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    Author(s): Marlin E. Plank; James M. Cahill
    Date: 1984
    Source: Res. Note PNW-RN-417. Portland, OR: U.S. Department of Agriculture, Forest Service, Pacific Northwest Research Station. 8 p
    Publication Series: Research Note (RN)
    Station: Pacific Northwest Research Station
    PDF: Download Publication  (390 KB)


    A sample of 351 ponderosa pine (Pinus ponderosa Dougl. ex Laws.) and 509 lodgepole pine (Pinus contorta Dougl. ex Loud.) logs were used to evaluate the performance of three commonly used formulas for estimating cubic volume. Smalian's formula, Bruce's formula, and Huber's formula were tested to determine which would provide the best estimate of cubic volume when it was applied to tree-length logs. Smalian's formula overestimated the volume by 19 percent, Bruce's formula underestimated by 16 percent, and Huber's formula underestimated by 2 percent. Huber's formula provided the closest estimate and is recommended. Accuracy and bias tests are shown.

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    Plank, Marlin E.; Cahill, James M. 1984. Estimating cubic volume of small diameter tree-length logs from ponderosa and lodgepole pine. Res. Note PNW-RN-417. Portland, OR: U.S. Department of Agriculture, Forest Service, Pacific Northwest Forest and Range Experiment Station. 8 p


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    cubic volume, log volume, Smalian's formula, Huber's formula, Bruce's formula, scaling

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