§16§In this volume experts present the latest status of mathematical and statistical methods in use for the analysis and modeling of plant disease epidemics. Topics treated are - methods in multivariate analyses, ordination and classification, - modeling of temporal and spatial aspects of air- and soilborne diseases, - methods to analyse and describe competition among subpopulations, e.g. pathogen races and - their interaction with resistance genes of host plants - assemblage and use of models - mathematical simulation of epidemics. New chapters on the modeling of the spreading of diseases in air and in soil are included in this second edition. §04§I Epidemics, Their Mathematical Analysis and Modeling: An Introduction.- 1. Concepts and Scope of Epidemiology.- 2. Mathematics in Epidemiology.- 3. Models and Their Role in Epidemiology.- 4. Mathematical Analysis of Epidemics.- 5. Models as Synoptics Tools.- 6. Outlook.- 7. References.- II Mathematics and Statistics for Analysis in Epidemiology.- 1. Introduction.- 2. Experimentation in Epidemiology.- 3. Common Mathematical Analyses.- 4. Multivariate Analyses.- 5. Other Mathematical Methods.- 6. Concluding Remarks.- References.- III Mathematical Analysis and Modeling of Spatial Aspects of Plant Disease Epidemics.- 1. Introduction.- 2. Populations Changing in Space.- 3. Population Models of Spatial Change.- 4. Spatial and Temporal Spread of Disease.- References.- IV Mathematical Modeling and Analysis of Soilborne Pathogens.- 1. Introduction.- 2. Conceptual Models for Subterranean Epidemics.- 3. Analysis of Subterranean Epidemics.- References.- V Multiple Regression Analysis in the §04§Epidemiology of Plant Diseases.- 1. Introduction.- 2. The Nature of Multiple Regression Analysis in Epidemiology.- 3. The Execution of Multiple Regression Analysis.- 4. The Interpretation of Relationships Exposed by Multiple Regression Analysis.- 5. The Applications of Multiple Regression Analysis in Epidemiology.- 6. Conclusions: The Place of Multiple Regression in CurrentApproaches to Epidemic Analysis.- References.- VI Nonlinear Disease Progress Curves.- 1. Introduction.- 2. Linear and Nonlinear Models.- 3. Models of Disease Progression.- 4. Model Selection and Parameter Estimation.- 5. Model Extensions.- 6. Discussion.- References.- VII Assembling and Using Models of Epidemics.- 1. Introduction.- 2. The Classes of Models.- 3. Accuracy of Models.- 4. Summaries by Regression Equations.- 5. Analytic Equations.- 6. Simulators of Disease.- 7. Dispersal.- 8. Models of Crops and Pests.- References.
