Mystics & Statistics

A blog on quantitative historical analysis hosted by The Dupuy Institute

Predictive Analytics

Linked here is the blog for a company that specializes in “data science & predictive analytics:” Elderresearch

It is run by Dr. John Elder, someone who I have known for more decades than I care to admit. We have not had much intersection in our respective businesses, although I did talk to him in 2007 about the use of classification trees when we were doing work on insurgencies. This work is summarized in my book America’s Modern Wars. In particular we were using them in our Task 12 report: Examining the Geographic Aspects of an Insurgency, dated 4 February 2008. We did both a logistic regression and several classification trees looking at terrain and its effects on insurgencies. I ended up getting a three page paper from John where he independently ran his own logistic regression from our data and ended up with results similar to ours. It was a useful (and free) confirmation of what we were looking at.

I generally was not happy with the results I was getting from these comparison and there was clearly some factors far more significant than terrain that was driving the results of these conflicts. This is what lead us to look at force ratios and insurgent cause. Somewhere between the first and final draft of the book, I did delete the classification trees from the book.

I gather some of Elder Research’s work is based upon classification trees. Most of his work is commercial. They do have a new blog, but with only one blog post so far in there “defense and intelligence” category. It addresses the third off-set strategy: defense-and-intelligence

 

The U.S. Army’s Stryker Conundrum

Soldiers, of the 1st Stryker Brigade Combat Team, 4th Infantry Division, tactically move a Stryker over the Mojave Desert during Decisive Action Rotation 15-10 at the National Training Center on Fort Irwin, Calif., Sept. 24, 2015. The Stryker and other ground combat vehicles are undergoing a number of upgrades, according to officials. (Photo Credit: Sgt. William Howard)

As part of an initiative to modernize the U.S. Army in the late 1990s, then-Chief of Staff General Eric Shinseki articulated a need for combat units that were more mobile and rapidly deployable than the existing heavy armor brigades. This was the genesis of the Army’s medium-weight Stryker combat vehicle and the Stryker Brigade Combat Teams (SBCTs).

Since the Stryker’s introduction in 2002, SBCTs have participated successfully in U.S. expeditionary operations in Iraq and Afghanistan, validating for many the usefulness of Shinseki’s original medium-weight armor concept. However, changes in the strategic landscape and advances in technology and operational doctrine by potential adversaries are calling the medium armor concept back into question.

Medium armor faces the same conundrum that currently confronts the U.S. Army in general: should it optimize to conduct wide area security operations (which is the most likely type of future conflict) or combined arms maneuver (the most dangerous potential future conflict), or should it continue to hedge against strategic uncertainty by fielding a balanced, general purpose force which does a tolerable job of both, as it does now?

The Problem

In the current edition of Military Review, U.S. Army Captain Matthew D. Allgeyer presents an interesting critique of the Army’s existing medium-weight armor concept. He asserts that it is “is suffering from a lack of direction and focus…” Several improvements for the Stryker have been proposed based on perceptions of evolving Russian military capabilities, namely “a modern heavy-force threat supported by aviation assets.” The problem, according to Allgeyer, is that

The SBCT community wants all the positive aspects of a light force: lower cost, a small tooth-to-tail ratio, greater operational-level speed, etc. But, it also wants the ability to confront a heavy-armored force on its own terms without having to adopt the cost, support, and deployment time required by an armored force. Since these two ideas are mutuality exclusive, we have been forced to adopt a piecemeal response to shortcomings identified during training and training center rotations.

Even if the currently proposed improvements are adopted however, Allgeyer argues that updated Strykers would only provide the U.S. with a medium weight armor capability analogous to the 1960’s era Soviet motor-rifle regiment, a doctrinal step backward.

