• Title/Summary/Keyword: Correlation Coefficient($\gamma$)

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Gamma-ray Exposure Rate Monitoring by Energy Spectra of NaI(Tl) Scintillation detectors

  • Lee, Mo Sung
    • Journal of Radiation Protection and Research
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    • v.42 no.3
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    • pp.158-165
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    • 2017
  • Background: Nuclear facilities in South Korea have generally adopted pressurized ion chambers to measure ambient gamma ray exposure rates for monitoring the impact of radiation on the surrounding environment. The rates assessed with pressurized ion chambers do not distinguish between natural and man-made radiation, so a further step is needed to identify the cause of abnormal variation. In contrast, using NaI(Tl) scintillation detectors to detect gamma energy rates can allow an immediate assessment of the cause of variation through an analysis of the energy spectra. Against this backdrop, this study was conducted to propose a more effective way to monitor ambient gamma exposure rates. Materials and Methods: The following methods were used to analyze gamma energy spectra measured from January to November 2016 with NaI detectors installed at the Korea Atomic Energy Research Institute (KAERI) dormitory and Hanbat University. 1) Correlations of the variation of rates measured at the two locations were determined. 2) The dates, intervals, duration, and weather conditions were identified when rates increased by $5nSv{\cdot}h^{-1}$ or more. 3) Differences in the NaI spectra on normal days and days where rates spiked by $5nSv{\cdot}h^{-1}$ or more were studied. 4) An algorithm was derived for automatically calculating the net variation of the rates. Results and Discussion: The rates measured at KAERI and Hanbat University, located 12 kilometers apart, did not show a strong correlation (coefficient of determination = 0.577). Time gaps between spikes in the rates and rainfall were factors that affected the correlation. The weather conditions on days where rates went up by $5nSv{\cdot}h^{-1}$ or more featured rainfall, snowfall, or overcast, as well as an increase in peaks of the gamma rays emitted from the radon decay products of $^{214}Pb$ and $^{214}Bi$ in the spectrum. This study assumed that $^{214}Pb$ and $^{214}Bi$ exist at a radioactive equilibrium, since both have relatively short half-lives of under 30 minutes. Provided that this assumption is true and that the gamma peaks of the 352 keV and 1,764 keV gamma rays emitted from the radionuclides have proportional count rates, no man-made radiation should be present between the two energy levels. This study proved that this assumption was true by demonstrating a linear correlation between the count rates of these two gamma peaks. In conclusion, if the count rates of these two peaks detected in the gamma energy spectrum at a certain time maintain the ratio measured at a normal time, such variation can be confirmed to be caused by natural radiation. Conclusion: This study confirmed that both $^{214}Pb$ and $^{214}Bi$ have relatively short half-lives of under 30 minutes, thereby existing in a radioactive equilibrium in the atmosphere. If the gamma peaks of the 352 keV and 1,764 keV gamma rays emitted from these radionuclides have proportional count rates, no man-made radiation should exist between the two energy levels.

Relation Bettween the Maximum Dry Density and Optimum Moisture Content and Natural Moisture Content of Soils (흙의 최대건조밀도 및 최적함수비와 자연함수비의 상관성에 대하여 -동부, 남부지방을 중심으로-)

  • 이정전
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.16 no.3
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    • pp.3539-3542
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    • 1974
  • Maximum density and optimum moisture content of a soil may be one of the very important properties to be specified in the design of earth structures and their works. However, the determination of these soil properties may not be done without the necessary equipment and time-consuming field tests. This study was conducted to develop an easier method by determing the relations between the natural moisture content and optimum moisture content and between maximum density and optimum moisture content so determined. These velations are remarkably defferent according to the areas where the samples were taken, and thus analysis of the experimental results are shown by regions as follows: Eastern Districs:{{{{Tdmax= { 1} over {0.0090Wopt+0.417 } ( delta = +- 0.042, gamma =0.92) Wopt=0.251WN+8.5( delta = +- 2.41%, gamma =0.87) }}}} Southern Districts: {{{{Tdmax= { 1} over {0.0088Wopt+0.412 } (delta = +- 0.083, gamma =0.89) Wopt=0.332WN+8.42(delta = +- 3.41%, gamma =0.84)}}}}Central Districtsl1): {{{{Tdmax= { 1} over {0.0112Wopt+0.383} ( delta = +- 0.052, gamma =0.97) Wopt=0.758WN+2.606( delta = +- 4.72%, gamma =0.79)}}}}($\delta$:Standard Deviation, ${\gamma}$:Correlation Coefficient)

