“…Simulated distance surveys were constructed by applying a detection function to determine each simulated cluster's probability of detection based on minimum perpendicular distance from the transect. The detection function used was the one most frequently selected as the best fitting in a previous analysis of park surveys (Green et al
2021). The probability of a cluster of deer being detected was modeled using a uniform key function with one cosine series adjustment (Buckland et al 2001):
where g ( x ) is the detection probability,
is a coefficient estimated from survey data, π is the ratio of a circle's circumference to its diameter, and x s is the standardized distance (observed distance divided by the maximum observed distance).…”