• Title/Summary/Keyword: Log distribution

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Evaluation for usefulness of Chukwookee Data in Rainfall Frequency Analysis (강우빈도해석에서의 측우기자료의 유용성 평가)

  • Kim, Kee-Wook;Yoo, Chul-Sang;Park, Min-Kyu;Kim, Hyeon-Jun
    • Journal of Korea Water Resources Association
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    • v.40 no.11
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    • pp.851-859
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    • 2007
  • In this study, the chukwookee data were evaluated by applying that for the historical rainfall frequency analysis. To derive a two parameter log-normal distribution by using historical data and modem data, censored data MLE and binomial censored data MLE were applied. As a result, we found that both average and standard deviation were all estimated smaller with chukwookee data then those with only modern data. This indicates that rather big events rarely happens during the period of chukwookee data then during the modern period. The frequency analysis results using the parameters estimated were also similar to those expected. The point to be noticed is that the rainfall quantiles estimated by both methods were similar. This result indicates that the historical document records like the annals of Chosun dynasty could be valuable and effective for the frequency analysis. This also means the extension of data available for frequency analysis.

Bivariate regional frequency analysis of extreme rainfalls in Korea (이변량 지역빈도해석을 이용한 우리나라 극한 강우 분석)

  • Shin, Ju-Young;Jeong, Changsam;Ahn, Hyunjun;Heo, Jun-Haeng
    • Journal of Korea Water Resources Association
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    • v.51 no.9
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    • pp.747-759
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    • 2018
  • Multivariate regional frequency analysis has advantages of regional and multivariate framework as adopting a large number of regional dataset and modeling phenomena that cannot be considered in the univariate frequency analysis. To the best of our knowledge, the multivariate regional frequency analysis has not been employed for hydrological variables in South Korea. Applicability of the multivariate regional frequency analysis should be investigated for the hydrological variable in South Korea in order to improve our capacity to model the hydrological variables. The current study focused on estimating parameters of regional copula and regional marginal models, selecting the most appropriate distribution models, and estimating regional multivariate growth curve in the multivariate regional frequency analysis. Annual maximum rainfall and duration data observed at 71 stations were used for the analysis. The results of the current study indicate that Frank and Gumbel copula models were selected as the most appropriate regional copula models for the employed regions. Several distributions, e.g. Gumbel and log-normal, were the representative regional marginal models. Based on relative root mean square error of the quantile growth curves, the multivariate regional frequency analysis provided more stable and accurate quantiles than the multivariate at-site frequency analysis, especially for long return periods. Application of regional frequency analysis in bivariate rainfall-duration analysis can provide more stable quantile estimation for hydraulic infrastructure design criteria and accurate modelling of rainfall-duration relationship.

Approximation of π by financial historical data (금융시계열자료를 이용한 원주율값 π의 추정)

  • Jang, Dae-Heung;Uhm, TaeWoong;Yi, Seongbaek
    • Journal of the Korean Data and Information Science Society
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    • v.28 no.4
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    • pp.831-841
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    • 2017
  • The irrational number ${\pi}$ is defined as the ratio of circumference of a circle to its radius and always becomes constant. This article does Monte Carlo approximation of its value using the famous Buffon's needle experiment and shows that its convergence is not always proportional to the sample size. We also do Monte Carlo simulations to see the convergence of the computed ${\pi}$ values from the random walk series with independent normal increment. Finally we apply the theoretical derivation to various financial time series data such as KOSPI, stock prices of Korean big firms, global stock indices and major foreign exchange rates. The historical data shows that log transformed data random walk process but most of their first lagged data don't follow a normal distribution. More importantly the computed value from the ratio of the regression coefficient ${\pi}$ tend to converge a constant, unfortunately not ${\pi}$. Using this result we could doubt on the efficient market hypothesis, and relate the degree of the hypothesis with the amount of deviation of the estimated ${\pi}$ values.

