以全球海水表面溫度預測台灣附近之夏季降雨量

Rainfall Prediction for Taiwan Area Using Global Sea Surface Temperature

黃文揚(Wen-Yang Huang) ； 徐南蓉(Nan-Jung Hsu)

《中國統計學報》 43卷4期 (2005/12) Pp. 371-386

https://doi.org/10.29973/JCSA.200512.0001

摘要

近年來，全球氣候變化極端，台灣時而受到嚴重水災又時而遭受嚴重乾旱之苦，水資源的過與不及對於農業、工業及民生都造成嚴重的影響，因此雨量的預測是一重要課題。本論文主要目的為藉由全球海水表面溫度的資料，預測台灣附近夏季之降雨量。我們首先以Permutation test檢定出海水表面溫度的變化確實與台灣附近的夏季雨量有關，在找出相關之海水區塊後，再以此區塊之海水表面溫度的資料有效的預測台灣附近夏季之降雨量。此研究中藉由統計分析所定義出的海洋區域與一般定義聖嬰現象的區域之地理位置相近，有部分區域重合。此外，所得之迴歸模式其預測能力略優於傳統的時序模型。

關鍵字

ARIMA ； Permutation檢定 ； 主成分分析

並列摘要

We proposed a regression model for predicting the summer rainfall around Taiwan area, in which the global sea surface temperature (SST) are incorporated as predictive variables. In constructing such a regression model, we first identify the effective spatial region based on Portmanteau test statistics which quantify the dependence between the rainfall series and the SST series for different locations. Then, the principal component analysis is applied to the SST data in the identified region. Finally, a regression model for predicting rainfall is built on the important principal components of past SST data. Empirical results show that our regression model performs better than the conventionally time series model in terms of smaller prediction mean square errors.

並列關鍵字

ARIMA ； Permutation test ； Principal component analysis

參考文獻

Cane, M.A.(1983).Oceanographic events during El Nino.Science.222,1189-1195.

Grimm, A.M.,Ferraz S.E.T.,Gomes J.(1998).Precipitation anomalies in southern Brazil associated with El Nino and La Nina events.Journal of Climate.11,2863-2880.

Liebmann B.,Marengo J.A.(2001).Interannual variability of the rainy season and rainfall in the Brazilian Amazon basin.Journal of Climate.14,4308-4317.

Montecinos A.,Diaz A.,Aceituno P.(2000).Seasonal diagnostic and predictability of rainfall in subtropical South America based on tropical Pacific SST.Journal of Climate.13,746-758.

Ronchail J.,Cochonneau G.,Molinier M.,Guyot J.L.,Chaves A.G.D.M.,Guimaraes V.,Oliveira E.D.(2002).Interannual rainfall variability in the Amazon Basin and sea-surface temperatures in the equatorial Pacific and the tropical Atlantic oceans.International Journal of Climatology.22,1663-1686.