Comparison of Multivariate Allometric Coefficients in Red-Spot Prawn (Metapenosis barbata) from Adjacent Waters off Taiwan

台灣附近海域產紅斑赤蝦(Metapenosis barbata)多變量異速成長係數之比較

曾宗德(Tzong-Der Tzeng) ； 邱進祥(Chin-Shiang Chiu) ； 葉顯椏(Shean-Ya Yeh)

《臺灣水產學會刊》 25卷2期 (1998/06) Pp. 85-92

https://doi.org/10.29822/JFST.199806.0001

摘要

從大溪、基隆、台中和高雄等四附近海域產紅斑赤蝦之多變量異速成長係數的估計及比較，來檢視：(1)是否異速成長可用以解析不同族群間之遺傳變異；及(2)在某些多變量分析法中，如大小校正法之Burnaby法、Shearing PCA及多群排序法之commom PCA、多群PCA，被分析之各群具有相同之多變量異速成長形態之假設是否成立。本研究中所使用之樣本於1995年11月至12月間取得。每一樣本測量11個外部形態形質；将所得之外部形態資料經對數轉換，計算其共變方矩陣，再以主成份分析法按各群及性別分別加以分析，所得之第一主成份向量，即為多變量異速成長係數。估計值以bootstrap法評估其正確性。利用兩兩第一主成份向量間之夾角為距離矩陣，四個採樣區視為操作單位，再按性別利用未加權算數平均法建構其表型圖。結果顯示四個採樣區域之多變量異速成長係數，不論雌雄皆可分為兩個集群。大溪、基隆及高雄為一群，台中為另一群。四地區之紅班赤蝦具有相同異速成長形態之假設被不被接受。因此，引用假設各分析群中具有相同之多變量異速成長形態之多變量統計法，使用前須先檢視此一假設是否成立。兩個集群中所含之區域與形状分析之結果不同，故對本研究種而言，利用多變量異速成長之比較以檢視族群間之遺傳差異是不適當的。採樣地區在冬季時被不同的水團覆蓋及涨退潮時具有不同的沿岸流型式，可能是造成兩個群集之多變量異速成長係數差異的主因。

關鍵字

多變量異速成長係數 ； Bootstrap ； 表型圖 ； 角度

並列摘要

Multivariate allometric coefficients of red-spot prawn sampled from the adjacent waters of Tashi, Keelung, Taichung and Kaohsiung were estimated and compared to examine whether (1) allometry can be used to elucidate the genetic variation among groups and (2) the assumption that those groups compared share a common allometric pattern in some multivariate statistic method, e. g. Burnaby's method and shearing principal component analysis (PCA) for size correction, or common PCA and multiple-group PCA for multiple-group ordination, can be satisfied. The specimens were sampled during November and December in 1995. A total of 11 measurements was made for each individual. The first eigenvector extracted from the covariance matrix of log-transformed data was used to reflect the multivariate allometric coefficients. The bootstrap method was used to assess the accuracy of estimates. The dendrogram of four areas was constructed by unweighted pair-group method with arithmetic means (UPGMA) by using the angles between four first eigenvectors by sex. The results show that four areas were clustered into two distinct groups for each sex, one group included Tashi, Keelung and Kaohsiung; the other included Taichung. The hypothesis of one common multivariate allometric pattern was clearly rejected. This indicates that some multivariate statistic methods should not be used with out testing this assumption. The geographic clusters are different from the one derived from shape analysis, so the examination in genetic variation among populations by multivariate variate allometric comparison may be not suitable for this species. Different water masses in winter and flow patterns of coastal current around sampling areas may be the main factors to result in the differences of allometric coefficients between two clusters.

並列關鍵字

Multivariate allometric coefficient ； Bootstrap ； Dendrogram ； Angle