I probably should have blogged about this long ago, but you now, it is hard to stay on top of the blog and keep working on all various books that I keep signing contracts for.
Anyhow, we started getting hits on this blog from this article:Â Urban Operations in Ukraine: Size, Ratios, and the Principles of War – Modern War Institute (usma.edu)
They specifically say:
“A military axiom is that an attacking force should outnumber defenders at the tactical level of war by a ratio of 3:1 to have a reasonable chance for success. Some analysts, including those responsible for US Army doctrine, believe a ratio as high as 6:1 is sometimes necessary to achieve success in urban operations because of the increased strength of the defense on urban terrain. Regardless of the actual requirements, force ratios are relevant for urban planners.”
This link to us is in reference to the 6:1 figure, and leads to blog post: U.S. Army Force Ratios | Mystics & Statistics (dupuyinstitute.org)
Now, I do not know why they would use that link. I clearly am disputing the army doctrine figures with my charts from page 10 and 210 of War by Numbers:
European Theater of Operations (ETO) Data, 1944
Â
Force Ratio                      Result                         Percent Failure  Number of cases
0.55 to 1.01-to-1.00           Attack Fails                         100%                    5
1.15 to 1.88-to-1.00           Attack usually succeeds      21%                  48
1.95 to 2.56-to-1.00           Attack usually succeeds       10%                  21
2.71-to-1.00 and higher     Attacker Advances                 0%                 42
Â
Force Ratio…………Cases……Terrain…….Result
1.18 to 1.29 to 1        4            Nonurban  Defender penetrated
1.51 to 1.64             3             Nonurban  Defender penetrated
2.01 to 2.64             2            Nonurban  Defender penetrated
3.03 to 4.28             2            Nonurban  Defender penetrated
4.16 to 4.78             2            Urban         Defender penetrated
6.98 to 8.20             2             Nonurban  Defender penetrated
6.46 to 11.96 to 1     2            Urban         Defender penetrated
Â
Now, my specific discussion on this is part of a three-page section on pages 209-211 called The Effect of Urban Terrain on Outcome. To quote from part of it:
The lack of any failed urban attacks is due to the favorable force ratios. The lowest force ratio of an urban attack is 1.72 to 1, and only four attacks are less than 2.00 to 1. Of the nine nonurban attacks between 1.71 and 2.00 to 1, only three failed. No attacks, urban or nonurban, executed with above 2.56 to 1 failed. There were a total of ten urban attacks made between 2.00 to 1 and 2.56 to 1 and nine nonurban attacks made in the same range. Two of the nonurban attacks in these cases failed.
This it appears that force ratios are a major factor in determining outcome. It does not appear that the difference between urban and nonurban terrain significantly influenced this result, nor can a difference be seen between rugged terrain and nonrugged terrain. Also the difference between rolling and mixed, rugged and mixed, or rugged and wooded terrain does not seem to have significantly influenced the outcomes. If a difference in the effect between rolling terrain and rugged terrain cannot be demonstrated, then the difference in effect between urban and nonurban terrain is also likely to be of the same order of effect, or less. However, the difference in terrain could affect combat power, and the difference caused by this effect could be 20 to 30 percent without it showing up in this analysis. Such small differences cannot be conclusively demonstrated given the small number of cases and the considerable variation found in this data.
Table 16.4. Summation of Force Ratios Compared to Outcomes, ETO
Force Ratio                     Result
0.55 to 1.01 to 1.00Â Â Â Â Â Â Â Â Â Â Â Â Â Â Attack fails
1.15 to 2.56 to 1.00Â Â Â Â Â Â Â Â Â Â Â Â Â Â Attack may succeed
2.71 to 1.00 and higher           Attack Advances
Â
It is in the “attack may succeed” area where we may detect some differences caused by terrain effects. In the range of 1.15 to 2.56 to 1.00 we also found the statistics in table 16.5. For the urban versus nonurban cases, we found the statistics in table 16.6.
