Technical notes

Modelling Crown-Stem Diameters Relationship for the Management of Tectona grandis Linn f. Plantation in Omo Forest Reserve, Western Nigeria


Crown-stem diameter relationship is important for sustainable forest management. Effective forest management requires routine inventory data of tree crops for decision making. Therefore, in this study, crown-stem diameter relationship was modelled for the management of Tectonia grandis L. f. plantation in Nigeria. The dataset consists of 1919 trees measured from 35 sample plots. Three methods including ordinary least square (OLS), quantile regression (QR) and linear mixed model (LMM) were used to model the relationship between crown diameter (CD) and diameter at breast height (DBH). The model was used to estimate the limiting density, growing space and projection area. The result shows that the model from LMM was more suitable than OLS and QR. It explained 0.622 of the variation in CD with root mean squared error of 0.736. The study also shows e.g., that T. grandis trees of 25 cm DBH would occupy an equivalent area 36.32 m2 and to avoid inter-tree competition the stand density should not exceed 275 Nha-1. And if the plantation is to be thinned and clear-felled when mean DBH is 50 cm, density remaining after thinning would be 115 Nha-1 with average growing space of 9.3 m. This information would help in the management of the plantation.


Crown diameter; linear mixed model; ordinary least square; quantile regression; teak.

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Adesoye P.O., Ezenwenyi J.U. 2014 - Crown diameter prediction models for Tectona grandis Linn f. Omo forest reserve. Journal of Forestry Research and Management 11: 72-87.

Bechtold W. A. 2003 - Crown-diameter prediction models for 87 species of stand-grown trees in the eastern United States. Southern Journal of Applied Forestry 27(4): 269-278.

Bohora S.B., Cao Q.V. 2014 - Prediction of tree diameter growth using quantile regression and mixed-effects models. Forest Ecology and Management 319: 62-66.

Chukwu O., Osho J.S.A. 2018 - Basal area-stump diameter models for Tectona grandis Linn.f. stands in Omo Forest Reserve, Nigeria. Journal of Forest and Environmental Science 34(2): 119-125.

Dawkins H.C. 1963 - Crown diameters: their relation to bole diameter in tropical forest trees. Commonwealth Forestry Review 42: 318-333.

De-Miguel S., Mehtatalo L., Shater Z., Kraid B., Pukkala T. 2012 - Evaluating marginal and conditional predictions of taper models in the absence of calibration data. Canadian Journal of Forestry Research 42: 1383-1394.

Deng W.H., Wei G., Mei Z.G. 2003 - Nest and roost habitat characteristics of the grey-faced buzzard in northeastern China. Journal of Raptor Research 37(3): 228-235.

Ducey M.J., Knapp R.A. 2010 - A stand density index for mixed species forest in the northeastern United States. Forest Ecology and Management 260: 1613-1622.

Foli E.G., Alder D., Miller H.G. Swaine M.D. 2003 - Modelling growing space requirements form some tropical forest tree species. Forest Ecology and Management 173:79-88.

Fu L., Sharma R.P., Hao K., Tang S. 2017 - A generalized interregional nonlinear mixed-effects crown width model for Prince Rupprecht larch in northern China. Forest Ecology and Management 389: 364-373.

Fu Y., Lv F., Zhu G., Lv Y. 2016 - Construction of crown width model for single tree of natural Larix principis-rupprechtii Forest. Forest Resource Management 5: 65-70 (in Chinese with English abstract).

Gao H.L., Bi H.Q., Li F.R. 2007 - Modelling conifer crown profiles as nonlinear conditional quantiles: An example with planted Korean pine in northeast China. Forest Ecology Management 398: 101-115.

Gao H.L., Dong L.H., Li F.R. 2016 - Maximum density-size line for Larix olgensis plantations based on quantile regression. Chinese Journal of Applied Ecology 27: 3420-3426.

Gering L.R. 1995 - The relationship of diameter at breast height and crown diameter for species groups in Hardin County, Tennessee. Southern Journal of Applied Forestry 19 (4): 177-184.

Gill S.J., Biging G.S., Murphy E.C. 2000 - Modelling conifer tree crown radius and estimating canopy cover. Forest Ecology and Management 126: 405-416.

