J. For. Sci., 2010, 56(12):600-608 | DOI: 10.17221/102/2009-JFS
A linkage among whole-stand model, individual-tree model and diameter-distribution model
- Research Institute of Forest Resource Information Techniques, Chinese Academy of Forestry, Beijing, China
Stand growth and yield models include whole-stand models, individual-tree models and diameter-distribution models. In this study, the three models were linked by forecast combination and parameter recovery methods one after another. Individual-tree models combine with whole-stand models through forecast combination. Forecast combination method combines information from different models, disperses errors generated from different models, and then improves forecast accuracy. And then the forecast combination model was linked to diameter-distribution models via parameter recovery methods. During the moment estimation, two methods were used, arithmetic mean diameter and quadratic mean diameter method (A-Q method), and arithmetic mean diameter and diameter variance method (A-V method). Results showed that the forecast combination for predicting stand variables outperformed over the stand-level and tree-level models respectively; A-V method was superior to A-Q method on estimating Weibull parameters; these three different models could be linked very well via forecast combination and parameter recovery.
Keywords: forecast combination; linkage; parameter recovery; stand growth and yield model
Published: December 31, 2010 Show citation
References
- Bates J.M., Granger C.W.J. (1969): The combination of forecasts. Operation Research Quarterly, 20: 451-468.
Go to original source...
- Bailey R.L., Dell T.R. (1973): Quantifying diameter distributions with the Weibull distribution. Forest Science, 19: 97-104.
- Bailey R.L. (1980): Individual tree growth derived from diameter distribution models. Forest Science, 26: 626-632.
- Borders B.E., Bailey R.L. (1986): A compatible system of growth and yield equations for Slash Pine fitted with restricted three-stage least squares. Forest Science, 32: 185-201.
- Borders B.E. (1989): Systems of equations in forest stand modeling. Forest Science, 35: 548-556.
- Cao Q.V. (1997): A method to distribute mortality in diameter distribution models. Forest Science, 43: 435-442.
- Cao Q.V. (2000): Prediction of annual diameter growth and survival for individual trees from periodic measurements. Forest Science, 46: 127-131.
- Cao Q.V., Li.S.S., McDill M.E. (2002): Developing a system of annual tree growth equations for the loblolly pine- shortleaf pine type in Louisiana. Canadian Journal Forest Research, 32: 2051-2059.
Go to original source...
- Cao Q.V., Strub M. (2008): Evaluation of four methods to estimate parameters of an annual tree survival and diameter growth model. Forest Science, 6: 617-624.
- Curtis R.O., Clendenen G.W, Renkama D.L. (1981): A New Stand Simulator for Coast Douglas-Fir: DFSIM User' Guide. General Technical Report PNW-128. Portland, USDA Forest Service, Pacific Northwest Forest and Range Experiment Station.
- Curtis R.O., Marshall D.D. (2000): Why quadratic mean diameter? West Journal of Applied Forest, 15: 137-139.
Go to original source...
- Diéguez-Aranda U., Dorado F.C., Álboreca-Gonzáles J.G., Alboreca A.R. (2006): Dynamic growth model for Scots pine (Pinus sylvestris L.) plantations in Galicia (northwestern Spain). Ecological Modelling, 191: 225-242.
Go to original source...
- Frazier J.R. (1981): Compatible Whole-Stand and Diameter Distribution Models for Loblolly Pine Plantations. [Ph.D. Thesis.] Blackburg, Virginia Polytechnic Institute and State University, School of Forestry and Wildlife: 125.
- Garcia O. (2001): On bridging the gap between tree-level and stand-level models. Available at http://web.unbc.ca/~garcia/publ/greenw.pdf (accessed on June 13, 2009)
- Gorgoso-Várela J.J., Rojo-Alboreca A., Afif-Khouri E., Barrio-Anta (2008): Modelling diameter distributions of birch (Betula alba L.) and pedunculate oak (Quercus robur L.) stands in northwest Spain with the Beta distribution. Investigation Agraria: Sistemas y recursos Forestales, 17: 271-281.
Go to original source...
- Hyink D.M., Moser J.W. (1983): A generalized framework for projecting forest yield and stand structure using diameter distribution. Forest Science, 29: 85-95.
- Jeong D.I., Kim Y.O. (2009): Combining single-value streamflow forecasts - A review and guidelines for selecting techniques. Journal of Hydrology, 377: 284-299.
Go to original source...
- Johnston J. (1991): Econometric Methods. McGraw-Hill, Singapore: 568.
- Kangas, A., Maltamo M. (2000): Calibrating predicted diameter distribution with additional information. Forest Science. 46: 390-396.
- Lei Y. (2008): Evaluation of three methods for estimating the Weibull distribution parameters of Chinese Pine (Pinus tabulaeformis). Journal of Forest Science, 54: 549-554.
