Humankind has a natural instinct to survive, which is true for individuals, families, lineages and national populations. Accordingly, many people have hoped their descendent groups or lineages could survive forever. Our knowledge about lineage survival however is very limited. We know that people living today have all descended from our common ancestors who lived hundreds of thousands years ago, but we do not know how many lineage populations have become extinct in the long history, or what is the chance for a lineage population to die out, or what is the chance for a lineage population to extend to, for example 10 or 20 generations. This study, using a computer microsimulation system, investigates the following research questions: under demographic conditions similar to those observed in the past, if 1,000 individuals and their spouses started their lineages some time ago, how many of these lineages have extended for more than ten or more than generations? What was the chance of survival for a certain number of generations? What kinds of demographic conditions contributed to the extinction or continuation of lineage populations? To what extent fertility, mortality and marriage patterns and speed of population growth varied among the surviving lineage populations?