This document discusses biases that exist in estimates of biodiversity based on the fossil record. It explores how sampling biases have affected historical estimates of biodiversity through time, known as lineage-through-time plots. Several examples are given of biodiversity estimates for different fossil groups that have been re-analyzed using larger databases, subsampling techniques, and modeling to account for sampling biases and develop more accurate curves. The conclusions emphasize that sampling biases are pervasive in the fossil record and must be accounted for when making inferences about past biodiversity patterns through time.