“…Among this group, simulation experiment 1 employs a single pattern that (1) successful candidates who received qualified titles as Jinshi , Gongshi , Juren, Gongsheng, Jiansheng and Shengyuan were sustained in the time series, and (2) drawing was kept as a traditional life style in the descendants and painters were sustained in the time series respectively to reproduce patterns observed in the Y family line. The simulation setting corresponds to the IS with a single pattern used in [9]. In simulation experiment 2, there were two patterns of successful candidates at different scales where (1) successful candidates who passed the final examination and received titles as Jinshi were sustained in the time series, and (2) successful candidates who received titles as Gongshi , Juren, Gongsheng, Jiansheng or Shengyuan were sustained in the time series are employed to reproduce patterns observed in the Y family line.…”