Skip to main content
Log in

Discriminant analysis applied to the forecasting of thunderstorms

  • Published:
Meteorology and Atmospheric Physics Aims and scope Submit manuscript

Summary

The combination of several thermodynamic variables based upon the data provided by a radiosounding can be useful for the forecasting of thunderstorms. As a matter of fact, there are many indices that allow the establishment of a storm risk prediction once they have been gauged. The problem comes when not all indices lead to the same prediction. In these cases, it is necessary to establish one single function based on the information provided by all the variables employed, which should be able to determine a two-fold prediction: risk or no risk. This article presents a statistic model for the short tem prediction of thunderstorms in the region of León (Spain). To reach this aim 15 meteorological variables were selected. These variables were easy to handle by non-expert staff, and they allowed the characterisation of the preconvective environment early in the morning on thunderstorm days. The variables have been properly combined and gauged with the help of a dense network of meteorological observers. The result has led to the construction of a reliable model. The discriminant quadratic model has been easily applied to determine in an objective and binary way the risk/no risk for the occurrence of thunderstorms.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Box, G. E. P., 1949: A general distribution theory for a class of likelihood criteria.Biometrika,36, 317–346.

    Google Scholar 

  • Cuadras, C. M., 1991:Métodos de Análisis Multivariante. Barcelona: Promociones y Publicaciones Universitarias S. A., 644 pp.

    Google Scholar 

  • Dobryshman, E. M., 1972:Review of Forecasting Verification Techniques, Geneva: WMO, Technical Note No. 120, 51 pp.

    Google Scholar 

  • Doswell III, C. A., Davies-Jones, R., Keller, D. L., 1990: On summary measures of skill in rare event forecasting based on contingency tables.Wea. Forecasting,5, 576–585.

    Google Scholar 

  • Fraile, R., Castro, A., Marcos, J. L., Vega, A., Sánchez, J. L., 1994: On hail detection at the ground.Proceedings of Sixth WMO Scientific Conference on Weather Modification, Paestum, WMO, 201–204.

  • Galway, J. G., 1956: The lifted index as a predictor of latent instability.Bull. Amer. Meteor. Soc.,37, 528–529.

    Google Scholar 

  • George, J. J., 1960:Weather Forecasting for Aeronamics. San Diego: Academic Press, 411 pp.

    Google Scholar 

  • Huntrieser, H., Schiesser, H. H., Schmid, W., Waldvogel, A., 1997: Comparison of traditional and newly developed thunderstorm indices for Switzerland.Wea. Forecasting,12, 108–125.

    Google Scholar 

  • Jacovides, C. P., Yonetani, T., 1990: An evaluation of stability indices for thunderstorm prediction in Greater Cyprus.Wea. Forecasting,5, 559–569.

    Google Scholar 

  • Jansà, A., 1997: A general view about Mediterranean meteorolgy: cyclones and hazardous weather,INM/WMO International Symposium on Cyclones and Hazar dous Weather in the Mediterranean, Palma de Mallorca, 33–42.

  • Litynska, Z., Parfiniewicz, J., Pinkowski, H., 1976:The Prediction of Air Mass Thunderstorms and Hails. Geneva: WMO, vol. 450, 128–130.

    Google Scholar 

  • Llasat, M. C., Gibergans, J., Guilbaud, S., Rodríguez, J. Y., 1997: The use of the vertical thermodynamic data in the daily classification. Application to the improvement of an analog technique.INM/WMO International Symposium on Cyclones and Hazardous Weather in the Mediterranean, Palma de Mallorca, 395–402.

  • McLachlan, G. J., 1992:Discriminant Analysis and Statistical Pattern Recognition. New York: John Wiley, 526 pp.

    Google Scholar 

  • Miller, R. C., 1976:Notes on Analysis and Servere Storms Forecasting Procedure of the Air Force Global Weather Central, AWS Technical Report n. 200, Air force GWC, Offutt AFB, NE.

    Google Scholar 

  • Panofsky, H. A., Brier, G. W., 1958:Some Applications of Statistics to Meteorology. University Park: Pennsylvania State University Press, 224 pp.

    Google Scholar 

  • Sánchez, J. L., Castro, A., Fraile, R., de la Madrid, J. L., 1991: Some characteristics of severe storms on León and Zamora (Spain).II International Meeting on Agriculture and Weather Modification. Zamora, 1–10.

  • Sánchez, J. L., Castro, A., Marcos, J. L., de la Fuente, M. T., Fraile, R., 1994: Criteria for a remote ground generator network in León (Spain).J. Wea Mod.,26, 83–88.

    Google Scholar 

  • Sánchez, J. L., Fraile, R., Castro, A., de la Fuente, M. T., Marcos, J. L., 1996a: Some potential errors in the identification of hail swaths and seeded storms.J. Wea. Mod.,28, 75–82.

    Google Scholar 

  • Sánchez, J. L., Fraile, R., de la Madrid, J. L., de la Fuente, M. T., Rodríguez, P., Castro, A., 1996b: Crop Damage: The hail size factor.J. Appl. Meteor.,35, 1535–1541.

    Google Scholar 

  • Sánchez, J. L., Marcos, J. L., de la Fuente, M. T., Castro, A., 1998: A logistic regression model applied to short term forecast of hail risk.Physics and Chemistry of the Earth, (in press).

  • Schultz, P., 1989: Relationships of several stability indices to convective weather events in Northeast Colorado.Wea. Forecasting,4, 73–80.

    Google Scholar 

  • Showalter, A. K., 1953: A stability index for thunderstorm forecasting.Bull. Amer. Meteor. Soc.,34, 250–252.

    Google Scholar 

  • Tudurí, E., Ramis, C., 1997: The environments of significant convective events in the westerm Mediterranean.Wea Forecasting.,12, 294–306.

    Google Scholar 

  • Wilks, D. S., 1995:Statistical Methods in Atmospheric Sciences. San Diego: Academic Press, 467 pp.

    Google Scholar 

  • Woodcock, F., 1976: The evaluation of yes/no forecasts for scientific and administrative purposes.Mon. Wea. Rev.,104, 1209–1214.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

With 5 Figures

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sánchez, J.L., Fraile, R., de la Fuente, M.T. et al. Discriminant analysis applied to the forecasting of thunderstorms. Meteorl. Atmos. Phys. 68, 187–195 (1998). https://doi.org/10.1007/BF01030210

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01030210

Keywords

Navigation