We exploit the known links between natural habitats and biodiversity to pose and study the biodiversity conservation question as an optimal stopping problem. We extend the extant literature on this question by studying the role that autonomous and nonautonomous policies play in the decision to conserve biodiversity over time and under uncertainty. We first construct a dynamic and stochastic model of decision making in the context of biodiversity conservation. Next, we use this model to analyze the expected utility of a social planner when this planner uses, respectively, autonomous and nonautonomous policies. Finally, we compare and contrast the properties of autonomous and nonautonomous conservation policies and we discuss the magnitude of the flexibility premium stemming from the maintenance of temporal flexibility in decision making.