Lab 3 Earthquake Frequency
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Dec 6, 2023
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Geol 116, Spring 2023
Lab 3: Earthquake Recurrence and Evaluating Seismic Hazards
One of the ways that seismologists can assess the likelihood of future earthquakes is by
investigating the frequency of historical earthquakes in a region of interest. Numerous
studies have shown that the number of earthquakes in an area decreases logarithmically
with increasing earthquake magnitude. In this lab exercise you will explore the rate of
earthquake occurrence for areas of Earth that you choose. Data is accessed through the
simple interface of the IRIS Earthquake Browser. After compiling your data for various sized
earthquakes in the region, you will calculate recurrence intervals for each magnitude and
plot the data on a semi-log graph for interpretation.
Discussion of the collected data
touches on strengths and limitations of the data set, possible societal implications (e.g.
exposure, vulnerability, mitigation), as well as concepts related to earthquake prediction
and forecasting.
The Exercise
We’ll be using the
IRIS Earthquake Browser
to compile earthquake data in some region.
Your first step is to familiarize yourself with the tool. Navigate to it on your computer. You
might watch the tutorial, but if you feel brave (or don’t like to be given instructions), you
can navigate from this site directly to the app. Then we’ll use the app to compile how many
earthquakes have occurred in a region within distinct magnitude ranges.
Example of using the app.
Using the tools on the left (select new region) I outline an area
that to study. When you do this, choose a region that is neither too small (not very many
earthquakes) nor too large (too many earthquakes to plot); you’re best choosing an area
that includes a plate boundary. For this example, I randomly chose a zone across central
Africa. The information panel on the right indicates that there are 3460 earthquakes
recorded in this area and reported in the earthquake catalog; 1000 are shown.
If you click on Magnitude Range, you can (and should) limit your investigation to a range of
magnitudes of 4 and above. When I did this, I still had 3323 earthquakes.
We want to examine how the number of earthquakes in this region changes with
increasing earthquake magnitude. The easiest approach is to figure out how many
earthquakes of magnitude 4 or greater, 5 or greater, 6 or greater, etc. have occurred in the
region and divide by number of years of record (here, 1970-2022). I’ve this in the example
extra half magnitude (4+, 4.5+, 5+, etc.). I have the app tell me how many earthquakes of a
particular magnitude or larger by changing the magnitude range (e.g. 4-10, then 4.5-10, 4-
10, etc.) in the right-hand box. Inserting the data into the spreadsheet on Brightspace
yields:
# of events of
Mag or greater
Years of
Record
Number/Yr
Minimum
Magnitude
3323
53
62.70
4.0
2170
53
40.94
4.5
668
53
12.60
5.0
130
53
2.45
5.5
34
53
0.64
6.0
11
53
0.21
6.5
2
53
0.04
7.0
0
53
0
7.5
I plot the number/yr for a given magnitude or greater on a logarithmic scale against the magnitude to
obtain this graph, which is known as a Gutenberg-Richter diagram:
4.0
4.5
5.0
5.5
6.0
6.5
7.0
7.5
8.0
1.00
10.00
100.00
Magnitude
Number of Events/yr
Ideally, the decline in number of events per year (i.e. frequency) will be linear in this space (as it is
between 4 and at least 6.5 in this case) So we can estimate recurrence (1/frequency) of events either
directly from the graph or by extrapolating our best guess for a straight-line fit. Thus, to predict the
likelihood of earthquakes of M 7 or greater in this case, read off the graph (`0.04 events/yr, which
corresponds to a recurrence or repeat time of 25 years). That is, this area should experience 1 M 7 or
greater earthquake, on average, once in 25 years. By extrapolating the trend, I predict the number of
earthquakes of M 7.5 or greater to be about 0.008/yr, or a recurrence time of 125 years.
Your Mission
You will be assigned one or two partners.
Each of you chooses a different area of interest and performs the same kind of analysis to obtain the
Guternberg-Richter curve for your chosen region. You will want to pick a region that includes a plate
boundary in order to have enough earthquakes of M 4 or greater recorded in the period of record (1970-
2022). Look for a “Goldilocks” area size: not too big, not too small, just right. Limit your magnitude range
to 4 and greater.
Use the template spreadsheet, inserting the appropriate values for the region you chose. You may find
that the maximum recorded earthquake in your region is greater than M 8, and the frequency values
may be quite different than in my example, so you may have to adjust the scales on the axes, but
otherwise the template should work.
Estimate the recurrence time of a M 7.0, M 7.5, M 8.0 (if possible) earthquake for your area. Ideally you
would have the program calculate a best-fit linear line to the data, but it’s a difficult set of steps to
produce a trendline in Excel for a semi-log plot like this. So simply use a ruler to identify your best guess
of a trend line that is linear on this graph and read off or project and estimate the number of M 7.0, 7.5,
and 8.0 events for your region. If you’ve chosen an area with a particularly large historical earthquake,
you may be able to estimate the recurrence time for M 8.5 or even M 9.0. Convert to recurrence interval
(1/the value) and record those recurrence estimates on your spreadsheet.
Once you have completed this, compare your results with your partner(s)’s. Are the trends of your data
similar? In other words, do they show a similarly steep decline in frequency of occurrence with
increasing magnitude?
How similar/different are the predicted recurrence intervals for the different
areas? Now that you know something about the earthquake hazard in at least two areas, discuss with
your partner(s) the exposure and vulnerability of the population in each area. How great is the
population? Is the area wealthy enough to be able to design buildings to be earthquake-resistant? Do
moderate-sized earthquakes cause unusually large damage or death tolls?
What to Hand In
You will provide a brief written report with the following elements:
Your name and that of your partner(s)
Area that you investigated; include a screen shot of the map from the app.
Copy of the spreadsheet with your analysis and output, including a Gutenberg-Richter graph.
Estimates of recurrence intervals for earthquakes of M 7.0, 7.5, and larger if appropriate for your area
and that of your partner(s).
Summary of the discussion of exposure and vulnerability for your area and how it compares to the area
your partner(s) chose.
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