303 | 0.02 | 0.24 | 0.70 | 1,391 | < 0.001 | |
CV | −0.72345 | 0.14 | 1.91319 | 0.04 | 0.49 | 0.82 | 2,594 | < 0.001 | |
LAI | 0.537219 | 0.03 | 0.076459 | 0.01 | 0.10 | 0.15 | 104 | < 0.001 | |
P. × hispanica | |||||||||
DBH | TH | 0.79063 | 0.04 | 0.55053 | 0.01 | 0.14 | 0.82 | 2,047 | < 0.001 |
CPA | −0.8246 | 0.11 | 1.5046 | 0.03 | 0.37 | 0.84 | 2,296 | < 0.001 | |
CD | −0.29154 | 0.06 | 0.7523 | 0.02 | 0.19 | 0.84 | 2,296 | < 0.001 | |
CL | −0.005759 | 0.06 | 0.695841 | 0.02 | 0.20 | 0.78 | 1,625 | < 0.001 | |
CV | −0.8304 | 0.14 | 2.20044 | 0.04 | 0.49 | 0.87 | 2,945 | < 0.001 | |
LAI | 1.00785 | 0.05 | −0.09901 | 0.02 | 0.18 | 0.09 | 42 | < 0.001 | |
R. pseudoacacia | |||||||||
DBH | TH | 0.99291 | 0.08 | 0.45798 | 0.02 | 0.23 | 0.52 | 451 | < 0.001 |
CPA | −0.16352 | 0.13 | 1.18144 | 0.04 | 0.40 | 0.71 | 1,005 | < 0.001 | |
CD | 0.03596 | 0.07 | 0.59191 | 0.02 | 0.20 | 0.71 | 1,012 | < 0.001 | |
CL | 0.26121 | 0.09 | 0.57188 | 0.02 | 0.25 | 0.58 | 572 | < 0.001 | |
CV | 0.09767 | 0.17 | 1.75283 | 0.05 | 0.52 | 0.76 | 1,314 | < 0.001 | |
LAI | −1.088 | 0.09 | 0.42704 | 0.03 | 0.27 | 0.41 | 285 | < 0.001 | |
T. cordata | |||||||||
DBH | TH | 0.59171 | 0.05 | 0.56854 | 0.01 | 0.18 | 0.75 | 1,670 | < 0.001 |
CPA | −1.0811 | 0.09 | 1.44802 | 0.03 | 0.32 | 0.86 | 3,286 | < 0.001 | |
CD | −0.43202 | 0.04 | 0.72758 | 0.01 | 0.16 | 0.86 | 3,294 | < 0.001 | |
CL | −0.19833 | 0.06 | 0.70549 | 0.02 | 0.24 | 0.73 | 1,478 | < 0.001 | |
CV | −1.28042 | 0.13 | 2.15384 | 0.04 | 0.48 | 0.86 | 3,289 | < 0.001 | |
LAI | 0.1269 | 0.04 | 0.2281 | 0.01 | 0.14 | 0.43 | 412 | < 0.001 |