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Estimation of volume, total and projected area of Scots pine needles from their regression on length

机译:苏格兰松针长度的回归估计其体积,总面积和预计面积

摘要

Breadth, thickness, perimeter and area of serial transverse sections (TS) of Scots pine (Pinus sylvestris L.) needles from non-fertilised (0) and combined NPK-fertilised (F) and irrigated fertilised (IL) trees of northern Swedish origin were measured by projection microscopy. The accuracy and precision of the method were analysed. Regressions of the above characters and of total (A,) and projected (A,) area and volume on the length of single needles were calculated, to make possible their non-destructive estimation from length. Needles were semi-fusiform, rather than semi-cylindrical, as is assumed for some conversion factors from projected to total area. The assumption of a semi-cylindrical form caused total needle area to be systematically overestimated. The mean basic dimensions of the longer (F, IL) needles exceeded those of (0) needles: breadth by 11%, thickness by 21%, TS area by 32% and perimeter by 9%. Regressions of A, and A, on length were linear over the range 15-70 mm; that of volume was curvilinear. Both (0) and (F, IL) needles lay on the same regression line. Joint regressions gave estimates of mean A, mean A and mean volume having 95% confidence limits of (2.3, (2 .0 and (4.4%, respectively. Comparisons with published sources suggest that the regressions should be applicable outside the range of northern morphological types within Scandinavia, but that overestimates of area and volume may occur if they are applied to material of Central European origin.
机译:来自瑞典北部的未施肥(0)和NPK施肥(F)和灌溉施肥(IL)的苏格兰松树(Pinus sylvestris L.)针的连续横截面(TS)的宽度,厚度,周长和面积通过投影显微镜检查。分析了该方法的准确性和准确性。计算上述特征以及总面积(A,)和投影面积(A,)在单根针的长度上的回归,以便从长度上进行无损估计。针是半梭形的,而不是半圆柱形的,这是某些从投影到总面积的转换因子所假定的。半圆柱形的假设导致总针头面积被系统地高估。较长(F,IL)针的平均基本尺寸超过(0)针的平均尺寸:宽度增加11%,厚度增加21%,TS面积增加32%,周长增加9%。 A和A在长度上的回归在15-70 mm范围内是线性的;体积的曲线是曲线的。 (0)和(F,IL)针都位于同一回归线上。联合回归给出了平均A,平均A和平均体积的估计值,分别具有(2.3,(2.0和(4.4%)的95%置信度。类型在斯堪的纳维亚半岛,但如果将它们应用于中欧原产地,则可能会高估面积和体积。

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