• 한국물환경학회지
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• 제33권3호
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• pp.256-272
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• 2017

Extreme rainfall has become more frequent over the Korean peninsula in recent years, causing serious damages. In a changing climate, traditional approaches based on historical records of rainfall and on the stationary assumption can be inadequate and lead to overestimate (or underestimate) the design rainfalls. A main objective of this study is to develop a stochastic disaggregation method of seasonal rainfall to hourly extreme rainfall, and offer a way to derive the nonstationary IDF curves. In this study, we propose a novel approach based on a Four-Parameter Beta (4P-beta) distribution to estimate the nonstationary IDF curves conditioned on the observed (or simulated) seasonal rainfall, which becomes the time-varying upper bound of the 4P beta distribution. Moreover, this study employed a Bayesian framework that provides a better way to take into account the uncertainty in the model parameters. The proposed model showed a comparable design rainfall to that of GEV distribution under the stationary assumption. As a nonstationary rainfall frequency model, the proposed model can effectively translate the seasonal variation into the sub-daily extreme rainfall.

• Journal of Forest and Environmental Science
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• 제36권1호
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• pp.7-16
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• 2020

Tree size distribution modelling is an integral part of forest management. Most distribution yield systems rely on some flexible probability models. In this study, a simple finite mixture of two components two-parameter Weibull distribution was compared with complex four-parameter distributions in terms of their fitness to predict tree size distribution of teak (Tectona grandis Linn f) plantations. Also, a system of equation was developed using Seemingly Unrelated Regression wherein the size distributions of the stand were predicted. Generalized beta, Johnson's SB, Logit-Logistic and generalized Weibull distributions were the four-parameter distributions considered. The Kolmogorov-Smirnov test and negative log-likelihood value were used to assess the distributions. The results show that the simple finite mixture outperformed the four-parameter distributions especially in stands that are bimodal and heavily skewed. Twelve models were developed in the system of equation-one for predicting mean diameter, seven for predicting percentiles and four for predicting the parameters of the finite mixture distribution. Predictions from the system of equation are reasonable and compare well with observed distributions of the stand. This simplified mixture would allow for wider application in distribution modelling and can also be integrated as component model in stand density management diagram.

• 한국수자원학회:학술대회논문집
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• 한국수자원학회 2017년도 학술발표회
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• pp.18-18
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• 2017

우리나라뿐만 아니라 세계의 여러 국가에서 과거 발생 했던 강수의 통계적 특성에서 벗어나는 극치사상이 빈번 하게 관측되고 있다. 이와 같은 현상에 가장 큰 영향을 미치고 있는 요인중 하나로서 지구온난화가 원인으로 고려되고 있으며 실제 산업화 이후 온실가스의 증가와 더불어 극한 기상현상의 발생 빈도가 증가하였다. 우리나라는 과거 발생패턴과는 다른 극치 강우 사상이 빈번하게 관측되고 있으며 이로 인한 피해도 증가되고 있는 상황이다. 이러한 점에서 기존의 연구에서 개발한 계절강수량을 입력 자료로 하여 극치강수량을 추정할 수 있는 비정상성 Four - Parameter(4P)-Beta분포를 이용한 알고리즘을 본 연구에서는 기상인자를 이용하여 모형 내에서 계절강수량을 직접적으로 예측할 수 있는 알고리즘을 추가하여, 이를 직접적으로 일단위 이하의 극치강수량을 상세화 시킬 수 있는 모형으로 확장하고자 하며, 이를 통해 기상변동성을 다양한 시간규모에서 고려하기 위한 정보로 활용하고자 하였다.

• 대한토목학회논문집
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• 제38권5호
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• pp.655-669
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• 2018

본 연구에서는 비정상성 Bayesian 빈도해석모형을 토대로 외부 기상인자에 의한 시변성을 고려할 수 있는 계절강수량 예측모형을 구축한 후 산정된 결과를 입력 자료로 하여 직접적으로 일단위 이하의 극치강수량을 상세화시킬 수 있는 베타 모델(four parameter beta, 4PB)을 연계하여 한강 및 금강유역의 미래 계절 강수량 전망 및 일단위 이하의 확률강수량을 도출하였다. 모형의 적합성 검증을 위하여 2014~2017년의 모의된 사후 확률분포 값과 관측치를 비교하였다. 그 결과 계절강수량 모의에서 한강은 관측 값의 최대 약 86.3%, 금강은 약 98.9% 일치하는 것을 확인할 수 있었다. 지속시간별 극치강우량은 약 65.9~99.7%의 정확성을 나타냈다. 이에 본 연구에서 산정한 결과는 기상변동성을 다양한 시간규모에서 고려하기 위한 정보로 활용할 수 있을 것으로 판단된다.

