Abstract
Long-term persistence or Hurst–Kolmogorov behaviour has been identified in many hydroclimatic records1. Such time series are intriguing because they are the hallmark of multi-scale dynamical processes that govern the system from which they arise2. They are also highly relevant for water resource managers because these systems exhibit persistent, for example, multi-decadal, mean shifts or extremes clustering that must be included into any long-term drought management strategy. During recent years the growing number of palaeoclimatic reconstructions has allowed further investigation of the long-term statistical properties of climate3,4 and an understanding of their implications for the observed change5. Recently, the consistency of the proxy data for precipitation was strongly doubted, when their persistence property was compared to the corresponding estimates of instrumental records and model results6,7. The latter suggest that droughts or extremely wet periods occur less frequently than depicted in the palaeoclimatic reconstructions. Here, we show how this could be the outcome of a varying scaling law and present some evidence supporting that proxy records can be reliable descriptors of the long-term precipitation variability.
This is a preview of subscription content, access via your institution
Access options
Subscribe to this journal
Receive 12 print issues and online access
$209.00 per year
only $17.42 per issue
Buy this article
- Purchase on Springer Link
- Instant access to full article PDF
Prices may be subject to local taxes which are calculated during checkout
Similar content being viewed by others
References
O’Connell, E. et al. The scientific legacy of Harold Edwin Hurst (1880–1978). Hydrol. Sci. J. Special issue: Facets of Uncertainty http://dx.doi.org/10.1080/02626667.2015.1125998 (2015).
Huybers, P. & Curry, W. Links between annual, Milankovitch and continuum temperature variability. Nature 441, 329–332 (2006).
Koutsoyiannis, D. Climate change, the Hurst phenomenon, and hydrological statistics. Hydrol. Sci. J. 48, 3–24 (2003).
Markonis, Y. & Koutsoyiannis, D. Climatic variability over time scales spanning nine orders of magnitude: Connecting Milankovitch cycles with Hurst–Kolmogorov dynamics. Surv. Geophys. 34, 181–207 (2013).
Cohn, T. A. & Lins, H. F. Nature’s style: Naturally trendy. Geophys. Res. Lett. 32, L23402 (2005).
Bunde, A., Büntgen, U., Ludescher, J., Luterbacher, J. & von Storch, H. Is there memory in precipitation? Nature Clim. Change 3, 174–175 (2013).
Franke, J., Frank, D., Raible, C. C., Esper, J. & Brönnimann, S. Spectral biases in tree-ring climate proxies. Nature Clim. Change 3, 360–364 (2013).
Potter, K. W. Annual precipitation in the northeast United States: Long memory, short memory, or no memory? Wat. Resour. Res. 15, 340–346 (1979).
Fraedrich, K. & Blender, R. Scaling of atmosphere and ocean temperature correlations in observations and climate models. Phys. Rev. Lett. 90, 108501 (2003).
Kantelhardt, J. W. et al. Long-term persistence and multifractality of precipitation and river runoff records. J. Geophys. Res. 111, 1984–2012 (2006).
Pelletier, J. D. & Turcotte, D. L. Long-range persistence in climatological and hydrological time series: Analysis, modeling and application to drought hazard assessment. J. Hydrol. 203, 198–208 (1997).
Fraedrich, K. & Larnder, C. Scaling regimes of composite rainfall time series. Tellus A 45, 289–298 (1993).
Ault, T. R. et al. The continuum of hydroclimate variability in western North America during the last millennium. J. Clim. 26, 5863–5878 (2013).
Van Vliet, K., Van der Ziel, A. & Schmidt, R. Temperature-fluctuation noise of thin films supported by a substrate. J. Appl. Phys. 51, 2947–2956 (1980).
Pelletier, J. D. The power spectral density of atmospheric temperature from time scales of 10−2 to 106 yr. Earth Planet. Sci. Lett. 158, 157–164 (1998).
Koutsoyiannis, D. Hurst–Kolmogorov dynamics as a result of extremal entropy production. Physica A 390, 1424–1432 (2011).
Zhai, Y. et al. The spatio-temporal variability of annual precipitation and its local impact factors during 1724–2010 in Beijing, China. Hydrol. Process. 28, 2192–2201 (2014).
