A Transdimensional Map of Australian Moho

Earthquake of the WeekThomas Bodin 28 Oct 2011

The Moho

Different Types of Measures

• Reflection• Refraction (no point measures along lines)• Broadband Receiver Functions• High Frequency Receiver Functions• Tomography• Historical seismicity• Gravity

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

A Transdimensional Ensemble Solution

A Probabilistic Formulation

Moho Depth

P(M

oho

Dep

th |

data

)

Expected valuesAverage Map

Map of Sdt Deviation

Different Ways to Look at the Solution

Average Map

Different Ways to Look at the Solution

Arithmetic Mean

Harmonic Mean

Median

Maximum

Inferred levels of Data Uncertainties

Skewness(3rd Order Moment)

Kurtosis (4th order moment)

Log(Kurtosis)

Map of correlation between one pixel and all the other pixels

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

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

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

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

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

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

Limits of Non-linear Bayesian Inference.