Series introduction |
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vii | (2) |
Foreword |
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ix | (4) |
Preface |
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xiii | (2) |
Glossary |
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xv | (2) |
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xvii | |
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1 | (8) |
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1.1 Error sources in GIS data |
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4 | (1) |
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1.2 The propagation of errors through GIS operations |
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5 | (1) |
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1.3 Objectives of this study |
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5 | (4) |
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2 Definition and identification of an error model for quantitative spatial attributes |
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9 | (16) |
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2.1 A first look at quantitative errors |
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9 | (1) |
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2.2 Definition of the error model |
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10 | (3) |
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2.3 Identification of the error model |
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13 | (7) |
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2.3.1 Three models of spatial variation |
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14 | (2) |
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2.3.2 Error identification under the three models of spatial variation |
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16 | (4) |
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2.4 Multivariate extension |
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20 | (2) |
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2.5 Change of support issues |
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22 | (3) |
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3 Identification of the error model: a case study |
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25 | (8) |
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3.1 Mapping the mean highest water table in the Ooypolder |
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25 | (4) |
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3.2 Comparison of mapping results for the three models of spatial variation |
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29 | (2) |
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3.3 Discussion and implications for error propagation analysis |
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31 | (2) |
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4 Error propagation with local GIS operations: theory |
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33 | (18) |
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4.1 Error propagation with point operations |
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34 | (2) |
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4.2 Four techniques of error propagation |
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36 | (9) |
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4.2.1 First order Taylor method |
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36 | (2) |
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4.2.2 Second order Taylor method |
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38 | (1) |
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4.2.3 Rosenblueth's method |
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39 | (1) |
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40 | (2) |
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4.2.5 Evaluation and comparison of the four error propagation techniques |
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42 | (3) |
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4.3 Error propagation with neighbourhood operations |
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45 | (1) |
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4.4 Sources of error contributions |
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46 | (5) |
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5 Error propagation with local GIS operations: applications |
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51 | (26) |
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5.1 Predicted lead consumption in the Geul river valley |
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51 | (5) |
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5.2 Slope and aspect of the Balazuc digital elevation model |
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56 | (4) |
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5.3 Predicting soil moisture content with linear regression for the Allier floodplain soils |
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60 | (7) |
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5.4 Selection of suitable soils in the Lacombe agricultural research station using Boolean and continuous classification |
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67 | (10) |
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6 Error propagation with global GIS operations: the use of multidimensional simulation |
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77 | (12) |
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6.1 Monte Carlo method for global operations |
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78 | (1) |
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6.2 Stochastic simulation of the input random field |
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78 | (2) |
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6.3 An iterative method for simulating autoregressive random fields |
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80 | (4) |
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6.4 Numerical experiments with iterative autoregressive simulation |
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84 | (5) |
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7 Implementation of error propagation techniques in GIS |
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89 | (8) |
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7.1 Starting points for adding error propagation functionality to an existing GIS |
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89 | (1) |
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7.2 The ADAM error propagation software tool |
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90 | (3) |
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7.3 Running the Allier case study with ADAM |
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93 | (4) |
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8 Summary and conclusions |
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97 | (12) |
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8.1 Summary of research results: the list of nine research questions |
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97 | (6) |
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8.2 Summary of research results: additional results |
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103 | (2) |
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8.3 Towards a full grown error handling capability of GIS |
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105 | (4) |
References |
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109 | (12) |
Author index |
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121 | (4) |
Subject index |
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125 | |