Koutsoyiannis, D. & Langousis, A. in Precipitation, Treatise on Water Science Vol. 2 (eds Wildererand, P. & Uhlenbrook, S.) 27–78 (Academic, 2011).
Büntgen, U. et al. 2500 years of European climate variability and human susceptibility. Science 331, 578–582 (6017).
Briffa, K. R., Jones, P. D., Schweingruber, F. H., Karlén, W. & Shiyatov, S. G. in Climatic Variations and Forcing Mechanisms of the Last 2000 Years (eds Jones, P. D., Bradley, R. S. & Jouzel, J.) 9–41 (Springer, 1996).
Griffin, D. & Anchukaitis, K. J. How unusual is the 2012–2014 California drought? Geophys. Res. Lett. 41, 9017–9023 (2014).
Cook, E. R., Seager, R., Cane, M. A. & Stahle, D. W. North American drought: Reconstructions, causes, and consequences. Earth-Sci. Rev. 81, 93–134 (2007).
Gupta, A. K., Anderson, D. M. & Overpeck, J. T. Abrupt changes in the Asian southwest monsoon during the Holocene and their links to the North Atlantic Ocean. Nature 421, 354–357 (2003).
Bakke, J., Dahl, S. O., Paasche, Ø., Løvlie, R. & Nesje, A. Glacier fluctuations, equilibrium-line altitudes and palaeoclimate in Lyngen, northern Norway, during the Lateglacial and Holocene. Holocene 15, 518–540 (2005).
Steinman, B. A., Abbott, M. B., Mann, M. E., Stansell, N. D. & Finney, B. P. 1,500 year quantitative reconstruction of winter precipitation in the Pacific Northwest. Proc. Natl Acad. Sci. USA 109, 11619–11623 (2012).
Saunders, K. et al. Late Holocene changes in precipitation in northwest Tasmania and their potential links to shifts in the Southern Hemisphere westerly winds. Glob. Planet. Change 92, 82–91 (2012).
Holmgren, K. et al. A 3000-year high-resolution stalagmitebased record of palaeoclimate for northeastern South Africa. Holocene 9, 295–309 (1999).
Viau, A. & Gajewski, K. Reconstructing millennial-scale, regional paleoclimates of boreal Canada during the Holocene. J. Clim. 22, 316–330 (2009).
Tan, L. et al. Centennial-to decadal-scale monsoon precipitation variability in the semi-humid region, northern China during the last 1860 years: Records from stalagmites in Huangye Cave. Holocene 21, 287–296 (2010).
Acknowledgements
This research was funded by the Greek General Secretariat for Research and Technology through the research project ‘Combined REnewable Systems for Sustainable ENergy DevelOpment’ (CRESSENDO, grant number 5145). We thank P. Dimitriadis, S. Papalexiou, I. Tsoukalas, P. Kossieris and V. N. Moreno for their valuable comments and suggestions during the writing of this letter. Finally, we thank K. Saunders for the kind contribution of the Rebecca Lagoon reconstructed time series.
Author information
Authors and Affiliations
Contributions
Y.M. conceived the idea, collected and analysed the data, and wrote the manuscript; D.K. supervised the work, provided conceptual and technical advice, and edited the manuscript.
Corresponding author
Ethics declarations
Competing interests
The authors declare no competing financial interests.
Supplementary information
Rights and permissions
About this article
Cite this article
Markonis, Y., Koutsoyiannis, D. Scale-dependence of persistence in precipitation records. Nature Clim Change 6, 399–401 (2016). https://doi.org/10.1038/nclimate2894
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1038/nclimate2894
This article is cited by
-
The color of environmental noise in river networks
Nature Communications (2023)
-
A new approach to correct the overestimated persistence in tree-ring width based precipitation reconstructions
Climate Dynamics (2022)
-
Multifractal characterization of the Coniacian–Santonian OAE3 in lacustrine and marine deposits based on spectral gamma ray logs
Scientific Reports (2020)
-
Setting the tree-ring record straight
Climate Dynamics (2020)
-
Spatiotemporal changes in precipitation extremes in the arid province of Pakistan with removal of the influence of natural climate variability
Theoretical and Applied Climatology (2020)