Temporal GIS, Softcover reprint of the original 1st ed. 2001
Advanced Functions for Field-Based Applications

The book focuses on the development of advanced functions for field-based Temporal Geographical Information Systems (TGIS). These fields describe natural, epidemiological, economic, and social phenomena distributed across space and time. The book is organized around 4 main themes: concepts, mathematical tools, computer programs, and applications.
The reader is also familiarized with the TGIS toolbox of advanced functions and the associated library of comprehensive computer programs, BMElib.

1 A BME View to the New Realities of TGIS.- 1.1 Introducing a Temporal Geographical Information System (TGIS).- 1.1.1 Purposefulness, Content, and Context.- 1.1.2 Synthesis, Organization, and Visualization.- 1.1.3 Action-Oriented.- 1.2 Field-Based TGIS.- 1.3 TGIS Functions.- 1.4 Novel Contribution to TGIS.- 1.4.1 BME-Based Advanced Functions.- 1.4.2 Stochastic Modelling.- 1.4.3 BMEIib Software.- 1.4.4 Epistemic Viewpoint.- 1.4.5 Scientific Hypothesis Testing and Explanation.- 1.4.6 Revisionistic Paradigm.- 1.5 Concluding Remarks.- 2 Spatiotemporal Modelling.- 2.1 Spatiotemporal Continuum.- 2.2 The Random Field Model.- 2.3 The Role of Metaphors in TGIS.- 2.4 The Importance of Physical Geometry.- 2.5 Synopsis.- 3 Knowledge Bases Integration.- 3.1 Integrating Knowledge Bases (KB) into TGIS.- 3.2 General KB and the Associated Physical Constraints.- 3.2.1 Space/Time Correlation Functions Between Two or More Points (Multiple-Point Statistics).- 3.2.2 Physical Models.- 3.3 Specificatory KB.- 3.3.1 Hard and Soft Data.- 3.3.2 The Effect of Soft Data on The Calculation of the Space/Time Correlation Functions.- 3.4 Accommodating Knowledge Needs.- 3.4.1 Knowledge Classification.- 3.4.2 Model Building and Reality Check.- 4 Spatiotemporal Mapping.- 4.1 A Formulation of the Spatiotemporal Mapping Problem.- 4.2 Formal BME Analysis and Mapping.- 4.2.1 The Basic BME Procedure.- 4.2.2 The Advantage of Composite Space/Time Mapping.- 4.2.3 Continuous-Valued Map Reconstruction.- 4.2.4 Modifications of the BME Procedure.- 4.2.5 Spatiotemporal Filtering.- 4.2.6 Spatiotemporal Mapping and Change-of-Scale Procedures.- 4.3 Other Mapping Techniques.- 4.3.1 Wiener-Kolmogorov Stochastic Interpolation.- 4.3.2 Geostatistical Kriging.- 4.3.3 Kalman-Bucy Filtering.- 4.3.4 Some Comparisons.- 4.4 Concluding Remarks.- 5 Interpretive BME.- 5.1 Interpretive Issues.- 5.2 An Epistemic Analysis of the BME Approach.- 5.3 Non-Bayesian Conditionalization.- 5.3.1 Material Biconditionalization.- 5.3.2 Material Conditionalization.- 5.4 By Way of a Summary.- 6 The BME Toolbox In Action.- 6.1 The Fundamental KB Operators.- 6.2 Step-by-Step BME.- 6.2.1 The Formal Representation.- 6.2.2 The Diagrammatic Representation.- 6.3 Analytic and Synthetic Case-Studies.- 6.3.1 Some Commonly Encountered Situations.- 6.3.2 Spatiotemporal Filtering.- 6.3.3 Exogenous Information.