Tag dispersion

Trevor Dupuy’s Definitions of Lethality

Two U.S. Marines with a M1919A4 machine gun on Roi-Namur Island in the Marshall Islands during World War II. [Wikimedia]

It appears that discussion of the meaning of lethality, as related to the use of the term in the 2018 U.S. National Defense Strategy document, has sparked up again. It was kicked off by an interesting piece by Olivia Gerard in The Strategy Bridge last autumn, “Lethality: An Inquiry.”

Gerard credited Trevor Dupuy and his colleagues at the Historical Evaluation Research Organization (HERO) with codifying “the military appropriation of the concept” of lethality, which was defined as: “the inherent capability of a given weapon to kill personnel or make materiel ineffective in a given period, where capability includes the factors of weapon range, rate of fire, accuracy, radius of effects, and battlefield mobility.”

It is gratifying for Gerard to attribute this to Dupuy and HERO, but some clarification is needed. The definition she quoted was, in fact, one provided to HERO for the purposes of a study sponsored by the Advanced Tactics Project (AVTAC) of the U.S. Army Combat Developments Command. The 1964 study report, Historical Trends Related to Weapon Lethality, provided the starting point for Dupuy’s subsequent theorizing about combat.

In his own works, Dupuy used a simpler definition of lethality:

He also used the terms lethality and firepower interchangeably in his writings. The wording of the original 1964 AVTAC definition tracks closely with the lethality scoring methodology Dupuy and his HERO colleagues developed for the study, known as the Theoretical Lethality Index/Operational Lethality Index (TLI/OLI). The original purpose of this construct was to permit some measurement of lethality by which weapons could be compared to each other (TLI), and to each other through history (OLI). It worked well enough that he incorporated it into his combat models, the Quantified Judgement Model (QJM) and Tactical Numerical Deterministic Model (TNDM).

Dupuy’s Verities: The Inefficiency of Combat

The “Mud March” of the Union Army of the Potomac, January 1863.

The twelfth of Trevor Dupuy’s Timeless Verities of Combat is:

Combat activities are always slower, less productive, and less efficient than anticipated.

From Understanding War (1987):

This is the phenomenon that Clausewitz called “friction in war.” Friction is largely due to the disruptive, suppressive, and dispersal effects of firepower upon an aggregation of people. This pace of actual combat operations will be much slower than the progress of field tests and training exercises, even highly realistic ones. Tests and exercises are not truly realistic portrayals of combat, because they lack the element of fear in a lethal environment, present only in real combat. Allowances must be made in planning and execution for the effects of friction, including mistakes, breakdowns, and confusion.

While Clausewitz asserted that the effects of friction on the battlefield could not be measured because they were largely due to chance, Dupuy believed that its influence could, in fact, be gauged and quantified. He identified at least two distinct combat phenomena he thought reflected measurable effects of friction: the differences in casualty rates between large and small sized forces, and diminishing returns from adding extra combat power beyond a certain point in battle. He also believed much more research would be necessary to fully understand and account for this.

Dupuy was skeptical of the accuracy of combat models that failed to account for this interaction between operational and human factors on the battlefield. He was particularly doubtful about approaches that started by calculating the outcomes of combat between individual small-sized units or weapons platforms based on the Lanchester equations or “physics-based” estimates, then used these as inputs for brigade and division-level-battles, the results of which in turn were used as the basis for determining the consequences of theater-level campaigns. He thought that such models, known as “bottom up,” hierarchical, or aggregated concepts (and the prevailing approach to campaign combat modeling in the U.S.), would be incapable of accurately capturing and simulating the effects of friction.

Dupuy’s Verities: The Effects of Firepower in Combat

A German artillery barrage falling on Allied trenches, probably during the Second Battle of Ypres in 1915, during the First World War. [Wikimedia]

The eleventh of Trevor Dupuy’s Timeless Verities of Combat is:

Firepower kills, disrupts, suppresses, and causes dispersion.

From Understanding War (1987):

It is doubtful if any of the people who are today writing on the effect of technology on warfare would consciously disagree with this statement. Yet, many of them tend to ignore the impact of firepower on dispersion, and as a consequence they have come to believe that the more lethal the firepower, the more deaths, disruption, and suppression it will cause. In fact, as weapons have become more lethal intrinsically, their casualty-causing capability has either declined or remained about the same because of greater dispersion of targets. Personnel and tank loss rates of the 1973 Arab-Israeli War, for example, were quite similar to those of intensive battles of World War II and the casualty rates in both of these wars were less than in World War I. (p. 7)

Research and analysis of real-world historical combat data by Dupuy and TDI has identified at least four distinct combat effects of firepower: infliction of casualties (lethality), disruption, suppression, and dispersion. All of them were found to be heavily influenced—if not determined—by moral (human) factors.

