PROBABILISTIC LONG RANGE FORECAST SYSTEM FOR OIL SPILL TRAJECTORIES IN THE GULF OF BISCAY (SPAIN)

2014 ◽  
Vol 2014 (1) ◽  
pp. 299721
Author(s):  
Mar Cárdenas ◽  
Ana J. Abascal ◽  
Sonia Castanedo ◽  
Yanira Guanche ◽  
Fernando J. Méndez ◽  
...  

The increasing number of accidental oil spills has motivated the development and implementation of operational oceanography systems (OOS) to help in the decision process during oil spill emergency situations. Currently, most of the national and regional OOS have been setup for short-term (up to 5 days) oil spill forecast. However, recent accidental oil spills such as Prestige in Spain (2002) or Deep Horizon in Gulf of Mexico (2010), have revealed the importance of having larger prediction horizons (up to 30 days) in regional-scale areas. In this work, we have developed a stochastic methodology based on the combination of clustering algorithms and Markov chains of first order to provide medium term (15–30 days) probabilistic oil spill forecasts. The method encompasses the following steps: (1) classification of representative atmospheric patterns using clustering techniques (PCA and k-means [1]); (2) determination the transition probability matrix associated with the Markov chain. The element of the transition matrix (pij) represents the probability of moving from a cluster “i” to a cluster “j” in one time step. In case an accident occurs, the Markov chain provides through the transition probability matrix, the evolution of ocean-atmospheric conditions during the forecasting period; (3) this result is used to force TESEO Lagrangian transport model [2] which allows the characterization of trajectories in probabilistic terms during the forecasting period. The methodology has been applied in the Gulf of Biscay (Spain) to simulate the evolution of oil slick observations and drifter buoys gathered during the Prestige accident. The cumulative probability maps have been compared with these data (oil slicks observations and drifter data), showing that actual trajectories are consistent with the probability of contamination obtained. Results seem promising and we expect to reduce uncertainty by incorporating autoregressive logistic models to help improving the possible evolution of the ocean-atmospheric conditions. A detailed description of the methodology, application and validation will be shown in the presentation and in the final paper.

Author(s):  
Igal Berenshtein ◽  
Shay O’Farrell ◽  
Natalie Perlin ◽  
James N Sanchirico ◽  
Steven A Murawski ◽  
...  

Abstract Major oil spills immensely impact the environment and society. Coastal fishery-dependent communities are especially at risk as their fishing grounds are susceptible to closure because of seafood contamination threat. During the Deepwater Horizon (DWH) disaster for example, vast areas of the Gulf of Mexico (GoM) were closed for fishing, resulting in coastal states losing up to a half of their fishery revenues. To predict the effect of future oil spills on fishery-dependent communities in the GoM, we develop a novel framework that combines a state-of-the-art three-dimensional oil-transport model with high-resolution spatial and temporal data for two fishing fleets—bottom longline and bandit-reel—along with data on the social vulnerability of coastal communities. We demonstrate our approach by simulating spills in the eastern and western GoM, calibrated to characteristics of the DWH spill. We find that the impacts of the eastern and western spills are strongest in the Florida and Texas Gulf coast counties respectively both for the bandit-reel and the bottom longline fleets. We conclude that this multimodal spatially explicit quantitative framework is a valuable management tool for predicting the consequences of oil spills at locations throughout the Gulf, facilitating preparedness and efficient resource allocation for future oil-spill events.


1996 ◽  
Vol 33 (03) ◽  
pp. 623-629 ◽  
Author(s):  
Y. Quennel Zhao ◽  
Danielle Liu

Computationally, when we solve for the stationary probabilities for a countable-state Markov chain, the transition probability matrix of the Markov chain has to be truncated, in some way, into a finite matrix. Different augmentation methods might be valid such that the stationary probability distribution for the truncated Markov chain approaches that for the countable Markov chain as the truncation size gets large. In this paper, we prove that the censored (watched) Markov chain provides the best approximation in the sense that, for a given truncation size, the sum of errors is the minimum and show, by examples, that the method of augmenting the last column only is not always the best.


