We consider a homogeneous Poisson bipolar network in which the bipoles represent source-destination pairs. The source nodes need to update their destinations about the new status perpetually, and the communications are taken place over a shared spectrum. The common goal of the source nodes is to minimize the network-wide age of information (AoI). We develop a policy by which every source node can adapt its frequency of generating status updates in a local and decentralized manner. At the same time, the network average AoI is minimized by reducing interference amongst transmitters located in geographical proximity. Following this policy, we also derive mathematical expressions to characterize the distribution of the optimal updating rate at each source node, the network average AoI, and the AoI violation probability, i.e., the probability that the AoI of a typical source node exceeds an age threshold. The analytical results are combined with discrete event simulations to provide a detailed evaluation of the performance of the proposed scheme. Particularly, it is shown that our policy is able to adaptively adjust the updating rate of each source node according to the variant of the network topology. In this manner, it is instrumental in decreasing both the network average AoI and AoI violation probability. Additionally, the scheme can maintain the AoI at a low level even when the network grows in size.
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