• Title/Summary/Keyword: Bayesian state-space model

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

  • CHOI, Min-Je;KIM, Do-Hoon;CHOI, Ji-Hoon
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.55 no.3
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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.

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

  • Choi, Ji-Hoon;Kim, Do-Hoon;Oh, Taeg-Yun;Seo, Young Il;Kang, Hee Joong
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.53 no.6
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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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    • v.10 no.1
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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.

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

  • Jun, Duk-Bin;Lim, Chul-Zu;Lee, Sang-Kwon
    • Journal of Korean Institute of Industrial Engineers
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    • v.24 no.4
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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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Comparing Surplus Production Models for Selecting Effective Stock Assessment Model: Analyzing Potential Yield of East Sea, Republic of Korea (효과적인 자원평가모델 선정을 위한 잉여생산량모델의 비교 분석: 동해 생태계의 잠재생산량 분석을 대상으로)

  • Choi, Min-Je;Kim, Do-Hoon
    • Ocean and Polar Research
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    • v.41 no.3
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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.

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

  • Choi, Min-Je;Kim, Do-Hoon;Lee, Hae-Won;Seo, Young-Il;Lee, Sung-Il
    • Ocean and Polar Research
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    • v.42 no.1
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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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    • v.24 no.4
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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.

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

  • Yeongkwon Choe
    • Journal of Industrial Technology
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    • v.43 no.1
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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.

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

  • An, Dongyoung;Kim, Kyuhan;Kang, Heejung;Hyun, Saang-Yoon
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.54 no.5
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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.

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

  • Seong Ho Im;Beom Seuk Hwang
    • The Korean Journal of Applied Statistics
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    • v.36 no.4
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    • pp.349-360
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    • 2023
  • Dynamic Nelson-Siegel model is widely used in modeling term structure of interest rates for financial products. In this study, we explain dynamic Nelson-Siegel model from the perspective of the state space model and explore Bayesian approaches that can be applied to that model. By applying SOFR term rate data to the Bayesian dynamic Nelson-Siegel model, we confirm the performance and compare it with other competing models such as Vasicek model, dynamic Nelson-Siegel model based on the frequentist approach, and the two-factor Bayesian dynamic Nelson-Siegel model. We also confirm that the Bayesian dynamic Nelson-Siegel model outperformed its competitors on SOFR term rate data based on RMSE.