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Table III

ANOVA tables, parameter estimates and model statistics for the distance-dependent tree model (Eq. (2)).

Oak (a = 0 and b = 0 for CI) Pine (a = 2 and b = 0 for CI)

Source SS d.f. Fvalue Pr > F SS d.f. F value Pr > F
Intercept 50.48 1 4.939 0.0279 110.75 1 10.647 0.0013
Girth1999 93.95 1 9.194 0.0029 250.38 1 24.071 < 0.0001
Plot 177.99 8 2.177 0.0329
CIoak 417.87 1 40.89 < 0.0001
CIpine 64.83 1 6.344 0.0129 137.44 1 13.213 0.0003
Girth1999:Plot 184.87 8 2.261 0.0267 224.02 8 2.692 0.0082
Residuals 1369.24 134 1747.46 168

Coefficient Estimate Standard Error (σ) Estimate Standard Error (σ)

α k,s 4.003 < αk,oak < 13.014 2.270 < σ < 3.393 4.602 1.410
β k,s 0.0361 < βk,oak < 0.1766 0.0256 < σ < 0.0434 0.0337 < βk,pine < 0.0812 0.0097 < σ < 0.0175
λ oak –0.3539 0.0553
λ pine –0.2424 0.0962 –11.364 3.126

Adjusted R2 0.5806 0.2117

Residual S.D. 3.197 3.225