{"id":"https://openalex.org/W4309446901","doi":"https://doi.org/10.1080/13658816.2022.2147530","title":"A generalized heterogeneity model for spatial interpolation","display_name":"A generalized heterogeneity model for spatial interpolation","publication_year":2022,"publication_date":"2022-11-20","ids":{"openalex":"https://openalex.org/W4309446901","doi":"https://doi.org/10.1080/13658816.2022.2147530"},"language":"en","primary_location":{"id":"doi:10.1080/13658816.2022.2147530","is_oa":false,"landing_page_url":"https://doi.org/10.1080/13658816.2022.2147530","pdf_url":null,"source":{"id":"https://openalex.org/S4210181446","display_name":"International Journal of Geographical Information Systems","issn_l":"0269-3798","issn":["0269-3798","1362-3087"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Geographical Information Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103140655","display_name":"Peng Luo","orcid":null},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Peng Luo","raw_affiliation_strings":["Cartography and Visual Analytics, Technical University of Munich, Munich, Germany"],"affiliations":[{"raw_affiliation_string":"Cartography and Visual Analytics, Technical University of Munich, Munich, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065865699","display_name":"Yongze Song","orcid":"https://orcid.org/0000-0003-3420-9622"},"institutions":[{"id":"https://openalex.org/I205640436","display_name":"Curtin University","ror":"https://ror.org/02n415q13","country_code":"AU","type":"education","lineage":["https://openalex.org/I205640436"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Yongze Song","raw_affiliation_strings":["School of Design and the Built Environment, Curtin University, Perth, Australia"],"affiliations":[{"raw_affiliation_string":"School of Design and the Built Environment, Curtin University, Perth, Australia","institution_ids":["https://openalex.org/I205640436"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020452677","display_name":"Di Zhu","orcid":"https://orcid.org/0000-0002-3237-6032"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Di Zhu","raw_affiliation_strings":["Department of Geography, Environment and Society, University of Minnesota, Minneapolis, MN, USA"],"affiliations":[{"raw_affiliation_string":"Department of Geography, Environment and Society, University of Minnesota, Minneapolis, MN, USA","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016223719","display_name":"Junyi Cheng","orcid":"https://orcid.org/0000-0002-9225-2824"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]},{"id":"https://openalex.org/I4210166112","display_name":"State Key Laboratory of Remote Sensing Science","ror":"https://ror.org/05wzjqa24","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210166112"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Junyi Cheng","raw_affiliation_strings":["Institute of Remote Sensing and Geographic Information Systems, Peking University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Institute of Remote Sensing and Geographic Information Systems, Peking University, Beijing, China","institution_ids":["https://openalex.org/I4210166112","https://openalex.org/I20231570"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057986367","display_name":"Liqiu Meng","orcid":"https://orcid.org/0000-0001-8787-3418"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Liqiu Meng","raw_affiliation_strings":["Cartography and Visual Analytics, Technical University of Munich, Munich, Germany"],"affiliations":[{"raw_affiliation_string":"Cartography and Visual Analytics, Technical University of Munich, Munich, Germany","institution_ids":["https://openalex.org/I62916508"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5065865699"],"corresponding_institution_ids":["https://openalex.org/I205640436"],"apc_list":null,"apc_paid":null,"fwci":14.2493,"has_fulltext":false,"cited_by_count":59,"citation_normalized_percentile":{"value":0.98662591,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"37","issue":"3","first_page":"634","last_page":"659"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11911","display_name":"Spatial and Panel Data Analysis","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11911","display_name":"Spatial and Panel Data Analysis","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10226","display_name":"Land Use and