Again, I have written extensively on this blog about Dupuy’s theory about the historical relationship between weapon lethality, dispersion on the battlefield, and historical decline in average daily combat casualty rates. TDI President Chris Lawrence has done further work on the subject as well.

TDI Friday Read: Lethality, Dispersion, And Mass On Future Battlefields

Human Factors In Warfare: Dispersion

Human Factors In Warfare: Suppression

There appears to be a fundamental difference in interpretation of the combat effects of firepower between Dupuy’s emphasis on the primacy of human factors and Defense Department models that account only for the “physics-based” casualty-inflicting capabilities of weapons systems. While U.S. Army combat doctrine accounts for the interaction of firepower and human behavior on the battlefield, it has no clear method for assessing or even fully identifying the effects of such factors on combat outcomes.

Trevor Dupuy and Technological Determinism in Digital Age Warfare

Is this the only innovation in weapons technology in history with the ability in itself to change warfare and alter the balance of power? Trevor Dupuy thought it might be. Shot IVY-MIKE, Eniwetok Atoll, 1 November 1952. [Wikimedia]

Trevor Dupuy was skeptical about the role of technology in determining outcomes in warfare. While he did believe technological innovation was crucial, he did not think that technology itself has decided success or failure on the battlefield. As he wrote posthumously in 1997,

I am a humanist, who is also convinced that technology is as important today in war as it ever was (and it has always been important), and that any national or military leader who neglects military technology does so to his peril and that of his country. But, paradoxically, perhaps to an extent even greater than ever before, the quality of military men is what wins wars and preserves nations. (emphasis added)

His conclusion was largely based upon his quantitative approach to studying military history, particularly the way humans have historically responded to the relentless trend of increasingly lethal military technology.

The Historical Relationship Between Weapon Lethality and Battle Casualty Rates

Based on a 1964 study for the U.S. Army, Dupuy identified a long-term historical relationship between increasing weapon lethality and decreasing average daily casualty rates in battle. (He summarized these findings in his book, The Evolution of Weapons and Warfare (1980). The quotes below are taken from it.)

Since antiquity, military technological development has produced weapons of ever increasing lethality. The rate of increase in lethality has grown particularly dramatically since the mid-19th century.

However, in contrast, the average daily casualty rate in combat has been in decline since 1600. With notable exceptions during the 19th century, casualty rates have continued to fall through the late 20th century. If technological innovation has produced vastly more lethal weapons, why have there been fewer average daily casualties in battle?

The primary cause, Dupuy concluded, was that humans have adapted to increasing weapon lethality by changing the way they fight. He identified three key tactical trends in the modern era that have influenced the relationship between lethality and casualties:

Technological Innovation and Organizational Assimilation

Dupuy noted that the historical correlation between weapons development and their use in combat has not been linear because the pace of integration has been largely determined by military leaders, not the rate of technological innovation. “The process of doctrinal assimilation of new weapons into compatible tactical and organizational systems has proved to be much more significant than invention of a weapon or adoption of a prototype, regardless of the dimensions of the advance in lethality.” [p. 337]

As a result, the history of warfare has been exemplified more often by a discontinuity between weapons and tactical systems than effective continuity.

During most of military history there have been marked and observable imbalances between military efforts and military results, an imbalance particularly manifested by inconclusive battles and high combat casualties. More often than not this imbalance seems to be the result of incompatibility, or incongruence, between the weapons of warfare available and the means and/or tactics employing the weapons. [p. 341]

In short, military organizations typically have not been fully effective at exploiting new weapons technology to advantage on the battlefield. Truly decisive alignment between weapons and systems for their employment has been exceptionally rare. Dupuy asserted that

There have been six important tactical systems in military history in which weapons and tactics were in obvious congruence, and which were able to achieve decisive results at small casualty costs while inflicting disproportionate numbers of casualties. These systems were:

  • the Macedonian system of Alexander the Great, ca. 340 B.C.
  • the Roman system of Scipio and Flaminius, ca. 200 B.C.
  • the Mongol system of Ghengis Khan, ca. A.D. 1200
  • the English system of Edward I, Edward III, and Henry V, ca. A.D. 1350
  • the French system of Napoleon, ca. A.D. 1800
  • the German blitzkrieg system, ca. A.D. 1940 [p. 341]

With one caveat, Dupuy could not identify any single weapon that had decisively changed warfare in of itself without a corresponding human adaptation in its use on the battlefield.

