第三十五卷(2006)
63.利用累加性親屬係數圖形以探掘族群中的重要種畜禽
黃鈺嘉、顏念慈、鍾秀枝、廖仁寶、吳明哲
行政院農業委員會畜產試驗所
利用陣列形態呈現的累加性親屬係數，除可用於行列運算、轉置或分割為不同群組的子矩陣等多形態之資訊整理外，尚可藉由圖形形態呈現親屬關係矩陣，以展示個體彼此間的複雜關係，並於座標軸中對有興趣的個體標以性別、基因型及親代來源等不同的遺傳資訊。因此，開發不同類型的累加性親屬係數圖形可以協助探掘重要的個體。遺傳學的研究與育種計畫的執行常需數個世代之龐大系譜資料。然而，迄今面對龐大的不同群組之系譜資料，可用於協助找尋重要種畜禽之有效率的工具仍然十分有限。試驗取自不同世代(出生時間區段)的133選育個體系譜，依世代別分割為累加性親屬係數矩陣，繪製親屬關係矩陣圖形，再經子矩陣的行、列加總，繪製加總共親條型圖，可以有效地協助找出不同世代中對現有族群較具影響力的重要祖先，並探討不同世代間的共親關係，如重要共同祖先。由繪製的累加性親屬係數圖形可提供進階遺傳研究或選育方向的修正參考。
關鍵語：圖形、累加性親屬係數、親屬關係
PLOT ADDITIVE RELATIONSHIPS BETWEEN ANIMALS TO DETECT THE RELEVANT IMPORTANT INDIVIDUALS IN GROUPS
Y. C. Huang, N. T. Yen, H. C. Chung, R. B. Liaw and M. C. Wu
Livestock Research Institute, Council of Agriculture, Executive Yuan
The additive relationship matrix can produce useful information after matrix operations, such as addition, multiplication, transposition and partition, and can help in detecting the relevant important individuals in different groups. The new developed kinship matrix chart with statistics can simplify the complex relations between animals. Gender, genotype or parents’ ID were marked along axis for the selected individuals. Due to genetic study or breeding program requires large numbers of individuals. The useful pedigree analysis tools for large pedigree are very limited. Graphics derived from the additive relationship matrix can provide as a new tool for genetic researchers. In this study, additive relationship matrix of 133 animals are partitioned by generations. One generation is classed as one group. Graphics show partitioned kinship matrix by groups. The histogram of row summation of the sub-matrix can help in detecting the important common ancestors. The distinct coancestry information from graphics of additive relationship matrix is useful for adjusting the further genetic practices.
Key Words: Graphs, additive relationship, Kinship
  
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