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Evaluation of probability distribution functions applied to tree diameter in a mixed uneven Kiker (Robinia pseudoacacia) stand of Kashmir Himalaya, India


Affiliations
1 Faculty of Forestry, Sher-e-Kashmir University of Agricultural Sciences and Technology of Kashmir (SKUAST-K), Benhama 191 202, India
2 Division of Silviculture and Agroforestry, SKUAST-K, Ganderbal 191 201, India
 

Probability distribution is of significance to predict tree distribution and estimate productivity in different ages as well as thinning out in forest stands to ensure optimized and stable stands. Statistical probability distributions, viz. lognormal, Weibull, exponential and gamma were used to fit tree-diameter data generated from the Manasbal forest stand of Kashmir Himalaya, India containing a heterogeneous population of trees with the objective to determine the best probability distribution of tree diameter. To estimate the parameters of the fitted distributions, the method of maximum likelihood was used. The various distributions were evaluated using different goodness-of-fit tests, viz. Kolmogorov–Smirnov, Cramer–von Mises and Anderson–Darling statistics, and the best distribution pertaining to the forest stand was ascertained. Lognormal distribution fitted the data well and could be used in modelling, planning and scheduling the forest stand in the study region.

Keywords

Diameter class, goodness-of-fit statistics, forest stands, probability distribution function, Robinia pseudoacacia.
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  • Boring, L. R. and Swank, W. T., The role of black locust (Robinia pseudoacacia) in forest succession. 1894, 72, 749–766.
  • Luna, R. K., In Plantation Trees, International Book Distributor, Dehradun, 2005, pp. 895–898.
  • Shukla, N. K., Singh, K. R. and Singh, R. S., A note on the physical and mechanical properties of Robinia pseudoacacia. Fraxinus spp. and Ailanthus spp. from Srinagar (J&K). Indian For., 1986, 112(2), 139–151.
  • Singh, H. P., Pandey, C. N. and Sharma, S. N., Studies on shrinkage behavior of Robinia pseudoacacia timber. Indian For., 1990, 116(10), 832–836.
  • Karestesi, B., Apiculture in forestry environment. In Eighth World Forestry Conference, Jakarta, 16–28 October 1978.
  • Rubin, B. D., Manion, P. D. and Faber-Langendoen, D., Diameter distributions and structural sustainability in forests. For. Ecol. Manage, 2006, 222, 427–438.
  • Nanos, N. and Montero, G, Geostatistical predictions of height/ diameter models. For. Ecol. Manage., 2002, 161, 147–158.
  • Thomas, N. L. and Cao, Q. V., A diameter distribution model for even aged beech in Denmark. For. Ecol. Manage., 2006, 231, 218–225.
  • Fallah, A., Zobeiry, M., Jaziriee, M. H. and Marvie, M., A study of tree distribution in Diameter classes in natural forest of Iran (case study: Liresara Forest). Iran. J. Nat. Resour., 2006, 53(3), 251–260.
  • Bullock, B. P. and Boone, E., Deriving tree diameter distributions using Bayesian models averaging. Nanos. For. Ecol. Manage., 2007, 242, 127–132.
  • Wang, M., Rennolls, K. and Tang, S., Bivariate distribution modeling of tree diameters and height: dependency modeling using copulas. For. Sci., 2008, 54(3), 284–229.
  • Amanzadeh, B., Sagheb-Talebi, K., Fadaei Khoshkebijari, F., Khanjani Shiraz, B. and Hemmati, A., Evaluation of different statistical distributions for estimation of diameter distribution within forest development stage in Shafaroud Beech stands. Iran. J. For. Poplar Res., 2011, 19(2), 254–257 (in Persian).
  • Bailey, R. L. and Dell, T. R., Quantifying diameter distributions with the Weibull function. For. Sci., 1972, 19, 97–104.
  • Amanzadeh, B., Investigation on structure, natural stand development stages and ecological characteristics of canopy gaps in mixed stands of Nav Forests, Asalem, Ph.D. thesis, Sari Agricultural Sciences and Natural Resources University, Mazandaran Province, Sari, Iran, 2015, p. 215.
  • Podlaski, R., Suitability of the selected statistical distributions for fitting diameter data in distinguished development stages and phases of near-natural mixed forests in the Swietokrzyski National Park (Poland). For. Ecol. Manage., 2006, 236, 393–402.
  • Khongor, Ts., Lin, C., Narangarav, D. and Tsogt, Z., Larch stand structure analysis of boreal forest in Mongolia. International Conference on Environmental Science and Technology (ICEST2011), Singapore. IACSIT Press, 2011, 6, 2123–2127.
  • Tsogt, K., Zandraabal, T. and Lin, C., Diameter and height distributions of natural even-aged pine forests (Pinus sylvestris) in Western Khentey, Mongolia. Taiwan J. For. Sci., 2013, 28(1), 29–41.
  • Humphrey, A. I. and Godwin, O. E., Modeling diameter distribution of the tropical rainforest in Oban Forest Reserve. J. Environ. Ecol., 2014, 5(2), 130–143 (in Nigerian).
  • Alijani, V., Vagheb-Talebi, K. and Akhavan, R., Quantifying structure of intact beech (Ficus orientalis Lipsky) stands at different development stages (case study: Kelardast area, Manzandaran)
  • stands. Iran. J. Forest Poplar Res., 2014, 21(3), 396–410.
  • Merganic, J. and Sterba, H., Characterization of diameter distribution using the Weibull function: method of moments. Eur. J. For Res., 2006, 125, 427–439.

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  • Evaluation of probability distribution functions applied to tree diameter in a mixed uneven Kiker (Robinia pseudoacacia) stand of Kashmir Himalaya, India

Abstract Views: 176  |  PDF Views: 83

Authors

Tariq H. Masoodi
Faculty of Forestry, Sher-e-Kashmir University of Agricultural Sciences and Technology of Kashmir (SKUAST-K), Benhama 191 202, India
Immad A. Shah
Division of Silviculture and Agroforestry, SKUAST-K, Ganderbal 191 201, India
Meraj U. Din Dar
Division of Silviculture and Agroforestry, SKUAST-K, Ganderbal 191 201, India
Parvez A. Sofi
Faculty of Forestry, Sher-e-Kashmir University of Agricultural Sciences and Technology of Kashmir (SKUAST-K), Benhama 191 202, India
Javeed A. Mugloo
Faculty of Forestry, Sher-e-Kashmir University of Agricultural Sciences and Technology of Kashmir (SKUAST-K), Benhama 191 202, India

Abstract


Probability distribution is of significance to predict tree distribution and estimate productivity in different ages as well as thinning out in forest stands to ensure optimized and stable stands. Statistical probability distributions, viz. lognormal, Weibull, exponential and gamma were used to fit tree-diameter data generated from the Manasbal forest stand of Kashmir Himalaya, India containing a heterogeneous population of trees with the objective to determine the best probability distribution of tree diameter. To estimate the parameters of the fitted distributions, the method of maximum likelihood was used. The various distributions were evaluated using different goodness-of-fit tests, viz. Kolmogorov–Smirnov, Cramer–von Mises and Anderson–Darling statistics, and the best distribution pertaining to the forest stand was ascertained. Lognormal distribution fitted the data well and could be used in modelling, planning and scheduling the forest stand in the study region.

Keywords


Diameter class, goodness-of-fit statistics, forest stands, probability distribution function, Robinia pseudoacacia.

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DOI: https://doi.org/10.18520/cs%2Fv121%2Fi4%2F573-577