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We analyze Age of Information (AoI) in wireless networks where nodes use aspatially adaptive random access scheme to send status updates to a centralbase station. We show that the set of achievable AoI in this setting is convex,and design policies to minimize weighted sum, min-max, and proportionally fairAoI by setting transmission probabilities as a function of node locations. Weshow that under the capture model, when the spatial topology of the network isconsidered, AoI can be significantly improved, and we obtain tight performancebounds on weighted sum and min-max AoI. Finally, we design a policy where eachnode sets its transmission probability based only on its own distance from thebase station, when it does not know the positions of other nodes, and show thatit converges to the optimal proportionally fair policy as the size of thenetwork goes to infinity.

Minimizing Age of Information in Spatially Distributed Random Access Wireless Networks