Assessment of NH4+ and Ca2+ on Acidity Neutralization of Rainwater in Ansung Area (안성지역 강우의 산성도 중화에 미치는 NH4+ 및 Ca2+ 영향 평가)

  • Lee, Jong Sik;Min, Zhu;Park, Baeg-Gyoon
    • Korean Journal of Soil Science and Fertilizer
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    • v.33 no.5
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    • pp.356-360
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    • 2000
  • This study was carried out to assess the neutralization ability of $NH_4{^+}$ and $Ca^{2+}$ on the acidity of rainwater in Korea. The rainwater was collected in Ansung area for six months from May to October in 1993, 1994, 1995, 1997, and 1998, respectively. Rainwater were analyzed for chemical composition and their theoretical pH values were calculated. As for the results, the distribution rates of rain at the pH 5.0~5.6 range were high. The equivalent ratio of $SO_4{^2-}/NO_3{^-}$ was decreased since 1994. Theoretical acidity which was calculated by-$log([H^+]+[NH_4{^+}]+[Ca^{2+}])$ was 5.0~12.6 times higher than measured acidity in Ansung area each monitoring year. The monthly difference between measured pH and theoretical pH was lower in July and August than any other month. $NH_4{^+}$ contributed more to the neutralization of rainwater acidity than $Ca^{2+}$. And the neutralization ratio of rainwater acidity by these two ions decreased during the years from 91.8% in 1993 to 88.7% in 1998.

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A Study on the Design of Data Collection System for Growing Environment of Crops (작물 근권부 생장 환경 Data 수집 시스템 설계에 관한 연구)

  • Lee, Ki-Young;Jeong, Jin-Hyoung;Kim, Su-Hwan;Lim, Chang-Mok;Lee, Sang-Sik
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
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    • v.11 no.6
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    • pp.764-771
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    • 2018
  • Domestic and foreign agricultural environments nowadays are undergoing various changes such as aging of agricultural population, increase of earned population, rapid climate change, diversification of agricultural product distribution structure, depletion of water resources and limited cultivation area. In order to respond to various environmental changes in recent agriculture, practical use of Smart Greenhouse to easily record, store and manage crop production information such as crop growing information, growth environment and agriculture work log, Interest is growing. In this paper, we propose a system that collects the situation information necessary for growth such as temperature, humidity, solar radiation, CO2 concentration, and monitor the collected data, which can be measured in the rhizosphere of the crop. We have developed a system that collects data such as temperature, humidity, radiation, and growth environment data, which are measured by data obtained from the rhizosphere measuring section of a growing crop and measured by a sensor, and transmitted to a wireless communication gateway of 400 MHz. We developed the integrated SW that can monitor the rhythm environment data and visualize the data by using cloud based data. We can monitor by graph format and data format for visualization of data. The existing smart farm managed crops and facilities using only the data within the farm, and this study suggested the most efficient growth environment by collecting and analyzing the weather and growth environment of the farms nationwide.

Fine mapping of rice bacterial leaf blight resistance loci on K1 and K2 of Korean races of Xoo (Xanthomonas oryzae) using GWAS analysis

  • Hyeon, Do-Yun;Lee, Jeong-Ro;Jo, Gyu-Taek;Raveendar, Sebastin;Sin, Myeong-Jae;Lee, Gyeong-Jun
    • Proceedings of the Plant Resources Society of Korea Conference
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    • 2019.04a
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    • pp.62-62
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    • 2019
  • Bacterial leaf blight(BLB), caused by X. oryzae pv. oryzae(Xoo), is one of the most destructive diseases of rice due to its high epidemic potential. Understanding BLB resistance at a genetic level is important to further improve the rice breeding that provides one of the best approaches to control BLB disease. In the present investigation, a collection of 192 accessions was used in the genome-wide association study (GWAS) for BLB resistance loci against four Korean races of Xoo that were represented by the prevailing BLB isolates under Xoo differential system. A total of 192 accessions of rice germplasm were selected on the basis of the bioassay using four isolated races of Xoo such as K1 and K2. The selected accessions was used to prepare 384-plex genotyping by sequencing (GBS) libraries and Illumina HiSeq 2000 pairedend read was used for GBS sequencing. GWAS was conducted using TASSEL 5.0. The TASSEL program uses a mixed linear model (MLM). The results of the bioassay using a selected set of 192 accessions showed that a large number of accessions (93.75%) were resistant to K1 race and K2 resistant germplasm proportion remained between 66.67. The genotypic data produced SNP matrix for a total of 293,379 SNPs. After imputation the missing data was removed, which exhibited 34,724 SNPs for association analysis. GWAS results showed strong signals of association at a threshold of [-log10(P-value)] more than 5 (K1 and K2) for nine of the 39 SNPs, which are plausible candidate loci of resistance genes. These SNP loci were positioned on rice chromosome 2, 9, and 11 for K1 and K2 races. The significant loci detected have also been illustrated and make the CPAS markers for NBS-LRR type disease resistance protein, SNARE domain containing protein, Histone deacetylase 19, NADP-dependent oxidoreductase, and other expressed and unknown proteins. Our results provide a better understanding of the distribution of genetic variation of BLB resistance to Korean pathogen races and breeding of resistant rice.

