  The increasing interest in understanding anthropogenic impacts on the
environment have led to a considerable number of studies focusing on
sedimentary records for the last $\sim$ 100 - 200 years. Dating this period is
often complicated by the poor resolution and large errors associated with
radiocarbon (14C) ages, which is the most popular dating technique. To improve
age-depth model resolution for the recent period, sediment dating with lead-210
($^{210}$Pb) is widely used as it provides absolute and continuous dates for
the last $\sim$ 100 - 150 years. The $^{210}$Pb dating method has traditionally
relied on the Constant Rate of Supply (CRS, also known as Constant Flux - CF)
model which uses the radioactive decay equation as an age-depth relationship
resulting in a restrictive model to approximate dates. In this work, we compare
the classical approach to $^{210}$Pb dating (CRS) and its Bayesian alternative
(\textit{Plum}). To do so, we created simulated $^{210}$Pb profiles following
three different sedimentation processes, complying with the assumptions imposed
by the CRS model, and analysed them using both approaches. Results indicate
that the CRS model does not capture the true values even with a high dating
resolution for the sediment, nor improves does its accuracy improve as more
information is available. On the other hand, the Bayesian alternative
(\textit{Plum}) provides consistently more accurate results even with few
samples, and its accuracy and precision constantly improves as more information
is available.
