Correction factors for unbiased, efficient estimation and prediction of biomass from log-log allometric models

Forest Ecology and Management

Volumn 310, Issue , 2013, Pages 375-381

  Clifford, David ^a   Cressie, Noel ^b   England, Jacqueline R ^a   Roxburgh, Stephen H ^a   Paul, Keryn I ^a  

^a CSIRO   (Australia)

^b UNIVERSITY OF WOLLONGONG   (Australia)

Author keywords

Above ground biomass; Acacia; Allometry; Destructive sampling; Eucalyptus; Stem diameter

Indexed keywords

ABOVE GROUND BIOMASS; ACACIA; ALLOMETRY; DESTRUCTIVE SAMPLING; EUCALYPTUS; STEM DIAMETER;

BIOLOGY; BIOMASS; ESTIMATION; FORECASTING; LINEAR TRANSFORMATIONS; MEAN SQUARE ERROR;

FORESTRY;

ABOVEGROUND BIOMASS; ALLOMETRY; BIOMASS; DATA SET; DIAMETER; ECOLOGICAL MODELING; ERROR ANALYSIS; ESTIMATION METHOD; EVERGREEN TREE; LINEARITY; PERFORMANCE ASSESSMENT; PREDICTION; STEM;

ACACIA; BIOLOGY; BIOMASS; EUCALYPTUS; FORESTRY; SAMPLING; STEMS;

EID: 84884369519     PISSN: 03781127     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.foreco.2013.08.041     Document Type: Article

References (37)

