• 제목/요약/키워드: Bayesian state-space model

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서해 어획대상 잠재생산량 추정을 위한 자원평가모델의 비교 분석 (Comparative analysis of stock assessment models for analyzing potential yield of fishery resources in the West Sea, Korea)

  • 최민제;김도훈;최지훈
    • 수산해양기술연구
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    • 제55권3호
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    • pp.206-216
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    • 2019
  • This study is aimed to compare stock assessment models depending on how the models fit to observed data. Process-error model, Observation-error model, and Bayesian state-space model for the Korean Western coast fisheries were applied for comparison. Analytical results show that there is the least error between the estimated CPUE and the observed CPUE with the Bayesian state-space model; consequently, results of the Bayesian state-space model are the most reliable. According to the Bayesian State-space model, potential yield of fishery resources in the West Sea of Korea is estimated to be 231,949 tons per year. However, the results show that the fishery resources of West Sea have been decreasing since 1967. In addition, the amounts of stock in 2013 are assessed to be only 36% of the stock biomass at MSY level. Therefore, policy efforts are needed to recover the fishery resources of West Sea of Korea.

붉은대게(Chinonoecetes japonicus) 자원평가를 위한 잉여생산량모델의 비교 분석 (Comparative Analysis on Surplus Production Models for Stock Assessment of Red Snow Crab Chinonoecetes japonicus)

  • 최지훈;김도훈;오택윤;서영일;강희중
    • 한국수산과학회지
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    • 제53권6호
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    • pp.925-933
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    • 2020
  • This study is aimed to compare stock assessment models which are effective in assessing red snow crab Chinonoecetes japonicus resources and to select and apply an effective stock assessment model in the future. In order to select an effective stock assessment model, a process-error model, observation-error model, and a Bayesian state-space model were estimated. Analytical results show that the least error is observed between the estimated CPUE (catch per unit effort) and the observed CPUE when using the Bayesian state-space model. For the Bayesian state-space model, the 95% credible interval(CI) ranges for the maximum sustainable yield (MSY), carrying capacity (K), catchability coefficient (q), and intrinsic growth (r) are estimated to be 10,420-47,200 tons, 185,200-444,800 tons, 3.81E-06-9.02E-06, and 0.14-0.66, respectively. The results show that the Bayesian state-space model was most reliable among models.

Bayesian Estimation of State-Space Model Using the Hybrid Monte Carlo within Gibbs Sampler

  • Park, Ilsu
    • Communications for Statistical Applications and Methods
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    • 제10권1호
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    • pp.203-210
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    • 2003
  • In a standard Metropolis-type Monte Carlo simulation, the proposal distribution cannot be easily adapted to "local dynamics" of the target distribution. To overcome some of these difficulties, Duane et al. (1987) introduced the method of hybrid Monte Carlo(HMC) which combines the basic idea of molecular dynamics and the Metropolis acceptance-rejection rule to produce Monte Carlo samples from a given target distribution. In this paper, using the HMC within Gibbs sampler, an asymptotical estimate of the smoothing mean and a general solution to state space modeling in Bayesian framework is obtaineds obtained.

구조변화가 발생한 단순 상태공간모형에서의 적응적 예측을 위한 베이지안접근 (A Bayesian Approach for the Adaptive Forecast on the Simple State Space Model)

  • 전덕빈;임철주;이상권
    • 대한산업공학회지
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    • 제24권4호
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    • pp.485-492
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    • 1998
  • Most forecasting models often fail to produce appropriate forecasts because we build a model based on the assumption of the data being generated from the only one stochastic process. However, in many real problems, the time series data are generated from one stochastic process for a while and then abruptly undergo certain structural changes. In this paper, we assume the basic underlying process is the simple state-space model with random level and deterministic drift but interrupted by three types of exogenous shocks: level shift, drift change, outlier. A Bayesian procedure to detect, estimate and adapt to the structural changes is developed and compared with simple, double and adaptive exponential smoothing using simulated data and the U.S. leading composite index.

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효과적인 자원평가모델 선정을 위한 잉여생산량모델의 비교 분석: 동해 생태계의 잠재생산량 분석을 대상으로 (Comparing Surplus Production Models for Selecting Effective Stock Assessment Model: Analyzing Potential Yield of East Sea, Republic of Korea)

  • 최민제;김도훈
    • Ocean and Polar Research
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    • 제41권3호
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    • pp.183-191
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    • 2019
  • This study sought to find which model is most appropriate for estimating potential yield in the East Sea, Republic of Korea. For comparison purposes, the Process-error model, ASPIC model, Maximum entropy model, Observation-error model, and Bayesian state-space model were applied using data from catch amounts and total efforts of the whole catchable fishes in the East Sea. Results showed that the Bayesian state-space model was estimated to be the most reliable among the models. Potential yield of catchable species was estimated to be 227,858 tons per year. In addition, it was analyzed that the amount of fishery resources in 2016 was about 63% of the biomass that enables a fish stock to deliver the maximum sustainable yield.

