Barnes的客觀分析方法在理論上並沒有影響半徑的限制,但為提高計算效率通常都會設定一影響半徑來限制尋求測站的範圍。影響半徑設定得適當與否,不但影響分析的品質,也決定計算的效率。本文經由理論的推導,並以實際東亞地區探空觀測網及模擬氣象場分佈做分析驗證。結果顯示以4k^(1/2)做為影響半徑時分析結果最為理想,而且計算最經濟迅速。k為Barnes的權重函數參數。
Theoretically, it is not necessary to specify a radius of influence for the Barnes objective analysis scheme. However, in order to improve the computational efficiency, a radius of influence is usually prescribed when seeking stations for the grid point. Adequacy in selecting an influence radius will affect not only the quality of analysis, but also the computational efficiency. In this study, a theoretical radius of influence is derived and proved to be optimal by analyzing a simulated wave in the Eastern Asia area. The optimal influence radius is 4k^(1/2) where k is the weighting function parameter.