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We explore and analyze two widely recognized entropy metrics: random entropy and uncorrelated Shannon entropy. These metrics are estimated through collective variables of human mobility, including movement trends and population density. By employing a collisional model, we establish statistical relationships between entropy measures and mobility variables. Furthermore, our research addresses three primary objectives: firstly, validating the model; secondly, exploring correlations between aggregated mobility and entropy measures in comparison to five economic indicators; and finally, demonstrating the utility of entropy measures. Specifically, we provide an effective population density estimate that offers a more realistic understanding of social interactions. This estimation takes into account both movement regularities and intensity, utilizing real-time data analysis conducted during the peak period of the COVID-19 pandemic.<\/jats:p>","DOI":"10.3390\/e26050398","type":"journal-article","created":{"date-parts":[[2024,5,3]],"date-time":"2024-05-03T08:02:22Z","timestamp":1714723342000},"page":"398","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["On an Aggregated Estimate for Human Mobility Regularities through Movement Trends and Population Density"],"prefix":"10.3390","volume":"26","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5624-4213","authenticated-orcid":false,"given":"Fabio","family":"Vanni","sequence":"first","affiliation":[{"name":"Department of Economics, University of Insubria, 21100 Varese, Italy"},{"name":"Universit\u00e9 C\u00f4te d\u2019Azur, CNRS, GREDEG, 06103 Nice-Sophia Antipolis, France"}]},{"given":"David","family":"Lambert","sequence":"additional","affiliation":[{"name":"Department of Physics, University of North Texas, Denton, TX 76205, USA"}]}],"member":"1968","published-online":{"date-parts":[[2024,4,30]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.physrep.2018.01.001","article-title":"Human mobility: Models and applications","volume":"734","author":"Barbosa","year":"2018","journal-title":"Phys. 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