Geostatistics

Course specifications​​​​​​​

Duration: 4 hours
​​​​​​​Number of sessions: 2 sessions (two hours per session)
Class Schedule: Saturday & Sunday​​​​​​​
How to participate in the class: Classes will be held online.
Course tuition: The course fee is 150 USD. There is no charge for pre-registration. The course tuition is charged upon final registration.
Programming language: MATLAB programming language is used in this course.
Instructor: Dr. Mahdi Shadabfar

If you have any queries regarding this course, please visit our "Contact Us" page.

When the variable governing the problem under study has spatial variations, the desired properties of the variable change by moving away from a point. In other words, points close to one another are more similar, and points distant from one another behave relatively independently. This spatial correlation has led to the development of a science known as geostatistics, which, of course, is not limited to the earth sciences and covers any discipline in which spatial variability is a concern.
This training course is prepared in two sessions. In the first session, a problem with spatial variables is described. Then the spatial data of the example is presented and imported into the MATLAB environment. In the following, the distance matrix and the lag distance criterion are introduced and their calculations are explained step-by-step. The concept of cloud variogram is then introduced and implemented in the MATLAB environment. In addition, various types of variogram estimators, including spherical, exponential, and linear models, are described and calculated. In the second session, the Kriging method is discussed as one of the most well-known methods in spatial statistics. For this purpose, first the required subject theories, such as weighted average of neighborhood points and Lagrange optimization, are explained, and then the formulation of the Kriging method is explained. The matrix form of the equations is then extracted and implemented as an example in the MATLAB environment. Moreover, the Kriging interpolation error is explored using the variance criterion and is plotted as an error contour alongside the Kriging prediction.
This course is beneficial for all students and researchers who work with spatial statistical models and explains the fundamentals of the required programming techniques and procedures in a straightforward way.​​​​​​​

Course description

Course content

Session 1: Variography​​​​​​​

1.1. Importing the data to MATLAB
2.1. Calculating the distance matrix
3.1. Determining the lag distance
4.1. Experimental variogram calculation
5.1. Cloud variogram
​​​​​​​6.1. Development of the variogram estimator
     1.6.1. Spherical model
     2.6.1. Exponential model
     3.6.1. Linear model

Session 2: Kriging method​​​​​​​

1.2. Weighted average method of neighborhood points
2.2. Expected error
3.2. Kriging variance
4.2. Lagrange optimization
5.2. Kriging interpolation
6.2. Development the matrix form of equations
7.2. Modeling in MATLAB
​​​​​​​8.2. Assessing the accuracy of interpolation with variance contour

Pre-registration deadline

Pre-registration is currently available, and you can access the pre-registration link at the bottom of this page.

Pre-registration

By enrolling in this course, you will not only gain familiarity with essential tools in geostatistical modeling, including variography and kriging, but also acquire the necessary skills to conduct research in this field. Pre-registration for this course is now open. To enroll, please register your details using the following link. Once the class has met the required number of participants, you will receive an email notification to pay the tuition fee and complete your registration. The date, time, and link for attending the lessons, along with other important details, will be communicated to you via email.

Pre-registration

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