2007
DOI: 10.1016/j.foreco.2007.07.020
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Characterizing spatial–temporal tree mortality patterns associated with a new forest disease

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Cited by 45 publications
(50 citation statements)
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“…As a preliminary visual exploration of the forest pattern suggested the existence of first-order effects (i.e. the intensity of the pattern is not constant over the study site), we used the inhomogeneous K function (Baddeley et al, 2000;Liu et al, 2007;Wiegand et al, 2007). We estimated the intensity function λ(x, y) (i. e. the spatially varying intensity) parametrically, using the maximum pseudolikelihood algorithm of Baddeley and Turner (2005).…”
Section: P2mentioning
confidence: 99%
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“…As a preliminary visual exploration of the forest pattern suggested the existence of first-order effects (i.e. the intensity of the pattern is not constant over the study site), we used the inhomogeneous K function (Baddeley et al, 2000;Liu et al, 2007;Wiegand et al, 2007). We estimated the intensity function λ(x, y) (i. e. the spatially varying intensity) parametrically, using the maximum pseudolikelihood algorithm of Baddeley and Turner (2005).…”
Section: P2mentioning
confidence: 99%
“…For each species, we fitted heterogeneous Poisson models with the intensity function estimated as a log-linear function of second order polynomials of spatial coordinates x and y (Baddeley and Turner, 2006;De la Cruz, 2006;Liu et al 2007). This results in a nonstationary intensity function that accounts for the underlying spatial trend of each species, allowing the inhomogeneous K function to correctly estimate second order spatial dependencies.…”
Section: P2mentioning
confidence: 99%
“…Dixon 2002), but differs from the standard presentation of distance-based metrics of spatial interaction over a range of scales in a single graph (e.g. Liu et al 2007). Such graphs implicitly place the focus on a single pairwise relation, while tabular results emphasize the complete set of pairwise relations but restrict focus to a single scale of analysis.…”
Section: Discussionmentioning
confidence: 99%
“…Although the expectation can sometimes be calculated analytically, this is not always the case and in practice Monte Carlo simulation is typically used to determine the sampling distribution (e.g. Liu et al 2007). Three common null models for determining expected association patterns are complete spatial randomness (CSR), population independence (PI) and random labeling (RL).…”
Section: Null Modelsmentioning
confidence: 99%
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