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Comparison of Airborne Lead Concentration in and Around Lead Production Plant (재생 납 생산 공장과 인근 지역의 공기 중 납 농도 수준 비교)

  • Park, Changhwan;Park, Yunkyung;Oh, Younhee;Choi, Inja;Cha, Wonseok;Choi, Sangjun
    • Journal of Korean Society of Occupational and Environmental Hygiene
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    • v.29 no.1
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    • pp.34-41
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    • 2019
  • Objective: This study is conducted to evaluate airborne lead concentration in and around lead production plant. Methods: Airborne lead concentration was monitored simultaneously inside of the processes of lead recycling factory and outside of factory which include stack, boundary of factory and residential area 1 km and 7.5 km from factory, respectively. All samples were measured three times at 1.5 m from the ground and analyzed using inductively coupled plasma mass spectrometer, inductively coupled plasma optical emission spectrometer or flame atomic absorption spectrometer. Results: All airborne lead concentrations measured inside of factory($13.9{\mu}g/m^3-252.9{\mu}g/m^3$) and outside of factory($0.001{\mu}g/m^3-54.97{\mu}g/m^3$) showed log-normal distribution. Geometric mean lead concentration, $54.81{\mu}g/m^3$, measured inside of factory was significantly higher than outside of factory, $0.20{\mu}g/m^3$(p<0.01). Among the samples measured inside the factory, lead concentration was the highest in the refining process($59.02{\mu}g/m^3-252.9{\mu}g/m^3$). In the case of the samples outside the factory, the nearest chimney was the highest($3.84{\mu}g/m^3-54.97{\mu}g/m^3$), and the lead concentration at the farthest place, 7.5 km from the factory was the lowest($0.001{\mu}g/m^3-1.7{\mu}g/m^3$). The arithmetic lead concentration, $0.45{\mu}g/m^3$ in the residential area near the factory was below the atmospheric environment standard of $0.5{\mu}g/m^3$, but the maximum concentration of $3.4{\mu}g/m^3$ was exceeded. Conclusions: Airborne lead concentration in residential area, 1 km away from lead recycling plant, may exceed ambient air standard of $0.5{\mu}g/m^3$.

Development of Korean Peninsula VS30 Map Based on Proxy Using Linear Regression Analysis (일반선형회귀분석을 이용한 프락시 기반 한반도 VS30지도 개발)

  • Choi, Inhyeok;Yoo, Byeongho;Kwak, Dongyoup
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.42 no.1
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    • pp.35-44
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    • 2022
  • The VS30 map is used as a key variable for site amplification in the ShakeMap, which predicts ground motion at any site. However, no VS30 map considering Korean geology and geomorphology has been developed yet. To develop a proxy-based VS30 map, we used 1,101 VS profiles obtained from a geophysical survey and collected proxy layers of geological and topographical information for the Korean Peninsula. Then, VS30 prediction models were developed using linear regression analysis for each geological age considering the distribution of VS30. As a result, models depending on geomorphology were suggested per each geologic group, including Quaternary, Fill, Ocean, Mesozoic group and Precambrian. Resolution of map is doubled from that of VS30 map by U.S. Geological Survey (USGS). Standard deviation of residual in natural log of proxy-based VS30 map is 0.233, whereas standard deviation of slope-based USGS VS30 map is 0.387. Therefore, the proxy-based VS30 map developed in this study is expected to have less uncertainty and to contribute to predicting more accurately the ground motion amplitude.

