Table S . --Equations for estimating hole weights (w) of trees 4 inches and less 

 in d. b. h. 



cies : : MSR-^ : \ Y / : n : Equations 



Lh'^' Percent 



DOMINANTS 



s 



0. 96 







7472 



17 



10 



w = 



EXP[0. 



u 



8381 + 1.3803(lnd)] 



DF 



. 99 





4056 



1 1 



12 



w = 







74 



+ 



1 



591 (d^j 



PP 



.96 



1 



378 



20 



11 



w = 





08 



+ 









LP 



.97 





0764 5 



14 



8 



w = 



1 



49 





2 



388Cd) + 2.297Cd2) 



WP 



.98 





2868 



13 



13 



w = 



1 



15 



+ 







530(d^) 



C 



.99 





1849 



6 



13 



w = 



1 



436(d) 



+ 0.3326(d3) 



GF 



.99 





0926 



7 



12 



w = 







62 



+ 







8024(d2] + 0.1724(d3) 



WH 



.98 





6754 



15 



12 



w = 







31 



+ 







8334(d) + 0.06819(d2h) 





. 97 





9778 



18 



12 



w = 







11 



+ 



1 



665(d2) 



L 



.99 





4169 



9 



12 



w = 







65 



+ 







1004 (d^h) 





.99 



1 



113 



14 



12 



w - 







96 



+ 







6532(d3) 



AF 



. 99 





3078 



8 



12 



w - 







28 



+ 







02692 (d^h) + 0.1912(dh) 





.99 





7491 



12 



12 



w = 



1 



55 



+ 







4140(d3) 



WBP 



. 95 



2 



718 



26 



8 



w = 



1 



33 



+ 







08614(d2h) 





. 91 



4 



866 



34 



8 



w = 







52 



+ 



1 



441 (d2) 



DF 



. 97 





8832 



21 



8 



w = 



PP 



.92 



5 



271 



49 



11 



w = 





. 79 



13 



27 



77 



11 



w = 



C 



.97 



2 



497 



23 



10 



w = 



GF 



.97 



1 



467 



24 



8 



w = 





. 87 



7 



110 



52 



8 



w = 



INTERMEDIATES 



-0.88 + 2.234(d2) 



0.20 + 0.07058(d2h) 

 0.74 + 0.4006(d3) 



0.52 + 1.350(d2) 



0.34 + 0.09182(d2h) 

 -1.63 + 2.172(d2) 



MSR indicates mean square residuals. For logarithmic functions, MSR was 

 calculated as Z(P-0)2/df, where P and are predicted and observed values transformed 

 to arithmetic units and df is the residual degrees of freedom. 

 2/ 



— This equation is of the form Iny = a + blnX + (mean square error/2) . The 

 latter term corrects for bias in transforming logs and is included in the intercept 

 term in the equation. The intercept term was adjusted by (mean square/2) when the 

 summation of predicted minus observed values in arithmetic units showed less bias 

 with the correction term than without it. 



17 



