Decomposition of variance for spatial Cox processes

Abdollah Jalilian, Yongtao Guan, Rasmus Waagepetersen

Publikation: Bog/antologi/afhandling/rapportRapportForskning

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Resumé

Spatial Cox point processes is a natural framework for quantifying the various
sources of variation governing the spatial distribution of rain forest trees. We introducea general criterion for variance decomposition for spatial Cox processes and apply it to specific Cox process models with additive or log linear random intensity functions. We moreover consider a new and flexible class of pair correlation function models given in terms of Mat´ern covariance functions. The proposed methodology is applied to point pattern data sets of locations of tropical rain forest trees.
OriginalsprogEngelsk
ForlagDepartment of Mathematical Sciences, Aalborg University
Antal sider18
StatusUdgivet - feb. 2011
NavnResearch Report Series
NummerR-2011-05
ISSN1399-2503

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decomposition
spatial distribution
methodology
rain forest
additive
tropical rain forest

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    Jalilian, A., Guan, Y., & Waagepetersen, R. (2011). Decomposition of variance for spatial Cox processes. Department of Mathematical Sciences, Aalborg University. Research Report Series, Nr. R-2011-05
    Jalilian, Abdollah ; Guan, Yongtao ; Waagepetersen, Rasmus. / Decomposition of variance for spatial Cox processes. Department of Mathematical Sciences, Aalborg University, 2011. 18 s. (Research Report Series; Nr. R-2011-05).
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    title = "Decomposition of variance for spatial Cox processes",
    abstract = "Spatial Cox point processes is a natural framework for quantifying the various sources of variation governing the spatial distribution of rain forest trees. We introducea general criterion for variance decomposition for spatial Cox processes and apply it to specific Cox process models with additive or log linear random intensity functions. We moreover consider a new and flexible class of pair correlation function models given in terms of Mat´ern covariance functions. The proposed methodology is applied to point pattern data sets of locations of tropical rain forest trees.",
    keywords = "additive random intensity, composite likelihood, Cox process, Mat{\'e}rn covariance function, pair correlation function, variance component",
    author = "Abdollah Jalilian and Yongtao Guan and Rasmus Waagepetersen",
    year = "2011",
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    language = "English",
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    Jalilian, A, Guan, Y & Waagepetersen, R 2011, Decomposition of variance for spatial Cox processes. Research Report Series, nr. R-2011-05, Department of Mathematical Sciences, Aalborg University.

    Decomposition of variance for spatial Cox processes. / Jalilian, Abdollah; Guan, Yongtao; Waagepetersen, Rasmus.

    Department of Mathematical Sciences, Aalborg University, 2011. 18 s.

    Publikation: Bog/antologi/afhandling/rapportRapportForskning

    TY - RPRT

    T1 - Decomposition of variance for spatial Cox processes

    AU - Jalilian, Abdollah

    AU - Guan, Yongtao

    AU - Waagepetersen, Rasmus

    PY - 2011/2

    Y1 - 2011/2

    N2 - Spatial Cox point processes is a natural framework for quantifying the various sources of variation governing the spatial distribution of rain forest trees. We introducea general criterion for variance decomposition for spatial Cox processes and apply it to specific Cox process models with additive or log linear random intensity functions. We moreover consider a new and flexible class of pair correlation function models given in terms of Mat´ern covariance functions. The proposed methodology is applied to point pattern data sets of locations of tropical rain forest trees.

    AB - Spatial Cox point processes is a natural framework for quantifying the various sources of variation governing the spatial distribution of rain forest trees. We introducea general criterion for variance decomposition for spatial Cox processes and apply it to specific Cox process models with additive or log linear random intensity functions. We moreover consider a new and flexible class of pair correlation function models given in terms of Mat´ern covariance functions. The proposed methodology is applied to point pattern data sets of locations of tropical rain forest trees.

    KW - additive random intensity

    KW - composite likelihood

    KW - Cox process

    KW - Matérn covariance function

    KW - pair correlation function

    KW - variance component

    M3 - Report

    BT - Decomposition of variance for spatial Cox processes

    PB - Department of Mathematical Sciences, Aalborg University

    ER -

    Jalilian A, Guan Y, Waagepetersen R. Decomposition of variance for spatial Cox processes. Department of Mathematical Sciences, Aalborg University, 2011. 18 s. (Research Report Series; Nr. R-2011-05).