Allgeyer identifies the SBCT’s biggest weaknesses as a lack of firepower capable of successfully engaging enemy heavy armor and the absence of an organic air defense capability. Neither of these is a problem in wide area security missions such as peacekeeping or counterinsurgency, where deployability and mobility are priority considerations. However, both shortcomings are critical disadvantages in combined arms maneuver scenarios, particularly against Russian or Russian-equipped opposing forces.

Potential Solutions

These observations are not new. A 2001 TDI study of the historical effectiveness of lighter-weight armor pointed out its vulnerability to heavy armored forces, but also its utility in stability and contingency operations. The Russians long ago addressed these issues with their Bronetransporter (BTR)-equipped motor-rifle regiments by adding organic tank battalions to them, incorporating air defense platoons in each battalion, and upgunning the BTRs with 30mm cannons and anti-tank guided missiles (ATGMs).

The U.S. Army has similar solutions available. It has already sought to add 30mm cannons and TOW-2 ATGMs to the Styker. The Mobile Protected Firepower program that will provide a company of light-weight armored vehicles with high-caliber cannons to each infantry brigade combat team could easily be expanded to add a company or battalion of such vehicles to the SBCT. No proposals exist for improving air defense capabilities, but this too could be addressed.

Allgeyer agrees with the need for these improvements, but he is dissatisfied with the Army “simply reinventing on its own the wheel Russia made a long time ago.”  His proposed “solution is a radical restructuring of thought around the Stryker concept.” He advocates ditching the term “Stryker” in favor of the more generic “medium armor” to encourage doctrinal thinking about the concept instead of the platform. Medium armor advocates should accept the need for a combined arms solution to engaging adversary heavy forces and incorporate more joint training into their mission-essential task lists. The Army should also do a better job of analyzing foreign medium armor platforms and doctrine to see what may be appropriate for U.S. adoption.

Allgeyer’s proposals are certainly worthy, but they may not add up to the radical restructuring he seeks. Even if adopted, they are not likely to change the fundamental characteristics of medium armor that make it more suitable to the wide area security mission than to combined arms maneuver. Optimizing it for one mission will invariably make it less useful for the other. Whether or not this is a wise choice is also the same question the Army must ponder with regard to its overall strategic mission.

Battle of Mosul Ends

Looks the Battle for Mosul had ended as of Sunday. A timeline is here: https://www.yahoo.com/news/iraq-battle-mosul-135450223.html

This thing took forever. The offensive started on 17 October. They entered the city on 1 November. It then took 251 days to take the city (over 8 months). This is one of the interesting challenges of urban warfare, it takes 15 days to get to the city and 251 days to take it. As we noted in our three urban warfare studies (and in two chapters in War by Numbers), operations outside of the urban area go so much faster than in the urban areas. The end result is that most urban warfare eventually turns into a giant mop-up operation.

I notice there has been a renewed interest in urban warfare, especially with discussions of fighting in mega-cities. I am not sure that everyone involved in these efforts grasp that these fights are not occurring at the point of the spearhead, but are indeed often a mop-up operation, regardless of the size of the city.

Mosul is in ruins. It is certainly one of the largest cities that ever had an extended urban fight in it. It is larger than Stalingrad.

So…does anyone have some good casualty figures for this fight?

 

P.S.: https://www.yahoo.com/news/isis-driven-mosul-leaves-behind-city-ruins-society-shattered-distrust-113951651.html

 

 

Aussie OR

Over the years I have run across a number of Australian Operations Research and Historical Analysis efforts. Overall, I have been impressed with what I have seen. Below is one of their papers written by Nigel Perry. He is not otherwise known to me. It is dated December 2011: Applications of Historical Analyses in Combat Modeling

It does address the value of Lanchester equations in force-on-force combat models, which in my mind is already a settled argument (see: Lanchester Equations Have Been Weighed). His is the latest argument that I gather reinforces this point.

