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Here we develop new methodology for simultaneous model selection and parameter estimation via penalized maximum likelihood under a spatial adaptive lasso. A computationally efficient algorithm is devised for obtaining approximate penalized maximum likelihood estimates. Asymptotic properties of penalized maximum likelihood estimates and their approximations are established. A simulation study shows that the method proposed has sound finite sample properties and, for illustration, we analyse an ecological data set in western Canada.<\/jats:p>","DOI":"10.1111\/j.1467-9868.2010.00739.x","type":"journal-article","created":{"date-parts":[[2010,5,23]],"date-time":"2010-05-23T10:00:06Z","timestamp":1274608806000},"page":"389-402","source":"Crossref","is-referenced-by-count":47,"title":["On Selection of Spatial Linear Models for Lattice Data"],"prefix":"10.1093","volume":"72","author":[{"given":"Jun","family":"Zhu","sequence":"first","affiliation":[{"name":"Colorado State University , Fort Collins"},{"name":"University of Wisconsin , Madison , USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hsin-Cheng","family":"Huang","sequence":"additional","affiliation":[{"name":"Academia Sinica , Taipei"},{"name":"National Chiao Tung University , Hsinchu , Taiwan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Perla E.","family":"Reyes","sequence":"additional","affiliation":[{"name":"University of Wisconsin , Madison , USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"286","published-online":{"date-parts":[[2010,5,20]]},"reference":[{"key":"2023031309551974400_","doi-asserted-by":"crossref","first-page":"348","DOI":"10.1111\/j.0906-7590.2007.05453.x","article-title":"Movement of outbreak populations of mountain pine beetle: influences of spatiotemporal patterns and climate","volume":"31","author":"Aukema","year":"2008","journal-title":"Ecography"},{"key":"2023031309551974400_","doi-asserted-by":"crossref","first-page":"192","DOI":"10.1111\/j.2517-6161.1974.tb00999.x","article-title":"Spatial interaction and the statistical analysis of lattice systems (with discussion)","volume":"36","author":"Besag","year":"1974","journal-title":"J. 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