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The tenth IMSC, Beijing, China, 2007 - International Meetings on ...

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Total oz<strong>on</strong>e trends are typically studied using linear regressi<strong>on</strong> models that assume a<br />

first order autoregressi<strong>on</strong> of the residuals (so-called AR(1) models). We c<strong>on</strong>sider total oz<strong>on</strong>e<br />

time series over 60S-60N from 1979-2005 and show that most latitude bands exhibit<br />

l<strong>on</strong>g-range correlated (LRC) behavior, meaning that oz<strong>on</strong>e autocorrelati<strong>on</strong> functi<strong>on</strong>s decay by<br />

a power law rather than exp<strong>on</strong>entially as in AR(1). At such latitudes the uncertainties of total<br />

oz<strong>on</strong>e trends are greater than those obtained from AR(1) models, and the expected time<br />

required to detect oz<strong>on</strong>e recovery corresp<strong>on</strong>dingly l<strong>on</strong>ger. We find no evidence of LRC<br />

behavior in southern middle and high sub-polar latitudes (45-60S), where the l<strong>on</strong>g-term oz<strong>on</strong>e<br />

decline attributable to anthropogenic chlorine is the greatest. We thus c<strong>on</strong>firm an earlier<br />

predicti<strong>on</strong> based <strong>on</strong> an AR(1) analysis that this regi<strong>on</strong> (especially the highest latitudes, and<br />

especially the South Atlantic) is the optimal locati<strong>on</strong> for the detecti<strong>on</strong> of oz<strong>on</strong>e recovery, with a<br />

statistically significant oz<strong>on</strong>e increase attributable to chlorine likely to be detectable by the end<br />

of the next decade. In northern middle and high latitudes, <strong>on</strong> the other hand, there is clear<br />

evidence of LRC behavior. This increases the uncertainties <strong>on</strong> the l<strong>on</strong>g-term trend attributable<br />

to anthropogenic chlorine by about a factor of 1.5, and lengthens the expected time to detect<br />

oz<strong>on</strong>e recovery by a similar amount (from ~2030 to ~2045).<br />

Crytic Period Analysis Model of Hydrological Process Based <strong>on</strong> Herteroskedasticity Test and Its<br />

Applicati<strong>on</strong><br />

H<strong>on</strong>grui Wang<br />

College of Water Sciences-Key Laboratory for Water and Sediment Sciences Ministry of Educati<strong>on</strong>,<br />

<str<strong>on</strong>g>Beijing</str<strong>on</strong>g> Normal University, <str<strong>on</strong>g>Beijing</str<strong>on</strong>g>, 100875<br />

henryzsr@bnu.edu.cn<br />

Lin xin<br />

College of Water Sciences-Key Laboratory for Water and Sediment Sciences Ministry of Educati<strong>on</strong>,<br />

<str<strong>on</strong>g>Beijing</str<strong>on</strong>g> Normal University, <str<strong>on</strong>g>Beijing</str<strong>on</strong>g>, 100875<br />

Yang Chi<br />

College of Water Sciences-Key Laboratory for Water and Sediment Sciences Ministry of Educati<strong>on</strong>,<br />

<str<strong>on</strong>g>Beijing</str<strong>on</strong>g> Normal University, <str<strong>on</strong>g>Beijing</str<strong>on</strong>g>, 100875<br />

Qian L<strong>on</strong>gxia<br />

College of Water Sciences-Key Laboratory for Water and Sediment Sciences Ministry of Educati<strong>on</strong>,<br />

<str<strong>on</strong>g>Beijing</str<strong>on</strong>g> Normal University, <str<strong>on</strong>g>Beijing</str<strong>on</strong>g>, 100875<br />

<str<strong>on</strong>g>The</str<strong>on</strong>g> hydrological process is very complicated, which is influenced by both deterministic<br />

and stochastic factors. It is difficult to analyze its critic period, because hydrological time series<br />

is probably characterized by herteroskedasticity. To find out the cryptic period, a model is put<br />

forward as follows: (1) to apply zero-mean-value to the data, to have ADF stati<strong>on</strong>ary test for<br />

the sequence and to develop the corresp<strong>on</strong>ding AR(p) model, and then to have ARCH effects<br />

test and white noise test for residual series, (2) for the time series unfit for ARCH test, to<br />

155

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