Multi-Step-Ahead Forecasting Model for Monthly Anchovy Catches Based on Wavelet Analysis

This paper presents a p-step-ahead forecasting strategy based on two stages to improve pelagic fish-catch time-series modeling by considering annual and interannual fluctuations for northern Chile (18°S–24°S). In the first stage, the stationary wavelet transform is used to separate the raw time seri...

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Main Authors: Nibaldo Rodríguez, Claudio Cubillos, José-Miguel Rubio
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/798464
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author Nibaldo Rodríguez
Claudio Cubillos
José-Miguel Rubio
author_facet Nibaldo Rodríguez
Claudio Cubillos
José-Miguel Rubio
author_sort Nibaldo Rodríguez
collection DOAJ
description This paper presents a p-step-ahead forecasting strategy based on two stages to improve pelagic fish-catch time-series modeling by considering annual and interannual fluctuations for northern Chile (18°S–24°S). In the first stage, the stationary wavelet transform is used to separate the raw time series into an annual component and an interannual component, whereas the periodicities of each component are obtained using the Morlet wavelet power spectrum. In the second stage, a linear autoregressive model is constructed to predict each component and the unknown p-next values are forecasted by the addition of the two predicted components. We demonstrate the utility of the proposed forecasting model on monthly anchovy-catches time series for periods from January 1963 to December 2007. Empirical results obtained for 10-month-ahead forecasting showed the effectiveness of the proposed wavelet autoregressive strategy.
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institution Kabale University
issn 1110-757X
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language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-95fdca7b43554a9498a6650c45f718a52025-02-03T05:51:18ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/798464798464Multi-Step-Ahead Forecasting Model for Monthly Anchovy Catches Based on Wavelet AnalysisNibaldo Rodríguez0Claudio Cubillos1José-Miguel Rubio2School of Informatics Engineering, Pontificia Universidad Católica de Valparaíso, 2362807 Valparaíso, ChileSchool of Informatics Engineering, Pontificia Universidad Católica de Valparaíso, 2362807 Valparaíso, ChileSchool of Informatics Engineering, Pontificia Universidad Católica de Valparaíso, 2362807 Valparaíso, ChileThis paper presents a p-step-ahead forecasting strategy based on two stages to improve pelagic fish-catch time-series modeling by considering annual and interannual fluctuations for northern Chile (18°S–24°S). In the first stage, the stationary wavelet transform is used to separate the raw time series into an annual component and an interannual component, whereas the periodicities of each component are obtained using the Morlet wavelet power spectrum. In the second stage, a linear autoregressive model is constructed to predict each component and the unknown p-next values are forecasted by the addition of the two predicted components. We demonstrate the utility of the proposed forecasting model on monthly anchovy-catches time series for periods from January 1963 to December 2007. Empirical results obtained for 10-month-ahead forecasting showed the effectiveness of the proposed wavelet autoregressive strategy.http://dx.doi.org/10.1155/2014/798464
spellingShingle Nibaldo Rodríguez
Claudio Cubillos
José-Miguel Rubio
Multi-Step-Ahead Forecasting Model for Monthly Anchovy Catches Based on Wavelet Analysis
Journal of Applied Mathematics
title Multi-Step-Ahead Forecasting Model for Monthly Anchovy Catches Based on Wavelet Analysis
title_full Multi-Step-Ahead Forecasting Model for Monthly Anchovy Catches Based on Wavelet Analysis
title_fullStr Multi-Step-Ahead Forecasting Model for Monthly Anchovy Catches Based on Wavelet Analysis
title_full_unstemmed Multi-Step-Ahead Forecasting Model for Monthly Anchovy Catches Based on Wavelet Analysis
title_short Multi-Step-Ahead Forecasting Model for Monthly Anchovy Catches Based on Wavelet Analysis
title_sort multi step ahead forecasting model for monthly anchovy catches based on wavelet analysis
url http://dx.doi.org/10.1155/2014/798464
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AT josemiguelrubio multistepaheadforecastingmodelformonthlyanchovycatchesbasedonwaveletanalysis