• Title/Summary/Keyword: Mann-Kendall 분석

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A Study of Non-parametric Statistical Tests to Analyze Trend in Water Quality Data (수질자료의 추세분석을 위한 비모수적 통계검정에 관한 연구)

  • Lee, Sang-Hoon
    • Journal of Environmental Impact Assessment
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    • v.4 no.2
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    • pp.93-103
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    • 1995
  • This study was carried out to suggest the best statistical test to analyze the trend in monthly water quality data. Traditional parametric tests such as t-test and regression analysis are based on the assumption that the underlying population has a normal distribution and regression analysis additionally assumes that residual errors are independent. Analyzing 9-years monthly COD data collected at Paldang in Han River, the underlying population was found to be neither normal nor independent. Therefore parametric tests are invalid for trend detection. Four Kinds of nonparametric statistical tests, such as Run Test, Daniel test, Mann-Kendall test, and Time Series Residual Analysis were applied to analyze the trend in the COD data, Daniel test and Mann-Kendall test indicated upward trend in COD data. The best nonparametric test was suggested to be Daniel test, which is simple in computation and easy to understand the intuitive meaning.

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Long-Term Trend Analyses of Water Qualities in Mangyung Watershed (비모수 통계기법을 이용한 만경강 유역의 장기간 수질 경향 분석)

  • Lee, Hye Won;Park, Seoksoon
    • Journal of Korean Society on Water Environment
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    • v.24 no.4
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    • pp.480-487
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    • 2008
  • Spatial and temporal analyses of water qualities were performed for 11 monitoring stations located in Mangyung watershed in order to analyze the trends of monthly water quality data of Biochemical Oxygen Demand (BOD), Total Nitrogen (TN) and Total Phosphorus (TP) measured from 1995 to 2004. The long-term trends were analyzed utilizing Seasonal Mann-Kendall test, LOWESS and three-dimensional graphs were constructed with respect to distance and time. The graph can visualize spatial and temporal trend of the long-term water quality in a large river system. The results of trend analysis indicated that water quality of BOD and TN showed the downward trend. This quantitive and quantitative analysis is the useful tool to analyze and display the long-term trend of water quality in a large river system.

A study to detect trend in serially correlated hydrological series (자료의 상관성이 경향성 분석에 미치는 영향에 대한 연구)

  • Oh Je Seung;Kim Byung Sik;Kim Hung Soo;Seoh Byung Ha
    • Proceedings of the Korea Water Resources Association Conference
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    • 2005.05b
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    • pp.786-791
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    • 2005
  • 경향성을 분석하기 위한 여러 기법 가운데 비모수적 방법인 Mann-Kendall 검정(MK 검정)은 수문시계열의 분석에서 널리 사용되어지고 있다. 이 검정 방법은 분석 대상 자료가 독립이라는 가정 하에 수행되며, 자료가 계열상관되어 있는 경우에는 그 상관성의 영향으로 경향성 존재의 유무를 정확하게 판단할 수 없게 된다. 따라서 MK 검정을 이용할 때 자료의 상관성으로 인해 받게되는 영향을 소거시키기 위해 효과적인 자료의 크기(Effective Sample Size, ESS)를 이용하는 수정된 MK 검정 방법을 이용하고자 한다. 본 연구에서는 ESS가 얼마만큼 계열상관성을 제거할 수 있는지 Monte Carlo모의를 통해 검토하였다. MK 검정 결과 계열상관계수의 증가에 따라 자료가 경향성을 나타내는 비율이 높아 겼으나, ESS에 의해 수정된 MK 검정을 수행한 결과 계열상관계수의 영향이 제거되었음을 알 수 있었다. 그러나 ESS에 치한 방법은 상관성의 영향을 과대하게 제거하게 되고, 이에 의해 실제 경향성이 존재하는 자료마저도 비 경향성이라고 판단하게 되는 오류를 가지고 있었다. 이러한 문제점을 해결하기 위해 MK 검정에서 경향성으로 판단된 자료에 대해 경향정도를 분석하여 제거한 후 다시 ESS에 의해 수정된 MK 검정을 실시하였다. 본 연구를 통하여 상관성이 존재하는 자료에 대한 MK 검정 방법의 오류를 제거 할 수 있었으며, 또한 실측 자료의 적용을 통해 수정 MK 검정이 경향성 분석에 매우 유용함을 확인 하였다.