- 6.3.4 Physical Laws.- 6.3.5 Using Soft Data to Improve TGIS Mapping.- 6.3.6 Non-Bayesian Analysis.- 6.4 Quantifying the Mapping Efficiency of Soft Data.- 6.5 Numerical Investigations of Popular Techniques.- 6.5.1 The Use and Misuse of Soft Data by Statistical Regression-Based Techniques.- 6.5.2 The Inadequacy of Indicator Kriging.- 6.6 Merging Maps with BME.- 6.7 Synopsis.- 7 The BME Computer Library.- 7.1 Computational BME Analysis and the BMEIib.- 7.2 Getting Started.- 7.2.1 Notational Convenience.- 7.2.2 Getting Started with MatLab.- 7.2.3 Getting Started with BMEIib.- 7.3 The iolib Directory.- 7.3.1 The readGeoEAS.m and writeGeoEAS.m Functions.- 7.3.2 The readProba.m and writeProba.m Functions.- 7.3.3 The readBMEproba.m and writeBMEproba.m Functions.- 7.4 The graphlib Directory.- 7.4.1 The scatterplot.m function.- 7.4.2 The colorplot.m function.- 7.4.3 The marketplot.m function.- 7.4.4 The valplot.m function.- 7.4.5 A tutorial Use of the graphlib Directory.- 7.5 The modelslib Directory.- 7.5.1 The *C.m and *V.m Functions.- 7.5.2 The modelplot.m Function.- 7.5.3 A Tutorial Use of the modelslib Directory.- 7.6 The statlib Directory.- 7.6.1 The kerneldensity.m Function.- 7.6.2 The pdf2cdfm Function.- 7.6.3 The covario.m Function.- 7.6.4 The crosscovario.m Function.- 7.6.5 The crosscovarioST.m Function.- 7.6.6 A Tutorial Use of the statlib Directory.- 7.7 The bmeprobalib Directory.- 7.7.1 The proba*.m Function.- 7.7.2 The BMEprobaMoments.m Function.- 7.7.3 The BMEprobaMode.m Function.- 7.7.4 The BMEprobaPdfm Function.- 7.7.5 The BMEprobaCI.m Function.- 7.7.6 The BMEprobaTMode.m, BMEprobaTPdfm and BMEprobaTCI.m Functions.- 7.7.7 Working With Files.- 7.7.8 A Tutorial Use of the bmeprobalib Directory.- 7.8 The bmeintlib Directory.- 7.8.1 The BMEintervalMode.m Function.- 7.8.2 The BMEintervalPdf.m Function.- 7.8.3 The BMEintervalTMode.m Function.- 7.8.4 The BMEintervalTPdfm Function.- 7.8.5 A Tutorial Use of the bmeintlib Directory.- 7.9 The bmehrlib Directory.- 7.9.1 The kriging.m Function.- 7.9.2 The krigingfilter.m Function.- 7.9.3 A Tutorial Use of the bmehrlib Directory.- 7.10 Simulations.- 7.10.1 The simuchol.m Function.- 7.10.2 The simuseq.m Function.- 7.10.3 A Tutorial Use of the simulib Directory.- 7.11 The genlib Directory.- 7.11.1 The aniso2iso.m Function.- 7.11.2 The iso2aniso.m Function.- 7.11.3 The coord2dist.m Function.- 7.11.4 The coord2K.m Function.- 7.11.5 The kernelsmoothing.m Function.- 7.11.6 A Tutorial Use of the genlib Directory.- 7.12 The mvnlib Directory.- 7.12.1 The mvnlibcompile.m Function.- 7.12.2 Testing the mvnlib Directory.- 7.13 BMEIib Tutorials, Examples, and Tests.- 7.13.1 The tutorlib Directory.- 7.13.2 The exlib Directory.- 7.13.3 The testslib Directory.- 8 Scientific Hypothesis Testing, Explanation, and Decision Making.- 8.1 On Scientific Methodology.- 8.2 Hypothesis Testing.- 8.3 Scientific Explanation.- 8.4 Geographotemporal Decision Making.- 8.5 Prelude.- References.