The author of this paper references the work of Robert Helmbold and Dean Hartley (see page 14). He does favorably reference the work of Trevor Dupuy but does not seem to be completely aware of the extent or full nature of it (pages 14, 16, 17, 24 and 53). He does not seem to aware that the work of Helmbold and Hartley was both built from a database that was created by Trevor Dupuy’s companies HERO & DMSI. Without Dupuy, Helmbold and Hartley would not have had data to work from.

Specifically, Helmbold was using the Chase database, which was programmed by the government from the original paper version provided by Dupuy. I think it consisted of 597-599 battles (working from memory here). It also included a number of coding errors when they programmed it and did not include the battle narratives. Hartley had Oakridge National Laboratories purchase a computerized copy from Dupuy of what was now called the Land Warfare Data Base (LWDB). It consisted of 603 or 605 engagements (and did not have the coding errors but still did not include the narratives). As such, they both worked from almost the same databases.

Dr. Perrty does take a copy of Hartley’s  database and expands it to create more engagements. He says he expanded it from 750 battles (except the database we sold to Harley had 603 or 605 cases) to around 1600. It was estimated in the 1980s by Curt Johnson (Director and VP of HERO) to take three man-days to create a battle. If this estimate is valid (actually I think it is low), then to get to 1600 engagements the Australian researchers either invested something like 10 man-years of research, or relied heavily on secondary sources without any systematic research, or only partly developed each engagement (for example, only who won and lost). I suspect the latter.

Dr. Perry shows on page 25:

Data-segment……..Start…….End……Number of……Attacker…….Defender

Epoch…………………Year…….Year……..Battles………Victories……Victories

Ancient………………- 490…….1598………….63………………36……………..27

17th Century……….1600…….1692………….93………………67……………..26

18th Century……….1700…….1798………..147…………….100……………..47

Revolution…………..1792……1800…………238…………….168…………….70

Empire……………….1805……1815…………327……………..203…………..124

ACW………………….1861……1865…………143……………….75…………….68

19th Century……….1803…….1905…………126……………….81…………….45

WWI………………….1914…….1918…………129……………….83…………….46

WWII…………………1920…….1945…………233……………..165…………….68

Korea………………..1950…….1950…………..20……………….20………………0

Post WWII………….1950……..2008…………118……………….86…………….32

 

We, of course, did something very similar. We took the Land Warfare Data Base (the 605 engagement version), expanded in considerably with WWII and post-WWII data, proofed and revised a number of engagements using more primarily source data, divided it into levels of combat (army-level, division-level, battalion-level, company-level) and conducted analysis with the 1280 or so engagements we had. This was a much more powerful and better organized tool. We also looked at winner and loser, but used the 605 engagement version (as we did the analysis in 1996). An example of this, from pages 16 and 17 of my manuscript for War by Numbers shows:

Attacker Won:

 

                        Force Ratio                Force Ratio    Percent Attack Wins:

                        Greater than or         less than          Force Ratio Greater Than

                        equal to 1-to-1            1-to1                or equal to 1-to-1

1600-1699        16                              18                         47%

1700-1799        25                              16                         61%

1800-1899        47                              17                         73%

1900-1920        69                              13                         84%

1937-1945      104                                8                         93%

1967-1973        17                              17                         50%

Total               278                              89                         76%

 

Defender Won:

 

                        Force Ratio                Force Ratio    Percent Defense Wins:

                        Greater than or         less than          Force Ratio Greater Than

                        equal to 1-to-1            1-to1                or equal to 1-to-1

1600-1699           7                                6                       54%

1700-1799         11                              13                       46%

1800-1899         38                              20                       66%

1900-1920         30                              13                       70%

1937-1945         33                              10                       77%

1967-1973         11                                5                       69%

Total                130                              67                       66%

 

Anyhow, from there (pages 26-59) the report heads into an extended discussion of the analysis done by Helmbold and Hartley (which I am not that enamored with). My book heads in a different direction: War by Numbers III (Table of Contents)

 

 

Human Factors In Warfare: Defensive Posture

U.S. Army troops shelter in defensive trenches at the Battle of Anzio, Italy, 1944. [U.S. Army Center for Military History]

Like dispersion on the battlefield, Trevor Dupuy believed that fighting on the defensive derived from the effects of the human element in combat.

