Abstract
Modern data analyses of hourly temperature records reveal the existence, in addition to the daily cycle, of multiple forcings of different frequencies. As a result the routine approach of estimating daily local mean temperature directly from the average of the minimum and maximum is heavily compromised. A simple dynamical model subjected to two periodic forcings of different frequencies, amplitudes and phases is solved analytically and shown to induce substantial deviations from the min–max method that depend crucially on the values of the parameters involved.
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References
Berkes P, Wiskott L (2005) Slow feature analysis yields a rich repertoire of complex cells. J Vis 5(6):579–602
Bernhardt J, Carleton AM, LaMagna C (2018) A comparison of daily temperature-averaging methods: spatial variability and recent change for the CONUS. J Clim. https://doi.org/10.1175/jcli-d-17-0089.1
Dall’Amico M, Horsteiner M (2006) A simple method for estimating daily and monthly mean temperatures from daily minima and maxima. Int J Climatol 26:1929–1936
Gershunov A, Cayan DR, Iacobellis S (2009) The great heat wave over California and Nevada: signals of an increasing trend. J Clim 22:6181–6203
Guirguis K, Gershunov A, Cayan DR, Pierce D (2017) Heat wave probability in the changing climate of the Southwest US. Clim Dyn. https://doi.org/10.1007/s00382-017-3850-3
Ma Y, Guttorp P (2013) Estimating daily mean temperature from synoptic climate observations. Int J Climatol 33:1264–1269
Torrence C, Combo GP (1998) A practical guide to wavelet analysis. Bull Am Meteor Soc 79(1):61–78
Wiskott L (2003) Estimating driving forces of nonstationary time series with slow feature analysis. http://arxiv.org/abs/cond-mat/0312317/
Wiskott L, Sejnowski TJ (2002) Slow feature analysis: unsupervised learning of invariance. Neural Comput 14:715–770
Wiskott L et al (2011) Slow feature analysis. Scholarpedia 6(4):5282. https://doi.org/10.4249/scholapedia.5282
Yang P, Wang G, Zhang F, Zhou X (2015) Causality of global warming seen from observations: a scale analysis of driving force of the surface air temperature time series in the Northern Hemisphere. Clim Dyn. https://doi.org/10.1007/s00382-015-2761-4
Acknowledgements
Part of this work was supported by the National Key R&D Program of China (2017YFC1501804), the National Natural Science Foundation of China (91737102 and 41575058).
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Tsonis, A.A., Pan, X., Wang, G. et al. On the min–max estimation of mean daily temperatures. Clim Dyn 53, 1981–1989 (2019). https://doi.org/10.1007/s00382-019-04757-6
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DOI: https://doi.org/10.1007/s00382-019-04757-6