Gonzalez-Benecke C.A., Gezan S.A., Samuelson L.J., Cropper W.P., Ludec D.J., Martin T.A. 2014 - Estimating Pinus palustris Mill. tree diameter and stem volume from tree height, crown area and stand-level parameters. Journal of Forestry Research 25(1): 43-52.

Hafley W.L., Buford M.A. 1985 - A bivariate model for growth and yield prediction. Forest Science 31: 327-247.

Hao L., Naiman D. 2007 - Quantile regression. In Statistics for Social Science and Behavourial Science. Sage Publications, Inc: London, UK.

Hemery G.E., Savill P.S., Pryor S.N. 2005 - Applications of the crown-stem diameter relationship for different species of broadleaved trees. Forest Ecology and Management 215: 285-294.

Kershaw J.A., Ducey M.J., Beers T.W., Hush B.M. 2017 - Forest mensuration. 5th Ed. Chichester, UK; Hoboken, NJ; John Wiley & Sons. 632 p.

Koenker R., Bassett G. 1978 - Regression quantiles. Econometrica 46: 33-50.

Koenker R., Hallock K. 2001 - Quantile regression. Journal of Economic Perspective 15: 143-156.

Marshall D.D., Johnson G.P., Hann D.W. 2003 - Crown profile equations for stand-grown western hemlock trees in northeastern Oregon. Canadian Journal of Forestry Research 33: 2059-2066.

Mehtätalo L., Gregoire T.G., Burkhart H.E. 2008 - Comparing strategies for modelling tree diameter percentiles from remeasured plots. Environmetrics 19: 529-548.

Miranda I., Sousa V., Pereira H. 2011 - Wood properties of teak (Tectona grandis L.f.) from a mature unmanaged stand in East Timor. Journal Wood Science 57: 171-178.

Ozcelik R., Cao Q.V., Trincado G., Nilsum G. 2018 - Predicting tree height from tree diameter and dominant height using mixed-effect and quantile regression models for two species in Turkey. Forestry Ecology and Management 419 (420): 240-248.

Pretzsch H., Biber P., Uhl E., Dahlhausen J., Rotzer T., Caldentey J., Koike T., Van Con T., Chavanne A., Seifert T., Et A.L. 2015 - Crown size and growing space requirement of common tree species in urban centres, parks, and forests. Urban Forestry and Urban Gardening 14: 466-479.

R Core Team 2017 - R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. [Online] Available: [2007, June 30]

Raptis D., Kazana V., Kazaklis A., Stamatious C. 2018 - A crown width-diameter model for natural even-aged black pine forest management. Forests 9: 610-629.

Robertson B. 2002 - Growing Teak in the Top End of the NT. Ag note 812 No G26.

Sharma R.P., Vacek Z., Vacek S. 2016 - Individual tree crown width models for Norway spruce and European beech in Czech Republic. Forest Ecology and Management 366: 208-220.

Sonmez T. 2009 - Diameter at breast height-crown diameter prediction models for Picea orientalis (L.) Peterm. African Journal of Agricultural Research 4(3): 215-219.

Sousa V.B., Cardoso S., Quilho T., Pereira H. 2011 - Growth rate and ring width variability of teak, Tectona grandis (Verbenanceae) in an unmanaged forest in East Timor. Revista Biologia Tropical 60 (1): 483-494.

Sun Y., Gao H., Li F. 2017 - Using linear mixed-effects models with quantile regression to simulate the crown profile of planted Pinus sylvestris var. Mongolica trees. Forests 8: 446 – 463.

Van Laar A., Akҫa A. 2007 - Forest Mensuration. Dordrecht, Netherlands, Springer. 389 p.

Yang Y., Huang S. 2017 - Allometric modelling of crown width for white spruce by fixed- and mixed-effects models. The Forest Chronicle 93: 138-147.

Zarnoch S.J., Bechtold W.A., Stoke K.W. 2004 - Using crown condition variables as indicators of forest health. Canadian Journal of Forestry Research 34: 1057-1070.

Zhang L., Bi H., Gove J.H., Heath L.S. 2005 - A comparison of alternative method of estimating the self-thinning boundary line. Canadian Journal of Forestry Research 35: 1507-1514.

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