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Related Concept Videos

Orders of Magnitude01:15

Orders of Magnitude

The order of magnitude of a number is the power of 10 that most closely approximates it. Thus, the order of magnitude estimates the scale (or size) of its value. To find the order of magnitude of a number, take the base-10 logarithm of the number and round it to the nearest integer. Then the order of magnitude of the number is simply the resulting power of 10.
The order of magnitude is simply a way of rounding numbers consistently to the nearest power of 10. This makes doing rough mental math...
Geoid and Ellipsoid01:28

Geoid and Ellipsoid

The Earth's shape is best described as an ellipsoid, a slightly flattened sphere created by rotating an ellipse around its minor axis. This flattening results in the polar axis being about 21 kilometers shorter than the equatorial axis. In contrast, the geoid represents the Earth's gravitational shape and aligns with the mean sea level (MSL). The geoid is an irregular equipotential surface where gravity is perpendicular at every point. Variations in Earth's mass distribution cause geoid...
Mohr's Circle for Plane Strain01:18

Mohr's Circle for Plane Strain

Mohr's circle is a crucial graphical method used to analyze plane strain by plotting strain on a set of cartesian coordinates, where the abscissa is normal strain ∈ and the ordinate is shear strain γ. Similarly to Mohr’s circle for plane stress, two points X and Y are plotted. Their coordinates are (∈x, -γXY) and (∈Y, γXY), respectively.
Mohr's circle visually represents the strain states under various conditions, which is essential for understanding material behavior. The center of Mohr's...
Elasticity in Concrete01:20

Elasticity in Concrete

Upon subjecting concrete to moderate or high uniaxial compressive or tensile stresses, the strain response is non-linear relative to the stress applied. As the stress is removed, the resulting stress-strain curve deviates from the original path traced during loading, creating a hysteresis loop, indicative of the concrete's non-linear and non-elastic properties. Typically, a material's modulus of elasticity, which is a measure of the material's stiffness, is inferred from the linear portion of...
Strain and Elastic Modulus01:15

Strain and Elastic Modulus

The quantity that describes the deformation of a body under stress is known as strain. Strain is given as a fractional change in either length, volume, or geometry under tensile, volume (also known as bulk), or shear stress, respectively, and is a dimensionless quantity. The strain experienced by a body under tensile or compressive stress is called tensile or compressive strain, respectively. In contrast, the strain experienced under bulk stress and shear stress is known as volume and shear...
Random Error01:04

Random Error

Random or indeterminate errors originate from various uncontrollable variables, such as variations in environmental conditions, instrument imperfections, or the inherent variability of the phenomena being measured. Usually, these errors cannot be predicted, estimated, or characterized because their direction and magnitude often vary in magnitude and direction even during consecutive measurements. As a result, they are difficult to eliminate. However, the aggregate effect of these errors can be...

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Related Experiment Video

Updated: Jun 3, 2026

Kinematic History of a Salient-recess Junction Explored through a Combined Approach of Field Data and Analog Sandbox Modeling
06:55

Kinematic History of a Salient-recess Junction Explored through a Combined Approach of Field Data and Analog Sandbox Modeling

Published on: August 5, 2016

Are earthquake magnitudes clustered?

Jörn Davidsen1, Adam Green

  • 1Complexity Science Group, Department of Physics and Astronomy, University of Calgary, Calgary, Alberta T2N 1N4, Canada. davidsen@phas.ucalgary.ca

Physical Review Letters
|April 8, 2011
PubMed
Summary

Earthquake magnitude correlations may not indicate predictability. We show that observed clustering in earthquake magnitudes is likely an artifact of incomplete data and the modified Omori law, not true dependence.

Area of Science:

  • Seismology
  • Earthquake science
  • Statistical seismology

Background:

  • Earthquake predictability remains a significant challenge in seismology.
  • Recent studies suggested earthquake magnitudes are clustered, implying dependence rather than independence.
  • This challenges the conventional assumption of independent earthquake events.

Purpose of the Study:

  • To investigate the nature of observed earthquake magnitude correlations.
  • To determine if magnitude clustering reflects true earthquake dependence or is an artifact.
  • To re-evaluate assumptions about earthquake event independence.

Main Methods:

  • Analysis of earthquake catalog completeness.
  • Application of the modified Omori law to aftershock sequences.

Related Experiment Videos

Last Updated: Jun 3, 2026

Kinematic History of a Salient-recess Junction Explored through a Combined Approach of Field Data and Analog Sandbox Modeling
06:55

Kinematic History of a Salient-recess Junction Explored through a Combined Approach of Field Data and Analog Sandbox Modeling

Published on: August 5, 2016

  • Statistical examination of frequency-magnitude distributions under specific constraints.

    • Main Results:

    • Observed earthquake magnitude correlations are largely, if not entirely, artifacts.
    • Catalog incompleteness significantly influences perceived magnitude clustering.
    • The modified Omori law can create apparent variations in frequency-magnitude distributions.

    Conclusions:

    • The apparent clustering of earthquake magnitudes does not necessarily imply predictability.
    • Incompleteness of earthquake catalogs is a critical factor in interpreting seismic data.
    • The modified Omori law can explain observed patterns without invoking true event dependence.