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Comparison of Precipitation Characteristics using Rainfall Indicators Between North and South Korea (강수지표를 이용한 남·북한 강수특성 비교)

  • Lee, Bo-Ram;Chung, Eun-Sung;Kim, Tae-Woong;Kwon, Hyun-Han
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.33 no.6
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    • pp.2223-2235
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    • 2013
  • This study aimed to understand temporal and spatial trends of rainfall characteristics in South and North Korea. Daily rainfall observed at the 65 stations in South Korea between 1963 and 2010 and the 27 stations in North Korea between 1973 and 2010 were analyzed. Rainfall Indicators for amount, extremes, frequency of rainfall were defined. Province-based indicators in the recent 10 years (i.e., between 2001 and 2010) were compared to those in the past (i.e., between 1963/1973 and 2000 for South/North Korea). In the recent 10 years, all the indicators except for the number of wet days (NWD) and 200-yr frequency rainfall (Freq200) increased in South Korea and all the indicators except for the annual mean daily rainfall over wet days (SDII) and annual total rainfall amount (TotalDR) decreased in North Korea. Furthermore, we performed the Mann-Kendall trend test based on the annual indicators. In some stations, decreasing trends in the past and increasing trends in the recent 10 years were found, and such opposite trends between two periods suggest he limitation in predicting and analyzing the rainfall characteristics based on the average. Results from this study can be used in analyzing the impact of climate change and preparing adaptation strategies for the water resources management.

Water quality evaluation research through long-term water quality monitoring in Seohwa Stream Watershed (서화천유역 장기 수질모니터링을 통한 수질평가 연구)

  • Kal, Byungseok;Park, Jaebeom;Mun, Hyunsaing;Cho, Sohyun;Joo, Yongeun;Min, Kyeongok
    • Journal of Wetlands Research
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    • v.24 no.4
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    • pp.256-267
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    • 2022
  • This study analyzed the current status and trend of water quality using long-term water quality monitoring data measured over the past 5 years in the Seohwacheon Basin, located upstream of Daecheong Lake. In the Seohwacheon Basin, a project is underway to reduce the occurrence of algal blooms in the Daecheong Lake and to improve water quality, and continuous management is required for water quality management. The current water quality evaluation aims to identify the water quality management point, and the good water grade and the integrated water quality index (WQI) were used. For trend evaluation, the effect of the water quality improvement project was evaluated using the Mann-Kendall test and Sen's Slope. As a result of the evaluation, the current water quality index was used to identify the watersheds and when to manage water quality, and the effect of the improvement project was confirmed through trend analysis. Through this study, it is possible to review the water quality status and improvement effect using long-term water quality monitoring data, so it is expected to be applicable to similar types of watersheds in the future.

A Study on the Water Quality Changes of TMDL Unit Watershed in Guem River Basin Using a Nonparametric Trend Analysis (비모수 경향분석법 적용을 통한 금강수계 총량관리 단위유역의 수질변화 연구)

  • Kim, Eunjung;Kim, Yongseok;Rhew, Doughee;Ryu, Jichul;Park, Baekyung
    • Journal of Korean Society on Water Environment
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    • v.30 no.2
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    • pp.148-158
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    • 2014
  • In order to assess the effect of TMDLs management and improve that in the future, it is necessary to analyze long-term changes in water quality during management period. Therefore, long term trend analysis of BOD was performed on thirty monitoring stations in Geum River TMDL unit watersheds. Nonparametric trend analysis method was used for analysis as the water quality data are generally not in normal distribution. The monthly median values of BOD during 2004~2010 were analyzed by Seasonal Mann-Kendall test and LOWESS(LOcally WEighted Scatter plot Smoother). And the effect of Total Maximum Daily Loads(TMDLs) management on water quality changes at each unit watershed was analyzed with the result of trend analysis. The Seasonal Mann-Kendall test results showed that BOD concentrations had the downward trend at 10 unit watersheds, upward trend at 4 unit watersheds and no significant trend at 16 unit watersheds. And the LOWESS analysis showed that BOD concentration began to decrease after mid-2009 at almost all of unit watersheds having no trend in implementation plan watershed. It was estimated that TMDLs improved water quality in Geum River water system and the improvement of water quality was made mainly in implementation plan unit watershed and tributaries.

