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Some previous solutions to this problem are modifying and improving the contrast between symbols, or using stacking algorithms so all symbols are visible. This article proposes the displaced proportional symbol map, which displaces the symbol's location based on the amount of overlap between neighbouring circles. At the same time, it preserves the location of non-overlapping symbols, which distinguishes it from the circular cartogram. The displacement is automated through the proximity stress model algorithm for node overlap removal. This algorithm was originally designed for graph layouts with overlapping nodes, but was modified here for circular symbols and map layout. The result is a map with improved clarity and the ability to add labelling to a cluttered proportional circle map. <\/jats:p>","DOI":"10.3138\/cart.52.4.2016-0007","type":"journal-article","created":{"date-parts":[[2017,12,21]],"date-time":"2017-12-21T20:15:52Z","timestamp":1513887352000},"page":"364-370","source":"Crossref","is-referenced-by-count":2,"title":["An Automated Displaced Proportional Circle Map Using Delaunay Triangulation and an Algorithm for Node Overlap Removal"],"prefix":"10.3138","volume":"52","author":[{"given":"David","family":"Lamb","sequence":"first","affiliation":[{"name":"School of Geosciences\u00a0\/ University of South Florida\u00a0\/ Tampa\u00a0\/ FL\u00a0\/ USA"}]}],"member":"1696","reference":[{"issue":"4","key":"B1","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1080\/15230406.2013.779779","volume":"40","author":"Bereuter P.","year":"2013","journal-title":"Cartography and Geographic Information Science"},{"key":"B2","unstructured":"Bourke, Paul. 1989. \u201cEfficient Triangulation Algorithm Suitable for Terrain Modelling.\u201d Read at the Pan Pacific Computer Conference, Beijing, China, January. http:\/\/paulbourke.net\/papers\/triangulate\/"},{"issue":"29","key":"B3","doi-asserted-by":"crossref","first-page":"6","DOI":"10.14714\/CP29.672","volume":"29","author":"Brewer C.","year":"1998","journal-title":"Cartographic Perspectives"},{"issue":"2","key":"B4","doi-asserted-by":"crossref","first-page":"S25","DOI":"10.1016\/j.amepre.2005.09.007","volume":"30","author":"Brewer C.A.","year":"2006","journal-title":"American Journal of Preventive Medicine"},{"issue":"3","key":"B5","doi-asserted-by":"crossref","first-page":"543","DOI":"10.1007\/s00453-009-9281-8","volume":"58","author":"Cabello S.","year":"2010","journal-title":"Algorithmica"},{"key":"B6","volume-title":"Cartography: Thematic Map Design","author":"Dent B.D.","year":"1993","edition":"3"},{"key":"B7","series-title":"Modern Geography Series","volume-title":"Area Cartograms: Their Use and Creation. 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