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A Study on the Prediction of Maximum Dry Density and Optimum Moisture Content in Soil Compaction (흙의 다짐에 있어서 최대건조밀도(最大乾燥密度)와 최적함수비(最適含水比)의 추정(推定)에 대(對)하여)

  • Kang, Yea-Mook;Cho, Seung-Seup;Kim, Jae-Young
    • Korean Journal of Agricultural Science
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    • v.3 no.2
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    • pp.207-213
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    • 1976
  • In order to obtain the prediction of the maximum dry density and the optimum moisture content of soil without soil moisture test, compaction test results from 157 different places either under construction or already completed were analyzed. The analyzed results were as follow The relationship between the maximum dry density and the optimum moisture content of the soil showing a correlation coefficient of 0.96 indicated that there was a high correlation between them. From the above relationship we obtained the equation, ${\gamma}_{dmax.}={\frac{1}{0.4193+0.00937W_{opt.}}$ Equation between the optimum moisture content and the maximum wet density of the soil was $W_{opt.}={\frac{0.4193{\gamma}_{tmax.}}{0.937_{\gamma}_{tmax.}-0.01}$, and the values of the optimum moisture content being predicted with the maximum wet density of the soil showed a little difference between those and tested values. The values of the maximum dry density being predicted with the moisture content estimated by the maximum wet density of the soil were within the range of ${\pm}5%$ of its tested values. The relationship between the dry density and the void ratio showed a high correlation between them (${\gamma}=0.9706$). From the above relationship, we obtained the equation, ${\gamma}_{dmax.}={\frac{1}{0.3938+0.3426e}}$.

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Use of big data analysis to investigate the relationship between natural radiation dose rates and cancer incidences in Republic of Korea

  • Joo, Han Young;Kim, Jae Wook;Moon, Joo Hyun
    • Nuclear Engineering and Technology
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    • v.52 no.8
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    • pp.1798-1806
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    • 2020
  • In this study, we investigated whether there is a significant relationship between the natural radiation dose rate and the cancer incidences in Korea by using a big data analysis. The natural dose rate data for this analysis were the measurement data obtained from the 171 monitoring posts of the 113 administrative districts in Korea over the 10 years from 2007 to 2016. The relative cancer incidences for this analysis were the difference in the cancer patients per hundred thousand people year-on-year in the administrative districts with the five highest and the five lowest natural gamma dose rates each year over the same period. To analyze the correlation between the two variables, Spearman's rank correlation coefficient between the two rates was derived using R, a well-known big data analysis tool. The analysis showed that Spearman's rank correlation coefficient was more than 0.05 and that the correlation between the two variables was not statistically significant.

Effects of Different Methods for Determining the Number of Transferable Embryos on Genetic Gain and Inbreeding Coefficient in a Japanese Holstein MOET Breeding Population

