Estimations of Initial Errors Growth in Weather Prediction by Low-dimensional Atmospheric Model

  • Hynek Bednář
  • Aleš Raidl
  • Jiří Mikšovský
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 289)


Initial errors in weather prediction grow in time. As errors become larger, their growth slows down and then stops at an asymptotic value. Time of reaching this value represents the limit of predictability. Other time limits that measure the error growth are doubling time τ d, and times when the forecast error reaches 95%, 71%, 50%, and 25% of the limit of predictability. This paper studies asymptotic value and time limits in a low-dimensional atmospheric model for five initial errors, using ensemble prediction method as well as error approximation by quadratic and logarithmic hypothesis. We show that quadratic hypothesis approximates the model data better for almost all initial errors and time lengths. We also demonstrate that both hypotheses can be further improved to achieve even better match of the asymptotic value and time limits with the model.


Chaos Atmosphere Prediction Error growth 


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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Hynek Bednář
    • 1
  • Aleš Raidl
    • 1
  • Jiří Mikšovský
    • 1
  1. 1.Department of Meteorology and Environment Protection, Faculty of Mathematics and PhysicsCharles University in PraguePragueCzech Republic

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