As we read reports every year, every month, of most unfortunate/ tragic 'stampede' cases, administrators remain ever clueless about the 'number of people' who might gather in the venues or places, for 'planned' and 'unplanned' events. In India and abroad, it has become a regular phenomenon to loose some of the members (of our own mankind), attending such events. Religious congregations/ assemblies and gatherings (like the cases of Kumbha-mela of North India, Ratha-Yatra/ Car-festival of Odisha, Sabarimala in South India; etc) or political demonstrations (occurring recently throughout the Middle-East, East-Asia, China and now in Delhi), where hundreds of thousands of people can congregate in just a few hours, are just a few of such challenges for local administrators.
But if we see and study such events as a research problem, we see that sometimes people gather all of a sudden (unplanned, as we find from the attached report on a most recent stampede, which happened in Mumbai, India).
Is there any study or finding, linking the 'degree of seriousness of news' to the 'rate of arrival' of people, and 'estimate of the maximum possible gathering' (considering the finite nature of the 'source- population', how ever large it may be)? [Both for 'planned' and un-planned' gatherings.]