Go to original source...
- Li X.F., Tang S.Z., Wang S.L. (1998): The Establishment of variable density yield table for Chinese plantation in Dagangshan Experiment Bureau. Forest research, 4: 382-389. (in Chinese)
- Liu C.M., Zhang S.Y., Lei Y., Newton P.F., Zhang L.J. (2004). Evaluation of three methods for predicting diameter distributions of black spruce (Picea mariana) plantations in central Canada. Canadian Journal Forest Research, 34: 2424-2432.
Go to original source...
- Lynch T.B., Moser J.W. (1986): A growth model for mixed species stands. Forest Science, 32: 697-706.
- Mabvurira D., Maltamo M., Kangas A. (2002): Predicting and calibrating diameter distributions of Eucalyptus grandis (Hill) Maiden plantations in Zimbabwe. New Forests, 23: 207-223.
Go to original source...
- Meng X.Y. (1988): A study of the relation between D and H- distributions by using the Weibull function. Journal of Beijing Forestry University, 10: 40-47. (in Chinese)
- Meng X.Y. (1996): Natural Resources Measurement. 2nd Ed. Beijing: China Forestry Publishing House: 296. (in Chinese)
- Munro D.D. (1974): Forest growth models - a prognosis. In: Fries J. (ed.): Growth Models of Tree and Stand Simulation. Royal College of Forestry, Research Note No. 30, Stockholm.
- Newbold P., Granger C.W.J. (1974): Experience with forecasting univariate time series and the combination of forecasts. Journal of the Royal Statistical Society Series A, 137: 131-165.
Go to original source...
- Newbold P., Zumwalt J.K., Kannas S. (1987): Combining forecasts to improve earnings per share prediction: and examination of electric utilities. International Journal of Forecasting, 3: 229-238.
Go to original source...
- Newton P.F., Lei Y., Zhang S.Y. (2005): Stand-level diameter distribution yield model for black spruce plantations. Forest Ecology and Management, 209: 181-192.
Go to original source...
- Ochi Cao Q.V. (2003): A comparison of compatible and annual growth models. Forest Science, 49: 285-290.
- Qin J.H., Cao Q.V. (2006): Using disaggregation to link individual-tree and whole-stand growth models. Canadian Journal of Forest Research, 36: 953-960.
Go to original source...
- Qin J.H., Cao Q.V., Blouin D.C. (2007): Projection of a diameter distribution through time. Canadian Journal of Forest Research, 37: 188-194.
Go to original source...
- Reynolds M.R., Burk T.E., Huang W.C. (1988): Goodnessof-fit tests and model selection procedures for diameter distribution models. Forest Science, 34: 373-399.
- Ritchie M.W., Hann D.W. (1997): Implications of disaggregation in forest growth and yield modeling. Forest Science, 43: 223-233.
- Tang S.Z., Li X.F., Meng Z.H. (1993): The development of studies on stand growth models. Forest Research, 8: 672-679. (in Chinese)
- Wang M.L., Rennolls K. (2005): Tree diameter distribution modeling: introducing the logit-logistic distribution. Canadian Journal Forest Research, 35: 1305-1313.
Go to original source...
- Wei Z.C. (2006): Application of stand models Larix olgensis plantations. Journal of Northeast Forestry University, 34: 31-33. (in Chinese)
- Yue C.F., Kohnle U., Hein S. (2008): Combining tree-and stand-level models: a new approach to growth prediction. Forest Science, 54: 553-566.
- Zhang L., Moore J.A., Newberry J.D. (1993): Disaggregating stand volume growth to individual trees. Forest Science, 39: 295-308.
- Zhang L., Packard K.C., Liu C. (2003): A comparison of estimation methods for fitting Weibull and Johnson's SB distributions to mixed spruce-fir stands in northeastern North America. Canadian January Forest Research, 33: 1340-1347.
Go to original source...
- Zhang S., Amateis R.L., Burkhart H.E. (1997): Constraining individual tree diameter increment and survival models for loblolly pine plantations. Forest Science, 43: 414-423.
- Zhang X.Q., LeiY.C. (2009): Comparison of annual individual-tree growth models based on variable rate and constant rate methods. Forest Research, 22: 824-828. (in Chinese)
- Zhang X.Q., LeiY.C., Chen X.M, Wang J Z. (2010): Prediction of stand basal area with forecast combination. Journal of Beijing Forestry University. (in press)
- Zhang Y., Ma C.S., Wei K. (2006): The study of estimation of weight coefficient in combination forecast models - the application of the least absolute Value model. Journal of Transportation Systems Engineering and Information Technology, 6: 125-129. (in Chinese)
Go to original source...
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