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Volume Table of Raintree (samanea Saman) in Bangladesh by Regression Technique

Sheikh Sirajul Islam
Department of Business Administration, International Islamic University Chittagong, Chittagong, Bangladesh

Jonaed Kabir
Department of Business Administration, International Islamic University Chittagong, Chittagong, Bangladesh

Abdul Kadar Muhammad Masum
Department of Business Administration, International Islamic University Chittagong, Chittagong, Bangladesh

Abstract/ Executive Summary:

Raintree (Samanea saman) is a multipurpose village tree species grown in abundance at southern and northern regions of Bangladesh. Village people need to know estimation procedure for timber inventory of this useful tree species. Data on diameter at breast height (diameter) and total height (height) of 205 standing sample trees were collected by Spiegel relascope for the purpose. The sample trees with diameter ranging 21 cm - 91 cm and height ranging 10 m - 20 m were considered for measurement. Volumes (m3 ) of individual trees were computed by Smalian formula. A total of 10 linear models of volume on diameter and volume (V) on diameter (D) and height (H) were examined with the sample trees. A few statistics of F, t, mean square error, multiple correlation coefficient and Furnivall Index was computed and tested for investigation of best-fitted models. The two models of In(V) = 8.3023 + 2.1746 In(D) and In(V) = –9.1864 + 1.85502 In(D) + 0.8234 In(H) were found to be best fitted models. They have been recommended to estimate volume of large scale standing Raintree trees.

Keywords: Volume Table; Raintree; Regression Technique; Profitable

Location: In Bangladesh

Start Date:

End Date:

Program Area: Development of Host and Medicinal Plants

Commodity: Rain tree

Objectives:

In view of above discussions the present study is undertaken to establish best relation of volume vs. diameter (one-way volume table) and volume vs diameter and height (two-way volume table) for Raintree planted in both village areas and forest land by multiple regression analysis.

Methodology:

A data collection sheet was developed for recording data of Raintree. Since it was not technically feasible to cut standing Raintree trees in the villages, it was decided to measure the standing trees. A team of two persons were engaged for recording measurement of the sample standing trees. One person measured the trees and another person recorded data in the sheet. The total height of a tree in the sample was first measured by Spiegel relascope instrument and was recorded in the sheet. Diameter at breast height of the tree was measured in cm by a diameter tape. Diameters at every 10 ft height and at height of the top log with 8 inch diameter were measured by the same relascope instrument. Diameter at two ends of branch logs was also measured by relascope. Branches with minimum 8” top diameter were recorded in remarks column of the sheet. The sample trees having 23% branchy trees were considered. The species was identified easily in the field. In this way data of a sample of 205 trees were recorded in the sheets. Measurement error due to instrumental error as well handling error was reduced by fixing up the instrument properly through actual measurement of a few trees by climbing or felling. A stand table showing an average of 25 trees per diameter class and an average of 35 trees per height class.

The regression equation through the selection tests such as F-test, t-test, coefficient of determination (R2 ), mean square error (MSE) and Furnivall Index (FI) were examined. Furnivall Index is estimated through multiplying square root of the residual mean square of a volume regression by geometric mean of the weight of the dependent variable [8]. It was first developed by Furtively in 1961 for weighted models [9]. The best regression equations were selected and particularly, the best models of volume-diameter (One-Way Volume Table) and volume-diameter-height (Two way volume table) may be used to compute volume of standing raintree trees as per requirement.

Source of Information: Open Journal of Statistics, 2012, 2, 115-119

Article Link (Online Journal): http://dx.doi.org/10.4236/ojs.2012.21012

Funding Source:

Budget:

Total Budget (Tk.) :

Achievement/Findings:

The volume table prepared on the basis of this volume-diameter-height model is called two way volume tables. Actual volume of same sample felled trees measured for verification during data collection was calculated. This calculated volume was compared with the estimated volume taken from both one-way volume table and two-way volume table. It is found that the estimated volume is almost same as the actual volume of Raintree trees. Therefore, the two volume tables may be used to compute volume of standing Raintree trees.

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