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Spatio-temporal evolution of global surface temperature distributions

Published: 11 January 2021 Publication History

Abstract

Climate is known for being characterised by strong non-linearity and chaotic behaviour. Nevertheless, few studies in climate science adopt statistical methods specifically designed for non-stationary or non-linear systems. Here we show how the use of statistical methods from Information Theory can describe the non-stationary behaviour of climate fields, unveiling spatial and temporal patterns that may otherwise be difficult to recognize. We study the maximum temperature at two meters above ground using the NCEP CDAS1 daily reanalysis data, with a spatial resolution of 2.5° by 2.5° and covering the time period from 1 January 1948 to 30 November 2018. The spatial and temporal evolution of the temperature time series are retrieved using the Fisher Information Measure, which quantifies the information in a signal, and the Shannon Entropy Power, which is a measure of its uncertainty — or unpredictability. The results describe the temporal behaviour of the analysed variable. Our findings suggest that tropical and temperate zones are now characterized by higher levels of entropy. Finally, Fisher-Shannon Complexity is introduced and applied to study the evolution of the daily maximum surface temperature distributions.

References

[1]
J.C. Angulo, J. Antolín, and K.D. Sen. 2008. Fisher–Shannon plane and statistical complexity of atoms. Physics Letters A 372, 5 (2008), 670 – 674. https://doi.org/10.1016/j.physleta.2007.07.077
[2]
Fernando Arizmendi, Marcelo Barreiro, and Cristina Masoller. 2017. Identifying large-scale patterns of unpredictability and response to insolation in atmospheric data. Scientific reports 7(2017), 45676.
[3]
P. K. Bhattacharya. 1967. Estimation of a Probability Density Function and Its Derivatives. The Indian Journal of Statistics, Series A (1961-2002) 29, 4(1967), 373–382.
[4]
Matthew Collins, Reto Knutti, Julie Arblaster, Jean-Louis Dufresne, Thierry Fichefet, Pierre Friedlingstein, Xuejie Gao, William J Gutowski, Tim Johns, Gerhard Krinner, 2013. Long-term climate change: projections, commitments and irreversibility. In Climate Change 2013-The Physical Science Basis: Contribution of Working Group I to the Fifth Assessment Report of the Intergovernmental Panel on Climate Change. Cambridge University Press, 1029–1136.
[5]
Thomas M. Cover and Joy A. Thomas. 2006. Elements of Information Theory (Wiley Series in Telecommunications and Signal Processing). Wiley-Interscience, New York, NY, USA.
[6]
Noel Cressie and Christopher K Wikle. 2015. Statistics for spatio-temporal data. John Wiley & Sons.
[7]
A. Dembo, T. M. Cover, and J. A. Thomas. 1991. Information theoretic inequalities. IEEE Transactions on Information Theory 37, 6 (Nov 1991), 1501–1518. https://doi.org/10.1109/18.104312
[8]
Y. Dmitriev and F. Tarasenko. 1973. On the Estimation of Functionals of the Probability Density and Its Derivatives. Theory of Probability & Its Applications 18, 3 (1973), 628–633. https://doi.org/10.1137/1118083
[9]
Rodolfo O. Esquivel, Juan Carlos Angulo, Juan Antolín, Jesús S. Dehesa, Sheila López-Rosa, and Nelson Flores-Gallegos. 2010. Analysis of complexity measures and information planes of selected molecules in position and momentum spaces. Phys. Chem. Chem. Phys. 12 (2010), 7108–7116. Issue 26. https://doi.org/10.1039/B927055H
[10]
R. A. Fisher. 1925. Theory of Statistical Estimation. Mathematical Proceedings of the Cambridge Philosophical Society 22, 5(1925), 700–725. https://doi.org/10.1017/S0305004100009580
[11]
Christian LE Franzke. 2014. Warming trends: nonlinear climate change. Nature Climate Change 4, 6 (2014), 423.
[12]
UN GA. 2015. Transforming our world: the 2030 Agenda for Sustainable Development. Division for Sustainable Development Goals: New York, NY, USA (2015).
[13]
Virginie Guemas, Francisco J Doblas-Reyes, Isabel Andreu-Burillo, and Muhammad Asif. 2013. Retrospective prediction of the global warming slowdown in the past decade. Nature Climate Change 3, 7 (2013), 649.
[14]
Fabian Guignard, Mohamed Laib, Federico Amato, and Mikhail Kanevski. 2020. Advanced analysis of temporal data using Fisher-Shannon information: theoretical development and application in geosciences. Frontiers in Earth Science(2020).
[15]
László Györfi and Edward C. van der Meulen. 1987. Density-free convergence properties of various estimators of entropy. Computational Statistics and Data Analysis 5, 4 (1987), 425 – 436. https://doi.org/10.1016/0167-9473(87)90065-X
[16]
A Hannachi, IT Jolliffe, and DB Stephenson. 2007. Empirical orthogonal functions and related techniques in atmospheric science: A review. International Journal of Climatology: A Journal of the Royal Meteorological Society 27, 9 (2007), 1119–1152.
[17]
Mike Hulme. 2016. 1.5oC and climate research after the Paris Agreement. Nature Climate Change 6, 3 (2016), 222.
[18]
IPCC. 2018. Global Warming of 1.5oC : An IPCC Special Report on the Impacts of Global Warming of 1.5oC Above Pre-industrial Levels and Related Global Greenhouse Gas Emission Pathways, in the Context of Strengthening the Global Response to the Threat of Climate Change, Sustainable Development, and Efforts to Eradicate Poverty. Intergovernmental Panel on Climate Change.
[19]
Fei Ji, Zhaohua Wu, Jianping Huang, and Eric P Chassignet. 2014. Evolution of land surface air temperature trend. Nature Climate Change 4, 6 (2014), 462.
[20]
Harry Joe. 1989. Estimation of entropy and other functionals of a multivariate density. Annals of the Institute of Statistical Mathematics 41, 4 (01 Dec 1989), 683–697. https://doi.org/10.1007/BF00057735
[21]
Ian T Jolliffe and Jorge Cadima. 2016. Principal component analysis: a review and recent developments. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 374, 2065 (2016), 20150202.
[22]
Eugenia Kalnay, Masao Kanamitsu, Robert Kistler, William Collins, Dennis Deaven, Lev Gandin, Mark Iredell, Suranjana Saha, Glenn White, John Woollen, 1996. The NCEP/NCAR 40-year reanalysis project. Bulletin of the American meteorological Society 77, 3 (1996), 437–472.
[23]
Edward N Lorenz. 1956. Empirical orthogonal functions and statistical weather prediction. Massachusetts Institute of Technology, Department of Meteorology Cambridge (1956).
[24]
Adam H Monahan, John C Fyfe, Maarten HP Ambaum, David B Stephenson, and Gerald R North. 2009. Empirical orthogonal functions: The medium is the message. Journal of Climate 22, 24 (2009), 6501–6514.
[25]
B.L.S. Prakasa Rao. 1983. Nonparametric Functional Estimation. Academic Press.
[26]
Aurélien Ribes, Soulivanh Thao, and Julien Cattiaux. 2020. Describing the relationship between a weather event and climate change: a new statistical approach. Journal of Climate2020(2020).
[27]
Florian Sévellec and Sybren S Drijfhout. 2018. A novel probabilistic forecast system predicting anomalously warm 2018-2022 reinforcing the long-term global warming trend. Nature communications 9, 1 (2018), 3024.
[28]
C. E. Shannon. 1948. A Mathematical Theory of Communication. Bell System Technical Journal 27, 3 (1948), 379–423. https://doi.org/10.1002/j.1538-7305.1948.tb01338.x
[29]
S. J. Sheather and M. C. Jones. 1991. A Reliable Data-Based Bandwidth Selection Method for Kernel Density Estimation. Journal of the Royal Statistical Society. Series B (Methodological) 53, 3(1991), 683–690.
[30]
C. Vignat and J.-F. Bercher. 2003. Analysis of signals in the Fisher–Shannon information plane. Physics Letters A 312, 1 (2003), 27 – 33. https://doi.org/10.1016/S0375-9601(03)00570-X
[31]
M.P. Wand and M.C. Jones. 1994. Kernel Smoothing. Taylor & Francis.
[32]
Christopher K Wikle, Andrew Zammit-Mangion, and Noel Cressie. 2019. Spatio-temporal Statistics with R. CRC Press.
[33]
James V Zidek and Constance van Eeden. 2003. Uncertainty, entropy, variance and the effect of partial information. Lecture Notes-Monograph Series(2003), 155–167.

