社會科學研究中,有許多學科都陸續發展各種計量模式與數學語言來輔助質性研究,以期更爲精準的呈現出多元而複雜的人文社會現象,在空間研究領域也是如此。目前聚落研究多以文字描述爲主,對於聚落中複雜且抽象深層空間結構與社會結構關係,常有難以全面性完整呈現之苦。因此本研究透過設計運算的方法及對空間的分析,研究台灣傳統空間中的社會文化與空間結構,藉由行爲與空間互動所產生的環境模式,剖析聚落中的空間與文化的結構關係。爲了探索台灣聚落所隱含的空間文化現象,本研究選擇兩個聚落爲例,運用數學圖論分析日常生活空間的公共性、社會群體與空間發展、親屬位序的空間結構關係,以發掘聚落的空間與社會文化的內在邏輯。
Social scientists have continually developed various quantitative and mathematical linguistic methods to supplement qualitative researches in order to reveal the diverse and complex humanity social phenomenon more precisely, so as in spatial research field. By means of computational analysis on space, this research tries to study social culture and spatial structure of the traditional space in Taiwan. By the reciprocal applications of quantitative and qualitative research methodologies, it is intended to analyze the structural relationship between the space and culture of the settlements. In order to explore the spatial culture phenomenon hidden underneath Taiwanese villages, two cases are studied in this research. By applying the graph theory to analyze the relationships of spatial structure with individuality and group, interactions of daily life and sequences of relatives, this research try to explore the internal logic of space and social culture behind settlements.