Bayesian state-space 모델을 이용한 말쥐치 자원평가 및 관리효과 분석 (Assessing Stock Biomass and Analyzing Management Effects Regarding the Black Scraper (Thamnaconus modestus) Using Bayesian State-space Model)

  • 최민제;김도훈;이해원;서영일;이성일
    • Ocean and Polar Research
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    • 제42권1호
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    • pp.63-76
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    • 2020
  • This study sought to assess the stock status and analyze the management effects with regard to the Black scraper, which is one of the more commercially important species in Korea. The catch amounts of Black scraper have significantly decreased since 1991. In this analysis, a Bayesian state-space model was utilized to assess the biomass of the Black scraper given the limited data. Model results showed that MSY and BMSY of Black scraper were estimated to be 26,587 tons and 365,200 tons, respectively. In addition, the current biomass level of the Black scraper was assessed to be only 2.1% (7,549 tons) of BMSY. For this reason, the effects of a moratorium policy on the Black scraper were evaluated. The results showed that if such a moratorium policy was implemented, it would take at least 18-40 years to restore the biomass level of the Black scraper to BMSY depending upon its growth rates.

A Bayesian state-space production model for Korean chub mackerel (Scomber japonicus) stock

  • Jung, Yuri;Seo, Young Il;Hyun, Saang-Yoon
    • Fisheries and Aquatic Sciences
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    • 제24권4호
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    • pp.139-152
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    • 2021
  • The main purpose of this study is to fit catch-per-unit-effort (CPUE) data about Korea chub mackerel (Scomber japonicus) stock with a state-space production (SSP) model, and to provide stock assessment results. We chose a surplus production model for the chub mackerel data, namely annual yield and CPUE. Then we employed a state-space layer for a production model to consider two sources of variability arising from unmodelled factors (process error) and noise in the data (observation error). We implemented the model via script software ADMB-RE because it reduces the computational cost of high-dimensional integration and provides Markov Chain Monte Carlo sampling, which is required for Bayesian approaches. To stabilize the numerical optimization, we considered prior distributions for model parameters. Applying the SSP model to data collected from commercial fisheries from 1999 to 2017, we estimated model parameters and management references, as well as uncertainties for the estimates. We also applied various production models and showed parameter estimates and goodness of fit statistics to compare the model performance. This study presents two significant findings. First, we concluded that the stock has been overexploited in terms of harvest rate from 1999 to 2017. Second, we suggest a SSP model for the smallest goodness of fit statistics among several production models, especially for fitting CPUE data with fluctuations.

비선형 상태공간 모델을 위한 Point-Mass Filter 연구 (A Study on the Point-Mass Filter for Nonlinear State-Space Models)

  • 최영권
    • 산업기술연구
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    • 제43권1호
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    • pp.57-62
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    • 2023
  • In this review, we introduce the non-parametric Bayesian filtering algorithm known as the point-mass filter (PMF) and discuss recent studies related to it. PMF realizes Bayesian filtering by placing a deterministic grid on the state space and calculating the probability density at each grid point. PMF is known for its robustness and high accuracy compared to other nonparametric Bayesian filtering algorithms due to its uniform sampling. However, a drawback of PMF is its inherently high computational complexity in the prediction phase. In this review, we aim to understand the principles of the PMF algorithm and the reasons for the high computational complexity, and summarize recent research efforts to overcome this challenge. We hope that this review contributes to encouraging the consideration of PMF applications for various systems.

한국 해역의 살오징어(Todarodes pacificus) 개체군 자원평가를 위한 베이지안 상태공간 잉여생산량 모델의 적용 (A Bayesian State-space Production Assessment Model for Common Squid Todarodes pacificus Stock Caught by Multiple Fisheries in Korean Waters)

  • 안동영;김규한;강희중;현상윤
    • 한국수산과학회지
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    • 제54권5호
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    • pp.769-781
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    • 2021
  • Given data about the annual fishery yield of the common squid Todarodes pacificus, and the catch-per-unit-effort (CPUE) data from multiple fisheries from 2000-2018, we applied a Bayesian state - space assessment model for the squid population. One of our objectives was to do a stock assessment, simultaneously incorporating CPUE data from the following three fisheries, (i) large trawl, (ii) jigger, and (iii) large purse seine, which comprised on average a year about 65% of all fisheries, allowing possible correlations to be reflected. Other objectives were to consider both observation and process errors and to apply objective priors of parameters. The estimated annual exploitable biomass was in the range of 3.50×105 to 1.22×106 MT, the estimated intrinsic growth rate was 1.02, and the estimated carrying capacity was 1,151,259 MT. Comparison with available results from stock assessment of independently analyzed single fisheries revealed a large difference from the estimated values, suggesting that stock assessment based on multiple fisheries should be performed.

SOFR 기간 데이터에 대한 동적 넬슨-시겔 이자율 곡선의 베이지안 접근법 (A Bayesian approach for dynamic Nelson-Siegel yield curve modeling on SOFR term rate data)

  • 임성호;황범석
    • 응용통계연구
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    • 제36권4호
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    • pp.349-360
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    • 2023
  • 동적 넬슨-시겔 모형은 채권과 같은 기간 구조를 갖고 있는 금융상품의 이자율 곡선모형에서 널리 사용되고 있다. 본 연구에서는 동적 넬슨-시겔 모형을 상태 공간 모형의 관점에서 설명하고 해당 모형에 적용할 수 있는 베이지안 접근법에 대해 알아보고자 한다. 그리고 SOFR 기간 데이터를 베이지안 동적 넬슨-시겔 모형에 적용하여 그 성능을 확인하고 바시첵 모형, 빈도주의 접근법을 활용한 동적 넬슨-시겔 모형, 2요인 베이지안 동적 넬슨-시겔 모형과 같은 다른 경쟁 모형들과 성능을 비교해보고자 한다. 우리는 베이지안 동적 넬슨-시겔 모형이 SOFR 기간 데이터에 대해서 다른 모형들보다 우수한 성능을 보여준다는 것을 확인할 수 있었다.