Save for the recent significant exception of strategic nuclear weapons, there have been no historical instances in which new and lethal weapons have, of themselves, altered the conduct of war or the balance of power until they have been incorporated into a new tactical system exploiting their lethality and permitting their coordination with other weapons; the full significance of this one exception is not yet clear, since the changes it has caused in warfare and the influence it has exerted on international relations have yet to be tested in war.

Until the present time, the application of sound, imaginative thinking to the problem of warfare (on either an individual or an institutional basis) has been more significant than any new weapon; such thinking is necessary to real assimilation of weaponry; it can also alter the course of human affairs without new weapons. [p. 340]

Technological Superiority and Offset Strategies

Will new technologies like robotics and artificial intelligence provide the basis for a seventh tactical system where weapons and their use align with decisive battlefield results? Maybe. If Dupuy’s analysis is accurate, however, it is more likely that future increases in weapon lethality will continue to be counterbalanced by human ingenuity in how those weapons are used, yielding indeterminate—perhaps costly and indecisive—battlefield outcomes.

Genuinely effective congruence between weapons and force employment continues to be difficult to achieve. Dupuy believed the preconditions necessary for successful technological assimilation since the mid-19th century have been a combination of conducive military leadership; effective coordination of national economic, technological-scientific, and military resources; and the opportunity to evaluate and analyze battlefield experience.

Can the U.S. meet these preconditions? That certainly seemed to be the goal of the so-called Third Offset Strategy, articulated in 2014 by the Obama administration. It called for maintaining “U.S. military superiority over capable adversaries through the development of novel capabilities and concepts.” Although the Trump administration has stopped using the term, it has made “maximizing lethality” the cornerstone of the 2018 National Defense Strategy, with increased funding for the Defense Department’s modernization priorities in FY2019 (though perhaps not in FY2020).

Dupuy’s original work on weapon lethality in the 1960s coincided with development in the U.S. of what advocates of a “revolution in military affairs” (RMA) have termed the “First Offset Strategy,” which involved the potential use of nuclear weapons to balance Soviet superiority in manpower and material. RMA proponents pointed to the lopsided victory of the U.S. and its allies over Iraq in the 1991 Gulf War as proof of the success of a “Second Offset Strategy,” which exploited U.S. precision-guided munitions, stealth, and intelligence, surveillance, and reconnaissance systems developed to counter the Soviet Army in Germany in the 1980s. Dupuy was one of the few to attribute the decisiveness of the Gulf War both to airpower and to the superior effectiveness of U.S. combat forces.

Trevor Dupuy certainly was not an anti-technology Luddite. He recognized the importance of military technological advances and the need to invest in them. But he believed that the human element has always been more important on the battlefield. Most wars in history have been fought without a clear-cut technological advantage for one side; some have been bloody and pointless, while others have been decisive for reasons other than technology. While the future is certainly unknown and past performance is not a guarantor of future results, it would be a gamble to rely on technological superiority alone to provide the margin of success in future warfare.

“Quantity Has A Quality All Its Own”: How Robot Swarms Might Change Future Combat

Humans vs. machines in the film Matrix Revolutions (2003) [Screencap by The Matrix Wiki]

Yesterday, Paul Scharre, director of the Technology and National Security Program at the Center for a New American Security, and prolific writer on the future of robotics and artificial intelligence, posted a fascinating argument on Twitter regarding swarms and mass in future combat.

His thread was in response to an article by Shmuel Shmuel posted on War on the Rocks, which made the case that the same computer processing technology enabling robotic vehicles combined with old fashioned kinetic weapons (i.e. anti-aircraft guns) offered a cost-effective solution to swarms.

Scharre agreed that robotic drones are indeed vulnerable to such countermeasures, but made this point in response:

He then went to contend that robotic swarms offer the potential to reestablish the role of mass in future combat. Mass, either in terms of numbers of combatants or volume of firepower, has played a decisive role in most wars. As the aphorism goes, usually credited to Josef Stalin, “mass has a quality all of its own.”

