In Pursuit of the Optimal City: Evaluation of Procedurally Generated City Layouts

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This preprint studies how different procedurally generated road network structures affect city performance, using the CitySprout generator to create cities with distinct layouts and then analyzing them with three metrics: road density (space efficiency), living structure (liveability), and mean circuity (travel distance efficiency). The authors compare grid, organic, and line-like structures and report tradeoffs, with grids fitting the most people in a given area, organic layouts scoring as highly liveable, and line structures enabling near-direct travel with only small detours. They explicitly discuss limitations of optimizing city structure through this metric-driven, network-analysis approach, noting that the “optimal” structure depends on which metric is prioritized. The paper does not explicitly discuss endometriosis or adenomyosis; it was included in the corpus via a keyword match in the upstream search index.

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Abstract

Abstract With the world population increasing, new living areas must be created to accommodate the increased number of people. The designs of most existing cities have a series of well-documented limitations. For example, some cities have serious traffic congestion problems, while others are unsafe. There is a lot of research on methods of improving parts of existing cities, and in many cases the improvement of a city is a constant and ongoing process. However, this research is limited by a few key factors: it is applied to the designs of current cities; it typically focuses on specific, localised issues; and they typically aim to fulfil a single objective, rather than optimise all aspects of a city at once.Recently, cities such as the {\em The Line} (Neom) project in Saudi Arabia, and Brasilia and Canberra before it, have been designed and built from scratch. These projects often make bold claims that their designs are ``optimal" in some regard.To directly compare how different city structures influence the efficiency of a city, we take a principled approach by procedurally generating a series of cities of different structure using {\em CitySprout}, a novel and open-source road network generator. We generate cities and then then compare them in the context of three key metrics: road density, to quantify space efficiency; living structure, to quantify 'liveability'; and mean circuity, to quantify travel distance efficiency.We discuss the limitations of attempting to optimise cities in this way, and then conclude that the optimal city structure depends on which metric is considered most important. A Grid structure can fit the most people in a given area; an Organic structure is highly liveable; and a Line structure allows for almost direct travel across the city, with only small detours required.
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The designs of most existing cities have a series of well-documented limitations. For example, some cities have serious traffic congestion problems, while others are unsafe. There is a lot of research on methods of improving parts of existing cities, and in many cases the improvement of a city is a constant and ongoing process. However, this research is limited by a few key factors: it is applied to the designs of current cities; it typically focuses on specific, localised issues; and they typically aim to fulfil a single objective, rather than optimise all aspects of a city at once.Recently, cities such as the {\em The Line} (Neom) project in Saudi Arabia, and Brasilia and Canberra before it, have been designed and built from scratch. These projects often make bold claims that their designs are ``optimal" in some regard.To directly compare how different city structures influence the efficiency of a city, we take a principled approach by procedurally generating a series of cities of different structure using {\em CitySprout}, a novel and open-source road network generator. We generate cities and then then compare them in the context of three key metrics: road density, to quantify space efficiency; living structure, to quantify 'liveability'; and mean circuity, to quantify travel distance efficiency.We discuss the limitations of attempting to optimise cities in this way, and then conclude that the optimal city structure depends on which metric is considered most important. A Grid structure can fit the most people in a given area; an Organic structure is highly liveable; and a Line structure allows for almost direct travel across the city, with only small detours required. Procedural generation network analysis city layout L-systems road networks optimal city Full Text Additional Declarations No competing interests reported. Supplementary Files 250830SupplementaryInformationInPursuitoftheOptimalCityEvaluationofProcedurallyGeneratedCityLayouts.pdf Cite Share Download PDF Status: Under Review Version 1 posted Reviewers agreed at journal 10 Nov, 2025 Reviewers agreed at journal 06 Nov, 2025 Reviewers invited by journal 04 Nov, 2025 Editor assigned by journal 02 Sep, 2025 Submission checks completed at journal 01 Sep, 2025 First submitted to journal 30 Aug, 2025 You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. 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The designs of most existing cities have a series of well-documented limitations. For example, some cities have serious traffic congestion problems, while others are unsafe. There is a lot of research on methods of improving parts of existing cities, and in many cases the improvement of a city is a constant and ongoing process. However, this research is limited by a few key factors: it is applied to the designs of current cities; it typically focuses on specific, localised issues; and they typically aim to fulfil a single objective, rather than optimise all aspects of a city at once.Recently, cities such as the {\\em The Line} (Neom) project in Saudi Arabia, and Brasilia and Canberra before it, have been designed and built from scratch. These projects often make bold claims that their designs are ``optimal\" in some regard.To directly compare how different city structures influence the efficiency of a city, we take a principled approach by procedurally generating a series of cities of different structure using {\\em CitySprout}, a novel and open-source road network generator. We generate cities and then then compare them in the context of three key metrics: road density, to quantify space efficiency; living structure, to quantify 'liveability'; and mean circuity, to quantify travel distance efficiency.We discuss the limitations of attempting to optimise cities in this way, and then conclude that the optimal city structure depends on which metric is considered most important. A Grid structure can fit the most people in a given area; an Organic structure is highly liveable; and a Line structure allows for almost direct travel across the city, with only small detours required.\u003c/p\u003e","manuscriptTitle":"In Pursuit of the Optimal City: Evaluation of Procedurally Generated City Layouts","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2025-11-14 16:08:49","doi":"10.21203/rs.3.rs-7492997/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"reviewerAgreed","content":"332137691257871199658961989548224540902","date":"2025-11-10T16:03:53+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"137635638646776066662284264023800197603","date":"2025-11-06T09:58:14+00:00","index":"hide","fulltext":""},{"type":"reviewersInvited","content":"","date":"2025-11-04T10:08:08+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2025-09-02T09:37:53+00:00","index":"","fulltext":""},{"type":"checksComplete","content":"","date":"2025-09-01T06:56:08+00:00","index":"","fulltext":""},{"type":"submitted","content":"EPJ Data Science","date":"2025-08-30T05:42:13+00:00","index":"","fulltext":""}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"epj-data-science","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"epds","sideBox":"Learn more about [EPJ Data Science](https://epjdatascience.springeropen.com/)","snPcode":"13688","submissionUrl":"https://submission.springernature.com/new-submission/13688/3","title":"EPJ Data Science","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Springer Open","inReviewEnabled":true,"inReviewRevisionsEnabled":true}}],"origin":"","ownerIdentity":"0a80cfb2-35e4-4a8c-996d-cf6d6004c6dd","owner":[],"postedDate":"November 14th, 2025","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"under-review","subjectAreas":[],"tags":[],"updatedAt":"2026-05-22T07:45:09+00:00","versionOfRecord":[],"versionCreatedAt":"2025-11-14 16:08:49","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-7492997","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-7492997","identity":"rs-7492997","version":["v1"]},"buildId":"8U1c8b4HqxoKbykW_rLl7","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}

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