Final answer:
Li Lin is not a well-documented historical figure for the scenario described, but the closest context is the interaction of the Han dynasty with the Xiongnu around 198 BC and later Chinese dynasties with the Mongols.
Step-by-step explanation:
The historical figure in question, Li Lin, is not explicitly captured in the historical records provided. However, when looking through Chinese history and considering the context, it seems there could be some confusion around the name. Nonetheless, it was during the Han dynasty around 198 BC that the ruler, Liu Bang, faced incursions from the Xiongnu, a powerful nomadic tribe from Central Asia. Liu Bang had initially to recognize the Xiongnu as a military superior. During various periods, the Chinese had complex interactions with nomadic tribes including the Xiongnu, and to maintain peace, often engaged in tributary relationships and even marriage alliances. In other periods, like during the rise of the Mongols under Chinggis Khan in the 13th century, Chinese territories faced invasions and conquests, notably the Jin dynasty being overrun by Mongol forces.