Scharre observed that the United States went in a different direction in its post-World War II approach to warfare, adopting instead “offset” strategies that sought to leverage superior technology to balance against the mass militaries of the Communist bloc.

While effective during the Cold War, Scharre concurs with the arguments that offset strategies are becoming far too expensive and may ultimately become self-defeating.

In order to avoid this fate, Scharre contends that

The entire thread is well worth reading.

Trevor Dupuy would have agreed with much of what Scharre’s asserts. He identified the relationship between increasing weapon lethality and battlefield dispersion that goes back to the 17th century. Dupuy believed that the primary factor driving this relationship was the human response to fear in a lethal environment, with soldiers dispersing in depth and frontage on battlefields in order to survive weapons of ever increasing destructiveness.

TDI Friday Read: Lethality, Dispersion, And Mass On Future Battlefields

Robots might very well change that equation. Whether autonomous or “human in the loop,” robotic swarms do not feel fear and are inherently expendable. Cheaply produced robots might very well provide sufficient augmentation to human combat units to restore the primacy of mass in future warfare.

TDI Friday Read: Lethality, Dispersion, And Mass On Future Battlefields

Armies have historically responded to the increasing lethality of weapons by dispersing mass in frontage and depth on the battlefield. Will combat see a new period of adjustment over the next 50 years like the previous half-century, where dispersion continues to shift in direct proportion to increased weapon range and precision, or will there be a significant change in the character of warfare?

One point of departure for such an inquiry could be the work of TDI President Chris Lawrence, who looked into the nature of historical rates of dispersion in combat from 1600 to 1991.

The Effects Of Dispersion On Combat

As he explained,

I am focusing on this because l really want to come up with some means of measuring the effects of a “revolution in warfare.” The last 400 years of human history have given us more revolutionary inventions impacting war than we can reasonably expect to see in the next 100 years. In particular, I would like to measure the impact of increased weapon accuracy, improved intelligence, and improved C2 on combat.

His tentative conclusions were:

  1. Dispersion has been relatively constant and driven by factors other than firepower from 1600-1815.
  2. Since the Napoleonic Wars, units have increasingly dispersed (found ways to reduce their chance to be hit) in response to increased lethality of weapons.
  3. As a result of this increased dispersion, casualties in a given space have declined.
  4. The ratio of this decline in casualties over area have been roughly proportional to the strength over an area from 1600 through WWI. Starting with WWII, it appears that people have dispersed faster than weapons lethality, and this trend has continued.
  5. In effect, people dispersed in direct relation to increased firepower from 1815 through 1920, and then after that time dispersed faster than the increase in lethality.
  6. It appears that since WWII, people have gone back to dispersing (reducing their chance to be hit) at the same rate that firepower is increasing.
  7. Effectively, there are four patterns of casualties in modem war:

Period 1 (1600 – 1815): Period of Stability

  • Short battles
  • Short frontages
  • High attrition per day
  • Constant dispersion
  • Dispersion decreasing slightly after late 1700s
  • Attrition decreasing slightly after mid-1700s.

Period 2 (1816 – 1905): Period of Adjustment

  • Longer battles
  • Longer frontages
  • Lower attrition per day
  • Increasing dispersion
  • Dispersion increasing slightly faster than lethality

Period 3 (1912 – 1920): Period of Transition

  • Long battles
  • Continuous frontages
  • Lower attrition per day
  • Increasing dispersion
  • Relative lethality per kilometer similar to past, but lower
  • Dispersion increasing slightly faster than lethality

Period 4 (1937 – present): Modern Warfare

  • Long battles
  • Continuous frontages
  • Low attrition per day
  • High dispersion (perhaps constant?)
  • Relatively lethality per kilometer much lower than the past
  • Dispersion increased much faster than lethality going into the period.
  • Dispersion increased at the same rate as lethality within the period.

Chris based his study on previous work done by Trevor Dupuy and his associates, which established a pattern in historical combat between lethality, dispersion, and battlefield casualty rates.

Trevor Dupuy and Historical Trends Related to Weapon Lethality

What Is The Relationship Between Rate of Fire and Military Effectiveness?

Human Factors In Warfare: Dispersion

There is no way to accurately predict the future relationship between weapon lethality and dispersion on the battlefield, but we should question whether or not current conception of combat reflect consideration of the historical trends.

