Spatial statistics of random closed sets for earth observations

Kassel Hingee

Research output: ThesisDoctoral Thesis

10 Downloads (Pure)

Abstract

Spatial binary coverage maps, which are images with binary-valued pixels, can represent the pattern of presence and absence of vegetation and other substances. This thesis applies statistical theory for random sets to lacunarity indices, box-counting fractal dimension estimators and other quantitative descriptions of binary coverage maps that are popular in landscape ecology. The application potential of the well-known gliding box lacunarity index is greatly expanded by new estimators
that tolerate irregularly-shaped spatial domains. Further benefits include associations between quantitative descriptions, statistically-efficient estimators, and estimators of estimator variance. Hazard rate models for inference of random sets are also investigated.
Original languageEnglish
QualificationDoctor of Philosophy
Awarding Institution
  • The University of Western Australia
Thesis sponsors
Award date26 Sep 2019
DOIs
Publication statusUnpublished - 2019

Fingerprint

gliding
landscape ecology
pixel
hazard
vegetation
index
statistics
thesis
rate

Cite this

@phdthesis{020d62b8a6994485abde8c40151cb179,
title = "Spatial statistics of random closed sets for earth observations",
abstract = "Spatial binary coverage maps, which are images with binary-valued pixels, can represent the pattern of presence and absence of vegetation and other substances. This thesis applies statistical theory for random sets to lacunarity indices, box-counting fractal dimension estimators and other quantitative descriptions of binary coverage maps that are popular in landscape ecology. The application potential of the well-known gliding box lacunarity index is greatly expanded by new estimators that tolerate irregularly-shaped spatial domains. Further benefits include associations between quantitative descriptions, statistically-efficient estimators, and estimators of estimator variance. Hazard rate models for inference of random sets are also investigated.",
keywords = "binary coverage map, gliding box lacunarity, Image analysis, Landscape ecology, Spatial statistics, Covariance, Random set, box-counting fractal dimension",
author = "Kassel Hingee",
year = "2019",
doi = "10.26182/5dbb81b6480f9",
language = "English",
school = "The University of Western Australia",

}

Hingee, K 2019, 'Spatial statistics of random closed sets for earth observations', Doctor of Philosophy, The University of Western Australia. https://doi.org/10.26182/5dbb81b6480f9

Spatial statistics of random closed sets for earth observations. / Hingee, Kassel.

2019.

Research output: ThesisDoctoral Thesis

TY - THES

T1 - Spatial statistics of random closed sets for earth observations

AU - Hingee, Kassel

PY - 2019

Y1 - 2019

N2 - Spatial binary coverage maps, which are images with binary-valued pixels, can represent the pattern of presence and absence of vegetation and other substances. This thesis applies statistical theory for random sets to lacunarity indices, box-counting fractal dimension estimators and other quantitative descriptions of binary coverage maps that are popular in landscape ecology. The application potential of the well-known gliding box lacunarity index is greatly expanded by new estimators that tolerate irregularly-shaped spatial domains. Further benefits include associations between quantitative descriptions, statistically-efficient estimators, and estimators of estimator variance. Hazard rate models for inference of random sets are also investigated.

AB - Spatial binary coverage maps, which are images with binary-valued pixels, can represent the pattern of presence and absence of vegetation and other substances. This thesis applies statistical theory for random sets to lacunarity indices, box-counting fractal dimension estimators and other quantitative descriptions of binary coverage maps that are popular in landscape ecology. The application potential of the well-known gliding box lacunarity index is greatly expanded by new estimators that tolerate irregularly-shaped spatial domains. Further benefits include associations between quantitative descriptions, statistically-efficient estimators, and estimators of estimator variance. Hazard rate models for inference of random sets are also investigated.

KW - binary coverage map

KW - gliding box lacunarity

KW - Image analysis

KW - Landscape ecology

KW - Spatial statistics

KW - Covariance

KW - Random set

KW - box-counting fractal dimension

U2 - 10.26182/5dbb81b6480f9

DO - 10.26182/5dbb81b6480f9

M3 - Doctoral Thesis

ER -