  • Terawaki, Y.;Asada, Y.
    • Asian-Australasian Journal of Animal Sciences
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    • v.14 no.5
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    • pp.597-602
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    • 2001
  • This study was conducted to examine the relationships between the methods used to determine the number of transferable embryos collected per flush and the estimated cumulative genetic improvements in the Japanese Holstein MOET breeding population. Cumulative genetic improvements were predicted by Monte Carlo simulation using three different determination methods (MODEL 1, MODEL 2, and MODEL 3), for calculating the number of embryos collected per flush. Moreover EBVs were estimated including or ignoring coefficients of inbreeding in MME. Inbreeding coefficients were also predicted. The number of transferable embryos was determined using normal, gamma, and Poisson distributions in MODEL 1, gamma and Poisson distributions in MODEL 2, and only the Poisson distribution in MODEL 3. The fitness of MODEL 2 in relation to field data from Hokkaido Japan was the best, and the results for MODEL3 indicated that this model is unsuitable for determining the number of transferable embryos. The largest cumulative genetic improvement (3.11) in the 10th generation was predicted by MODEL 3 and the smallest (2.83) by MODEL 2. Mean coefficients of correlation between the true and estimated breeding values were 0.738, 0.729, and 0.773 in MODELS 1, 2, and 3, respectively. It is suggested that the smallest genetic improvement in MODEL 2 resulted from the smallest correlation coefficient between the true and estimated breeding values. The differences in milk, fat, and protein yields between MODELS 2 and 3 were 182.0, 7.0, and 5.6 kg, respectively, in real units when each trait was independently selected. The inbreeding coefficient was the highest (0.374) in MODEL 2 and the lowest (0.357) in MODEL 3. The effects of different methods for determining the number of transferable embryos per flush on genetic improvements and inbreeding coefficients of the simulated populations were remarkable. The effects of including coefficients of inbreeding in MME, however, were unclear.

Correlation of Tectolineaments and Discontinuities in connection with Slope Failure (사면 붕괴와 관련 구조선 분석과 불연속면의 상관성 연구)

  • Baek, Yong;Koo, Ho-Bon;Kim, Seung-Hyun
    • The Journal of Engineering Geology
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    • v.11 no.3
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    • pp.303-313
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    • 2001
  • A cut-slope near Guam-Ri Hwado-Eup Namyangju-Si Kyunggi-Do collapsed during a heavy rainfall over 400mm at 28th of August 2000. The cut-slope collapse reportedly developed mainly by block sliding along a set of discontinuities, although slope angle of the cut-slope was 40$^{\circ}$(1:1.2) that agrees with the road construction criteria. This study aims to analyze differences and correlations among several data-collecting methods limited to discontinuity analysis related with cut-slope collapse. This study started with analysing discontinuity surface characteristics, geology of the country rock and orientations of the discontinuities directly related with the collapse. Analysis of aerial photos around the study area provided regional lineament data, and discontinuity plane description and measurements were collected from core logging and Borehole Image Processing System (BIPS). Spearmans correlation ranking coefficient method was used to get correlation of discontinuity planes according to analysis methods. The result suggests that the correlation coefficient is ${\gamma}_s$ = 0.91 Plus, stability analysis of discontinuity plane orientation data using equal-area stereonet revealed that the study area is unstable to planar failure. This study suggests that the cut-slope angles currently applied should be shallower and that significant attention is required to orientation distribution of discontinuities existed in cut-slopes studies.

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Development of radioactive prospecting as tool for evaluating degree of granitic rocks weathering

  • Ishida Satoshi;Tsuchihara Takeo;Imaizumi Masayuki;Ohnishi Ryouichi
    • 한국지구물리탐사학회:학술대회논문집
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    • 2003.11a
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    • pp.416-421
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    • 2003
  • To develop an easy, low-cost method for evaluating the degree of weathering by radioactive prospecting, radioactive prospecting and the investigation of the degree of weathering were carried out in the southern Kitakami massif of Iwate Prefecture, Japan, in which weathering granitic rocks was distributed. Fifty outcrops in the study area were selected, and strength of the gamma-rays emitted from the weathering bedrock of $^{40}K,\;^{214}Bi,\;and\;^{208}Tl$ was measured for 15 minutes at each point. At the same points, soil hardness was measured on the surface of the outcrop with a Yamanaka soil penetration tester. In addition, 100cc samples of each outcrop were taken with the sampler. The samples were analyzed by XRD, and the kind of the rock-forming minerals containing K was identified. We then compared the degree of weathering and the radioactive prospecting results by using K as an indicator. The relation between $^{40}K/^{208}Tl$ gamma rays counting rate by the radioactive prospecting and the hardness index showed a positive correlation as a result of the investigation, and the correlation coefficient ($R^2$) was 0.67.Moreover, when $^{40}K/^{208}Tl$ gamma rays counting rate emitted from the bedrock was low, the number of rock-forming mineral species containing K was also low. Thus, it was found that $^{40}K/^{208}Tl$ gamma rays counting rate measured by the radioactive prospecting could be used as an indicator of the degree of weathering.

