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; WinBUGS; spatstat; Stem; Matrix; CARBayes; JAGS; gstat; laGP; FRK; spam; lgcp; gamair; pyuvdata; ggplot2; nimble; CHOLMOD Cited in: 38 Publications 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 87 Authors 9 Rue, Håvard 4 Illian, Janine B. 4 Lindgren, Finn 2 Bakka, Haakon C. 2 Castro-Camilo, Daniela 2 Datta, Abhirup 2 Finley, Andrew O. 2 Gómez-Rubio, Virgilio 2 Krainski, Elias T. 2 Lenzi, Amanda 2 Micheas, Athanasios Christou 2 Shaddick, Gavin 2 Simpson, Daniel Peter 2 Sørbye, Sigrunn Holbek 2 van Niekerk, Janet 1 Aanes, Fredrik Lohne 1 Aas, Kjersti 1 Altieri, Leonardo 1 Andersen, Hans-Erik 1 Banerjee, Sudipto 1 Bilancia, Massimo 1 Bivand, Roger S. 1 Blangiardo, Marta 1 Borrajo, M. I. 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 Ferkingstad, Egil 1 Froyn, Sindre 1 Furrer, Reinhard 1 Genton, Marc G. 1 Gerber, Florian 1 Gneiting, Tilmann 1 González-Manteiga, Wenceslao 1 Gramacy, Robert B. 1 Greco, Fedele 1 Grilli, Leonardo 1 Guhaniyogi, Rajarshi 1 Guinness, Joseph 1 Hammerling, Dorit 1 Heaton, Matthew J. 1 Hefley, Trevor J. 1 Held, Leonhard 1 Hendrichsen, Ditte K. 1 Hindberg, Kristian 1 Höhle, Michael 1 Hooten, Mevin B. 1 Innocenti, Francesco 1 Jayaratne, Rohan 1 Katzfuss, Matthias 1 Kim, Hyotae 1 King, Ruth 1 King, Stuart E. 1 Kottas, Athanasios 1 Lawson, Andrew B. 1 Mangion, Andrew Zammit 1 Manitz, Juliane 1 Martínez Miranda, María Dolores 1 Martins, Thiago G. 1 McLean, Mathew W. 1 Mengersen, Kerrie L. 1 Mhalla, Linda 1 Morawska, Lidia 1 Morton, Douglas C. 1 Nightingale, Glenna F. 1 Nychka, Douglas W. 1 Olsen, Lena Ringstad 1 Opitz, Thomas 1 Ormerod, John T. 1 Piacek, Daniel 1 Ravishanker, Nalini 1 Ruiz-Cárdenas, Ramiro 1 Sahu, Sujit K. 1 Schrödle, Birgit 1 Scott, E. Marian 1 Serhiyenko, Volodymyr 1 Sun, Furong 1 Venkatesan, Rajkumar 1 Wahl, Jens Christian 1 Wand, Matthew P. 1 Williamson, Daniel B. 1 Yue, Yu Ryan 1 Zidek, James Victor all top 5 Cited in 22 Serials 7 Computational Statistics and Data Analysis 3 The Annals of Applied Statistics 2 Computational Statistics 2 Journal of Statistical Computation and Simulation 2 Statistical Modelling 2 Journal of Agricultural, Biological, and Environmental Statistics 2 Bayesian Analysis 1 Biometrical Journal 1 Test 1 Journal of Applied Statistics 1 Extremes 1 Scandinavian Actuarial Journal 1 REVSTAT 1 Statistical Methods and Applications 1 AStA. Advances in Statistical Analysis 1 Electronic Journal of Statistics 1 Journal of Computational and Graphical Statistics 1 Statistics and Computing 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 all top 5 Cited in 8 Fields 37 Statistics (62-XX) 7 Probability theory and stochastic processes (60-XX) 6 Numerical analysis (65-XX) 3 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