Table 16.5 Outcomes for attacks from 1.15 to 2.56 to 1.00
Cases      Attack Fails       Attack Advances       Defender Penetrated
55Â Â Â Â Â Â Â Â Â Â 12 (21.82%)Â Â Â Â Â Â Â 35 (63.64%)Â Â Â Â Â Â Â Â Â Â Â Â 8 (14.55%)
Â
Table 16.6. Outcomes Based upon Terrain
         Cases       Attack Fails     Attack Advances   Defender Penetrated
Urban    14           0             14               0
Rolling    25           6 (24.00%)     17               2
Rugged    30          6 (20.00%)     18               6
Little can be concluded from this data, which appear to support a null hypothesis. That is, the terrain (be it urban vs. nonurban or rolling vs. rugged) has no significantly measurable included on the outcome of the battle.
Now, this is all kind of carefully worded to make sure I do not step beyond my data. Let me try to simplify this in three simple points:
- Urban terrain does not favor the defender more so than other terrain (rolling or rugged). In fact, it appears less.Â
- Needless to say, the statement in the Modern War Institute article that “…ratio of 3:1 to have a reasonable chance of success” has little meaningful value. The attacker can be seen succeeding almost 80% of the time at ratios between 1.15 to 2.56 to 1. They reference the blog post that establishes this in their article.
- The statement that “ratio as high as 6:1 is sometimes necessary to achieve success in urban operations because of the increased strength of the defense on urban terrain” is simply out there. We did three studies on urban warfare, using more cases than anyone else has done. While we did not establish what was the defensive value of urban terrain, it clearly was not massive.Â
I think the 3:1 rule of thumb is often misunderstood. Many people compare the entire force, when in reality a side with even an overall advantage of 1:1.5 has a big advantage. This is because that extra .5 can be concentrated in a narrow sector to generate a local superiority far above 3:1 and perhaps leading to a breakthrough.
T.N. Dupuy gave urban defense a 1.4 modifier (multiplied by 1.3 to 1.6 for defense posture).
I did think about posting the QJM figures, but really did not want to make this a discussion about the QJM.
C.A.L: “I do not know why they would use that link. I clearly am disputing the army doctrine figures with my charts from page 10 and 210 of War by Numbers…”
-Ah. You’re one of those primitive thinkers who believes that a citation should actually support an assertion.
Sigh. 😉
VR,
JDG
Yea… I am primitive. Somewhat amused at them using a reference than disagrees with what they are saying. I think part of the problem is that my writing is not always clear and concise… because … the subject is not aways clear and concise.
I wrote my master’s thesis on how historians do a crappy job of using sources. They probably found someone (i.e. you) who referenced attacker vs. defender ratios in urban defense, then cited it so they could show a citation. They then congratulated themselves on having check-marked that block.
This is our actual blog post he used: https://dupuyinstitute.dreamhosters.com/2018/04/25/u-s-army-force-ratios/
It is from the post of his article that says “Some analysts, including those responsible for US Army doctrine, believe a ratio as high as 6:1 is sometimes necessary to achieve success in urban operations….”
Now, what you don’t see in the referenced post is 1) any reference to 6:1 and 2) any reference to urban terrain.
and… we are not responsible for army doctrine (and have rarely been consulted on this).
The whole thing is kind of bizarre, as our posting clearly contradicts what he is saying.
Is your master’s thesis worth posting to the blog. This is also not the first time I found a problem with an author’s footnotes.
Uh. I’m not sure I’d want to inflict that on the public. 😉
I went of a few examples from throughout history in my intro’, but the main examples are all from the First Battle of Fort Donelson. I go through the evidence in what one of my advisors described as “tedious” detail. Yeah, he was right, but my point was that it takes some work. Anyway, the most typical case is when historians regurgitate a “fact” from a secondary source without ever bothering to check a primary source to see if it checks out, or if it even makes sense. C.W.C Oman was a common violator. Of course, he didn’t have the resources to check things that we do.
FWIW, it’s already on the net: https://aspire.apsu.edu/handle/20.500.11989/12102
[…] 14 terrain types in the table. I just included the three that were discussed in the previous post: The Defensive Value of Urban Terrain | Mystics & Statistics (dupuyinstitute.org). As can be seen, there is not a lot of difference between Rolling-mixed to Urban to Rugged-Mixed. […]