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A Study on a Coping Method of the Family Caregivers of Demented Patients (치매노인 가족부양자의 대처방법에 관한 연구)

  • You, Kwang-Soo
    • Research in Community and Public Health Nursing
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    • v.13 no.4
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    • pp.648-667
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    • 2002
  • This was a descriptive study designed to identify the level of coping method and its influencing factors on the family caregivers of demented patients, and resolve the family caregivers' level of stress. The data were collected from September 10 to October 10, 2001. Subjects for this study were recruited from four clinics, which were chosen from 15 clinics located in Chunbuk-Do as the study sites because of their cooperation for the study. They were similar in terms of size, the characteristics of the local community. and the population and registration status of the demented patients. The instruments used for the study were as follows: 1. Problematic behaviors of demented patients are measured by the Memory and Behavior Problem Checklist (Zarit, 1980), and the Linguistic Communication Symptoms Questionnaire (Bayles and Tomoeda, 1991) 2. The ability to carry out daily activities was measured using the Barthel Index (1965) and Katz Index (1963), which as well-known ADL assessment methods. 3. Burden was measured using Cost of Care Index by the Kosberg and Cairl (1986). 4. Coping strategy was measured Bell's 18 methods (1977). The data were analyzed using SPSS/PC. The study results were as follows: 1. The total stress score was 2.90 out of a maximum score of 5. The highest score reported was 3.09 on the dimension of restriction of individual and social activities, and the lowest region reported was 2.58 on the dimension of mental and physical health. 2. The total score of the coping method was 2.65 out of a maximum score of 5. The highest score reported was 4.01 on the dimension of thinking that includes an ideation such that it is better than any possible worst case, and the lowest score reported was 1.45 on the dimension of the self-image as a scapegoat. 3. There were significant differences in coping method among the subjects by age (F=2.752 p=0.04), caregiver (F=4.33 p=0.003), care-giving period (F=2.68 p=0.049), and dementia stage (F=2.87 p=0.034). 4. There were highly negative correlations ($\gamma$=-0.301 p=0.000) between problematic behaviors of demented patients and the coping method of their family caregivers. The highest correlation coefficient ($\gamma$=-0.339 p=0.000) was found between aggressive behaviors of the demented patients and the coping method of their family caregivers. 5. There was a low negative correlation ($\gamma$=-0.201 p=0.019) between the ADL of the demented patients and the coping method of their family caregivers. 6. There were highly negative correlations ($\gamma$=-0.213 p=0.005) between stress and the coping method of the family caregivers. The highest correlation was found between financial burden ($\gamma$=-.327 P=.000) and the coping method of the family caregivers. There was no significant correlation among unpleasant aspects of the demented patients, willingness to the demented patients, and the coping method of the family caregivers.

