The use
of probability distribution functions for describing tree diameter at breast
height provides useful information for forest resource evaluation and
quantification. A series of probability distribution functions have been widely developed
and applied for managing forest trees in conventional forest reserves without
much consideration for trees outside forest reserves. The aim of this study is
to evaluate and propose a suitable probability distribution function
for trees in Agricultural landscapes. The study examined 3-parameter lognormal, Lognormal, 3-parameter Gamma, Gamma, 3-parameter
Weibull and Weibull distribution functions, using the Maximum Likelihood method for fitting tree diameter
at breast height. Three hundred and thirty-two temporary farmlands were
randomly selected from which stem diameter of all living trees, with diameter ≥
10.0 cm, were measured. Results of the statistical analysis showed that the 3-parameter lognormal
distribution gave a superior description of the stem diameter with the least values of Anderson Darling (1.627) and Akaike
Information Criterion (5962.0) statistics. Hence, the 3-parameter lognormal distribution function was
found suitable for the stem diameter of trees in Agricultural landscapes in the study area.
References
[1]
Aigbe, H. I., & Omokhua, G. E. (2014). Modeling Diameter Distribution of the Tropical Rainforest in Oban Forest Reserve. Journal of Environment and Ecology, 5, 130-143. https://doi.org/10.5296/jee.v5i2.6559
[2]
Akanni, C. O. (2000). Physical Environment. In S. O. Onakomaiya, O. O. Odugbemi, O. O. Oyesiku, & I. A. Ademiluyi (Eds.), Ogun State: Local and Regional Perspectives (pp. 14, 26). Centre for Sandwich Programmes (CESAP), Olabisi Onabanjo University.
[3]
Alo, A. A., Chukwu, O., & Ogunleye, B. C. (2017). Comparison of Four Distribution Functions for Fitting Diameter in Second Rotation Tectona grandis Linn. F. Plantations in Eda Forest Reserve, Nigeria. Forests and Forest Products Journal, 10, 15-26. https://doi.org/10.31357/jtfe.v7i2.3307
[4]
Aristizabal, R. J. (2012). Estimating the Parameters of the Three-Parameter Lognormal Distribution (pp. 1-46). FIU Electronic Theses and Dissertations, Florida International University.
[5]
Arnold, J. E. M. (1997). Framing the Issues. In J. E. M. Arnold, & P. A. Dewees (Eds.), Farms, Trees and Farmers: Responses to Agricultural Intensification (pp. 1-17). Earthscan.
[6]
Bliss, C. I., & Reinker, K. A. (1964). A Lognormal Approach to Diameter Distributions in Even-Aged Stands. Forest Science, 10, 350-360.
[7]
Burkhart, H. E., & Tomé, M. (2012). Modeling Forest Trees and Stands. Springer Science & Business Media. https://doi.org/10.1007/978-90-481-3170-9
[8]
Etter, A. (1991). Introducción a la ecología del paisaje: Un marco de integracion para los levantamietos ecologicos.
[9]
Ezenwenyi, J. U., Oladoye, A. O., Chukwu, O., & Basiru, A. O. (2018). Diameter Distribution of Nauclea diderrichii (D Wild) Merr. Plantations in a Restricted Tropical Rainforest of Nigeria. Journal of Research in Forestry, Wildlife and Environment, 10, 25-32.
[10]
FAO (2001). Global Forest Resources Assessment 2000. Main Report, FAO Forestry Paper 140, Food and Agriculture Organization of the United Nations. http://www.fao.org/3/i1757e/i1757e.pdf
[11]
Hilbe, J. M., & Robinson, A. P. (2013). Methods of Statistical Model Estimation. CRC Press.
[12]
Krishnamoorthy, K. (2006). Handbook of Statistical Distributions with Applications (346 p.). Taylor and Francis. https://doi.org/10.1201/9781420011371
[13]
Meyer, H. A. (1952). Structure, Growth, and Drain in Balanced Uneven-Aged Forests. Journal of Forestry, 50, 85-92.
[14]
Nanang, D. M. (1998). Suitability of the Normal, Log-Normal and Weibull Distributions for Fitting Diameter Distributions of Neem Plantations in Northern Ghana. Forest Ecology and Management, 103, 1-7. https://doi.org/10.1016/S0378-1127(97)00155-2
[15]
NBS (2009). Facts and Figures about Nigeria. National Bureau of Statistics.
[16]
OGADEP (1998). Ogun State Agricultural Development Program (6 p.). Annual Project Report.
[17]
Palahi, M., Pukkala, T., Blasco, E., & Trasobares, A. (2007). Comparison of Beta, Johnson’s SB, Weibull and Truncated Weibull Functions for Modeling the Diameter Distribution of Forest Stands in Catalonia (North-East of Spain). European Journal of Forest Research, 126, 563-571. https://doi.org/10.1007/s10342-007-0177-3
[18]
Sinclair, F. (1999). A General Classification of Agroforestry Practice. Agroforestry Systems, 46, 161-180. https://doi.org/10.1023/A:1006278928088
[19]
Wackerly, D., Mendenhall, W., & Scheaffer, R. L. (2014). Mathematical Statistics with Applications (pp. 444-470). Cengage Learning.
[20]
Weibull, W. A. (1951). Statistical Distribution Functions of Wide Applicability. The Journal of Applied Mechanics, 18, 293-297. https://doi.org/10.1115/1.4010337
[21]
West, P. W., & West, P. W. (2009). Tree and Forest Measurement (Vol. 20). Springer. https://doi.org/10.1007/978-3-540-95966-3
[22]
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 Journal of Forest Research, 33, 1340-1347. https://doi.org/10.1139/x03-054