  We investigate the performance of a random access network consisting of
source-destination dipoles. The source nodes transmit information packets to
their destinations over a shared spectrum. All the transmitters in this network
adhere to an age threshold slotted ALOHA (TSA) protocol: every source node
remains silent until the age of information (AoI) reaches a threshold, after
which the source accesses the radio channel with a certain probability. We
derive a tight approximation for the signal-to-interference-plus-noise ratio
(SINR) meta distribution and verify its accuracy through simulations. We also
obtain analytical expressions for the average AoI. Our analysis reveals that
when the network is densely deployed, employing TSA significantly decreases the
average AoI. The update rate and age threshold must be jointly optimized to
fully exploit the potential of the TSA protocol.
