INLA swMATH ID: 7535 Software Authors: Illian, Janine B.; Sørbye, Sigrunn H.; Rue, Håvard Description: A toolbox for fitting complex spatial point process models using integrated nested Laplace approximation (INLA). This paper develops a methodology that provides a toolbox for routinely fitting complex models to realistic spatial point pattern data. We consider models that are based on log-Gaussian Cox processes and include local interaction in these by considering constructed covariates. This enables us to use integrated nested Laplace approximation and to considerably speed up the inferential task. In addition, methods for model comparison and model assessment facilitate the modelling process. The performance of the approach is assessed in a simulation study. To demonstrate the versatility of the approach, models are fitted to two rather different examples, a large rainforest data set with covariates and a point pattern with multiple marks. Homepage: http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.aoas/1356629049 Keywords: Cox processes; marked point patterns; model assessment; model comparisons Related Software: R; R-INLA; spBayes; GMRFLib; spatstat; FRK; Stem; lgcp; gamair; WinBUGS; inlabru; pyuvdata; nimble; ggplot2; spNNGP; spam; CODA; LatticeKrig; Matrix; CARBayes Cited in: 54 Documents Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year A toolbox for fitting complex spatial point process models using integrated nested Laplace approximation (INLA). Zbl 1257.62093Illian, Janine B.; Sørbye, Sigrunn H.; Rue, Håvard 2012 all top 5 Cited by 128 Authors 12 Rue, Håvard 4 Illian, Janine B. 4 Lindgren, Finn 4 van Niekerk, Janet 3 Gómez-Rubio, Virgilio 3 Krainski, Elias Teixeira 3 Micheas, Athanasios Christou 3 Opitz, Thomas 2 Bakka, Haakon C. 2 Castro-Camilo, Daniela 2 Datta, Abhirup 2 Finley, Andrew O. 2 Guhaniyogi, Rajarshi 2 Guinness, Joseph 2 Lenzi, Amanda 2 Mangion, Andrew Zammit 2 Shaddick, Gavin 2 Simpson, Daniel Peter 2 Sørbye, Sigrunn Holbek 1 Aanes, Fredrik Lohne 1 Aas, Kjersti 1 Altieri, Linda 1 Andersen, Hans-Erik 1 Banerjee, Sudipto 1 Belzile, Léo R. 1 Bilancia, Massimo 1 Bivand, Roger S. 1 Blangiardo, Marta 1 Borrajo, M. I. 1 Brooks, Wesley 1 Burslem, David F. R. P. 1 Cameletti, Michela 1 Chen, Jiaxun 1 Cocchi, Daniela 1 Cook, Bruce D. 1 Dawkins, Laura C. 1 Demarinis, Giacomo 1 Dovers, Elliot 1 Dupuy, Jean-Luc 1 Dutang, Christophe 1 Etxeberria, Jaione 1 Fattah, Esmail Abdul 1 Ferkingstad, Egil 1 Fernández-Navarro, Pablo 1 Flagg, Kenneth A. 1 Frazier, David T. 1 Froyn, Sindre 1 Furrer, Reinhard 1 Gaedke-Merzhäuser, Lisa 1 Gelsinger, Megan L. 1 Genton, Marc G. 1 Gerber, Florian 1 Gneiting, Tilmann 1 Goicoa, Tomás 1 González-Manteiga, Wenceslao 1 Gramacy, Robert B. 1 Greco, Fedele 1 Griffin, Maryclare 1 Grilli, Leonardo 1 Guan, Yawen 1 Hammerling, Dorit 1 Heaton, Matthew J. 1 Hefley, Trevor J. 1 Held, Leonhard 1 Hendrichsen, Ditte K. 1 Hindberg, Kristian 1 Hoegh, Andrew 1 Höhle, Michael 1 Hooten, Mevin B. 1 Huser, Raphaël 1 Innocenti, Francesco 1 Janalik, Radim 1 Jayaratne, Rohan 1 Katzfuss, Matthias 1 Kim, Hyotae 1 King, Ruth 1 King, Stuart E. 1 Koh, Jonathan 1 Kottas, Athanasios 1 Lawson, Andrew B. 1 Li, Cheng 1 López-Abente, Gonzalo 1 Majumder, Suman 1 Manitz, Juliane 1 Martin, Gael M. 1 Martínez Miranda, María Dolores 1 Martino, Sara 1 Martins, Thiago G. 1 Matteson, David S. 1 McLean, Mathew W. 1 Mengersen, Kerrie L. 1 Mhalla, Linda 1 Morawska, Lidia 1 Morton, Douglas C. 1 Ng, Tin Lok James 1 Nightingale, Glenna F. 1 Northrop, Paul J. 1 Nychka, Douglas W. 1 Olsen, Lena Ringstad 1 Ormerod, John T. ...and 28 more Authors all top 5 Cited in 27 Serials 7 Computational Statistics and Data Analysis 5 The Annals of Applied Statistics 3 Biometrical Journal 3 Statistics and Computing 2 Statistical Science 2 Computational Statistics 2 Journal of Statistical Computation and Simulation 2 Journal of Applied Statistics 2 Extremes 2 Statistical Modelling 2 Journal of Computational and Graphical Statistics 2 Journal of Agricultural, Biological, and Environmental Statistics 2 Bayesian Analysis 1 International Statistical Review 1 Test 1 SIAM Journal on Scientific Computing 1 Bernoulli 1 Scandinavian Actuarial Journal 1 REVSTAT 1 Statistical Methods and Applications 1 AStA. Advances in Statistical Analysis 1 Electronic Journal of Statistics 1 Chapman & Hall/CRC Texts in Statistical Science Series 1 Chapman & Hall/CRC Interdisciplinary Statistics Series 1 Chapman & Hall/CRC The R Series 1 Chapman & Hall/CRC Applied Environmental Statistics 1 Foundations of Data Science all top 5 Cited in 8 Fields 53 Statistics (62-XX) 9 Probability theory and stochastic processes (60-XX) 7 Numerical analysis (65-XX) 4 Geophysics (86-XX) 3 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Citations by Year