• Title/Summary/Keyword: Dispersion coefficient

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A Study on the Physical Status, Physical Type and the Growth of Korean Middle and High School Boys (한국인 중.고등학생의 체격, 체형 및 그 성장에 관한 연구)

  • Lee, Young-Choon;Kim, Chong-Suk;Park, Hi-Myung;Chae, E-Up;Choo, Young-Eun;Lee, Yung-Chang;Ryoo, Ho-Yul;Kim, Kyu-Soo;Kim, Chung-Muk;Choi, Kyung-Sook;Lee, Yeoul-Hi;Lee, Tae-Ho;Woo, Won-Hyung;Shin, Hyun-Chan;Park, Won-Hark
    • The Korean Journal of Physiology
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    • v.4 no.1
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    • pp.29-46
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    • 1970
  • Measurement and analysis of the physical status (height, body weight, breast girth, sitting height. length of leg, length of thigh, thigh girth, crural length, length of arm, brachial length, antebrachial girth and skinfold thickness), physical types and the growth were made to the 360 Korean middle and high school boys aged between 12 and 17 years in Taegu City. The physical status was evaluated and expressed as dispersion and the Physical type as percentage of each status to height, and the growth was analysed by the growth formula. The results are as follows; 1) The increase of the volumes of Physical status was slowest between 12 and 13 years and fastest between 13 and 14 years in general. 2) The increase of the volumes of thigh girth and antebrachial girth showed a linear pattern until 16 years. 3) The coefficient of variation was largest in skinfold thickness $(16.3{\sim}28.4%)$ followed by body weight $(10.0{\sim}14.3%)$, antebrachial girth $(4.8{\sim}19.60%)$ and length of thigh$(6.3{\sim}13.6%)$. The coefficients of variation in all the other status were similar $(4{\sim}7%)$. 4)The physical indices of body weight, breast girth, sitting height, length of thigh, thigh girth, antebrachial girth and skinfold thickness increased as age increased while the others decreased except the brachial length, which showed no significant change. 5) Ratio of growth quantity was largest in body weight followed by skinfold thickness, and the others were all similar. 6) Growth rate and specific growth rate decreased in the all the status analysed as age increased except in the skinfold thickness in which an increase was noted. 7) Growth gradient was increased along the increase of age in breast girth, sitting height, crural length, brachial length and in skinfold thickness. However a decrease was observed in the other status except in the body weight which was decreased until 15 years of age and increased thereafter.

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Preferential Flow as Tested by Breakthrough Curves of Cl- and Cu2+ from Saturated Undisturbed Soil Core Samples under Steady Flow Conditions (포화 불교란 토양시료의 Cl- 및 Cu2+ 출현곡선에 의한 preferential flow의 검증)

  • Yoo, Sun-Ho;Han, Kyung-Hwa;Ro, Hee-Myong;Han, Gwang-Hyun
    • Korean Journal of Soil Science and Fertilizer
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    • v.33 no.2
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    • pp.71-78
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    • 2000
  • Preferential flow has recently been the subject of increasing interest because these phenomena contribute to solute transport in soils. Commonly, preferential flow paths are associated with macropores or highly structured soils. We presented an analysis of the measured breakthrough curves (BTCs) of $Cl^-$ and $Cu^{2+}$ ions to test the occurrence of preferential flow in soils using miscible displacement technique under steady flow conditions. We also analyzed soil water retention curves and from this curves induced cumulative pore size distribution of undisturbed soils, which sampled from Ap1, B1, and C horizons of Songjeong series soils (the fine loamy, mesic family of Typic Hapludults). In this study, miscible displacement experiment on C horizon was excluded, because it is structureless sandy loam with saturated hydraulic conductivity of $5.2cmhr^{-1}$. The saturated hydraulic conductivity of Ap1 horizon was $2.0cmhr^{-1}$, which was about 7 times higher than that of B1 horizon ($0.27cm hr^{-1}$). Cumulative pore size distribution predicted that Ap1 horizon had more macropores (pore diameter larger than $49{\mu}m$, equivalent to -6 kpa of soil matric potential) than B1 horizon. The hydrodynamic dispersion coefficient from chloride BTCs was estimated as $1.3cm^2hr^{-1}$ for B1 and $34cm^2hr^{-1}$ for Ap1 horizon. However the retardation factors of B1 and Ap1 horizon were significantly different, i.e. 1 and 0.6, respectively, which means that there was distinct partition between mobile water and immobile phase in Ap1 horizon. The copper retardation effect of Ap1 horizon was less than that of B1 horizon, even though cation exchange capacity of Ap1 horizon was higher than that of B1 horizon. Thus, breakthrough curves of $Cl^-$ and $Cu^{2+}$ obviously showed the probability that preferential flow would occur in Ap1 horizon.

