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GEOPHYSICAL RESEARCH LETTERS, VOL. 32, L23402, doi:10.1029/2005GL024476, 2005

Nature's style: Naturally trendy

Timothy A. Cohn

U.S. Geological Survey, Reston, Virginia, USA


Harry F. Lins

U.S. Geological Survey, Reston, Virginia, USA


Abstract

Hydroclimatological time series often exhibit trends. While trend magnitude can be determined with little ambiguity, the corresponding statistical significance, sometimes cited to bolster scientific and political argument, is less certain because significance depends critically on the null hypothesis which in turn reflects subjective notions about what one expects to see. We consider statistical trend tests of hydroclimatological data in the presence of long-term persistence (LTP). Monte Carlo experiments employing FARIMA models indicate that trend tests which fail to consider LTP greatly overstate the statistical significance of observed trends when LTP is present. A new test is presented that avoids this problem. From a practical standpoint, however, it may be preferable to acknowledge that the concept of statistical significance is meaningless when discussing poorly understood systems.

Received 29 August 2005; accepted 12 October 2005; published 8 December 2005.

Index Terms: 1616 Global Change: Climate variability (1635, 3305, 3309, 4215, 4513); 1694 Global Change: Instruments and techniques; 1833 Hydrology: Hydroclimatology; 1872 Hydrology: Time series analysis (3270, 4277, 4475); 1894 Hydrology: Instruments and techniques: modeling.


Subscriber Access to Full Article (Nonsubscribers may purchase for $9.00, Includes print PDF, file size: 158411 bytes)

Citation: Cohn, T. A., and H. F. Lins (2005), Nature's style: Naturally trendy, Geophys. Res. Lett., 32, L23402, doi:10.1029/2005GL024476.