When men believe that their chances of survival in a combat situation become less than some value (which is probably quantifiable, and is unquestionably related to a strength ratio or a power ratio), they cannot and will not advance. They take cover so as to obtain some protection, and by so doing they redress the strength or power imbalance. A force with strength y (a strength less than opponent’s strength x) has its strength multiplied by the effect of defensive posture (let’s give it the symbol p) to a greater power value, so that power py approaches, equals, or exceeds x, the unenhanced power value of the force with the greater strength x. It was because of this that [Carl von] Clausewitz–who considered that battle outcome was the result of a mathematical equation[1]–wrote that “defense is a stronger form of fighting than attack.”[2] There is no question that he considered that defensive posture was a combat multiplier in this equation. It is obvious that the phenomenon of the strengthening effect of defensive posture is a combination of physical and human factors.

Dupuy elaborated on his understanding of Clausewitz’s comparison of the impact of the defensive and offensive posture in combat in his book Understanding War.

The statement [that the defensive is the stronger form of combat] implies a comparison of relative strength. It is essentially scalar and thus ultimately quantitative. Clausewitz did not attempt to define the scale of his comparison. However, by following his conceptual approach it is possible to establish quantities for this comparison. Depending upon the extent to which the defender has had the time and capability to prepare for defensive combat, and depending also upon such considerations as the nature of the terrain which he is able to utilize for defense, my research tells me that the comparative strength of defense to offense can range from a factor with a minimum value of about 1.3 to maximum value of more than 3.0.[3]

NOTES

[1] Dupuy believed Clausewitz articulated a fundamental law for combat theory, which Dupuy termed the “Law of Numbers.” One should bear in mind this concept of a theory of combat is something different than a fundamental law of war or warfare. Dupuy’s interpretation of Clausewitz’s work can be found in Understanding War: History and Theory of Combat (New York: Paragon House, 1987), 21-30.

[2] Carl von Clausewitz, On War, translation by Colonel James John Graham (London: N. Trübner, 1873), Book One, Chapter One, Section 17

[3] Dupuy, Understanding War, 26.

Osipov

Back in 1915, a Russian named M. Osipov published a paper in a Tsarist military journal that was Lanchester like: http://www.dtic.mil/dtic/tr/fulltext/u2/a241534.pdf

He actually tested his equations to historical data, which are presented in his paper. He ended up coming up with something similar to Lanchester equations but it did not have a square law, but got a similar effect by putting things to the 3/2nds power.

As far as we know, because of the time it was published (June-October 1915), it was not influenced or done with any awareness of work that the far more famous Frederick Lanchester had done (and Lanchester was famous for a lot more than just his modeling equations).  Lanchester first published his work in the fall of 1914 (after the Great War had already started). It is possible that Osipov was aware of it, but he does not mention Lanchester. He was probably not aware of Lanchester’s work. It appears to be the case of him independently coming up with the use of differential equations to describe combat attrition. This was also the case with Rear Admiral J. V. Chase, who wrote a classified staff paper for U.S. Navy in 1902 that was not revealed until 1972.

Osipov, after he had written his paper, may have served in World War I, which was already underway at the time it was published. Between the war, the Russian revolutions, the civil war afterwards, the subsequent repressions by Cheka and later Stalin, we do not know what happened to M. Osipov. At the time I was asked by CAA if our Russian research team knew about him. I passed the question to Col. Sverdlov and Col. Vainer and they were not aware of him. It is probably possible to chase him down, but would probably take some effort. Perhaps some industrious researcher will find out more about him.

