北京师范大学学报(自然科学版)
北京師範大學學報(自然科學版)
북경사범대학학보(자연과학판)
JOURNAL OF BEIJING NORMAL UNIVERSITY
2014年
2期
111-116
,共6页
插值%热带气旋%路径%强度%西北太平洋
插值%熱帶氣鏇%路徑%彊度%西北太平洋
삽치%열대기선%로경%강도%서북태평양
interpolation%tropical cyclone%track%intensity%Northwestern Pacific
热带气旋最佳路径数据集整编了历史热带气旋的中心点经纬度,以及中心最低气压、最大风速等强度信息,其记录时间间隔为6 h.研究中经常需要时间分辨率更高的路径及强度信息,因此需要对已有数据进行插值.为了寻找适合热带气旋路径及强度特点的插值方法,本文首先回顾各种数学插值方法,利用线性、抛物线样条及三次样条函数,对西北太平洋1949-2010年最佳热带气旋路径及强度数据进行插值;其次,针对部分形状特别不规则的热带气旋路径,基于线性、抛物线样条及三次样条函数设计自适应插值算法;然后,定义插值误差并作为指标检验各方法插值效果.结果表明:1)三次样条插值方法可有效地对大多数较为光滑的路径进行插值;2)自适应插值算法对不规则路径的插值效果最好但计算量稍大;3)线性插值方法对强度插值效果最好.
熱帶氣鏇最佳路徑數據集整編瞭歷史熱帶氣鏇的中心點經緯度,以及中心最低氣壓、最大風速等彊度信息,其記錄時間間隔為6 h.研究中經常需要時間分辨率更高的路徑及彊度信息,因此需要對已有數據進行插值.為瞭尋找適閤熱帶氣鏇路徑及彊度特點的插值方法,本文首先迴顧各種數學插值方法,利用線性、拋物線樣條及三次樣條函數,對西北太平洋1949-2010年最佳熱帶氣鏇路徑及彊度數據進行插值;其次,針對部分形狀特彆不規則的熱帶氣鏇路徑,基于線性、拋物線樣條及三次樣條函數設計自適應插值算法;然後,定義插值誤差併作為指標檢驗各方法插值效果.結果錶明:1)三次樣條插值方法可有效地對大多數較為光滑的路徑進行插值;2)自適應插值算法對不規則路徑的插值效果最好但計算量稍大;3)線性插值方法對彊度插值效果最好.
열대기선최가로경수거집정편료역사열대기선적중심점경위도,이급중심최저기압、최대풍속등강도신식,기기록시간간격위6 h.연구중경상수요시간분변솔경고적로경급강도신식,인차수요대이유수거진행삽치.위료심조괄합열대기선로경급강도특점적삽치방법,본문수선회고각충수학삽치방법,이용선성、포물선양조급삼차양조함수,대서북태평양1949-2010년최가열대기선로경급강도수거진행삽치;기차,침대부분형상특별불규칙적열대기선로경,기우선성、포물선양조급삼차양조함수설계자괄응삽치산법;연후,정의삽치오차병작위지표검험각방법삽치효과.결과표명:1)삼차양조삽치방법가유효지대대다수교위광활적로경진행삽치;2)자괄응삽치산법대불규칙로경적삽치효과최호단계산량초대;3)선성삽치방법대강도삽치효과최호.
The track and intensity of tropical cyclone have been observed and archived from historical data in the form of Best Track,with time intervals of 6 hrs.However,track data with higher time precision is needed,and therefore it is of great importance to find optimal interpolations.In order to find out an appropriate method for track and intensity interpolations,linear,parabola spline and cubic spline functions were chosen among a variety of interpolation methods to interpolate tracks or intensity;For further improving interpolation accuracy for very irregular tropical cyclone tracks,a new adaptive method was proposed,which could select all three methods automatically according to interpolation accuracy;Interpolation error was defined as index to assess results of different interpolation methods.It has been found that cubic spline was appropriate for track interpolation,whilst linear spline was proper for intensity interpolation;The new adaptive method performance was the best for irregular track interpolation though it required more computation resource.