The Future of Extreme Climate Change in Korean Peninsula Using National Standard Climate Change Scenarios and ETCCDI Index (국가 표준기후변화 시나리오와 ETCCDI지수를 이용한 한반도의 미래 극한사상변화 전망)

  • Jeong, Jin Woo;Jeung, Se Jin;Kim, Byung Sik
    • Proceedings of the Korea Water Resources Association Conference
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    • 2020.06a
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    • pp.134-134
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    • 2020
  • 본 논문의 목적은 기후변화가 한반도에서의 극한기후에 미치는 영향을 전망하고자한다. 먼저, 기상청에서 제공하고 있는 SDQDM 편의보정을 거친 CCAW의 국가 표준기후변화 시나리오 13종을 이용하였으며, 참조기간을 기준으로 기후변화 시나리오의 모의 능력을 검토하였다. 이어 미래의 극한기후변화를 전망하기위해 WMO의 ETCCDI 지수를 이용하여 미래 극한기후를 전망하였다. 또한 Mann Kendall tau를 이용하여 한반도의 강수와 기온관련 극한지수 변화를 전망하였다. 분석 결과를 기온관련 지수에서 Current 기간일 때 WSDI지수가 공간적 변동성이 54%로 예상되며, TXx지수가 지역간의 공간적 변동성이 121%로 가장 클 것이라 예상된다. 강우관련 지수를 살펴보면 Current기간 일 때 r95p지수의 지역별 공간변동성이 59%로, RCP 4.5시나리오일 때 PRCP 지수의 공간변동성이 42%로, CDD지수의 공간변동성이 최대 59%로 분석되었다. 공간분포를 확인해본 결과 기온과 강수관련 지수 모두 한반도 중부지역에서 큰 상승 경향을 보였고, 미래기간의 경우 북한의 서해안, 남한의 남해안 지역에서 가장 큰 증가경향을 보였다. 즉 일습윤지속일수를 의미하는 CWD지수는 경상도, 전라도 지역에서 증가 경향을 나타냈으며, 충청도와 북한전역에서 감소경향을 나타났다. 또한 일교차를 의미하는 DTR지수는 한반도 전역에서 증가하는 것으로 전망되었다.

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An Analysis of Temporal Characteristic Change for Various Hydrologic Weather Parameters (I) - On the Basic Statistic, Trend - (각종 수문기상인자의 경년별 특성변화 분석(I) - 기본통계량, 경향성을 중심으로 -)

  • Lee, Jae-Joon;Jang, Joo-Young;Kwak, Chang-Jae
    • Journal of Korea Water Resources Association
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    • v.43 no.4
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    • pp.409-419
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    • 2010
  • In this study, for the purpose of analyzing the characteristics of Korean hydrologic weather parameters, 9 hydrologic weather parameters data such as annual precipitation, annual rainy days, annual average relative humidity, annual average temperature, annual duration of sunshine, annual evaporation, annual duration of precipitation, annual snowy days and annual new snowy days are collected from 63 domestic meteorological stations that has the hydrologic weather parameters records more than 30 years. And the basic characteristics of hydrologic weather parameters through basic statistics, moving average and linear regression analysis are perceived. Also trend using the statistical methods like Hotelling-Pabst test and Mann-Kendall test about hydrologic weather parameters is analyzed. Through results of basic analysis, moving average and linear regression analysis it is shown that precipitation is concentrated in summer and deviation of precipitation for each season showed significant difference in accordance with Korean climate characteristics, besides the increase in annual precipitation and annual average temperature, annual average relative humidity and annual duration of sunshine reduction and annual rainy days is said to increase or decrease. The results of statistical analysis of trend are summarized as trend commonly appeared in annual average relative humidity and annual average temperature. and annual precipitation, annual rainy days and annual duration of sunshine showed different results according to area.

