Hw. Barker et B. Vanzyl, CORRELATION DIMENSIONS OF LOCAL, SHORT-TERM CLIMATIC ATTRACTORS FROM OBSERVATIONS AND A GLOBAL CLIMATE MODEL, Journal of climate, 6(5), 1993, pp. 858-861
Correlation dimensions nu were estimated for 500-mb geopotential heigh
ts over eastern North America as predicted by the Atmospheric Environm
ent Service-Canadian Climate Centre general circulation climate model
(GCM). A value of 6.0 to 7.0 was obtained, which agrees to within expe
rimental error with a previously estimated value determined from measu
red data. This agreement is encouraging for it may suggest that on sho
rt time scales, the GCM is capable of producing fluctuations on a regi
onal scale that resemble those of the real atmosphere. For western Eur
ope, however, observed and GCM time series of 500-mb geopotential heig
hts yielded values for nu of about 8.0 and 6.0, respectively, but disp
lay similar power spectra. In contrast, over the tropical Pacific, nu
from GCM data either does not exist or exceeds 11. These results show
that topologies of local climate attractors vary over the globe, thus
making it difficult to speak of a global attractor.