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The multi-wavelength detection of GW170817 has inaugurated multi-messengerastronomy. The next step consists in interpreting observations coming frompopulation of gravitational wave sources. We introduce saprEMo, a tool aimed atpredicting the number of electromagnetic signals characterised by a specificlight curve and spectrum, expected in a particular sky survey. By looking atpast surveys, saprEMo allows us to constrain models of electromagnetic emissionor event rates. Applying saprEMo to proposed astronomical missions/observingcampaigns provides a perspective on their scientific impact and tests theeffect of adopting different observational strategies. For our first casestudy, we adopt a model of spindown-powered X-ray emission predicted for abinary neutron star merger producing a long-lived neutron star. We applysaprEMo on data collected by XMM-Newton and Chandra and during $10^4$ s ofobservations with the mission concept THESEUS. We demonstrate that our emissionmodel and binary neutron star merger rate imply the presence of some signals inthe XMM-Newton catalogs. We also show that the new class of X-ray transientsfound by Bauer et al. in the Chandra Deep Field-South is marginally consistentwith the expected rate. Finally, by studying the mission concept THESEUS, wedemonstrate the substantial impact of a much larger field of view in searchesof X-ray transients.

saprEMo: a simplified algorithm for predicting detections of electromagnetic transients in surveys