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. 2021 Feb 18;11:4080. doi: 10.1038/s41598-021-83204-1

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© The Author(s) 2021

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

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Observed Ripley’s K-functions and simulated envelopes for Poisson point process models in the study areas. $r$ —The vector of values of the argument r at which the function K has been estimated; $\hat{K}$ —The estimates of $K (r)$ ; $obs$ —Observed values of the summary function for the dengue patient location data pattern; $lo$ —Lower envelope of simulations; $hi$ —Higher envelope of simulations.