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An Intelligent Technique for Forecasting Spatially Correlated Time Series

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AI*IA 2013: Advances in Artificial Intelligence (AI*IA 2013)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 8249))

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Abstract

The analysis of spatial autocorrelation has defined a new paradigm in ecology. Attention to spatial pattern leads to insights that would otherwise overlooked, while ignoring space may lead to false conclusions about ecological relationships. In this paper, we propose an intelligent forecasting technique, which explicitly accounts for the property of spatial autocorrelation when learning linear autoregressive models (ARIMA) of spatial correlated ecologic time series. The forecasting algorithm makes use of an autoregressive statistical technique, which achieves accurate forecasts of future data by taking into account temporal and spatial dimension of ecologic data. It uses a novel spatial-aware inference procedure, which permits to learn the autoregressive model by processing a time series in a neighborhood (spatial lags). Parameters of forecasting models are jointly learned on spatial lags of time series. Experiments with ecologic data investigate the accuracy of the proposed spatial-aware forecasting model with respect to the traditional one.

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References

  1. Box, G.E.P., Jenkins, G.M.: Time Series Analysis: Forecasting and Control, 3rd edn. Prentice Hall PTR, Upper Saddle River (1994)

    MATH  Google Scholar 

  2. Brockwell, P., Davis, R.: Time Series: Theory and Methods, 2nd edn. Springer (2009)

    Google Scholar 

  3. Lee, Y.C., Tong, L.: Forecasting time series using a methodology based on autoregressive integrated moving average and genetic programming. Knowledge-Based Systems (24), 66–72 (2011)

    Google Scholar 

  4. Canova, F., Hansen, B.: Are seasonal patterns constant over time? a test for seasonal stability. Journal of Business and Economic Statistics (13), 237–252 (1995)

    Google Scholar 

  5. Dubin, R.A.: Spatial autocorrelation: A primer. Journal of Housing Economics 7, 304–327 (1998)

    Article  Google Scholar 

  6. Goodchild, M.: Spatial autocorrelation. Geo Books (1986)

    Google Scholar 

  7. B.H.: Introduction to Multiple Time Series Analysis. Springer (1993)

    Google Scholar 

  8. Hyndman, R., Khandakar, Y.: Automatic time series forecasting: The forecast package for r. Journal of Statistical Software 26(3) (2008)

    Google Scholar 

  9. Kamarianakis, Y., Prastacos, P.: Space-time modeling of traffic flow. Comput. Geosci. 31(2), 119–133 (2005)

    Article  Google Scholar 

  10. Kwiatkowski, D., Phillips, P., Schmidt, P., Shin, Y.: Testing the null hypothesis of stationarity against the alternative of a unit root. Journal of Econometrics (54), 159–178 (1992)

    Google Scholar 

  11. Moran, P.: Notes on continuous stochastic phenomena. Biometrika 37(1-2), 17–23 (1950)

    Article  MathSciNet  MATH  Google Scholar 

  12. Sershenfeld, N.A., Weigend, A.S.G.: The future of time series. In: Gershenfeld, A.N., Weigen, A.S. (eds.) Time Series Prediction: Forecasting the Future and Understanding the Past, pp. 1–70 (1993)

    Google Scholar 

  13. Tobler, W.: A computer movie simulating urban growth in the Detroit region. Economic Geography 46(2), 234–240 (1970)

    Article  Google Scholar 

  14. Yan, Z.: Traj-arima: a spatial-time series model for network-constrained trajectory. In: Geers, D.G., Timpf, S. (eds.) Proceedings of the Second International Workshop on Computational Transportation Science, pp. 11–16. ACM (2010)

    Google Scholar 

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Pravilovic, S., Appice, A., Malerba, D. (2013). An Intelligent Technique for Forecasting Spatially Correlated Time Series. In: Baldoni, M., Baroglio, C., Boella, G., Micalizio, R. (eds) AI*IA 2013: Advances in Artificial Intelligence. AI*IA 2013. Lecture Notes in Computer Science(), vol 8249. Springer, Cham. https://doi.org/10.1007/978-3-319-03524-6_39

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  • DOI: https://doi.org/10.1007/978-3-319-03524-6_39

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-03523-9

  • Online ISBN: 978-3-319-03524-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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