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1. Brewer, J. A., P. Y. Burns and Q. V. Cao. 1985. Short term Projection accuracy of Ive asymptotic height–age

curves For Loblolly pine. Forest Science 31: 414–418.

2. Du Toit, S. H. C. 1979. Analysis of growth curves. Ph.D. Thesis, University of South Africa, Pretoria, South Africa.
3. Fox, J., H. Bi and P. Ades. 2007. Spatial dependence and individual-tree growth models II. Modeling spatial

dependence, Forest Ecology and Management 245: 20–30.

4. Gerhold, H. D., N. L. Lacasse and W. W. Andel. 1993. Street tree fact sheets. University Park, The Pennsylvania

State University. AGRS-056.

5. Harrison N. A., E. Boa and M. L. Carpio. 2003. Characterization of phytoplasmas detected in Chinaberry trees with

symptoms of leaf yellowing and decline in Bolivia. Plant Pathology 52: 147-157.

6. Hickey M. and C. J. King. 1981. Moraceae, 100 families of flowering plants. Cambridge University Press, London.

Downloaded from jcpp.iut.ac.ir at 13:57 IRDT on Wednesday May 3rd 2017

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7. http://www.learner.org/jnorth/tm/leaf/HowOld.html
8. Ishii, H., J. P. Clement and D. C. Shawc. 2000. Branch growth and crown form in old coastal Douglas-fir, Forest

Ecology and Management 131: 81-91.

9. Jalota, R. K., and K. K. Sangha. 2000. Comparative ecological–economic analysis of growth performance of exotic

Eucalyptus tereticornis and indigenous Dalbergia sissoo in mono-culture plantations. Ecological Economics 33:
487–495.

10. Joffe, P. 1993. The gardener’s guide to South African plants. Tafelberg-Uitgewers Beperk, CapeTown.
11. Kirsten, K. E. and L. Meyer. 1992. Keith Kirsten’s complete garden manual for South Africa. Human and Rousseau,

Cape Town.

12. Larsen, F. K. and P. Kristoffersen. 2002. Tilia’s physical dimensions over time. Journal of Arboriculture 25: 209–

213.

13. Peper, P. J., E. G. Mc Pherson and S. M. Mori. 2001a. Predictive equations for dimensions and leaf area of coastal

southern California street trees. Journal of Arboriculture 27: 169–181

14. Peper, P. J., E. G. Mc Pherson and S. M. Mori. 2001b. Equations for predicting diameter, height, crown width and

leaf area Of San Joaquin Valley street trees. Journal of Arboriculture 27: 306–317.

15. Pukkala, T., T. Kolstrom and J. Miina. 1994. A method for predicting tree dimensions in Scots pine and Norway

spruce stands. Forest Ecology and Management 65: 123-134.

16. Simard, S. W., and B. J. Zimonick. 2005. Neighborhood size effects on mortality, growth and Crown morphology

of paper birch. Forest Ecology and Management 214: 251–265.

17. Stoffberg, G.H., M. W. van Rooyen, M. J. van der Linde and H. T. Groeneveld. 2008. Predicting the growth in tree

height and crown size of three street tree species in the city of Tshwane. South Africa Urban Forestry and Urban
Greening 7: 259–264.

18. Teimoori, R., S. Roostaee, A. Akbarizamaneh and M. Ahadinejad. 2010. The evaluation of spatio-temporal

suitability of urban parks using GIS (a case study of area no. 2 neighborhood parks of Tabriz municipality).
Itanian Jornal of Geographic Space 10: 137-168. (In Farsi).

19. Wyckoff, P. H., and J. S. Clark. 2005. Tree growth prediction using size and exposed crown area. Canadian Journal

of Forest Research 35: 13-20.

20. Zhanga, L., H. Bi, P. F. Chenga and C. J. Davis. 2004. Modeling spatial variation in tree diameter–height

relationships. Forest Ecology and Management 189: 317–329.

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