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Autonomous rechargeable sensor networks are becoming a feasible solution to many real world applications. In this paper, we propose a Uniform Sensing Protocol for autonomous rechargeable sensor networks. Our protocol aims to provide uniformly distributed sensing throughout the entire life-time of the network, thus increasing the overall network reliability. It considers the amount of available energy in the environment as well as the probability of encountering a specific number of threats. Using these parameters, each node estimates its own active period, such that uniform sensing is established. We compare the performance of our protocol with static and dynamic active time slot approaches. The simulation results show that the Uniform Sensing Protocol generates fewer failures and has a significantly longer mean time to failure than the other two schemes.