Hl. Chen et Ar. Rao, PERIODICITY IN MIDWEST US CLIMATIC DATA - THE HALE CYCLE SIGNAL OR THE LUNI-SOLAR SIGNAL, Stochastic hydrology and hydraulics, 12(4), 1998, pp. 205-222
Cohen and Sweeter (1975) found the 20 to 22-year Hale (double sunspot)
cycle signal in the maximum entropy spectra of sunspot and Atlantic t
ropical cyclone data. Currie (1996) corroborated and extended their an
alysis, but he argued that this signal is the 18.6-year luni-solar tid
al constituent. Currie maintains that Cohen and Sweeter mistakenly con
jectured that this long term periodicity was induced by the 20 to 22-y
ear Hale cycle signal. However, no further investigation of periodicit
y in the extracted wave forms corresponding to the 18.6-year luni-sola
r signal was conducted. In this study, we follow Currie's signal proce
ssing procedures to extract the wave forms corresponding to the 18.6-y
ear luni-solar signal. In order to investigate the periodicity in the
extracted wave forms, multi-taper method (MTM) is used for harmonic an
alysis. Band pass filters are then designed to extract the wave forms
corresponding to the individual components identified in the MTM harmo
nic analysis. The investigation results of the monthly precipitation a
nd Palmer's drought severity index (PDSI) data in three of the midwest
ern states - Illinois, Indiana and Ohio - show that two periodic compo
nents, the 20 to 22-year Hale cycle signal and the other component wit
h periods between 16.9 and 13.5 years, are identified. The bistability
phenomenon, which Currie found in these wave forms, is more likely to
result from the superposition of these two periodic components, rathe
r than from a nonlinear mechanism. Besides, a periodic component with
an approximate period of 33 years is detected.