• Asian-Australasian Journal of Animal Sciences
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• 제22권2호
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• pp.260-266
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• 2009

The effects of ${\beta}$-glucosidase on the overall growth performance and a set of physiological parameters of broilers were investigated. 240 male, one-day old Avine broiler chickswere randomly allocated to four treatment groups and fed with a corn-soybean meal supplemented with 0% (control), 0.2%, 0.4% and 0.6% ${\beta}$-glucosidase. The 0.2% ${\beta}$-glucosidase group, but not the 0.4% and 0.6% ${\beta}$-glucosidase groups, showed a significantly increased average daily weight gain (p<0.05) over that of the control. All three ${\beta}$-glucosidase feed groups showed significantly higher feed conversion ratios than the control group (p<0.05). Feed supplementation of 0.2% ${\beta}$-glucosidase significantly raised the contents of serum isoflavone aglycones as shown by decreases of genistin and daizin (p<0.01) and an increase of daidzein (p<0.01). The 0.2% ${\beta}$-glucosidase feeding significantly increased the intestinal amylase activity while it had little effect on lipase and trypsin activities (p>0.05). 0.2% ${\beta}$-glucosidase feeding also significant elevated the levels of highdensity lipoprotein cholesterol and malate dehydrogenase while lowering the level of low-density lipoprotein cholesterol (LDL-C). Finally, ${\beta}$-glucosidase improved the anti-oxidative activities of the animals; the 0.2% ${\beta}$-glucosidase feed group had higher activities of superoxide dismutase (p<0.05), glutathione peroxidase and glutathione reductase in the liver (p<0.05), and malondialdehyde level in the serum (p<0.05).

• 한국해양공학회지
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• 제17권2호
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• pp.54-59
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• 2003

The characteristics of the parameters for the probability distribution of fatigue crack growth life, using the non-Gaussian random process simulation method is investigated. In this paper, the material resistance to fatigue crack growth is treated as a spatial random process, which varies randomly on the crack surface. Using the previous experimental data, the crack length equals the number of cycle curves that are simulated. The results are obtained for constant stress intensity factor range conditions with stress ratios of R=0.2, three specimen thickness of 6, 12 and 18mm, and the four stress intensity level. The probability distribution function of fatigue crack growth life seems to follow the 3-parameter Wiubull,, showing a slight dependence on specimen thickness and stress intensity level. The shape parameter, $\alpha$, does not show the dependency of thickness and stress intensity level, but the scale parameter, $\beta$, and location parameter, ${\gamma}$, are decreased by increasing the specimen thickness and stress intensity level. The slope for the stress intensity level is larger than the specimen thickness.

• 한국해양공학회:학술대회논문집
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• 한국해양공학회 2002년도 추계학술대회 논문집
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• pp.301-306
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• 2002

The characteristics of parameters for the probability distribution of fatigue crack growth lives by the non-Gaussian random process simulation method is investigated. In this paper, the material resistance to fatigue crack growth is treated as a spatial random process, which varies randomly on the crack surface. Using the previous experimental data, the crack length - the number of cycles curves are simulated. The results are obtained for constant stress intensity factor range conditions with stress ratio of R=0.2, three specimen thickness of 6, 12 and 18mm, and the four stress intensity level. The probability distribution function of fatigue crack growth lives seems to follow the 3-parameter Wiubull and shows a slight dependence on specimen thickness and stress intensity level. The shape parameter, ${\alpha}$, does not show the dependency of thickness and stress intensity level, but the scale parameter, ${\beta}$, and location parameter, ${\upsilon}$, are decreased by increasing the specimen thickness and stress intensity level. The slope for the stress intensity level is larger than the specimen thickness.

