Long-range persistence in climatological and hydrological time series: Analysis, modeling and application to drought hazard assessment

Jon Pelletier, Donald L. Turcotte

Research output: Contribution to journalArticle

154 Citations (Scopus)

Abstract

We present power spectra of time-series data for tree ring width chronologies, atmospheric temperatures, river discharges and precipitation averaged over hundreds of stations worldwide. The average power spectrum S for each of these phenomena is found to have a power-law dependence on frequency with exponent -1/2: s(f) α f(- 1/4 ). An advection-diffusion model of the vertical transport of heat and water vapor in the atmosphere is presented as a first-order model of climatic and hydrological variability. The model generates variability with the observed spectrum. The model is validated with a correlation analysis of temperature and water vapor concentration measurements from the TIROS operational vertical sounder (TOVS). Drought frequency analyses based on synthetic lognormal streamflows with the above power spectrum are presented. We show that the presence of long memory as implied by the power-law power spectrum has a significant effect on the likelihood of extended droughts compared with the drought hazard implied from standard autoregressive models with short memory.

Original languageEnglish (US)
Pages (from-to)198-208
Number of pages11
JournalJournal of Hydrology
Volume203
Issue number1-4
DOIs
StatePublished - Dec 31 1997
Externally publishedYes

Fingerprint

time series analysis
hazard assessment
persistence
drought
water vapor
modeling
power law
climate models
stream flow
growth rings
hydrologic models
temperature
tree ring
river discharge
streamflow
chronology
heat
advection
air temperature
rivers

Keywords

  • Diffusion
  • Drought
  • Fractals
  • Time-series analysis

ASJC Scopus subject areas

  • Soil Science
  • Earth-Surface Processes

Cite this

Long-range persistence in climatological and hydrological time series : Analysis, modeling and application to drought hazard assessment. / Pelletier, Jon; Turcotte, Donald L.

In: Journal of Hydrology, Vol. 203, No. 1-4, 31.12.1997, p. 198-208.

Research output: Contribution to journalArticle

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