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      cover image ACM Other conferences
      CI2020: Proceedings of the 10th International Conference on Climate Informatics
      September 2020
      138 pages
      ISBN:9781450388481
      DOI:10.1145/3429309
      This work is licensed under a Creative Commons Attribution International 4.0 License.

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      Publication History

      Published: 11 January 2021

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      Author Tags

      1. Air Temperature Distributions
      2. Fisher Information Measure
      3. Shannon Entropy Power
      4. Spatio-Temporal Exploratory Data Analysis
      5. Statistical Complexity

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      • Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung

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      CI2020: 10th International Conference on Climate Informatics
      September 22 - 25, 2020
      virtual, United Kingdom

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      • (2024)An Analysis of the Airbnb Market: A Detailed Look at Four Italian CitiesComputational Science and Its Applications – ICCSA 2024 Workshops10.1007/978-3-031-65318-6_4(49-65)Online publication date: 26-Jul-2024
      • (2022)Spatio-temporal estimation of wind speed and wind power using extreme learning machines: predictions, uncertainty and technical potentialStochastic Environmental Research and Risk Assessment10.1007/s00477-022-02219-w36:8(2049-2069)Online publication date: 12-Jul-2022
      • (2022)Fisher-Shannon AnalysisOn Spatio-Temporal Data Modelling and Uncertainty Quantification Using Machine Learning and Information Theory10.1007/978-3-030-95231-0_4(55-79)Online publication date: 13-Mar-2022
      • (2022)IntroductionOn Spatio-Temporal Data Modelling and Uncertainty Quantification Using Machine Learning and Information Theory10.1007/978-3-030-95231-0_1(1-15)Online publication date: 13-Mar-2022

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