Ecosystem Services","score":0.9936000108718872,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10841","display_name":"Economic and Environmental Valuation","score":0.9790999889373779,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.7285350561141968},{"id":"https://openalex.org/keywords/multivariate-interpolation","display_name":"Multivariate interpolation","score":0.718143105506897},{"id":"https://openalex.org/keywords/spatial-heterogeneity","display_name":"Spatial heterogeneity","score":0.6073709726333618},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.5992501974105835},{"id":"https://openalex.org/keywords/spatial-analysis","display_name":"Spatial analysis","score":0.5711521506309509},{"id":"https://openalex.org/keywords/spatial-distribution","display_name":"Spatial distribution","score":0.490315705537796},{"id":"https://openalex.org/keywords/spatial-variability","display_name":"Spatial variability","score":0.47031369805336},{"id":"https://openalex.org/keywords/spatial-dependence","display_name":"Spatial dependence","score":0.4455929100513458},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.4229659140110016},{"id":"https://openalex.org/keywords/cartography","display_name":"Cartography","score":0.37497955560684204},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.32705533504486084},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3057979643344879},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25911760330200195},{"id":"https://openalex.org/keywords/remote-sensing","display_name":"Remote sensing","score":0.21042323112487793},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.1995595097541809},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.18114590644836426},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.08190545439720154},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.07933568954467773}],"concepts":[{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.7285350561141968},{"id":"https://openalex.org/C203332170","wikidata":"https://www.wikidata.org/wiki/Q6334079","display_name":"Multivariate interpolation","level":3,"score":0.718143105506897},{"id":"https://openalex.org/C180478619","wikidata":"https://www.wikidata.org/wiki/Q7574066","display_name":"Spatial heterogeneity","level":2,"score":0.6073709726333618},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.5992501974105835},{"id":"https://openalex.org/C159620131","wikidata":"https://www.wikidata.org/wiki/Q1938983","display_name":"Spatial analysis","level":2,"score":0.5711521506309509},{"id":"https://openalex.org/C2777016058","wikidata":"https://www.wikidata.org/wiki/Q7574061","display_name":"Spatial distribution","level":2,"score":0.490315705537796},{"id":"https://openalex.org/C94747663","wikidata":"https://www.wikidata.org/wiki/Q7574086","display_name":"Spatial variability","level":2,"score":0.47031369805336},{"id":"https://openalex.org/C138695830","wikidata":"https://www.wikidata.org/wiki/Q1938983","display_name":"Spatial dependence","level":2,"score":0.4455929100513458},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.4229659140110016},{"id":"https://openalex.org/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","level":1,"score":0.37497955560684204},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.32705533504486084},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3057979643344879},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25911760330200195},{"id":"https://openalex.org/C62649853","wikidata":"https://www.wikidata.org/wiki/Q199687","display_name":"Remote sensing","level":1,"score":0.21042323112487793},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.1995595097541809},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.18114590644836426},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.08190545439720154},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.07933568954467773},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/13658816.2022.2147530","is_oa":false,"landing_page_url":"https://doi.org/10.1080/13658816.2022.2147530","pdf_url":null,"source":{"id":"https://openalex.org/S4210181446","display_name":"International Journal of Geographical Information Systems","issn_l":"0269-3798","issn":["0269-3798","1362-3087"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Geographical Information Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/14","score":0.8700000047683716,"display_name":"Life