Nonlinear Statistical Model for Characterizing Culm Growth of Bambusa cacharensis

Gitasree Das, Arun Jyoti Nath, Ashesh Kumar Das

Abstract


Bambusa cacharensis R.Majumder, locally known as betua, is an important village bamboo species in the Barak valley  of Assam, India. Villagers prefer to grow this species in their home gardens because of its multiple uses and having straight culm. The study on growth pattern of bamboos is important for  proper scientific management to obtain optimum yield. In this article nonlinear statistical models are used to characterise the culm height of B. cacharensis growing in clumps of different age groups (2-40 years). The adequacy of the models is judged by testing the validity of the assumptions of randomness and normality of residuals. Gompertz model with additive and AR (1) error structure is found to be the most suitable model for characterizing the culm growth of B. cacharensis.  The physical interpretation of the parameters is also discussed. Each growth curve may be summarized by its parameter estimates as a single low-dimensional multivariate observation as (k, q, r, a). These observations may then be subjected to an analysis of variance. Wilk’s Lambda test confirms significant difference between the growth parameters of bamboo culms for clumps of different age groups. Finally, Hotelling T2 statistic and one-way analysis of variance of k-values was used to find out the best clump age group on the basis of growth parameters.

Keywords


Bamboo Culm; Bamboo Clump; Growth Model; Nonlinear; Gompertz; Wilk’s Lambda; Hotelling t2.

References


Chatterjee, S. and Price, B. 1977. Regression Analysis by Example. John Wiley and Sons, New York. 228 pages.

Das, G.; Das, A.K. and Nandy, S. 2006. Nonlinear Statistical Model for Culm Growth of Muli Bamboo- Melocanna baccifera. International Journal of Ecology and Environmental Sciences 32: 221-225.

Draper, N.R. and Smith, H. 1981. Applied Regression Analysis. John Wiley and Sons, New York. 709 pages.

Gore, A.P. and Paranjpe, S.A. 2000. A Course on Mathematical and Statistical Ecology. Kluwer Academic Publishers, Dordrecht. 288 pages.

Hills, M. 1974. Statistics for Comparative Studies. Chapman and Hall, London. 194 pages.

Nandy, S.; Das, A.K. and Das, G. 2004. Phenology and culm growth of Melocanna baccifera (Roxb.) Kurz in Barak Valley, North-East India. Journal of Bamboo and Rattan 3: 27 - 34.

Nath, A.J.; Das, G. and Das, A.K. 2004. Phenology and Culm Growth of Bambusa cacharensis R. Majumdar in Barak Valley, Assam, North-East India. Bamboo Science & Culture (The Journal of American Bamboo Society) 18: 19-23.

Nath, A.J.; Das, G. and Das, A.K. 2006. Population structure and culm production of bamboos under traditional harvest regimes in Assam, Northeast India. Journal of Bamboo and Rattan 5(1&2): 91-100.

Nath, A.J.; Das, G. and Das, A.K. 2007. Culm characteristics and population structure of dolu bamboo (Schizostachyum dullooa (Gamble) Majumder) in Barak Valley, Northeast India, the need for conservation and implications for management. Bamboo Science & Culture (The Journal of American Bamboo Society) 20(1): 15-20.

Richards, F.J. 1959. A flexible growth function for empirical use. Journal of Experimental Botany 10: 290-300.

Seber, G.A.F. and Wild, C.J. 1989. Nonlinear Regression. John Wiley, New York. 768 pages.

Venugopalan, R. and Prajneshu. 1997. A generalized allometric model for determining length-weight relationship. Biometrical Journal 39: 733-739.


Full Text: PDF

Refbacks

  • There are currently no refbacks.


Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.

COPYRIGHT of this Journal vests fully with the National Instional Institute of Ecology. Any commercial use of the content on this site in any form is legally prohibited.