Attrition In Future Land Combat

The Principle Of Mass On The Future Battlefield

Spotted In The New Books Section Of The U.S. Naval Academy Library…

Christopher A. Lawrence, War by Numbers: Understanding Conventional Combat (Lincoln, NE: Potomac Books, 2017) 390 pages, $39.95

War by Numbers assesses the nature of conventional warfare through the analysis of historical combat. Christopher A. Lawrence (President and Executive Director of The Dupuy Institute) establishes what we know about conventional combat and why we know it. By demonstrating the impact a variety of factors have on combat he moves such analysis beyond the work of Carl von Clausewitz and into modern data and interpretation.

Using vast data sets, Lawrence examines force ratios, the human factor in case studies from World War II and beyond, the combat value of superior situational awareness, and the effects of dispersion, among other elements. Lawrence challenges existing interpretations of conventional warfare and shows how such combat should be conducted in the future, simultaneously broadening our understanding of what it means to fight wars by the numbers.

The book is available in paperback directly from Potomac Books and in paperback and Kindle from Amazon.

The Principle Of Mass On The Future Battlefield

Men of the U.S. Army 369th Infantry Regiment “Harlem’s Hellfighters,”in action at Séchault on September 29, 1918 during the Meuse-Argonne Offensive. [Wikimedia]

Given the historical trend toward battlefield dispersion as a result of the increasing lethality of weapons, how will the principle of mass apply in future warfare? I have been wondering about this for a while in the context of the two principle missions the U.S. Army must plan and prepare for, combined arms maneuver and wide area security. As multi-domain battle advocates contend, future combat will place a premium on smaller, faster, combat formations capable of massing large amounts of firepower. However, wide area security missions, such as stabilization and counterinsurgency, will continue to demand significant numbers of “boots on the ground,” the traditional definition of mass on the battlefield. These seemingly contradictory requirements are contributing to the Army’s ongoing “identity crisis” over future doctrine, training, and force structure in an era of budget austerity and unchanging global security responsibilities.

Over at the Australian Army Land Power Forum, Lieutenant Colonel James Davis addresses the question generating mass in combat in the context of the strategic challenges that army faces. He cites traditional responses by Western armies to this problem, “Regular and Reserve Force partnering through a standing force generation cycle, indigenous force partnering through deployed training teams and Reserve mobilisation to reconstitute and regenerate deployed units.”

Davis also mentions AirLand Battle and “blitzkrieg” as examples of tactical and operational approaches to limiting the ability of enemy forces to mass on the battlefield. To this he adds “more recent operational concepts, New Generation Warfare and Multi Domain Battle, [that] operate in the air, electromagnetic spectrum and cyber domain and to deny adversary close combat forces access to the battle zone.” These newer concepts use Cyber Electromagnetic Activities (CEMA), Information Operations, long range Joint Fires, and Robotic and Autonomous systems (RAS) to attack enemy efforts to mass.

The U.S. Army is moving rapidly to develop, integrate and deploy these capabilities. Yet, however effectively new doctrine and technology may influence mass in combined arms maneuver combat, it is harder to see how they can mitigate the need for manpower in wide area security missions. Some countries may have the strategic latitude to emphasize combined arms maneuver over wide area security, but the U.S. Army cannot afford to do so in the current security environment. Although conflicts emphasizing combined arms maneuver may present the most dangerous security challenge to the U.S., contingencies involving wide area security are far more likely.

How this may be resolved is an open question at this point in time. It is also a demonstration as to how tactical and operational considerations influence strategic options.

The Effects Of Dispersion On Combat

[The article below is reprinted from the December 1996 edition of The International TNDM Newsletter. A revised version appears in Christopher A. Lawrence, War by Numbers: Understanding Conventional Combat (Potomac Books, 2017), Chapter 13.]

The Effects of Dispersion on Combat
by Christopher A. Lawrence

The TNDM[1] does not play dispersion. But it is clear that dispersion has continued to increase over time, and this must have some effect on combat. This effect was identified by Trevor N. Dupuy in his various writings, starting with the Evolution of Weapons and Warfare. His graph in Understanding War of the battle casualties trends over time is presented here as Figure 1. As dispersion changes over time (dramatically), one would expect the casualties would change over time. I therefore went back to the Land Warfare Database (the 605 engagement version[2]) and proceeded to look at casualties over time and dispersion from every angle that l could.

l eventually realized that l was going to need some better definition of the time periods l was measuring to, as measuring by years scattered the data, measuring by century assembled the data in too gross a manner, and measuring by war left a confusing picture due to the number of small wars with only two or three battles in them in the Land Warfare Database. I eventually defined the wars into 14 categories, so I could fit them onto one readable graph:

To give some idea of how representative the battles listed in the LWDB were for covering the period, I have included a count of the number of battles listed in Michael Clodfelter’s two-volume book Warfare and Armed Conflict, 1618-1991. In the case of WWI, WWII and later, battles tend to be defined as a divisional-level engagement, and there were literally tens of thousands of those.