1. Aitkin, M., Francis, B., Hinde, J., Darnell, R., 2012. SMIR: Companion to Statistical Modelling in R. R package version 0.02. http://CRAN.R-project.org/package=SMIR.
2. Baskerville G.L. Use of logarithmic regression in the estimation of plant biomass. Can. J. For. Res. 1972, 2:49-53.
3. Bi H., Hamilton F. Stem volume equations for native tree species in southern New South Wales and Victoria. Aust. For. 1998, 61:275-286.
4. Bi H., Turner J., Lambert M.J. Additive biomass equations for native eucalypt forest trees of temperate Australia. Trees 2004, 18:467-479.
5. Bradu D., Mundlak Y. Estimation in lognormal linear models. J. Am. Stat. Assoc. 1970, 65:198-211.
6. Brown S., Gillespie A.J.R., Lugo A.E. Biomass estimation methods for tropical forests with applications to forest inventory data. For. Sci. 1989, 35:881-902.
7. Búrquez A., Martínez-Yrízar A. Accuracy and bias on the estimation of aboveground biomass in the woody vegetation of the Sonoran Desert. Botany 2011, 89:625-633.
8. Duan N. Smearing estimate: a nonparametric retransformation method. J. Am. Stat. Assoc. 1983, 78:605-610.
9. El-Shaarawi A.H., Viveros R. Inference about the mean in log-regression with environmental applications. Environmetrics 1997, 8:569-582.
10. Finney D.J. On the distribution of a variate whose logarithm is normally distributed. Suppl. J. R. Stat. Soc. 1941, 7:155-161.
11. Flewelling J.W., Pienaar L.V. Multiplicative regression with lognormal errors. For. Sci. 1981, 27:281-289.
12. Galassi, M., Davies, J., Theiler, J., Gough, B., Jungman, G., Alken, P., Booth, M., Rossi. F., 2011. GNU Scientific Library Reference Manual, third ed. http://www.gnu.org/software/gsl
13. Hankin R.K.S. Special functions in R: introducing the GSL package. R. News 2006, 6.
14. Harville D. Maximum-likelihood approaches to variance-component estimation and to related problems. J. Am. Stat. Assoc. 1977, 72:320-338.
15. Heien D.M. A note on log-linear regression. J. Am. Stat. Assoc. 1968, 63:1034-1038.
16. Hepp T.E., Brister G.H. Estimating crown biomass in loblolly pine plantations in the Carolina flatwoods. For. Sci. 1982, 28:115-127.
17. Hui C., Terblanche J.S., Chown S.L., McGeoch M.A. Parameter landscapes unveil the bias in allometric prediction. Methods Ecol. Evol. 2010, 1:69-74.
18. Kuyah S., Dietz J., Muthuri C., Jamnadass R., Mwangi P., Coe R., Neufeldt H. Allometric equations for estimating biomass in agricultural landscapes: I. Aboveground biomass. Agric. Ecosyst. Environ. 2012, 158:216-224.
19. Lambert M.C., Ung C.H., Raulier F. Canadian national tree aboveground biomass equations. Can. J. For. Res. 2005, 35:1996-2018.
20. Marshall J.D., Waring R.H. Comparison of methods of estimating leaf-area index in old-growth douglas-fir. Ecology 1986, 67:975-979.
21. Montagu K.D., DUttmer K., Barton C.V.M., Cowie A.L. Developing general allometric relationship for regional estimates of carbon sequestration-an example using Eucalyptus pilularis from seven contrasting sites. For. Ecol. Manage. 2005, 204:113-127.
22. Morote G.F.A., López Serrano F.R., Andrés M., Rubio E., González Jiménez J.L., De Las Heras J. Allometries, biomass stocks and biomass allocation in the thermophilic Spanish juniper woodlands of Southern Spain. For. Ecol. Manage. 2012, 270:85-93.
23. Packard G.C., Birchard G.F., Boardman T.J. Fitting statistical models in bivariate allometry. Biol. Rev. 2011, 86:549-563.
24. Parresol B.R. Assessing tree and stand biomass: a review with examples and critical comparisons. For. Sci. 1999, 45:573-593.
25. Parresol B.R. Additivity of nonlinear biomass equations. Can. J. For. Res. 2001, 31:865-878.
26. Patterson H., Thompson R. Recovery of inter-block information when block sizes are unequal. Biometrika 1971, 58:545-554.
27. Paul K.I., Jacobsen K., Koul V., Leppert P., Smith J. Predicting growth and sequestration of carbon by plantations growing in regions of low-rainfall in southern Australia. For. Ecol. Manage. 2008, 254:205-216.
28. Paul, K., Roxburgh, S., Raison, J., Larmour, J., England, J., Murphy, S., Norris, J., Ritson, P., Brooksbank, K., Hobbs, T., Neumann, C., Lewis, T., Read, Z., Clifford, D., Kmoch, L., Rooney, M., Freudenberger, D., Jonson, J., Peck, A., Giles, R., Bartle, J., McAurthur, G., Wildy, D., Lindsay, A., Preece, N., Cunningham, S., Powe, T., Carter, J., Bennett, R., Mendham, D., Sudmeyer, R., Rose, B., Butler, D., Cohen, L., Fairman, T., Law, R., Finn, B., Brammar, M., Minchin, G., Van Oosterzeeand, P., Lothian, A., 2012. Improved estimation of biomass accumulation by environmental plantings and mallee plantings using FullCAM. Report for Department of Climate Change and Energy Efficiency. CSIRO Sustainable Agriculture Flagship, Canberra. p. 93.
29. R Core Team, 2012. R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. URL http://www.R-project.org/.
30. Ritson P., Sochacki S. Measurement and prediction of biomass and carbon content of Pinus pinaster trees in farm forestry plantations, south-western Australia. For. Ecol. Manage. 2003, 175:103-117.
31. Roxburgh S.H., Wood S.W., Mackey B.G., Woldendorp G., Gibbons P. Assessing the carbon sequestration potential of forested ecosystems: a case study from temperate Australia. J. Appl. Ecol. 2006, 43:1149-1159.
32. Ryan T., Joiner B., Ryan B. Minitab Students Handbook 1976, Duxbury Press, North Scituate, Mass.
33. Shen H., Zhu Z. Efficient mean estimation in log-normal linear models. J. Stat. Plan. Inference 2008, 138:552-567.
34. Smith R.J. Logarithmic transformation bias in allometry. Am. J. Phys. Anthropol. 1993, 90:215-228.
35. Snowdon P. A ratio estimator for bias correction in logarithmic regressions. Can. J. For. Res. 1991, 21:720-724.
36. Warton D.I., Wright I.J., Falster D.S., Westoby M. Bivariate line-fitting methods for allometry. Biol. Rev. 2006, 81:259-291.
37. Warton D.I., Duursma R.A., Falster D.S., Taskinen S. Smatr 3 - an R package for estimation and inference about allometric lines. Methods Ecol. Evol. 2012, 3:257-325.