{"id":"https://openalex.org/W77507483","doi":"https://doi.org/10.1201/b12612-22","title":"Frame independent spatial analysis","display_name":"Frame independent spatial analysis","publication_year":1989,"publication_date":"1989-12-06","ids":{"openalex":"https://openalex.org/W77507483","doi":"https://doi.org/10.1201/b12612-22","mag":"77507483"},"language":"en","primary_location":{"id":"doi:10.1201/b12612-22","doi":"https://doi.org/10.1201/b12612-22","is_oa":false,"landing_page_url":"https://doi.org/10.1201/b12612-22","pdf_url":null,"source":{"id":"https://openalex.org/S4306463075","display_name":"CRC Press eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310320584","host_organization_name":"CRC Press","host_organization_lineage":["https://openalex.org/P4310320584","https://openalex.org/P4310320547"],"host_organization_lineage_names":["CRC Press","Taylor & Francis"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Accuracy Of Spatial Databases","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W1970562816","display_name":"The Accuracy Of Spatial Databases"},"type":"book-chapter","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/A5080393680","display_name":"Waldo Tobler","orcid":"https://orcid.org/0000-0002-0049-8502","observed_orcids":["https://orcid.org/0000-0002-0049-8502"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Waldo R. Tobler","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5080393680"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.0013,"has_fulltext":false,"cited_by_count":108,"citation_normalized_percentile":{"value":0.94869802,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"88","last_page":"92"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11911","display_name":"Spatial and Panel Data Analysis","score":1.0,"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":1.0,"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/T11830","display_name":"Point processes and geometric inequalities","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T14051","display_name":"Regional Economic and Spatial Analysis","score":0.0,"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/frame-invariance","display_name":"frame invariance","score":0.8939999938011169},{"id":"https://openalex.org/keywords/spatial-aggregation","display_name":"spatial aggregation","score":0.9200000166893005},{"id":"https://openalex.org/keywords/areal-units","display_name":"areal units","score":0.9359999895095825},{"id":"https://openalex.org/keywords/space-partitioning","display_name":"spatial partitioning","score":0.8270000219345093},{"id":"https://openalex.org/keywords/spatial-filtering","display_name":"spatial filtering","score":0.5809999704360962},{"id":"https://openalex.org/keywords/cross-spectral-analysis","display_name":"cross-spectral analysis","score":0.8050000071525574},{"id":"https://openalex.org/keywords/spatial-resolution","display_name":"spatial resolution","score":0.6179999709129333},{"id":"https://openalex.org/keywords/geospatial-analysis","display_name":"geospatial analysis","score":0.6389999985694885}],"concepts":[{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.5397198796272278},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4238268733024597},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.32542091608047485},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.038978397846221924}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1201/b12612-22","doi":"https://doi.org/10.1201/b12612-22","is_oa":false,"landing_page_url":"https://doi.org/10.1201/b12612-22","pdf_url":null,"source":{"id":"https://openalex.org/S4306463075","display_name":"CRC Press eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310320584","host_organization_name":"CRC Press","host_organization_lineage":["https://openalex.org/P4310320584","https://openalex.org/P4310320547"],"host_organization_lineage_names":["CRC Press","Taylor & Francis"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Accuracy Of Spatial Databases","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1561658029","https://openalex.org/W1564220589","https://openalex.org/W2021563159","https://openalex.org/W2030861104","https://openalex.org/W2134066908","https://openalex.org/W2315190686","https://openalex.org/W2802956702","https://openalex.org/W3111630834"],"related_works":["https://openalex.org/W2020714577","https://openalex.org/W2836524907","https://openalex.org/W1547370284","https://openalex.org/W993974572","https://openalex.org/W2351595110","https://openalex.org/W646377739","https://openalex.org/W2399710937","https://openalex.org/W2377052260","https://openalex.org/W3168172513","https://openalex.org/W2616230226"],"abstract_inverted_index":{"The":[0],"results":[1,16,49,143],"of":[2,5,56,73,81,95,130,133,150,159,167],"an":[3],"analysis":[4,42,82,161],"geographical":[6],"data":[7,33],"should":[8,17,22],"not":[9,45],"depend":[10],"on":[11],"the":[12,31,47,96,131,165],"spatial":[13,32,67,109,124,135,151,160,172],"coordinates":[14],"used\u00d0the":[15],"be":[18,64,116,145,162,179],"frame":[19,88],"independent.":[20],"This":[21],"also":[23,121],"apply":[24],"when":[25],"areal":[26,52],"units":[27],"are":[28,78],"used":[29,60],"as":[30,108],"collection":[34],"entity.":[35],"Previous":[36],"work":[37],"has":[38],"shown":[39],"that":[40,138,156,175],"some":[41,55,79],"procedures":[43],"do":[44,84],"yield":[46,87],"same":[48],"under":[50,92,170],"alternate":[51,93],"aggregations,":[53],"but":[54],"these":[57],"studies":[58],"have":[59],"measures":[61],"known":[62],"to":[63,86,105],"inappropriate":[65],"for":[66,164],"data,":[68],"e.g.,":[69],"Pearsonian":[70],"correlation":[71],"instead":[72],"cross-spectral":[74],"analysis.":[75],"And":[76],"there":[77],"methods":[80,158,178],"which":[83,114,126,181],"seem":[85],"invariant":[89],"results,":[90],"especially":[91],"partitionings":[94],"geographic":[97],"space.":[98],"In":[99],"other":[100],"cases":[101],"it":[102],"is":[103,154],"appropriate":[104],"consider":[106],"aggregations":[107],"filters,":[110],"with":[111],"response":[112],"functions":[113],"can":[115,144],"estimated":[117],"a":[118,134],"priori.":[119],"There":[120],"exist":[122],"linear":[123],"models":[125],"allow":[127],"exact":[128],"calculation":[129],"effects":[132],"aggregation,":[136],"so":[137],"consistent":[139],"empirical":[140],"and":[141,174],"theoretical":[142],"obtained":[146],"at":[147],"all":[148,157],"levels":[149],"resolution.":[152],"It":[153],"proposed":[155],"examined":[163],"invariance":[166],"their":[168],"conclusions":[169],"alternative":[171],"partitionings,":[173],"only":[176],"those":[177],"allowed":[180],"show":[182],"such":[183],"invariance.":[184]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2016-06-24T00:00:00"}