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We derive a two-way volume equation for estimating the apparent culm volume of one of the largest bamboo species, Phyllostachys pubescens Mazel ex Houz. The volume equation was derived from the assumptions that (1) the relative culm form can be expressed by Kunze's equation and (2) normal form-factors at two different relative heights are steady at constants independent of culm sizes. A total number of 200 sample culms were collected from a stand of P. pubescens in Mt. Toshima, Kumamoto Prefecture, western Japan, and were randomly bisected into two sets of data, i.e. modeling and test data. For the modeling data, normal form-factors at 0.6 and 0.9 in relative height were steady at 0.908 and 0.448, respectively. The coefficients of the volume equation were determined based on these steady values of the normal form-factors. For the test data, the apparent culm volume was estimated from diameter at breast height and culm height with the determined volume equation. The mean error and root mean square error of the estimated culm volume were, respectively, 8.120 9 10 -5 and 3.291 9 10 -3 m 3 , and there was no significant difference between estimated and actual volume. In conclusion, the two-way volume equation presented here appears to be convenient for predicting the apparent culm volume for P. pubescens.

We determined the reduction factor for the woody part of culm for one of the largest bamboo species, Phyllostachys pubescens Mazel ex Houz. The determined reduction factor enables us to convert the cross-sectional area of the whole culm into that of the culm wall. We collected 650 cross-cutting sample culms from a stand of P. pubescens in Mt. Toshima, Kumamoto Prefecture, western Japan. For the cut-end surface, the external culm diameter and culm wall thickness were measured, and then the cross-sectional area of the whole culm and the culm wall were computed. The cross-sectional area of the culm wall was strongly correlated with that of the whole culm. The regression analysis between these cross-sectional area indicated that the reduction factor for P. pubescens was 0.311, independent of the magnitude of the cross-sectional area. The independence implied that the determined reduction factor could be directly applied to convert the apparent culm volume into wood volume. Implications of the reduction factor for estimating transpiration and carbon stock of P. pubescens stands were discussed. The Monte Carlo simulation revealed that at least, but not more than, 60-70 cross-cutting culms collected from 20 culms are necessary for the reduction factor when estimating the stand level transpiration and carbon stock.

We determine the relationships of culm surface area to other culm dimensions for one of the largest bamboo species, Phyllostachys pubescens Mazel ex Houzeau de Lehaie. A total number of 150 sample culms were collected from a stand of P. pubescens in Mt. Toshima, Kumamoto Prefecture, western Japan. The culm surface area for each sample was calculated, and then the relationships of the culm surface area to basal area and product of diameter at breast height (dbh) and culm height were analyzed. The relationship between culm surface area and basal area could be described successfully by the power equation, whereas there was a linear relationship of culm surface area to product of dbh and height. Although the regression equations determined here would be useful in estimating culm surface area of P. pubescens, it is necessary to select an appropriate equation depending on the purpose and available time and labor.

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