• 한국환경과학회지
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• 제28권2호
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• pp.211-217
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• 2019

A Numerical modeling approach is usually applied to reproduce the physical phenomena of a fill dam-break. The accuracy of the dam-break model depends on the physical structure that defines input variables such as the storage volume, breach formation and progress, and the parameters of the model, which are subjective as they are prescribed by users. In this study, a sensitivity analysis was performed for the nonlinear breach progression curve that was already developed, which includes four parameters. The study focuses on the two of the parameters which control the breach forming time and peak discharge. The model is coupled with a two-dimensional flood simulation model (FLO-2D) to examine flood coverage and depth. It is generally observed that the parameter ${\beta}$ controls only the breach forming time, the parameter ${\gamma}$ is particularly sensitive to the peak flow.

• 한국수자원학회논문집
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• 제46권12호
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• pp.1181-1191
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• 2013

다목적댐 저수지는 여름철에 발생하는 성층현상이 발생하고 가을철에는 성층화된 저수지의밀도 차로 인한 전도현상이 일어나게 된다. 이러한 현상은 저수지의 시공간적 수온분포의 변화에 의하여 발생하며, 이를 정확히 모의하고 예측하기 위해서는 수온에 작용하는 관련 매개변수의 작용특성을 명확히 파악할 필요가 있다. 이에 본 연구에서는 합천댐 저수지를 대상으로 횡방향 평균 2차원 저수지 수리 수질 해석모형인 CE-QUAL-W2를 적용하여 저수지내 발생하는 수온성층, 탁수의 거동 및 수질을 예측하기 위해 선행되어야 할 수온모의를 통해 합천댐 저수지에 적합한 수온 매개변수 산정에 대한 연구를 진행하였다. 특히 모델에서 합천댐 수온모의와 관련된 매개변수 중 바람차폐계수(WSC), 복사열계수(BETA), 빛소멸계수(EXH2O), 바닥 열교환계수(CBHE)의 민감도 분석을 수행하였다. 첫 번째로, 민감도가 높은 기간을 확인한 결과 WSC, BETA, EXH2O는 공통적으로 4~9월, CBHE는 8~11월로 나타났다. 두 번째로, 매개변수가 영향을 미치는 수심대를 확인한 결과 BETA는 0~9m, EXH2O는 8~14m 구간으로, 수표면과 가까운 표층과 수온약층, CBHE는 바닥에서부터 12m 구간으로 심층구간에서 영향이 나타났다. 마지막으로 연단위 혹은 각월에서의 최적매개변수를 적용한 결과 WSC와 CBHE 매개변수는 모의온도의 편차가 그다지 크지 않았으나, BETA와 EXH2O의 경우 연단위와 월단위 최적매개변수 적용 시 모의수온편차가 각각 월평균 $0.20^{\circ}C$와 $0.51^{\circ}C$로 다소 큰 값을 보이고 있으며, 특히 수온이 최대로 상승하는 5~8월 중에는 $0.4^{\circ}C$와 $1.09^{\circ}C$의 편차를 보여 월단위 매개변수사용의 필요성이 뚜렷이 확인되었다. 이는 현재 저수지수질모형의 검보정에서 입력요구조건에 따라 혹은 관행적으로 사용되고 있는 연단위 매개변수의 사용에 있어서 월단위로의 개선이 필요한 부분으로 사료된다.

• 대한수학회논문집
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• 제34권2호
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• pp.401-414
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• 2019

Let ${\mathcal{F}}$ denote an algebraically closed field with characteristic not two. Fix an integer $d{\geq}3$, let $Mat_{d+1}({\mathcal{F}})$ denote the ${\mathcal{F}}$-algebra of $(d+1){\times}(d+1)$ matrices with entries in ${\mathcal{F}}$. An ordered pair of matrices A, $A^*$ in $Mat_{d+1}({\mathcal{F}})$ is said to be LB-TD form whenever A is lower bidiagonal with subdiagonal entries all 1 and $A^*$ is irreducible tridiagonal. Let A, $A^*$ be a Leonard pair in $Mat_{d+1}({\mathcal{F}})$ with fundamental parameter ${\beta}=2$, with this assumption there are four families of Leonard pairs, Racah, Hahn, dual Hahn, Krawtchouk type. In this paper we show from these four families only Racah and Krawtchouk have LB-TD form.