Tornado Intensity Index

By Paul Homewood

 

 

Is the intensity of tornadoes increasing in the United States, (or, for that matter, falling)? It’s a perennial question.

NOAA gives us some clues, with their charts of EF-1+ and EF-3 to EF-5 tornadoes since 1954. (NOAA ignore EF-0’s, because many more of these weak tornadoes get to be reported nowadays than in the past because of Doppler radar, better reporting practices, increasing population etc – for the background on this, see here.)

 

EF1-EF5-t

EF3-EF5-t

http://www.ncdc.noaa.gov/climate-information/extreme-events/us-tornado-climatology/trends

 

[ The original Fujita grading system, using “F” numbers, was replaced in 2007 by the Enhanced Fujita scale, hence “EF” numbers. The new system was designed to ensure compatibility with the original Fujita scale-  see here. All references to either Fujita or Enhanced Fujita should be regarded as interchangeable]

 

But these graphs tell us little about the distribution within the totals. For instance, could there be more EF-4’s relative to EF-3’s?

For tropical storms and hurricanes, there is the measure of Accumulated Cyclone Energy, or ACE, which is calculated by summing the squares of wind speeds for each storm, over 6-hourly intervals.

There is a similar method, called the Power Dissipation Index, or PDI, which, instead of squaring wind speeds, cubes them.

It should therefore be possible to use similar methodology with tornadoes.

 

Let’s start by looking at the estimated wind speeds, assumed under the EF system.

 

image

http://www.spc.noaa.gov/efscale/ef-scale.html

 

And if we take the mid range speeds, then square and cube them,we get:

 

EF Number mph Squared
/10,000
Cubed
/1,000,000
0 75 0.56 0.42
1 97 0.94 0.91
2 123 1.51 1.86
3 152 2.31 3.51
4 183 3.35 6.13
5 230 5.29 12.17

N.B There is no maximum speed for EF-5 tornadoes, it is unlimited. I have therefore made an assumption of a mid range of 230 mph for this exercise.

 

Although both methods of squaring and cubing are valid, I personally feel that the cubing method gives a better fit. Nevertheless, I show the results of both calculations below.

 

 

 

As mentioned above, EF-0 tornadoes should be excluded, as improved tornado observation practices can create a misleading appearance of an increasing trend in tornado frequency.

There is also a great deal of evidence that the same applies to EF-1 tornadoes. As Figure 1 illustrates, there was a marked increase in the percentage of EF-1’s to total numbers between 1953 and 1990, since when the proportion has levelled off.

This is clear evidence that many such tornadoes occurred, but were never reported in earlier decades.

Therefore, the analysis that follows will ignore both EF-0’s and EF-1’s.

 

image

Figure 1

 

Using the data provided by NOAA’s Storm Prediction Center, I have taken the annual tornado numbers by EF category, and applied the wind speed factors, as shown in the Table above. The totals for each category are added together for each year, to give the result in the indices shown below.

 

 

image

image

 

Whichever method is used, there is a clearly declining trend in intensity.

 

UPDATE

Following requests to show the chart including the weaker EF-1 tornadoes, I have posted this up at my blog below.

 

http://notalotofpeopleknowthat.wordpress.com/2014/08/25/tornado-intensity-index-update/

 

Sources

The number of tornadoes by category for each year are available from the Storm Prediction Center.

http://www.spc.noaa.gov/wcm/annualtornadomaps/

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beng
August 25, 2014 6:08 am

Hasn’t been hardly any tornado activity this year past June or so.
Not sure I like the new text format — had to up the text size.

Bill_W
August 25, 2014 6:15 am

I like the new format but will take awhile to get used to. Obviously the Kochs gave Anthony another billion dollars to upgrade the webpage. 🙂

August 25, 2014 6:18 am

Tornado History Project
http://www.tornadohistoryproject.com/

August 25, 2014 6:33 am

Here’s what I get from data I find at the Tornado History Project link using Excel’s Slope Function:
Category         Trend Line Slope 1950-2014
Three               -0.20
Four                 -0.09
Five                 -0.02
Combined -0.32

August 25, 2014 6:43 am

My post went into the moderation bin. Here it is in plain text:
From data I find at the tornado project link I find that using Excel’s slope function, the trend line slope for tornado categories from 1950 to 2014 are as follows: Category Three -0.20 Category Four -0.09 Category Five -0.02 Combined -0.32

August 25, 2014 6:47 am

Looks like the moderation algorithm doesn’t like negative numbers. Well anyway, data from the Tornado Project link says all the trend line slopes are negative for tornado categories three four and five since 1950.