I then tested my data again looking at the 14 wars that I defined:

  • Average Strength by War (Figure 2)
  • Average Losses by War (Figure 3)
  • Percent Losses Per Day By War (Figure 4)a
  • Average People Per Kilometer By War (Figure 5)
  • Losses per Kilometer of Front by War (Figure 6)
  • Strength and Losses Per Kilometer of Front By War (Figure 7)
  • Ratio of Strength and Losses per Kilometer of Front by War (Figure 8)
  • Ratio of Strength and Loses per Kilometer of Front by Century (Figure 9)

A review of average strengths over time by century and by war showed no surprises (see Figure 2). Up through around 1900, battles were easy to define: they were one- to three-day affairs between clearly defined forces at a locale. The forces had a clear left flank and right flank that was not bounded by other friendly forces. After 1900 (and in a few cases before), warfare was fought on continuous fronts

with a ‘battle’ often being a large multi-corps operation. It is no longer clearly understood what is meant by a battle, as the forces, area covered, and duration can vary widely. For the LWDB, each battle was defined as the analyst wished. ln the case of WWI, there are a lot of very large battles which drive the average battle size up. ln the cases of the WWII, there are a lot of division-level battles, which bring the average down. In the case of the Arab-Israeli Wars, there are nothing but division and brigade-level battles, which bring the average down.

The interesting point to notice is that the average attacker strength in the 16th and 17th century is lower than the average defender strength. Later it is higher. This may be due to anomalies in our data selection.

Average loses by war (see Figure 3) suffers from the same battle definition problem.

Percent losses per day (see Figure 4) is a useful comparison through the end of the 19th Century. After that, the battles get longer and the definition of a duration of the battle is up to the analyst. Note the very dear and definite downward pattern of percent loses per day from the Napoleonic Wars through the Arab-Israeli Wars. Here is a very clear indication of the effects of dispersion. It would appear that from the 1600s to the 1800s the pattern was effectively constant and level, then declines in a very systematic pattern. This partially contradicts Trevor Dupuy’s writing and graphs (see Figure 1). It does appear that after this period of decline that the percent losses per day are being set at a new, much lower plateau. Percent losses per day by war is attached.

Looking at the actual subject of the dispersion of people (measured in people per kilometer of front) remained relatively constant from 1600 through the American Civil War (see Figure 5). Trevor Dupuy defined dispersion as the number of people in a box-like area. Unfortunately, l do not know how to measure that. lean clearly identify the left and right of a unit, but it is more difficult to tell how deep it is Furthermore, density of occupation of this box is far from uniform, with a very forward bias By the same token, fire delivered into this box is also not uniform, with a very forward bias. Therefore, l am quite comfortable measuring dispersion based upon unit frontage, more so than front multiplied by depth.

Note, when comparing the Napoleonic Wars to the American Civil War that the dispersion remains about the same. Yet, if you look at the average casualties (Figure 3) and the average percent casualties per day (Figure 4), it is clear that the rate of casualty accumulation is lower in the American Civil War (this again partially contradicts Dupuy‘s writings). There is no question that with the advent of the Minié ball, allowing for rapid-fire rifled muskets, the ability to deliver accurate firepower increased.

As you will also note, the average people per linear kilometer between WWI and WWII differs by a factor of a little over 1.5 to 1. Yet the actual difference in casualties (see Figure 4) is much greater. While one can just postulate that the difference is the change in dispersion squared (basically Dupuy‘s approach), this does not seem to explain the complete difference, especially the difference between the Napoleonic Wars and the Civil War.

lnstead of discussing dispersion, we should be discussing “casualty reduction efforts.” This basically consists of three elements:

  • Dispersion (D)
  • Increased engagement ranges (R)
  • More individual use of cover and concealment (C&C).