It does not appear that Osipov had any influence on Soviet operations research or military analysis. It appears that he was ignored or forgotten. His article was re-published in the September 1988  of the Soviet Military-Historical Journal with the propaganda influenced statement that they also had their own “Lanchester.” Of course, this “Soviet Lanchester” was publishing in a Tsarist military journal, hardly a demonstration of the strength of the Soviet system.

 

Soviet OR

There was a sense among some in the Sovietology community in the late 1980s that Soviet Operations Research (OR) was particularly advanced. People had noticed the 300-man Soviet Military History Institute and the Soviet use of the quantified “Correlation of Forces and Means,” which they used in WWII and since. Trevor Dupuy referenced these in his writings. They had noticed a number of OR books by professors at their Frunze Military Academy. In particular, the book Tactical Calculations by Anatoli Vainer was being used by a number of Sovietologists in their works and presentations (including TNDA alumni Col. John Sloan). There was a concern that the Soviet Union was conducting extensive quantitative analysis of its historical operations in World War II and using this to further improve their war fighting capabilities.

This is sort of a case of trying to determine what is going on by looking at the shadows on a cave wall (Plato analogy here). In October 1993 as part of the Kursk project, we meet with our Russian research team headed by Dr. Fyodor Sverdlov (retired Colonel, Soviet WWII veteran, and former head of the Frunze Military Academy History Department). Sitting there as his right hand man was Dr. Anatoli Vainer (also a retired Colonel, a Soviet WWII veteran and a Frunze Military Academy professor).

We had a list of quantitative data that we needed for the Kursk Data Base (KDB). The database was to be used as a validation database for the Center of Army Analysis (CAA) various modeling efforts. As such, we were trying to determine for each unit for each day the unit strength, losses, equipment lists, equipment losses, ammunition levels, ammunition expenditures, fuel levels, fuel expenditures, and so forth. They were stunned. They said that they did not have models like that. We were kind of surprised at that response.

Over the course of several days I got to know these two gentlemen, went swimming with Col. Sverdlov and had dinner over at Col. Vainer’s house. I got to see his personal library and the various books he wrote. Talked to him as much as I could sensitively do so about Soviet OR, and they were pretty adamant that there really wasn’t anything significant occurring. Vainer told me that his primary source for materials for his books was American writings on Operations Research. So, it appeared that we had completed a loop….the Soviets were writing OR books based upon our material and we were reading them and thinking they had a well developed OR structure.

Their historical research was also still primarily based upon one-side data. They simply were not allowed to access the German archives and regardless they knew that they should not be publishing Soviet casualty figures or any negative comparisons. Col. Sverdlov, who had been in the war since Moscow 1941, was well aware of the Soviet losses, and had some sense that the German losses were less, but this they could not publish [Sverdlov: “I was at Prokhorovka after the war, and I didn’t see 100 Tigers there”]. So, they were hardly able to freely conduct historical analysis in an unbiased manner.

In the end, at this time, they had not developed the analytical tools or capability to fully explore their own military history or to conduct operations research.

 

Human Factors In Warfare: Dispersion

Photo of Union soldiers on the Antietam battlefield by Alexander Gardener.

As I have written about before, the foundation of Trevor Dupuy’s theories on combat were based on an initial study in 1964 of the relationship between weapon lethality, casualty rates, and dispersion on the battlefield. The historical trend toward greater dispersion was a response to continual increases in the lethality of weapons.

While this relationship might appear primarily technological in nature, Dupuy considered it the result of the human factor of fear on the battlefield. He put it in more human terms in a symposium paper from 1989:

There is one basic reason for the dispersal of troops on modern battlefields: to mitigate the lethal effects of firepower upon troops. As Lewis Richardson wrote in The Statistics of Deadly Quarrels, there is a limit to the amount of punishment human beings can sustain. Dispersion was resorted to as a tactical response to firepower mostly because—as weapons became more lethal in the 17th Century—soldiers were already beginning to disperse without official sanction. This was because they sensed that on the bloody battlefields of that century they were approaching the limit of the punishment men can stand.