Hilgardia
Hilgardia
Hilgardia
University of California
Hilgardia

Tree Taper Model Volume Equations: I. Bark Taper Equations for California Conifers

Authors

Lee C. Wensel
Craig M. Olson

Authors Affiliations

Lee C. Wensel was Professor, Department of Environmental Science Policy and Management, University of California, Berkeley, CA 94720; Craig M. Olson was Research Associate, Department of Environmental Science Policy and Management, University of California, Berkeley, CA 94720.

Publication Information

Hilgardia 62(2):1-14. DOI:10.3733/hilg.v62n02p014. December 1995.

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Abstract

Upper-stem tree diameters are usually measured outside the bark with the only bark thickness measurements being made at breast height. The current study presents equations and coefficients for estimating the bark thickness in both the upper stem and at the stumps based upon the bark thickness at breast height, the size of the tree (DBH and total height), and the height to the measurement in question.

The upper-stem model presented is an extension of a previously published general hyperbolic ratio model. The model for bark ratio below breast height, a simple power function, is estimated as well. Both equations contain coefficients that account for the more rapid taper on trees with thicker bark.

The data used for fitting and testing the taper models consisted of measurements on over 3,000 conifer trees measured by members of the Northern California Forest Yield Cooperative and the USDA Forest Service. The data were split into two halves, one half for fitting and the other half for testing. The best upper-stem and below-DBH equations obtained from this analysis are discussed here; the remainder are listed in the Appendix.

Literature Cited

Assman E. The principles of forest yield study: studies in the organic production, structure, increment and yield of forest stands 1970.

Biging G. S. Taper equations for second-growth mixed conifers of northern California. Forest Science. 1984. 30(4):1103-17.

Brickell J. E. Test of equations for predicting bark thickness of western Montana species, Research Note INT-107. 1970. Ogden, Utah: USDA Forest Service, Intermountain Forest and Range Expt. Sta.

Dolph K. L. Relationships of inside and outside bark diameters for young-growth mixed-conifer species in the Sierra Nevada 1984. USDA Forest Service Research Note PSW-368

Dolph K. L. Nonlinear equations for predicting diameter inside bark at breast height for young-growth Red Fir in California and southern Oregon 1989. USDA Forest Service Research Note PSW-409

Ernst S., Pong W. Y. Lumber recovery from ponderosa pine in northern California 1985. USDA Forest Service Research Paper PNW-333, Portland, Oregon

Fuller W. A. Grafted polynomials as approximating functions. Austr. J. Ag. Econ. 1969. 13:35-46. DOI: 10.1111/j.1467-8489.1969.tb00053.x [CrossRef]

Gallant A. R. The theory of nonlinear regression as it relates to segmented polynomial regressions with estimated join points 1974. p.25. Institute of Statistics Mimeograph Series No. 925

Gallant A. R., Fuller W. A. Fitting segmented polynomial regression models whose join points have to be estimated. JASA. 1973. 68:144-47. DOI: 10.1080/01621459.1973.10481353 [CrossRef]

Grosenbaugh L. R. Tree content and value estimation using various sample designs, dendrometry methods, and V-S-L conversion coefficients 1974. USDA Forest Service Research Paper SE-117

Khan F. M., Bell J. F., Berg A. B. Estimating diameter inside bark at various heights in young Douglas-fir trees 1977. Oregon State University Forest Research Lab Note 59

Kozak A., Munro D. D., Smith J. H. G. Taper functions and their application in forest inventory. For. Chron. 1969. 45(4):278-83.

Larsen D. R., Hann D. W. Equations for predicting diameter and squared diameter inside bark at breast height for six major conifers of Southwest Oregon 1985. Oregon State University Forest Research Lab Note 77

Maguire D. A., Hann D. W. Bark thickness and bark volume in southwestern Oregon Douglas-fir. West. J. Appl. For. 1990. 5(1):5-8.

Max T. A., Burkhart H. E. Segmented polynomial regression applied to taper equations. For. Sci. 1976. 22(3):283-89.

Pong W. Y. Lumber recovery from young-growth red and white fir in northern California 1982. Research Paper PNW-300, USDA Forest Service, Portland, Oregon

Pong W. Y., Cahil J. M. Lumber recovery from incense cedar in central California 1988. Research Paper PNW-393, USDA Forest Service, Portland, Oregon

Ritchie M. W., Hann D. W. Nonlinear equations for predicting diameter and squared diameter inside bark at breast height for Douglas-fir 1984. Oregon State University Forest Research Lab Paper 47

Sas Institute Inc. SAS user’s guide: statistics. Version 5 1985.

Wensel L. C., Meerschaert W. J., Biging G. S. Tree height and diameter growth models for northern California conifers. University of California Agricultural Experiment Station, Hilgardia. 1987. 55(8):20

Wensel L, Olson C. 1995. Tree Taper Model Volume Equations: I. Bark Taper Equations for California Conifers. Hilgardia 62(2):1-14. DOI:10.3733/hilg.v62n02p014
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