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Hierarchical log Gaussian Cox process for regeneration in uneven-aged forests
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- Kuronen, M. (author)
- Naturresursinstitutet (Luke),Natural Resources Institute Finland (Luke)
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- Särkkä, Aila, 1962 (author)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,Chalmers tekniska högskola,Chalmers University of Technology
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- Vihola, M. (author)
- Jyväskylän Yliopisto,University of Jyväskylä
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- (creator_code:org_t)
- 2021-08-20
- 2022
- English.
- In: Environmental and Ecological Statistics. - : Springer Science and Business Media LLC. - 1352-8505 .- 1573-3009. ; 29:1, s. 185-205
- Journal article (peer-reviewed)
Abstract
Subject headings
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- We propose a hierarchical log Gaussian Cox process (LGCP) for point patterns, where a set of points x affects another set of points y but not vice versa. We use the model to investigate the effect of large trees on the locations of seedlings. In the model, every point in x has a parametric influence kernel or signal, which together form an influence field. Conditionally on the parameters, the influence field acts as a spatial covariate in the intensity of the model, and the intensity itself is a non-linear function of the parameters. Points outside the observationwindowmay affect the influence field inside the window. We propose an edge correction to account for this missing data. The parameters of the model are estimated in a Bayesian framework using Markov chain Monte Carlo where a Laplace approximation is used for the Gaussian field of the LGCP model. The proposed model is used to analyze the effect of large trees on the success of regeneration in uneven-aged forest stands in Finland.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
- TEKNIK OCH TEKNOLOGIER -- Maskinteknik -- Teknisk mekanik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Mechanical Engineering -- Applied Mechanics (hsv//eng)
- NATURVETENSKAP -- Data- och informationsvetenskap -- Bioinformatik (hsv//swe)
- NATURAL SCIENCES -- Computer and Information Sciences -- Bioinformatics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Probability Theory and Statistics (hsv//eng)
Keyword
- Bayesian inference
- Competition kernel
- Laplace approximation
- MCMC
- Spatial random effects
- Tree regeneration
- ecological field-theory
- spatial point patterns
- bayesian-inference
- stands
- models
- growth
- competition
- emergence
- Environmental Sciences & Ecology
- Mathematics
- Competition kernel
Publication and Content Type
- ref (subject category)
- art (subject category)
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