Earthquake occurrence short- and long-term models and their validation / Rodolfo Console, Maura Murru, Giuseppe Falcone.

Author/creator Console, Rodolfo, 1944
Other author Murru, Maura.
Other author Falcone, Giuseppe (Geophysicist).
Format Electronic
Publication InfoLondon, UK : ISTE, Ltd. ; Hoboken, NJ : Wiley, 2017.
Descriptionxxi, 138 pages : charts ; 25 cm
Supplemental ContentFull text available from Ebook Central - Academic Complete
Subjects

SeriesMathematics and statistics series (ISTE). Statistical methods for earthquakes set ; volume 1
Mathematics and statistics series (ISTE). Statistical methods for earthquakes set ; v. 1.
Contents Foreword -- Preface -- Introduction -- Chapter 1. Siesmicity and earthquake catalogues described as point processes -- 1.1. The Gutenberg-Richter law -- 1.2. The time-independent Poisson model -- 1.3. Occurrence rate density as a space-time continuous variable -- 1.4. Time-independent spatial distribution -- 1.5. Clustered seismicity -- 1.6. Epidemic models -- Chapter 2. The likelihood of a hypothesis -- 2.1. The Bayes theorem -- 2.2. Likelihood function -- 2.3. Alternative formulations -- 2.4. Likelihood ratio -- Chapter 3. The likelihood for a model of continuous rate density distribution -- 3.1. The limit case of regions of infinitesimal dimensions -- 3.2. The case of discrete regions -- 3.3. The case of time independence -- 3.4. The likelihood of an epidemic model in a 4-D space of parameters -- Chapter 4. Forecast verification procedures -- 4.1. Scoring procedures -- 4.2. The binary diagrams -- 4.2.1. The ROC diagrams -- 4.2.2. Molchan's error diagram -- 4.2.3. Probability gain -- 4.2.4. R-score -- 4.3. Statistical tests implemented within CSEP -- 4.3.1. Number test or N-test -- 4.3.2. Data-consistency test or L-test -- 4.3.3. S(pace)-test or S-test -- 4.3.4. M(agnitude)-test or M-test -- Chapter 5. Applications of epidemic models -- 5.1. Declustering a catalogue through an epidemic model -- 5.2. Earthquake forecasting -- 5.3. Seismic hazard maps for short-term forecast -- Chapter 6. Long-term earthquake occurrence models -- 6.1. The empirical Gutenberg-Richter law and the time-independent model under the Poisson hypothesis -- 6.2. Statistics of inter-event times -- 6.3. The truncated magnitude distribution -- 6.4. Earthquake rate assessment under a renewal time-dependent model -- 6.4.1. Exponential distribution (under the time-dependent hypothesis) -- 6.4.2. Log-normal distribution -- 6.4.3. Gamma distribution -- 6.4.4. Weibull distribution -- 6.4.5. Double-exponential distribution -- 6.4.6. BPT distribution -- 6.5. Validation and comparison of renewal time-dependent models -- 6.5.1. The likelihood ratio -- 6.5.2. Long-term earthquake records -- 6.5.3. Application of a Monte Carlo procedure -- 6.5.4. Concluding remarks -- 6.6. The Cornell method for time-dependent seismic hazard assessment -- 6.7. Acknowledgments -- Chapter 7. Computer programs and examples of their use -- 7.1. PDE2REC, ZMAP2REC -- 7.2. REC2PDE -- 7.3. SMOOTH -- 7.4. LIKELAQP -- 7.5. LIKSTAQP -- 7.6. BPT -- Bibliography -- Index.
Abstract "'Earthquake Occurrence' provides the reader with a review of algorithms applicable for modeling seismicity, such as short-term earthquake clustering and pseudo-periodic long-term behavior of major earthquakes. The concept of the likelihood ratio of a set of observations under different hypotheses is applied for comparison among various models. In short-term models, known by the term ETAS, the occurrence space and time rate density of earthquakes is modeled as the sum of two terms, one representing the independent or spontaneous events, and the other representing the activity triggered by previous earthquakes. Examples of the application of such algorithms in real cases are also reported. Dealing with long-term recurrence models, renewal time-dependent models, implying a pseudo-periodicity of earthquake occurrence, are compared with the simple time-independent Poisson model, in which every event occurs regardless of what has occurred in the past. The book also introduces a number of computer codes developed by the authors over decades of seismological research"--Back cover
Bibliography noteIncludes bibliographical references (pages 121-135) and index.
Access restrictionAvailable only to authorized users.
Technical detailsMode of access: World Wide Web
Issued in other formEbook version : 9781119372226
Genre/formElectronic books.
LCCN 2017937771
ISBN9781786301246 (hardback)
ISBN1786301245 (hardback)
ISBN(ePub ebook)
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