A Comparison of Analysis Methods for Work Environment Measurement Databases Including Left-censored Data (불검출 자료를 포함한 작업환경측정 자료의 분석 방법 비교)

  • Park, Ju-Hyun;Choi, Sangjun;Koh, Dong-Hee;Park, Donguk;Sung, Yeji
    • Journal of Korean Society of Occupational and Environmental Hygiene
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    • v.32 no.1
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    • pp.21-30
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    • 2022
  • Objectives: The purpose of this study is to suggest an optimal method by comparing the analysis methods of work environment measurement datasets including left-censored data where one or more measurements are below the limit of detection (LOD). Methods: A computer program was used to generate left-censored datasets for various combinations of censoring rate (1% to 90%) and sample size (30 to 300). For the analysis of the censored data, the simple substitution method (LOD/2), β-substitution method, maximum likelihood estimation (MLE) method, Bayesian method, and regression on order statistics (ROS)were all compared. Each method was used to estimate four parameters of the log-normal distribution: (1) geometric mean (GM), (2) geometric standard deviation (GSD), (3) 95th percentile (X95), and (4) arithmetic mean (AM) for the censored dataset. The performance of each method was evaluated using relative bias and relative root mean squared error (rMSE). Results: In the case of the largest sample size (n=300), when the censoring rate was less than 40%, the relative bias and rMSE were small for all five methods. When the censoring rate was large (70%, 90%), the simple substitution method was inappropriate because the relative bias was the largest, regardless of the sample size. When the sample size was small and the censoring rate was large, the Bayesian method, the β-substitution method, and the MLE method showed the smallest relative bias. Conclusions: The accuracy and precision of all methods tended to increase as the sample size was larger and the censoring rate was smaller. The simple substitution method was inappropriate when the censoring rate was high, and the β-substitution method, MLE method, and Bayesian method can be widely applied.

FREE-FLOATING PLANETS, THE EINSTEIN DESERT, AND 'OUMUAMUA

  • Gould, Andrew;Jung, Youn Kil;Hwang, Kyu-Ha;Dong, Subo;Albrow, Michael D.;Chung, Sun-Ju;Han, Cheongho;Ryu, Yoon-Hyun;Shin, In-Gu;Shvartzvald, Yossi;Yang, Hongjing;Yee, Jennifer C.;Zang, Weicheng;Cha, Sang-Mok;Kim, Dong-Jin;Kim, Seung-Lee;Lee, Chung-Uk;Lee, Dong-Joo;Lee, Yongseok;Park, Byeong-Gon;Pogge, Richard W.
    • Journal of The Korean Astronomical Society
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    • v.55 no.5
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    • pp.173-194
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    • 2022
  • We complete the survey for finite-source/point-lens (FSPL) giant-source events in 2016-2019 KMTNet microlensing data. The 30 FSPL events show a clear gap in Einstein radius, 9 𝜇as < 𝜃E < 26 𝜇as, which is consistent with the gap in Einstein timescales near tE ~ 0.5 days found by Mróz et al. (2017) in an independent sample of point-source/point-lens (PSPL) events. We demonstrate that the two surveys are consistent. We estimate that the 4 events below this gap are due to a power-law distribution of free-floating planet candidates (FFPs) dNFFP/d log M = (0.4 ± 0.2) (M/38 M)-p/star, with 0.9 ≲ p ≲ 1.2. There are substantially more FFPs than known bound planets, implying that the bound planet power-law index 𝛾 = 0.6 is likely shaped by the ejection process at least as much as by formation. The mass density per decade of FFPs in the Solar neighborhood is of the same order as that of 'Oumuamua-like objects. In particular, if we assume that 'Oumuamua is part of the same process that ejected the FFPs to very wide or unbound orbits, the power-law index is p = 0.89 ± 0.06. If the Solar System's endowment of Neptune-mass objects in Neptune-like orbits is typical, which is consistent with the results of Poleski et al. (2021), then these could account for a substantial fraction of the FFPs in the Neptune-mass range.