Research Journal of Environmental Sciences1819-34122152-8238orgz10.3923/rjes.2009.427.438FaravaniM.BakiB.B.KatoShogoShimizuK.SimC.H.4200934The ensuing plant branching patterns were studied at
three planting densities 1, 2 and 3 plants per wooden box, raised until
maturity. Circular statistics were used to represent the evolving spatial
distribution of branches along density gradients of the translation with
certain assumptions. The position of each branch was characterized by
three parameters: horizontal rotation (φ), vertical rotation (θ)
and translation. The values of φ were measured within 45° angle
using a circular protractor, divided into 8 angular sectors oriented clockwise,
while φ was measured from the geographical north direction (0°).
The translation was registered from 1 to 5 categories. The distribution
φ was uniform, but the distribution θ was non uniform. The former
was distributed symmetrically in plants at densities 1, 2 and 3 with respective
mean direction values of 52.3°, 47.8° and 41.8°. The mean
direction of the angle θ was different between plants at different
densities and translations, whereby branches became progressively more
erect with increasing density regimes from 1 to 3 and from the base to
the top of the canopy. The registered mean direction of each translation
from 1 up to 5 from the base were 60.2°, 49.7°, 40.1°, 30.5°
and 22.5°, respectively.]]>Baki, H.B.,2004Batschelet, E.,1981Zar, J.H.,1998Saudreau, M., H. Sinoquet, O. Santin, A. Marquier and B. Adam et al.,2007Rudnicki, M., U. Silins, V.J. Lieffers and G. Josi,2001Rock, J., K.J. Puettmann, H.A. Gockel and A. Schulte,2004Betula pendula L.) on growth and quality of young oaks (Quercus spp.) in central Germany.]]>Borchert, R. and N.A. Slade,1981Brisson, J. and J.F. Reynolds,1994Larrea tridentata) population.]]>Neufeld, H.S., F.C. Meinzer, C.S. Wisdom, M.R. Sharifi and P.W. Rundel et al.,1988Larrea trident at a (DC.) Co v., a desert shrub: Foliage orientation and direct beam radiation interception.]]>Muth, C.C. and F.A. Bazzaz,2002Caplat, P., M. Anand and C. Bauch,2008Chelle, M.,2006Meyer, K.,2001Cornelissen, T. and P. Stiling,2008Jammalamadaka, S.R. and A. Sengupta,2001Drouet, J.L. and B. Moulia,1997Ezcurra, E., C. MontaĆ±a and S. Arizaga,1991Larrea species in the Monte Desert, Argentina.]]>Fisher, N.I.,1993Gatto, R. and S.R. Jammalamadaka,2007Getzin, S., C. Dean, F. He, J.A. Trofymow, K. Wiegand and T. Wiegand,2006Getzin, S. and K. Wiegand,2007Mardia, K.V. and P.E. Jupp,2000Girardin, P. and M. Tollenaar,1994Maddonnia, G.A., M. Chelleb, J.L. Drouetb and B. Andrieub,2001Kropff, M.J. and P.C. Struik,2002Halle, F., R.A.A Oldeman and P.B. Tomlinson,1978Judd, W.S.,1986Harper, J.L.,1977