Trop_XS: an intelligent architecture for real-time wide-area ZTD corrections modeling driven by heterogeneous observations

Trop_XS: an intelligent architecture for real-time wide-area ZTD corrections modeling driven by heterogeneous observations | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Trop_XS: an intelligent architecture for real-time wide-area ZTD corrections modeling driven by heterogeneous observations Xiang Gao, Pan Li, Junhua Kang, Shaoni Chen, Jiadi Dai, Zhiyuan Wu This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7274895/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 9 You are reading this latest preprint version Abstract Modeling real-time zenith total delay (ZTD) remains a challenge owing to the rapidly changing water vapor conditions influenced by geography and climate. In this contribution, we propose Trop_XS, an innovative architecture that integrates the extreme gradient boosting (XGBoost) and spherical cap harmonic analysis (SCHA) algorithms with multi-source heterogeneous data, to support real-time wide-area tropospheric augmentation services. XGBoost enables rapid fusion of epoch-wise features, generating ZTD corrections at predefined grid points with a mean RMS below 11 mm. Building on the empirical ZTD model, the enhanced SCHA-E solution is employed to model the ZTD corrections from reference sites and regular grids, achieving a favorable trade-off between accuracy and communication burden. Validated against 6-month post-processing ZTD from 31 external test stations, Trop_XS-derived ZTD achieves a mean RMS of 13.4 mm, outperforming MOFC, VMF3_SCHA, and GNSS_interp solutions by 25.3%, 10.5%, and 11.4%, respectively. Furthermore, the proposed model demonstrates superior spatiotemporal applicability in areas characterized by complex terrain and limited station density, as well as during periods with active water vapor. Statistical results of the real-time precise point positioning (PPP) demonstrate that incorporating Trop_XS ZTD constraints effectively weakens the vertical error and accelerates initialization, shortening vertical convergence times by 36.4% in winter and 32.3% in summer, respectively. Given its scalability, the Trop_XS solution holds potential in other challenging regions, enhancing GNSS satellite-based PPP services and numerical weather forecasting capabilities. GNSS Zenith total delay XGBoost SCHA Precise point positioning Heterogeneous observations Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Under Review Version 1 posted Editorial decision: Revision requested 12 Dec, 2025 Reviews received at journal 05 Dec, 2025 Reviews received at journal 28 Oct, 2025 Reviewers agreed at journal 14 Oct, 2025 Reviewers agreed at journal 13 Oct, 2025 Reviewers invited by journal 13 Oct, 2025 Editor assigned by journal 02 Aug, 2025 Submission checks completed at journal 02 Aug, 2025 First submitted to journal 01 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. We do this by developing innovative software and high quality services for the global research community. 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Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-7274895","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":529211087,"identity":"0ce28223-681e-4349-9d3d-67b036a033ef","order_by":0,"name":"Xiang Gao","email":"","orcid":"","institution":"Chang’an University","correspondingAuthor":false,"prefix":"","firstName":"Xiang","middleName":"","lastName":"Gao","suffix":""},{"id":529211088,"identity":"929d5235-7698-4ada-ac67-09cdbfc87b95","order_by":1,"name":"Pan Li","email":"","orcid":"","institution":"Chang’an 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In this contribution, we propose Trop_XS, an innovative architecture that integrates the extreme gradient boosting (XGBoost) and spherical cap harmonic analysis (SCHA) algorithms with multi-source heterogeneous data, to support real-time wide-area tropospheric augmentation services. XGBoost enables rapid fusion of epoch-wise features, generating ZTD corrections at predefined grid points with a mean RMS below 11 mm. Building on the empirical ZTD model, the enhanced SCHA-E solution is employed to model the ZTD corrections from reference sites and regular grids, achieving a favorable trade-off between accuracy and communication burden. Validated against 6-month post-processing ZTD from 31 external test stations, Trop_XS-derived ZTD achieves a mean RMS of 13.4 mm, outperforming MOFC, VMF3_SCHA, and GNSS_interp solutions by 25.3%, 10.5%, and 11.4%, respectively. Furthermore, the proposed model demonstrates superior spatiotemporal applicability in areas characterized by complex terrain and limited station density, as well as during periods with active water vapor. Statistical results of the real-time precise point positioning (PPP) demonstrate that incorporating Trop_XS ZTD constraints effectively weakens the vertical error and accelerates initialization, shortening vertical convergence times by 36.4% in winter and 32.3% in summer, respectively. Given its scalability, the Trop_XS solution holds potential in other challenging regions, enhancing GNSS satellite-based PPP services and numerical weather forecasting capabilities.\u003c/p\u003e","manuscriptTitle":"Trop_XS: an intelligent architecture for real-time wide-area ZTD corrections modeling driven by heterogeneous observations","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2025-10-27 14:43:32","doi":"10.21203/rs.3.rs-7274895/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"decision","content":"Revision requested","date":"2025-12-12T20:08:18+00:00","index":"","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2025-12-05T12:51:32+00:00","index":"hide","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2025-10-28T07:08:58+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"239575721313569328157022623958260782267","date":"2025-10-14T05:34:31+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"292063140061328183013113452775056747767","date":"2025-10-14T00:19:00+00:00","index":"hide","fulltext":""},{"type":"reviewersInvited","content":"","date":"2025-10-13T22:55:48+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2025-08-02T19:35:12+00:00","index":"","fulltext":""},{"type":"checksComplete","content":"","date":"2025-08-02T14:44:59+00:00","index":"","fulltext":""},{"type":"submitted","content":"GPS Solutions","date":"2025-08-02T02:00:14+00:00","index":"","fulltext":""}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"gps-solutions","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"gpss","sideBox":"Learn more about [GPS Solutions](http://link.springer.com/journal/10291)","snPcode":"10291","submissionUrl":"https://submission.nature.com/new-submission/10291/3","title":"GPS Solutions","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false}}],"origin":"","ownerIdentity":"5f09df79-eedd-4d12-8dd8-a9b320f31dd2","owner":[],"postedDate":"October 27th, 2025","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"under-review","subjectAreas":[],"tags":[],"updatedAt":"2026-03-23T06:09:04+00:00","versionOfRecord":[],"versionCreatedAt":"2025-10-27 14:43:32","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-7274895","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-7274895","identity":"rs-7274895","version":["v1"]},"buildId":"8U1c8b4HqxoKbykW_rLl7","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}