rephrase this: The absence of the Bailey correction introduces bias into the estimates, as some marked elk may have been sighted more than once during the recapture samples, leading to an overestimation of the population size. This bias occurs because the Peterson model assumes that each marked individual has an equal probability of being recaptured, regardless of whether it has been sighted before. However, when marked elk are sighted multiple times, they are more likely to be included in the recapture sample, inflating the estimate of the population size. Therefore, without the Bailey correction to account for multiple sightings, the estimates are biased towards higher population sizes