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A Theoretical Study for the Formulation Design of PBX(I) (복합화약 조성설계에서의 이론적 연구(I))

  • Shim, Jung-Seob;Kim, Hyoun-Soo
    • Journal of the Korea Institute of Military Science and Technology
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    • v.11 no.2
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    • pp.109-115
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    • 2008
  • A Plastic Bonded Explosive(PBX) is mainly composed of nitramine explosive and polymer binder. The great number of serious applications of PBX requires the good adhesion between nitramine crystals and binder, which depends on the surface characteristics of a filler and binder. In the pursuit of the better design to achieve the enhanced adhesion, profound knowledge of the surface and interfacial characteristics of explosive and binder should be exploited. In this study, the influences of physicochemical properties between RDX and binders such as interfacial tension($\gamma_{SL}$), latent heat($Q_m$), and density($\rho$) on impact sensitivity of PBX were investigated. As experimental results, the major contribution factor to impact sensitivity of PBX was the interfacial tension, compare with other surface properties. The correlation coefficient of $H_{50}$ versus $\gamma_{SL}$ is 0.9932 when a polynomial regression method was used.

Studies on the Derivation of the Instantaneous Unit Hydrograph for Small Watersheds of Main River Systems in Korea (한국주요빙계의 소유역에 대한 순간단위권 유도에 관한 연구 (I))

