3264 Chapter 27 



To determine volume inside bark, those same coefficients are used, but 



d = desired top diameter inside bark 



D =dbh X the species dib/dob ratio, as listed below: 



white oak 0.92017 



red oaks 90356 



red maple 94306 



Based on measurements of 62 northern red oaks felled in North Carolina, 

 Phillips and Cost (1978) developed equations for predicting the volume (inside 

 bark) of the total tree (excluding 0.5 foot stump) and of the merchantable stem 

 (to a 4-inch top outside bark): 



Log,ototal-tree volume (cubic feet) = -2.62944 + 1.00979 Log ,o(D2Th) 



R2 = 0.99; Sy.x = 6.08 cubic feet (27-15) 



LogioStem volume (cubic feet) = -2.67736 + 0.99529 Log,o(D2Th) 



R2 = 0.99; Sy.x = 2.94 cubic feet (27-16) 



where 



D = diameter at breast height, inches 

 Th = total height, feet 



Volumes calculated for trees 6 to 24 inches in dbh using these equations are 

 listed in table 16-19. 



Beers and Gingrich (1958) provided a cubic volume equation and tables for 

 northern red oak based on measurement of 236 trees in Pennsylvania. Hilt 

 (1980) developed a taper-based system for estimating stem volumes in upland 

 oaks to any desired top diameter. Naturally, the larger the merchantable top 

 diameter selected, the smaller the cubic volume (Fig. 27-4); the difference is 

 most pronounced in trees with a small diameter at breast height. Hilt's work is 

 based on measurements of felled trees in the Central States. 



Clark et al. (1980 abc) provided tree volume equations (tables 27-65 ABC) 

 and volume data computed from the equations (tables 27-66 ABC) for scarlet 

 oak from the Tennessee Cumberland Plateau, southern red oak on the High- 

 land Rim in Tennessee, and northern red oak in western North Carolina. 



Yellow-poplar has been the subject of many studies, and several equations 

 for predicting cubic-foot volumes are available. Beck's (1963) equations and 

 volume tables (tables 27-5 1 through 27-53) were prepared from measurements 

 of 336 trees in the southern Appalachian regions of Georgia, North Carolina, 

 and Tennessee, and Virginia. Sample trees ranged from 1 to 30 inches in dbh and 

 from 10 to 138 feet in total height. The equations, which account for 98 percent 

 or more of the total variation in volume, are as follows: 



Total cubic-foot volume outside bark = 



0.0025 D^H - 0.0028 (27-17) 



Cubic-foot volume outside bark to 4.0-inch top (ob) = 



0.0024 D^H - 0.6417 (27-18) 



Cubic-foot volume outside bark to 8.0-inch top (ob) = 



0.0024 D^H - 5.3000 (27-19) 



