{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,12]],"date-time":"2026-01-12T07:50:49Z","timestamp":1768204249333,"version":"3.49.0"},"reference-count":20,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2025,12,28]],"date-time":"2025-12-28T00:00:00Z","timestamp":1766880000000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"funder":[{"DOI":"10.13039\/501100021171","name":"Basic and Applied Basic Research Foundation of Guangdong Province","doi-asserted-by":"publisher","award":["2023A1515010884"],"award-info":[{"award-number":["2023A1515010884"]}],"id":[{"id":"10.13039\/501100021171","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Concurrency and Computation"],"published-print":{"date-parts":[[2026,1]]},"abstract":"<jats:title>ABSTRACT<\/jats:title>\n                  <jats:p>Accurate forecasting of air pollutant concentrations is crucial for environmental protection and public health. This paper proposes STAG, a novel spatiotemporal architecture for multi\u2010step air quality prediction. The model features a symmetric inner\u2013outer layer structure that integrates Stacked Fluctuation\u2010Weighted Multi\u2010Head Self\u2010Attention (SF\u2010MHSA)and Graph Networks (GNs), effectively capturing complex temporal patterns and inter\u2010pollutant relationships while maintaining computational efficiency through parameter sharing. We introduce a multi\u2010order loss function incorporating first and second\u2010order difference errors to enhance prediction stability and trend accuracy. Additionally, a stationarity correction mechanism is designed to mitigate distribution drift in long\u2010term forecasting. Comprehensive interpretability analyses validate the model's capability to learn meaningful spatiotemporal dependencies. Forecasting results on Shenzhen air quality data further demonstrate that STAG achieves superior performance against state\u2010of\u2010the\u2010art benchmarks in both accuracy and efficiency (lowest  prediction MSE 366.68 vs. the second best of 477.76). The proposed framework provides an effective solution for air quality forecasting with potential applications in other environmental monitoring domains.<\/jats:p>","DOI":"10.1002\/cpe.70515","type":"journal-article","created":{"date-parts":[[2025,12,29]],"date-time":"2025-12-29T04:03:52Z","timestamp":1766981032000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["STAG: STabilized Multi\u2010Layer Nested Iterative Network With Multi\u2010Head Self\u2010Attention and Graph Network Modules for Multi\u2010Step Forecasting of Multiple Air Quality Indices"],"prefix":"10.1002","volume":"38","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0899-6741","authenticated-orcid":false,"given":"Chaodong","family":"Chen","sequence":"first","affiliation":[{"name":"Faculty of Frontier Sciences Harbin Institute of Technology  Shenzhen China"}]},{"given":"Zhenghui","family":"Feng","sequence":"additional","affiliation":[{"name":"Faculty of Frontier Sciences Harbin Institute of Technology  Shenzhen China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6849-8827","authenticated-orcid":false,"given":"Zijian","family":"Huang","sequence":"additional","affiliation":[{"name":"Faculty of Frontier Sciences Harbin Institute of Technology  Shenzhen China"}]}],"member":"311","published-online":{"date-parts":[[2025,12,28]]},"reference":[{"key":"e_1_2_10_2_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.rmed.2025.107996"},{"key":"e_1_2_10_3_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.ccm.2024.02.025"},{"key":"e_1_2_10_4_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.ecoenv.2024.116871"},{"key":"e_1_2_10_5_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cities.2019.01.025"},{"key":"e_1_2_10_6_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00477-009-0361-8"},{"key":"e_1_2_10_7_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.atmosenv.2010.05.009"},{"key":"e_1_2_10_8_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.heliyon.2022.e12239"},{"key":"e_1_2_10_9_1","doi-asserted-by":"publisher","DOI":"10.1002\/2017JD028052"},{"key":"e_1_2_10_10_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.apr.2017.01.003"},{"key":"e_1_2_10_11_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.eti.2022.102776"},{"key":"e_1_2_10_12_1","doi-asserted-by":"publisher","DOI":"10.1155\/2012\/518032"},{"key":"e_1_2_10_13_1","doi-asserted-by":"publisher","DOI":"10.1088\/1742-6596\/1302\/3\/032046"},{"key":"e_1_2_10_14_1","doi-asserted-by":"publisher","DOI":"10.1007\/s11356-020-08948-1"},{"key":"e_1_2_10_15_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.apr.2022.101358"},{"key":"e_1_2_10_16_1","first-page":"1","article-title":"Recurrent Neural Network Modeling of Multivariate Time Series and Its Application in Temperature Forecasting","volume":"18","author":"Appau N. 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