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An Analytical Study on the Stem-Growth by the Principal Component and Canonical Correlation Analyses (주성분(主成分) 및 정준상관분석(正準相關分析)에 의(依)한 수간성장(樹幹成長) 해석(解析)에 관(關)하여)

  • Lee, Kwang Nam
    • Journal of Korean Society of Forest Science
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    • v.70 no.1
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    • pp.7-16
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    • 1985
  • To grasp canonical correlations, their related backgrounds in various growth factors of stem, the characteristics of stem by synthetical dispersion analysis, principal component analysis and canonical correlation analysis as optimum method were applied to Larix leptolepis. The results are as follows; 1) There were high or low correlation among all factors (height ($x_1$), clear height ($x_2$), form height ($x_3$), breast height diameter (D. B. H.: $x_4$), mid diameter ($x_5$), crown diameter ($x_6$) and stem volume ($x_7$)) except normal form factor ($x_8$). Especially stem volume showed high correlation with the D.B.H., height, mid diameter (cf. table 1). 3) (1) Canonical correlation coefficients and canonical variate between stem volume and composite variate of various height growth factors ($x_1$, $x_2$ and $x_3$) are ${\gamma}_{u1,v1}=0.82980^{**}$, $\{u_1=1.00000x_7\\v_1=1.08323x_1-0.04299x_2-0.07080x_3$. (2) Those of stem volume and composite variate of various diameter growth factors ($x_4$, $x_5$ and $x_6$) are ${\gamma}_{u1,v1}=0.98198^{**}$, $\{{u_1=1.00000x_7\\v_1=0.86433x_4+0.11996x_5+0.02917x_6$. (3) And canonical correlation between stem volume and composite variate of six factors including various heights and diameters are ${\gamma}_{u1,v1}=0.98700^{**}$, $\{^u_1=1.00000x_7\\v1=0.12948x_1+0.00291x_2+0.03076x_3+0.76707x_4+0.09107x_5+0.02576x_6$. All the cases showed the high canonical correlation. Height in the case of (1), D.B.H. in that of (2), and the D.B.H, and height in that of (3) respectively make an absolute contribution to the canonical correlation. Synthetical characteristics of each qualitative growth are largely affected by each factor. Especially in the case of (3) the influence by the D.B.H. is the most significant in the above six factors (cf. table 2). 3) Canonical correlation coefficient and canonical variate between composite variate of various height growth factors and that of the various diameter factors are ${\gamma}_{u1,v1}=0.78556^{**}$, $\{u_1=1.20569x_1-0.04444x_2-0.21696x_3\\v_1=1.09571x_4-0.14076x_5+0.05285x_6$. As shown in the above facts, only height and D.B.H. affected considerably to the canonical correlation. Thus, it was revealed that the synthetical characteristics of height growth was determined by height and those of the growth in thickness by D.B.H., respectively (cf. table 2). 4) Synthetical characteristics (1st-3rd principal component) derived from eight growth factors of stem, on the basis of 85% accumulated proportion aimed, are as follows; Ist principal component ($z_1$): $Z_1=0.40192x_1+0.23693x_2+0.37047x_3+0.41745x_4+0.41629x_5+0.33454x_60.42798x_7+0.04923x_8$, 2nd principal component ($z_2$): $z_2=-0.09306x_1-0.34707x_2+0.08372x_3-0.03239x_4+0.11152x_5+0.00012x_6+0.02407x_7+0.92185x_8$, 3rd principal component ($z_3$): $Z_3=0.19832x_1+0.68210x_2+0.35824x_3-0.22522x_4-0.20876x_5-0.42373x_6-0.15055x_7+0.26562x_8$. The first principal component ($z_1$) as a "size factor" showed the high information absorption power with 63.26% (proportion), and its principal component score is determined by stem volume, D.B.H., mid diameter and height, which have considerably high factor loading. The second principal component ($z_2$) is the "shape factor" which indicates cubic similarity of the stem and its score is formed under the absolute influence of normal form factor. The third principal component ($z_3$) is the "shape factor" which shows the degree of thickness and length of stem. These three principal components have the satisfactory information absorption power with 88.36% of the accumulated percentage. variance (cf. table 3). 5) Thus the principal component and canonical correlation analyses could be applied to the field of forest measurement, judgement of site qualities, management diagnoses for the forest management and the forest products industries, and the other fields which require the assessment of synthetical characteristics.

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