Volume and Biomass Functions for Trees Grown under Arid Conditions in India

V. P. Tewari

doi:10.36808/if/2016/v142i1/87156

Volume and Biomass Functions for Trees Grown under Arid Conditions in India

Authors

V. P. Tewari Forest Biometry Division, Institute of Wood Science and Technology, Bangalore

DOI:

https://doi.org/10.36808/if/2016/v142i1/87156

Keywords:

Volume and Biomass Equation, Linear and Non-Linear Functions, Model Evaluation, Rajasthan, Gujarat.

Abstract

Volume equations are critical starting points to make forest management successful and efficient. Allometric equations for predicting total and merchantable volume play a critical and obvious role in the management of any silvicultural system. The importance of volume equations is indicated by the existence of numerous such equations and the constant search for their improvement. The objective of any volume equation is to provide accurate estimates with acceptable levels of local bias over the entire diameter range in the data. Equations that provide accurate predictions of volume without local bias over the entire range of diameter are one of the basic building blocks of a forest growth and yield simulation system.

In this article, volume equations for Eucalyptus camaldulensis, Dalbergia sissoo and Tecomella undulata planted in Indira Gandhi Nahar Pariyojana (IGNP) area of Arid Rajasthan and Acacia nilotica and Eucalyptus hybrid stands in Gujarat state in India are presented. Apart from this, biomass equations for Azadirechta india planted in Gujarat are also reported. The biomass equations for each component were derived independently. The component predictions are not additive which implies that the predicted weight of stem plus branches may not be equal to the sum of the predicted values of stem and branch. The volume and biomass equations are extremely useful in estimating above-ground carbon stock in these species and in preparation of carbon tables.

Linear and non-linear equations were used to model the relationship of total volume and/or biomass with dbh, and with dbh and total height of the trees, and were compared on the basis of fit and validation statistics. An equation that fits very well to a data set may not necessarily be the best when applied to another data set collected from the same population. The contrasting results, obtained between model fitting and validation, emphasize the need for model validation as an important step in the model construction process.

References

Avery T.E. and Burkhart H.E. (1994). Forest Measurements. McGraw-Hill, New York, 408 p.

Bi H. and Hamilton F. (1998). Stem volume equations for native tree species in southern New South Wales and Victoria. Australian Forestry, 61: 275-286.

Bi H. (1999). Predicting stem volume to any limit for native tree species in southern New South Wales and Victoria. New Zealand Journal of Forestry Science, 20: 318-331.

Bi H. (2000). Trigonometric variable-form taper equations for Australian Eucalypts. Forest Science, 46: 397-409.

Biging G.S. (1984).Taper equations for second growth mixed conifers of northern California. Forest Science, 30: 1103-1117.

Cao Q.V., Burkhart H.E. and Max T.E. (1980). Evaluation of two methods for cubic volume prediction for loblolly pine to any merchantable limit. Forest Science, 26: 71-80.

Chakrabarti S.K. and Gaharwar K.S. (1995). A study on volume equation for Indian teak. Indian Forester, 121(6): 503-509.

Clutter J.L., Fortson J.C., Pienaar L.V., Brister G.H. and Bailey R.L. (1983). Timber management: A quantitative approach. John Wiley and sons, New York, 333 p.

Fowler J.H and Rennie J.C. (1988). Merchantable height in lieu of total height in stem profile equations. Forest Science, 34: 505-511.

Furnival G.M. (1961). An index for comparing equations in constructing volume tables. Forest Science, 7: 337-341.

Gadow K. V. and Hui G.Y. (1999). Modelling Forest Development. Kluwer Academic Publishers, Dordrecht, 213 p.

Goulding C.J. (1979). Validation of growth models used in forest management. New Zealand Journal of Forestry, 24: 108-124.

Gordon A. (1983). Comparison of compatible polynomial taper equations. New Zealand Journal of Forest Science, 13: 146-155.

Green E.J. (1983). Evaluating the predictive abilities of regressions with PRESS. Forest Science, 29: 712-714.

Kozak A. (1970). Methods for ensuring additivity of biomass components by regression analysis. For. Chron, 45: 1-3.

Kumar V.S.K.J. and Tewari V.P. (1999). Above ground biomass tables for Azadirachta indica A. Juss. International Forestry Review, 1: 109-111.

Loetsch F., Zohrer F. and Haller K.E. (1973). Forest Inventory, Vol. II, BLV Verlagsgesellschaft, Munchen, 469 p.

Mac Dicken K.K., Wolf G.V. and Briscoe C.B. (eds.) (1991). Standard research methods for multipurpose trees and shrubs. International Research Centre for Agroforestry (ICRAF) and Winrock International publication (multipurpose tree species network research series; manual no. 5).

Moret A.Y., Jerez M. and Mora A. (1998). DeterminaciÃ³n de ecuaciones de volumen para plantaciones de teca (Tectona grandis L.) en la Unidad Experimental de la Reserva Forestal Caparo, Estado Barinas â€“ Venezuela. Rev. Forest. Venez, 42(1): 41-50.

Perez C.L.D. and Kanninen M. (2003). Provisional equations for estimating total and merchantable volume for Tectona grandis trees in Costa Rica. Forests, Trees and Livelihoods, 13: 345-359.

Philips G.B. (1995). Growth functions for teak (Tectona grandis Linn. F.) plantations in Sri Lanka. Commonwealth Forestry Review, 74(4): 361375.

Ramnaraine S. (1994). Growth and yield of teak plantations in Tridad and Tobago. M. Sc. Thesis, University of New Brunswick, Canada, 165 p.

Reynolds M.R. and Chung J. (1986). Regression methodology for estimating model prediction error. Canadian Journal of Forest Research, 16: 931-938.

Reynolds M.R., Burkhart H.E. and Daniels R.F. (1981). Procedures for statistical validation of stochastic simulation models. Forest Science, 27: 349-364.

Spurr S.H. (1952). Forest Inventory. John Wiley and sons, New York, 476 p.

Tewari V.P., Mariswamy K.M and Arun Kumar A.N. (2013). Total and merchantable volume equations for Tectona grandis linn f. Plantations in Karnataka, India. Journal of Sustainable Forestry, 32(3): 213- 229.

Tewari, V.P. and Kumar V.S.K. (2001). Construction and validation of tree volume functions for Dalbergia sissoo grown under irrigated conditions in the hot desert of Indi. Journal of Tropical Forest Science, 13(3): 503-511.

Tewari, V.P. and Kumar V.S.K. (2003). Volume equations and their validation for irrigated plantations of Eucalyptus camaldulensis in the hot desert of India. Journal of Tropical Forest Science, 15(1): 136-146.

Tewari V.P. and Singh, B. (2006a). Total and merchantable wood volume equations for Eucalyptus hybrid trees in Gujarat State, India. Arid Land Research and Management, 20(2): 147-159.

Tewari V.P. and Singh B. (2006b). Provisional equations for estimating total and merchantable wood volume of Acacia nilotica trees in Gujarat State of India. Forests, Trees and Livelihoods, 16(3): 277-288.

Tewari V.P. (2007). Total wood volume equations and their validation for Tecomella undulata plantations in hot arid region of India. Indian Forester, 133(12): 1648-1658.

Trincado G., Gadow K.V. and Tewari V.P. (1996). Comparison of three stem profile equations for Quercus robur L. South African Forestry Journal, 177: 23-29.

Williams M.S. (1997). A regression technique accounting for heteroscedastic and asymmetric errors. Journal of Agricultural, Biological and Environmental Statistics, 2: 108-129.