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A Transdimensional Map of Australian Moho Earthquake of the Week Thomas Bodin 28 Oct 2011

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The Moho

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Different Types of Measures Reflection Refraction (no point measures along lines) Broadband Receiver Functions High Frequency Receiver Functions Tomography Historical seismicity Gravity

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AusMoho Different issues 1.Levels of noise ? 2. Irregular distribution of data 3. Moho depth varibility is variable 4. Sharp discontinuities may be have been smoothed Surface fitting with Splines

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A Transdimensional Ensemble Solution

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A Probabilistic Formulation Moho Depth P(Moho Depth |data)

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Expected values Average MapMap of Sdt Deviation

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Different Ways to Look at the Solution Average Map

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Different Ways to Look at the Solution Arithmetic Mean Harmonic Mean Median Maximum

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Inferred levels of Data Uncertainties

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Skewness (3 rd Order Moment)

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Kurtosis (4 th order moment) Log(Kurtosis)

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Map of correlation between one pixel and all the other pixels

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Limits of Non-linear Bayesian Inference. Example with weather forecast

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Limits of Non-linear Bayesian Inference.