Long term groundwater quality change using electrical conductivity and nitrate in the Geum River Basin, South Korea (금강유역의 전기전도도와 질산염을 이용한 장기적인 지하수 수질변화)

  • Agossou, Amos;Lee, Jae-Beom;Joo, Sin-Young;Han, Yeon-Kyeong;Yang, Jeong-Seoke
    • Journal of Korea Water Resources Association
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    • v.57 no.2
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    • pp.111-125
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    • 2024
  • The study has examined alterations in groundwater quality by investigating the influence of rainfall on electrical conductivity (EC) and nitrate concentration in the groundwater of the Geum River Basin in South Korea. Mann Kendall and Sen's Slope estimator were employed to analyze the trends and estimate the trend's magnitude. The administrative map of the study area was utilized to assess the trends of these parameters within each administrative region. Seventeen years (from 2005 to 2021) of data on EC, groundwater levels (GWL), precipitation, and six years (from 2015 to 2020) of nitrate concentration data were utilized for this analysis. The results indicate that, in most administrative regions, there has been an increase in nitrate concentration, and EC, whereas precipitation has seen a slight decrease in a downstream and an increasing trend in upstream. The correlation coefficients calculated between these parameters reveal that there is no direct impact of precipitation on nitrate and EC, but a negative correlation was observed between GWL and EC. The most significant increasing trend in nitrate concentration was observed in two districts (Iksan and Gunsan ), which correspond to regions with significant agricultural activity; about 50% of these districts area are used for agricultural activities.

Efficient water resource management using cluster and trend analysis for each rainfall station (강우 관측소별 군집 및 경향성 분석을 활용한 효율적인 수자원 관리)

  • Won-joon Wang;Seong Cheol Shin;Yu Jin Kang;Seungmin Lee;Soojun Kim;Hung Soo Kim
    • Proceedings of the Korea Water Resources Association Conference
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    • 2023.05a
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    • pp.115-115
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    • 2023
  • 최근 기후변화의 영향으로 국내에서 강우량과 유출량의 변동성이 커짐에 따라 효율적으로 수자원을 관리하는 데 어려움을 겪고 있다. 따라서 수자원 관리 측면에서 강우관측소를 대상으로 군집 분석과 경향성 분석을 통해 사전에 강우 시계열 자료의 추세와 특징을 파악하면 용수 공급과 가뭄 및 홍수피해 저감 등에 효과적으로 대처할 수 있다. 본 연구에서는 2000년부터 2019년까지낙동강 유역의 64개 강우관측소를 대상으로 동질성 검정과 수정 Mann-Kendall (MK) 검정을 적용하여 강우 시계열 자료의 월별, 계절별, 연도별 경향성 분석을 수행하였다. 또한, 경향성이 나타나는 관측소별 세부지표(연평균 강우량, 표고 등)를 기준으로 K-means 군집 분석을 수행하여 군집별 강우 특성을 파악하고자 하였다. 분석을 수행한 결과 경향성 분석에선 3월, 4월, 11월, 12월, 봄 및 가을에는 강우량이 증가 추세를 보였고 1월, 5~9월, 여름과 연도별로는 감소 추세가 나타났다. 또한 군집 분석에서는 Silhouette analysis를 기반으로 최적의 군집 개수를 3개로 설정했을 때 군집별 강우 세부지표의 통계값이 관측소별 표고에 비례하는 특징이 나타났다. 연구를 통해 도출된 군집별 강우 특성과 관측소별 경향성 분석결과를 연계하면 강우량의 변동성을 고려한 효율적인 수자원 관리 방안을 마련하는 데 활용할 수 있을 것으로 판단된다.

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