SPATIAL DEPENDENCE OF RANDOM SETS AND ITS APPLICATION TO DISPERSION OF BARK BEETLE INFESTATION IN A NATURAL FOREST
A large spatio-temporal data set monitoring the annual progress of bark beetle infestation in the Bavarian Forest National Park (Germany) is statistically analysed by means of complex image analysis algorithms. The infestation data were obtained by color-infrared (CIR) aerial image interpretation an...
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Slovenian Society for Stereology and Quantitative Image Analysis
2011-11-01
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doaj-c58a708c4ab1495e8aa27e2a3b6cf1682020-11-24T22:57:31ZengSlovenian Society for Stereology and Quantitative Image AnalysisImage Analysis and Stereology1580-31391854-51652011-11-0130312313110.5566/ias.v30.p123-131856SPATIAL DEPENDENCE OF RANDOM SETS AND ITS APPLICATION TO DISPERSION OF BARK BEETLE INFESTATION IN A NATURAL FORESTMarkus KautzJochen DüllJoachim OhserA large spatio-temporal data set monitoring the annual progress of bark beetle infestation in the Bavarian Forest National Park (Germany) is statistically analysed by means of complex image analysis algorithms. The infestation data were obtained by color-infrared (CIR) aerial image interpretation and cover 10 subsequent years (2001–2010). Newly emerged infestation patches are hypothesized as spatially correlated to locations of previous year’s infestation. Both areas, source patches and subsequently emerged patches, are considered as two disjoint random sets. Their spatio-temporal dependence is analysed by two methods: the classical approach based on the measurement of cross-covariance functions, and a second one based on nearest neighbor distances. The resulting characteristics can be interpreted as pre-disposition probabilities of bark beetle infestation depending on distance to sources. Both methods show a strong short-range preference, which decreases with increasing distances.<br />http://www.ias-iss.org/ojs/IAS/article/view/904cross-covariance functionecological dataIps typographuspre-dispositionimage analysisEuclidean distance transformFast Fourier transform |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Markus Kautz Jochen Düll Joachim Ohser |
spellingShingle |
Markus Kautz Jochen Düll Joachim Ohser SPATIAL DEPENDENCE OF RANDOM SETS AND ITS APPLICATION TO DISPERSION OF BARK BEETLE INFESTATION IN A NATURAL FOREST Image Analysis and Stereology cross-covariance function ecological data Ips typographus pre-disposition image analysis Euclidean distance transform Fast Fourier transform |
author_facet |
Markus Kautz Jochen Düll Joachim Ohser |
author_sort |
Markus Kautz |
title |
SPATIAL DEPENDENCE OF RANDOM SETS AND ITS APPLICATION TO DISPERSION OF BARK BEETLE INFESTATION IN A NATURAL FOREST |
title_short |
SPATIAL DEPENDENCE OF RANDOM SETS AND ITS APPLICATION TO DISPERSION OF BARK BEETLE INFESTATION IN A NATURAL FOREST |
title_full |
SPATIAL DEPENDENCE OF RANDOM SETS AND ITS APPLICATION TO DISPERSION OF BARK BEETLE INFESTATION IN A NATURAL FOREST |
title_fullStr |
SPATIAL DEPENDENCE OF RANDOM SETS AND ITS APPLICATION TO DISPERSION OF BARK BEETLE INFESTATION IN A NATURAL FOREST |
title_full_unstemmed |
SPATIAL DEPENDENCE OF RANDOM SETS AND ITS APPLICATION TO DISPERSION OF BARK BEETLE INFESTATION IN A NATURAL FOREST |
title_sort |
spatial dependence of random sets and its application to dispersion of bark beetle infestation in a natural forest |
publisher |
Slovenian Society for Stereology and Quantitative Image Analysis |
series |
Image Analysis and Stereology |
issn |
1580-3139 1854-5165 |
publishDate |
2011-11-01 |
description |
A large spatio-temporal data set monitoring the annual progress of bark beetle infestation in the Bavarian Forest National Park (Germany) is statistically analysed by means of complex image analysis algorithms. The infestation data were obtained by color-infrared (CIR) aerial image interpretation and cover 10 subsequent years (2001–2010). Newly emerged infestation patches are hypothesized as spatially correlated to locations of previous year’s infestation. Both areas, source patches and subsequently emerged patches, are considered as two disjoint random sets. Their spatio-temporal dependence is analysed by two methods: the classical approach based on the measurement of cross-covariance functions, and a second one based on nearest neighbor distances. The resulting characteristics can be interpreted as pre-disposition probabilities of bark beetle infestation depending on distance to sources. Both methods show a strong short-range preference, which decreases with increasing distances.<br /> |
topic |
cross-covariance function ecological data Ips typographus pre-disposition image analysis Euclidean distance transform Fast Fourier transform |
url |
http://www.ias-iss.org/ojs/IAS/article/view/904 |
work_keys_str_mv |
AT markuskautz spatialdependenceofrandomsetsanditsapplicationtodispersionofbarkbeetleinfestationinanaturalforest AT jochendull spatialdependenceofrandomsetsanditsapplicationtodispersionofbarkbeetleinfestationinanaturalforest AT joachimohser spatialdependenceofrandomsetsanditsapplicationtodispersionofbarkbeetleinfestationinanaturalforest |
_version_ |
1725650458088833024 |