Articles | Volume 15, issue 10
https://doi.org/10.5194/gmd-15-4147-2022
https://doi.org/10.5194/gmd-15-4147-2022
Model experiment description paper
 | 
31 May 2022
Model experiment description paper |  | 31 May 2022

Prediction error growth in a more realistic atmospheric toy model with three spatiotemporal scales

Hynek Bednář and Holger Kantz

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Cited articles

Anonymous Referee #1: Comment on gmd-2021-256, https://doi.org/10.5194/gmd-2021-256-RC1, 2021. 
Aurell, E., Boffetta, G., Crisanti, A., Paladin, G., and Vulpiani, A.: Growth of noninfinitesimal perturbations in turbulence, Phys. Rev. Lett., 77, 1262, https://doi.org/10.1103/PhysRevLett.77.1262 1996. 
Aurell, E., Boffetta, G., Crisanti, A., Paladin, G., and Vulpiani, A.: Predictability in the large: an extension of the concept of Lyapunov exponent, J. Phys. A-Math. Gen., 30, 1–26, https://doi.org/10.1088/0305-4470/30/1/003, 1997. 
Bednář, H.: Prediction error growth in a more realistic atmospheric toy model with three spatiotemporal scales, OSF [code and data set] https://doi.org/10.17605/OSF.IO/2GC9J, 2021. 
Bednář, H., Raidl, A., and Mikšovský, J.: Initial Error Growth and Predictability of Chaotic Low-dimensional Atmospheric Model, IJAC, 11, 256–264, https://doi.org/10.1007/s11633-014-0788-3 2014. 
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Short summary
A scale-dependent error growth described by a power law or by a quadratic hypothesis is studied in Lorenz’s system with three spatiotemporal levels. The validity of power law is extended by including a saturation effect. The quadratic hypothesis can only serve as a first guess. In addition, we study the initial error growth for the ECMWF forecast system. Fitting the parameters, we conclude that there is an intrinsic limit of predictability after 22 days.