August 25, 2014 6:47 am

I give up

ralfellis
August 25, 2014 6:51 am

Nine year periodicity?
R

Chris4692
August 25, 2014 7:00 am

An interesting set of numbers and approach. By this test the tornado intensity appears to have gone down. However, that could be because of a step change that appears to have happened between 1970 and 1980. The trend should be checked before and after that change. Offhand, the trend after 1980 appears rather flat rather than decreasing or increasing.
The article doesn’t say, but it appears that ordinary least squares was used to determine the trend. That is easy and quick in excel, but because it can be seriously affected by anomalous events, it’s use in the analysis of trends for extreme events is questionable. A better method would be a non-parametric test such as Kendal’s Tau.

ddpalmer
August 25, 2014 7:03 am

Although I agree with the reasoning behind not using the EF-0 and EF-1 tornadoes, I would havebenn interested in seeing the graphs with them included.
And as an aside. Why is the plural of ‘tornado’ ‘tornadoes’ rather than ‘tornados’?

Rob
August 25, 2014 7:22 am

ddpalmer
I agree with your point about the missng EF0 and EF1 – although there is a good rationale for deleting them, it makes it look like the data has been selected to give the required response.
Overall, I am not too convinced by ACE or measures to try and put a quantitative measure on what is – historically – a qualitative measure. It might be nice going forwards as we do have the ability to measure these storms in a quantitative manner, but I am always worried by the “above normal” ACE which NOAA quotes each year in spite of the low actual numbers of hurricanes. Their “normals” are based on a completely different data set.
Until someone does a “Leif” and reconciles the older records with new measures of detection and calibration, comparisons should not be made to older data sets.
[In English, words ending in ‘o’ take ‘es’ to make the plural. c.f a certain Vice President struggling with potatoes….]

DAV
August 25, 2014 7:28 am

Just eyeballing the graph, it looks more like the decline has been since 1975. Maybe warmer climate has less heat differential available for tornado formation?
An aside: because the wind speed cannot go below zero, attempting a fit with OTS software as is will lead to erroneous results.
@ddpalmer
Either is correct.

August 25, 2014 7:32 am

Arctic warming driven by strengthening solar cycles, and a positive PDO and AMO, would be a first guess at mechanism for decreasing intensity. Now that AMO is negative and the incipient cycle 24-25 minimum, will a cooling Arctic lead the tornado power trend to an upward slope 2005-2035???

LeeHarvey
August 25, 2014 7:37 am

I second Rob’s point – the analysis should have been run as it was, but also with the inclusion of the EF-0 and EF-1 events.
Make all the analytical points you want, but lay all your cards on the table. Otherwise, you look like an alarmist.

LeeHarvey
August 25, 2014 7:37 am

Oops… didn’t mean to slight ddpalmer.

LogosWrench
August 25, 2014 8:06 am

What this post didn’t tell you is that the really intense tornadoes are as we speak at depth in the Atlantic just waiting for all of us to drop our guard. So actually tornado frequency is increasing.

August 25, 2014 8:27 am

Please correct the image links, delete ‘s’ from https . WordPress does not support SSL.
REPLY: No, sorry, that’s not possible, and you’re wrong about that. https works just fine. Whatever problem you may be having is on your end – Anthony

Jimmy
August 25, 2014 8:48 am

“Although both methods of squaring and cubing are valid, I personally feel that the cubing method gives a better fit”
Could you explain why you feel that cubing is better? What is it a “better fit” to? As is, it sounds kind of arbitrary that you would choose the 3rd power.
Also, eyeballing the graphs, there looks like more of a step change in the late 70s than a steady decline over the entire period. Could there have been a change in how the tornadoes were evaluated around that time?

Chris4692
August 25, 2014 9:02 am

Jimmy
August 25, 2014 at 8:48 am

Also, eyeballing the graphs, there looks like more of a step change in the late 70s than a steady decline over the entire period. Could there have been a change in how the tornadoes were evaluated around that time?

I have noticed a similar step change in the precipitation and drought data for Iowa at that time. That may indicate it’s more likely a climate effect of some sort rather than a change in the evaluation of tornadoes.

August 25, 2014 9:03 am

By eyeball, there is a case to be made for a slight uptrend, from 1953 to ca 1975, and then a clear downtrend. Suggests more tornadoes with cooling, fewer with warming??

August 25, 2014 9:04 am

how about plotting tornado occurrence and intensity vs the temperature changes in the area of tornado occurrence.

August 25, 2014 9:18 am

Removing EF1s is a good idea. People WANT to see a tornado (except in Tornado alley of course) when there is wind damage. Something to do with “being there”. So many are reported today whereas in the past it was just a nasty storm.
Interesting article as well.

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