The tenth IMSC, Beijing, China, 2007 - International Meetings on ...
The tenth IMSC, Beijing, China, 2007 - International Meetings on ...
The tenth IMSC, Beijing, China, 2007 - International Meetings on ...
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data can ever be generated. In fact, c<strong>on</strong>venti<strong>on</strong>al resampling algorithms, such as the standard<br />
form of bootstrap, fail for the maximum value of a sample or when the underlying distributi<strong>on</strong> is<br />
heavy-tailed. Such limitati<strong>on</strong>s of the resampling approach are dem<strong>on</strong>strated in this talk by<br />
example.<br />
<str<strong>on</strong>g>The</str<strong>on</strong>g> alternative approach to stochastic weather generati<strong>on</strong> is parametric. This approach<br />
involves a formal stochastic model for time series of daily weather variables (e.g., a Markov<br />
chain model for precipitati<strong>on</strong> occurrence). Because the parametric distributi<strong>on</strong>s (e.g., gamma)<br />
typically used cannot produce a heavy tail, precipitati<strong>on</strong> extremes can be underestimated by a<br />
substantial amount.<br />
Furrer and Katz (<str<strong>on</strong>g>2007</str<strong>on</strong>g>) proposed a generalized linear modeling (GLM) technique for<br />
parametric stochastic weather generati<strong>on</strong>. <str<strong>on</strong>g>The</str<strong>on</strong>g> GLM technique and its extensi<strong>on</strong>s are used in<br />
this talk to explore how the simulati<strong>on</strong> of high precipitati<strong>on</strong> amounts can be improved. In<br />
particular, the substituti<strong>on</strong> of a stretched exp<strong>on</strong>ential (or Weibull) distributi<strong>on</strong>, instead of the<br />
gamma, for the upper tail of daily precipitati<strong>on</strong> amounts can be readily incorporated into the<br />
GLM approach. Extreme value theory has established that such a distributi<strong>on</strong> can produce an<br />
apparent heavy tail. Requiring an extensi<strong>on</strong> of the GLM framework is the technique of fitting a<br />
mixture of two Weibull distributi<strong>on</strong>s to daily precipitati<strong>on</strong> amount. <str<strong>on</strong>g>The</str<strong>on</strong>g> results suggest that the<br />
simulati<strong>on</strong> of extreme precipitati<strong>on</strong> events can be substantially improved, with a stochastic<br />
model that remains fairly parsim<strong>on</strong>ious.<br />
Reference<br />
Furrer, E.M., and R.W. Katz, <str<strong>on</strong>g>2007</str<strong>on</strong>g>: Generalized linear modeling approach to stochastic<br />
weather generators. Climate Research (in press).<br />
Atmospheric dust dispersi<strong>on</strong> from disking operati<strong>on</strong>: near-field simulati<strong>on</strong><br />
Speaker: Junming wang<br />
Junming wang<br />
New Mexico State University, Plant & Envir<strong>on</strong>mental Sciences, USA<br />
jwang@nmsu.edu<br />
April L. Hiscox<br />
University of C<strong>on</strong>necticut, USA<br />
David R. Miller<br />
University of C<strong>on</strong>necticut, USA<br />
Ted Sammis<br />
New Mexico State University, Plant & Envir<strong>on</strong>mental Sciences, USA<br />
Wenli Yang, Britt A. Holmén<br />
University of California at Davis, USA<br />
This paper presents a dynamic random-walk model which simulates the field-scale<br />
PM10 (particle m) dust dispersi<strong>on</strong> from an agriculture operati<strong>on</strong>μmatter of diameter ≤10<br />
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