  • 이순혁
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.19 no.1
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    • pp.4296-4311
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    • 1977
  • This study was conducted to derive an Instantaneous Unit Hydrograph for the accurate and reliable unitgraph which can be used to the estimation and control of flood for the development of agricultural water resources and rational design of hydraulic structures. Eight small watersheds were selected as studying basins from Han, Geum, Nakdong, Yeongsan and Inchon River systems which may be considered as a main river systems in Korea. The area of small watersheds are within the range of 85 to 470$\textrm{km}^2$. It is to derive an accurate Instantaneous Unit Hydrograph under the condition of having a short duration of heavy rain and uniform rainfall intensity with the basic and reliable data of rainfall records, pluviographs, records of river stages and of the main river systems mentioned above. Investigation was carried out for the relations between measurable unitgraph and watershed characteristics such as watershed area, A, river length L, and centroid distance of the watershed area, Lca. Especially, this study laid emphasis on the derivation and application of Instantaneous Unit Hydrograph (IUH) by applying Nash's conceptual model and by using an electronic computer. I U H by Nash's conceptual model and I U H by flood routing which can be applied to the ungaged small watersheds were derived and compared with each other to the observed unitgraph. 1 U H for each small watersheds can be solved by using an electronic computer. The results summarized for these studies are as follows; 1. Distribution of uniform rainfall intensity appears in the analysis for the temporal rainfall pattern of selected heavy rainfall event. 2. Mean value of recession constants, Kl, is 0.931 in all watersheds observed. 3. Time to peak discharge, Tp, occurs at the position of 0.02 Tb, base length of hlrdrograph with an indication of lower value than that in larger watersheds. 4. Peak discharge, Qp, in relation to the watershed area, A, and effective rainfall, R, is found to be {{{{ { Q}_{ p} = { 0.895} over { { A}^{0.145 } } }}}} AR having high significance of correlation coefficient, 0.927, between peak discharge, Qp, and effective rainfall, R. Design chart for the peak discharge (refer to Fig. 15) with watershed area and effective rainfall was established by the author. 5. The mean slopes of main streams within the range of 1.46 meters per kilometer to 13.6 meter per kilometer. These indicate higher slopes in the small watersheds than those in larger watersheds. Lengths of main streams are within the range of 9.4 kilometer to 41.75 kilometer, which can be regarded as a short distance. It is remarkable thing that the time of flood concentration was more rapid in the small watersheds than that in the other larger watersheds. 6. Length of main stream, L, in relation to the watershed area, A, is found to be L=2.044A0.48 having a high significance of correlation coefficient, 0.968. 7. Watershed lag, Lg, in hrs in relation to the watershed area, A, and length of main stream, L, was derived as Lg=3.228 A0.904 L-1.293 with a high significance. On the other hand, It was found that watershed lag, Lg, could also be expressed as {{{{Lg=0.247 { ( { LLca} over { SQRT { S} } )}^{ 0.604} }}}} in connection with the product of main stream length and the centroid length of the basin of the watershed area, LLca which could be expressed as a measure of the shape and the size of the watershed with the slopes except watershed area, A. But the latter showed a lower correlation than that of the former in the significance test. Therefore, it can be concluded that watershed lag, Lg, is more closely related with the such watersheds characteristics as watershed area and length of main stream in the small watersheds. Empirical formula for the peak discharge per unit area, qp, ㎥/sec/$\textrm{km}^2$, was derived as qp=10-0.389-0.0424Lg with a high significance, r=0.91. This indicates that the peak discharge per unit area of the unitgraph is in inverse proportion to the watershed lag time. 8. The base length of the unitgraph, Tb, in connection with the watershed lag, Lg, was extra.essed as {{{{ { T}_{ b} =1.14+0.564( { Lg} over {24 } )}}}} which has defined with a high significance. 9. For the derivation of IUH by applying linear conceptual model, the storage constant, K, with the length of main stream, L, and slopes, S, was adopted as {{{{K=0.1197( {L } over { SQRT {S } } )}}}} with a highly significant correlation coefficient, 0.90. Gamma function argument, N, derived with such watershed characteristics as watershed area, A, river length, L, centroid distance of the basin of the watershed area, Lca, and slopes, S, was found to be N=49.2 A1.481L-2.202 Lca-1.297 S-0.112 with a high significance having the F value, 4.83, through analysis of variance. 10. According to the linear conceptual model, Formular established in relation to the time distribution, Peak discharge and time to peak discharge for instantaneous Unit Hydrograph when unit effective rainfall of unitgraph and dimension of watershed area are applied as 10mm, and $\textrm{km}^2$ respectively are as follows; Time distribution of IUH {{{{u(0, t)= { 2.78A} over {K GAMMA (N) } { e}^{-t/k } { (t.K)}^{N-1 } }}}} (㎥/sec) Peak discharge of IUH {{{{ {u(0, t) }_{max } = { 2.78A} over {K GAMMA (N) } { e}^{-(N-1) } { (N-1)}^{N-1 } }}}} (㎥/sec) Time to peak discharge of IUH tp=(N-1)K (hrs) 11. Through mathematical analysis in the recession curve of Hydrograph, It was confirmed that empirical formula of Gamma function argument, N, had connection with recession constant, Kl, peak discharge, QP, and time to peak discharge, tp, as {{{{{ K'} over { { t}_{ p} } = { 1} over {N-1 } - { ln { t} over { { t}_{p } } } over {ln { Q} over { { Q}_{p } } } }}}} where {{{{K'= { 1} over { { lnK}_{1 } } }}}} 12. Linking the two, empirical formulars for storage constant, K, and Gamma function argument, N, into closer relations with each other, derivation of unit hydrograph for the ungaged small watersheds can be established by having formulars for the time distribution and peak discharge of IUH as follows. Time distribution of IUH u(0, t)=23.2 A L-1S1/2 F(N, K, t) (㎥/sec) where {{{{F(N, K, t)= { { e}^{-t/k } { (t/K)}^{N-1 } } over { GAMMA (N) } }}}} Peak discharge of IUH) u(0, t)max=23.2 A L-1S1/2 F(N) (㎥/sec) where {{{{F(N)= { { e}^{-(N-1) } { (N-1)}^{N-1 } } over { GAMMA (N) } }}}} 13. The base length of the Time-Area Diagram for the IUH was given by {{{{C=0.778 { ( { LLca} over { SQRT { S} } )}^{0.423 } }}}} with correlation coefficient, 0.85, which has an indication of the relations to the length of main stream, L, centroid distance of the basin of the watershed area, Lca, and slopes, S. 14. Relative errors in the peak discharge of the IUH by using linear conceptual model and IUH by routing showed to be 2.5 and 16.9 percent respectively to the peak of observed unitgraph. Therefore, it confirmed that the accuracy of IUH using linear conceptual model was approaching more closely to the observed unitgraph than that of the flood routing in the small watersheds.

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