2019 ◽  
Vol 91 (4) ◽  
pp. 648-653
Author(s):  
Aleksandrs Urbahs ◽  
Vladislavs Zavtkevics

Purpose This paper aims to analyze the application of remotely piloted aircraft (RPA) for remote oil spill sensing. Design/methodology/approach This paper is an analysis of RPA strong points. Findings To increase the accuracy and eliminate potentially false contamination detection, which can be caused by external factors, an oil thickness measurement algorithm is used with the help of the multispectral imaging that provides high accuracy and is versatile for any areas of water and various meteorological and atmospheric conditions. Research limitations/implications SWOT analysis of implementation of RPA for remote sensing of oil spills. Practical implications The use of RPA will improve the remote sensing of oil spills. Social implications The concept of oil spills monitoring needs to be developed for quality data collection, oil pollution control and emergency response. Originality/value The research covers the development of a method and design of a device intended for taking samples and determining the presence of oil contamination in an aquatorium area; the procedure includes taking a sample from the water surface, preparing it for transportation and delivering the sample to a designated location by using the RPA. The objective is to carry out the analysis of remote oil spill sensing using RPA. The RPA provides a reliable sensing of oil pollution with significant advantages over other existing methods. The objective is to analyze the use of RPA employing all of their strong points. In this paper, technical aspects of sensors are analyzed, as well as their advantages and limitations.


2018 ◽  
Vol 28 (5) ◽  
pp. 1552-1563 ◽  
Author(s):  
Tunny Sebastian ◽  
Visalakshi Jeyaseelan ◽  
Lakshmanan Jeyaseelan ◽  
Shalini Anandan ◽  
Sebastian George ◽  
...  

Hidden Markov models are stochastic models in which the observations are assumed to follow a mixture distribution, but the parameters of the components are governed by a Markov chain which is unobservable. The issues related to the estimation of Poisson-hidden Markov models in which the observations are coming from mixture of Poisson distributions and the parameters of the component Poisson distributions are governed by an m-state Markov chain with an unknown transition probability matrix are explained here. These methods were applied to the data on Vibrio cholerae counts reported every month for 11-year span at Christian Medical College, Vellore, India. Using Viterbi algorithm, the best estimate of the state sequence was obtained and hence the transition probability matrix. The mean passage time between the states were estimated. The 95% confidence interval for the mean passage time was estimated via Monte Carlo simulation. The three hidden states of the estimated Markov chain are labelled as ‘Low’, ‘Moderate’ and ‘High’ with the mean counts of 1.4, 6.6 and 20.2 and the estimated average duration of stay of 3, 3 and 4 months, respectively. Environmental risk factors were studied using Markov ordinal logistic regression analysis. No significant association was found between disease severity levels and climate components.


2019 ◽  
Vol 1 (2) ◽  
pp. 5-10
Author(s):  
Muhammad Azka

The problem proposed in this research is about the amount rainy day per a month at Balikpapan city and discretetime markov chain. The purpose is finding the probability of rainy day with the frequency rate of rainy at the next month if given the frequency rate of rainy at the prior month. The applied method in this research is classifying the amount of rainy day be three frequency levels, those are, high, medium, and low. If a month, the amount of rainy day is less than 11 then the frequency rate for the month is classified low, if a month, the amount of rainy day between 10 and 20, then it is classified medium and if it is more than 20, then it is classified high. The result is discrete-time markov chain represented with the transition probability matrix, and the transition diagram.


2019 ◽  
Vol 3 (1) ◽  
pp. 13-22
Author(s):  
Bijan Bidabad ◽  
Behrouz Bidabad

This note discusses the existence of "complex probability" in the real world sensible problems. By defining a measure more general than the conventional definition of probability, the transition probability matrix of discrete Markov chain is broken to the periods shorter than a complete step of the transition. In this regard, the complex probability is implied.


1982 ◽  
Vol 19 (A) ◽  
pp. 321-326 ◽  
Author(s):  
J. Gani

A direct proof of the expression for the limit probability generating function (p.g.f.) of the sum of Markov Bernoulli random variables is outlined. This depends on the larger eigenvalue of the transition probability matrix of their Markov chain.


1960 ◽  
Vol 12 ◽  
pp. 278-288 ◽  
Author(s):  
John Lamperti

Throughout this paper, the symbol P = [Pij] will represent the transition probability matrix of an irreducible, null-recurrent Markov process in discrete time. Explanation of this terminology and basic facts about such chains may be found in (6, ch. 15). It is known (3) that for each such matrix P there is a unique (except for a positive scalar multiple) positive vector Q = {qi} such that QP = Q, or1this vector is often called the "invariant measure" of the Markov chain.The first problem to be considered in this paper is that of determining for which vectors U(0) = {μi(0)} the vectors U(n) converge, or are summable, to the invariant measure Q, where U(n) = U(0)Pn has components2In § 2, this problem is attacked for general P. The main result is a negative one, and shows how to form U(0) for which U(n) will not be (termwise) Abel summable.


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