below water"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W422114656","https://openalex.org/W1964403399","https://openalex.org/W1977091958","https://openalex.org/W1977556410","https://openalex.org/W1986149296","https://openalex.org/W1987241267","https://openalex.org/W1990433983","https://openalex.org/W1995819826","https://openalex.org/W1996020380","https://openalex.org/W2014116727","https://openalex.org/W2017917631","https://openalex.org/W2020324269","https://openalex.org/W2023706417","https://openalex.org/W2024697317","https://openalex.org/W2026403332","https://openalex.org/W2027792629","https://openalex.org/W2049600539","https://openalex.org/W2053697364","https://openalex.org/W2058664147","https://openalex.org/W2064508963","https://openalex.org/W2075141946","https://openalex.org/W2116906236","https://openalex.org/W2140405352","https://openalex.org/W2151832869","https://openalex.org/W2163283323","https://openalex.org/W2321978218","https://openalex.org/W2343188872","https://openalex.org/W2396871564","https://openalex.org/W2601040602","https://openalex.org/W2612910618","https://openalex.org/W2789589646","https://openalex.org/W2898586047","https://openalex.org/W2936185297","https://openalex.org/W2982437619","https://openalex.org/W2986133642","https://openalex.org/W2988585371","https://openalex.org/W2999919103","https://openalex.org/W3012172656","https://openalex.org/W3024110832","https://openalex.org/W3037362457","https://openalex.org/W3092230576","https://openalex.org/W3156015348","https://openalex.org/W3193804698","https://openalex.org/W4224943939","https://openalex.org/W4225146131","https://openalex.org/W4236354984","https://openalex.org/W4281717142","https://openalex.org/W4289783540","https://openalex.org/W4388284198","https://openalex.org/W6743450756"],"related_works":["https://openalex.org/W2355488883","https://openalex.org/W2366445832","https://openalex.org/W4249518248","https://openalex.org/W2791815799","https://openalex.org/W2354809762","https://openalex.org/W2358015382","https://openalex.org/W2885510933","https://openalex.org/W2367916024","https://openalex.org/W2362328340","https://openalex.org/W2353577050"],"abstract_inverted_index":{"Spatial":[0,9],"heterogeneity":[1,15,24,40],"refers":[2],"to":[3,18,44,59,152,161],"uneven":[4],"distributions":[5,102],"of":[6,65,75,103],"geographical":[7],"variables.":[8],"interpolation":[10,46,118,131],"methods":[11],"that":[12,112],"utilize":[13],"spatial":[14,23,56,73,82,101,163],"are":[16],"sensitive":[17],"the":[19,60,72,76,81,96,100,116,121,150],"way":[20],"in":[21,106,168],"which":[22],"is":[25],"characterized.":[26],"This":[27],"study":[28,52,122],"developed":[29],"a":[30,51,66],"Generalized":[31],"Heterogeneity":[32],"Model":[33],"(GHM)":[34],"for":[35,166],"characterizing":[36],"local":[37],"and":[38,43,63,79,89,124,139,158],"stratified":[39],"within":[41,78],"variables":[42],"improve":[45,162],"accuracy.":[47],"GHM":[48,69,85,97,113,133,148],"first":[49],"divides":[50],"area":[53,123],"into":[54],"multiple":[55],"strata":[57,126,143],"according":[58],"sample":[61],"values":[62],"locations":[64],"variable.":[67],"Then,":[68],"estimates":[70,88],"simultaneously":[71],"variations":[74],"variable":[77],"between":[80],"strata.":[83],"Finally,":[84],"interpolates":[86],"unbiased":[87],"uncertainty":[90],"at":[91],"unsampled":[92],"locations.":[93],"We":[94],"demonstrated":[95],"by":[98],"predicting":[99],"marine":[104],"chlorophyll":[105],"Townsville,":[107],"Queensland,":[108],"Australia.":[109],"Results":[110],"show":[111],"improved":[114],"both":[115],"overall":[117],"accuracy":[119,165],"across":[120],"along":[125,142],"boundaries":[127],"compared":[128],"with":[129,155],"previous":[130],"models.":[132],"also":[134],"avoided":[135],"bull\u2019s":[136],"eye":[137],"patterns":[138],"abrupt":[140],"changes":[141],"boundaries.":[144],"In":[145],"future":[146],"studies,":[147],"has":[149],"potential":[151],"be":[153],"integrated":[154],"machine":[156],"learning":[157],"advanced":[159],"algorithms":[160],"prediction":[164],"studies":[167],"broader":[169],"fields.":[170]},"counts_by_year":[{"year":2026,"cited_by_count":7},{"year":2025,"cited_by_count":24},{"year":2024,"cited_by_count":17},{"year":2023,"cited_by_count":11}],"updated_date":"2026-04-17T18:11:37.981687","created_date":"2025-10-10T00:00:00"}