This paper presents a new effcient algorithm for exactly computing the halfspace depth contours based on the idea of a circular sequence. Unlike the existing methods, the proposed algorithm segments the unit sphere di...This paper presents a new effcient algorithm for exactly computing the halfspace depth contours based on the idea of a circular sequence. Unlike the existing methods, the proposed algorithm segments the unit sphere directly relying on the permutations that correspond to the projections of observations onto some unit directions, without having to use the technique of parametric programming.Some data examples are also provided to illustrate the performance of the proposed algorithm.展开更多
We estimated the growth volume of artificially reforested Pinus densiflora in a post-fire area on three different contour conditions by comparing and analyzing the vertical and horizontal distributions of below-ground...We estimated the growth volume of artificially reforested Pinus densiflora in a post-fire area on three different contour conditions by comparing and analyzing the vertical and horizontal distributions of below-ground roots on each contour. The main roots at the south-facing slope (SS) developed in a long and straight form, and those on the north-facing slope (NS) in a twisted form. The side roots developed more than the main roots on the Ridge. The depth of taproots decreased in the following order: SS > NS > Ridge. The roots on the SS developed in a pile-form root structure whereas those in the Ridge and NS developed concentrically near the root collar. The amount of root development decreased in the following order: SS > NS > Ridge. The ratio of fine roots from the whole-root development decreased in the following order: Ridge > SS > NS. These results can guide considerations of growth differences according to the planting contour conditions for future establishment of P. densiflora artificial plantations.展开更多
基金supported by the National Natural Science Foundation of China under Grant No.11461029the Natural Science Foundation of Jiangxi Province under Grant Nos.20142BAB211014+5 种基金20132BAB21101520122BAB20102320133BCB23014the Youth Science Fund Project of Jiangxi provincial education department under Grant Nos.GJJ14350GJJ14449KJLD13033
文摘This paper presents a new effcient algorithm for exactly computing the halfspace depth contours based on the idea of a circular sequence. Unlike the existing methods, the proposed algorithm segments the unit sphere directly relying on the permutations that correspond to the projections of observations onto some unit directions, without having to use the technique of parametric programming.Some data examples are also provided to illustrate the performance of the proposed algorithm.
基金supported by a research Grant from Yeungnam University in 2015the National Research Foundation of Korea Grant(NRF No.2016M3C1B6929073)funded by the Ministry of Science,ICT and Future Planning of the Republic of Korea
文摘We estimated the growth volume of artificially reforested Pinus densiflora in a post-fire area on three different contour conditions by comparing and analyzing the vertical and horizontal distributions of below-ground roots on each contour. The main roots at the south-facing slope (SS) developed in a long and straight form, and those on the north-facing slope (NS) in a twisted form. The side roots developed more than the main roots on the Ridge. The depth of taproots decreased in the following order: SS > NS > Ridge. The roots on the SS developed in a pile-form root structure whereas those in the Ridge and NS developed concentrically near the root collar. The amount of root development decreased in the following order: SS > NS > Ridge. The ratio of fine roots from the whole-root development decreased in the following order: Ridge > SS > NS. These results can guide considerations of growth differences according to the planting contour conditions for future establishment of P. densiflora artificial plantations.
