Abstract
Precipitation, together with temperature, is the most important variable in defining the climate of a region. Then, the right understanding of rainfall variability, which occurs over a wide range of temporal scales, has relevance for a large variety of problems linked to meteorology and climate, both in theoretical and practical frameworks. The double aspect, continuous and point process, of rainfall sequences manifests itself depending on the scale of aggregation of the rainfall events and on the intensity thresholds associated to storminess risk. This requires the use of different characteristic variables, different reference models as well as different analysis techniques for obtaining a comprehensive characterization of the observational time series and assessing risk. This Chapter provides a quick overview of the many aspects of the reconstruction of the time scale properties based on the investigation of historical data. Storminess observed for several decades at two Italian sites (Genoa and Palermo), which exhibit different climatic features, were analysed both with tools typical of point processes and more standard analysis techniques to provide a coherent picture of the basic properties of rainfalls that can be extracted from daily data about weather, seasonal, and climatic scales. Both analogous and complementary cycles appear when we approach the problem from the two different perspectives separately; additional behaviours are detected when we integrate them. This comprehensive picture of historical data represents the background for understanding precipitation regimes and identifying possible climatic changes or human pressure effects that could increase storminess risk.
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Azzalini A, Bowman AW (1990) A look at some data on the Old Faithful geyser. Appl Stat 39:357–365
Bak P (1996) How nature works: the science of the self origanised criticality. Copernicus Press, New York, 212 pp
Barbieri R, Matten EC, Alabi A, Brown EN (2005) A point process model of human heart beat intervals: new definitions of heart rate and heart rate variability. Am J Physiol Heart Circ Physiol 288:H424–H435
Christensen K, Peters O (2002) Rain is earthquakes in the sky. American Geophysical Union, Fall Meeting 2002, abstract #NG71A-01
Cowpertwait PSP (1994) A generalized point process model for rainfall. Proc R Soc A Math Phys Eng Sci 447:23–37
Cowpertwait PSP (2010) A spatial temporal point process model with a continuous distribution of storm types. Water Resour Res 46:W12507. doi:10.1029/2010WR009728
Cox DR, Isham V (1980) Point processes. Chapman and Hall, London, 188 pp
Daley DJ, Vere-Jones D (2003) An introduction to the theory of point processes, vol I: elementary theory and methods, 2nd edn. Springer, New York, 469 pp
Diodato N, Bellocchi G (2010) Storminess and environmental changes in the Mediterranean Central Area. Earth Interact 14:1–16
Green JR (1964) A model for rainfall occurrence. J R Stat Soc B Stat Methodol 26:345–353
Gupta VK, Waymire E (1979) A stochastic kinematic study of subsynoptic space-time rainfall. Water Resour Res 15:637–644
Gutenberg B, Richter CF (1944) Frequency of earthquakes in California. Bull Seismol Soc Am 34:185–188
Gutenberg B, Richter CF (1954) Seismicity of the Earth and associated phenomena, 2nd edn. Princeton University Press, Princeton, 310 pp
Kavvas ML, Delleur JW (1975) The stochastic and chronologic structure of rainfall sequences – application to Indiana. Technical report, Purdue University 57, West Lafayette, IN, USA
Klein Tank AMG, Wijngaard JB, Können GP, Böhm R, Demarée G, Gocheva A, Mileta M, Pashiardis S, Hejkrlik L, Kern-Hansen C, Heino R, Bessemoulin P et al (2002) Daily dataset of 20th-century surface air temperature and precipitation series for the European Climate Assessment. Int J Climatol 22:1441–1453
Lanfredi M, Simoniello T, Cuomo V, Macchiato M (2009) Discriminating low frequency components from long range persistent fluctuations in daily atmospheric temperature variability. Atmos Chem Phys 9:4537–4544
Lanfredi M, Simoniello T, Cuomo V, Macchiato M (2011) Time correlation laws inferred from climatic records: long-range persistence and alternative paradigms. In: Blanco J, Kheradmand H (eds) Climate change – geophysical foundations and ecological effects. InTech, Rijeka, pp 25–42
Le Cam L (1961) A stochastic description of precipitation. In: IV Berkeley symposium on mathematical statistics and probability, University of California, Berkeley, CA, USA, vol 3, pp 165–186
Ogata Y (1988) Statistical models for earthquake occurrences and residual analysis for point processes. J Am Stat Assoc 83(401): Applications, 9–27
Peters O, Christensen K (2002) Rain: relaxations in the sky. Phys Rev E 66:036120
Peters O, Christensen K (2006) Rain viewed as relaxational events. J Hydrol 328:46–55
Peters O, Neelin JD (2006) Critical phenomena in atmospheric precipitation. Nat Phys 2:393–396
Peters O, Hertlein C, Christensen K (2002) A complexity view of rainfall. Phys Rev Lett 88:018701
Simoniello T, Coppola R, Cuomo V, D’Emilio M, Lanfredi M, Liberti M, Macchiato M (2009) Searching for persistence in atmospheric temperature time series: a re-visitation of results from detrended fluctuation analysis. Int J Mod Phys B 23:5417–5423
Thom HG (1958) A note on the gamma distribution. Mon Weather Rev 86:117–122
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Lanfredi, M.T., Macchiato, M. (2014). A Digression on the Analysis of Historical Series of Daily Data for the Characterization of Precipitation Dynamics. In: Diodato, N., Bellocchi, G. (eds) Storminess and Environmental Change. Advances in Natural and Technological Hazards Research, vol 39. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-7948-8_16
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DOI: https://doi.org/10.1007/978-94-007-7948-8_16
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