Stochastic replay is a channel simulation method that generates random time-varying impulse responses (TVIRs) from data collected at sea. Most existing replay-based simulators only consider single-input single-output transmissions. In this paper, a single-input multiple-output (SIMO) stochastic replay- based simulator is presented. It is shown to keep temporal, inter-tap as well as spatial correlations consistent with those of the TVIR measured at sea. Numerical examples applied to data collected in Brest harbor, France, are discussed