Mathematics – Logic
Scientific paper
Dec 2005
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005georl..3223402c&link_type=abstract
Geophysical Research Letters, Volume 32, Issue 23, CiteID L23402
Mathematics
Logic
49
Global Change: Climate Variability (1635, 3305, 3309, 4215, 4513), Global Change: Instruments And Techniques, Hydrology: Hydroclimatology, Hydrology: Time Series Analysis (3270, 4277, 4475), Hydrology: Instruments And Techniques: Modeling
Scientific paper
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.
Cohn Timothy A.
Lins Harry F.
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