These three factors together result in the reduced chance to hit. They are also partially interrelated, as one cannot make more individual use of cover and concealment unless one is allowed to disperse. So, therefore. The need for cover and concealment increases the desire to disperse and the process of dispersing allows one to use more cover and concealment.

Command and control are integrated into this construct as being something that allows dispersion, and dispersion creates the need for better command control. Therefore, improved command and control in this construct does not operate as a force modifier, but enables a force to disperse.

Intelligence becomes more necessary as the opposing forces use cover and concealment and the ranges of engagement increase. By the same token, improved intelligence allows you to increase the range of engagement and forces the enemy to use better concealment.

This whole construct could be represented by the diagram at the top of the next page.

Now, I may have said the obvious here, but this construct is probably provable in each individual element, and the overall outcome is measurable. Each individual connection between these boxes may also be measurable.

Therefore, to measure the effects of reduced chance to hit, one would need to measure the following formula (assuming these formulae are close to being correct):

(K * ΔD) + (K * ΔC&C) + (K * ΔR) = H

(K * ΔC2) = ΔD

(K * ΔD) = ΔC&C

(K * ΔW) + (K * ΔI) = ΔR

K = a constant
Δ = the change in….. (alias “Delta”)
D = Dispersion
C&C = Cover & Concealment
R = Engagement Range
W = Weapon’s Characteristics
H = the chance to hit
C2 = Command and control
I = Intelligence or ability to observe

Also, certain actions lead to a desire for certain technological and system improvements. This includes the effect of increased dispersion leading to a need for better C2 and increased range leading to a need for better intelligence. I am not sure these are measurable.

I have also shown in the diagram how the enemy impacts upon this. There is also an interrelated mirror image of this construct for the other side.

I am focusing on this because l really want to come up with some means of measuring the effects of a “revolution in warfare.” The last 400 years of human history have given us more revolutionary inventions impacting war than we can reasonably expect to see in the next 100 years. In particular, I would like to measure the impact of increased weapon accuracy, improved intelligence, and improved C2 on combat.

For the purposes of the TNDM, I would very specifically like to work out an attrition multiplier for battles before WWII (and theoretically after WWII) based upon reduced chance to be hit (“dispersion”). For example, Dave Bongard is currently using an attrition multiplier of 4 for his WWI engagements that he is running for the battalion-level validation data base.[3] No one can point to a piece of paper saying this is the value that should be used. Dave picked this value based upon experience and familiarity with the period.

I have also attached Average Loses per Kilometer of Front by War (see Figure 6 above), and a summary chart showing the two on the same chart (see figure 7 above).

The values from these charts are:

The TNDM sets WWII dispersion factor at 3,000 (which l gather translates into 30,000 men per square kilometer). The above data shows a linear dispersion per kilometer of 2,992 men, so this number parallels Dupuy‘s figures.

The final chart I have included is the Ratio of Strength and Losses per Kilometer of Front by War (Figure 8). Each line on the bar graph measures the average ratio of strength over casualties for either the attacker or defender. Being a ratio, unusual outcomes resulted in some really unusually high ratios. I took the liberty of taking out six

data points because they appeared unusually lop-sided. Three of these points are from the English Civil War and were way out of line with everything else. These were the three Scottish battles where you had a small group of mostly sword-armed troops defeating a “modem” army. Also, Walcourt (1689), Front Royal (1862), and Calbritto (1943) were removed. L also have included the same chart, except by century (Figure 9).
Again, one sees a consistency in results in over 300+ years of war, in this case going all the way through WWI, then sees an entirely different pattern with WWII and the Arab-Israeli Wars

A very tentative set of conclusions from all this is:

  1. Dispersion has been relatively constant and driven by factors other than firepower from 1600-1815.
  2. Since the Napoleonic Wars, units have increasingly dispersed (found ways to reduce their chance to be hit) in response to increased lethality of weapons.
  3. As a result of this increased dispersion, casualties in a given space have declined.
  4. The ratio of this decline in casualties over area have been roughly proportional to the strength over an area from 1600 through WWI. Starting with WWII, it appears that people have dispersed faster than weapons lethality, and this trend has continued.
  5. In effect, people dispersed in direct relation to increased firepower from 1815 through 1920, and then after that time dispersed faster than the increase in lethality.
  6. It appears that since WWII, people have gone back to dispersing (reducing their chance to be hit) at the same rate that firepower is increasing.
  7. Effectively, there are four patterns of casualties in modem war:

Period 1 (1600 – 1815): Period of Stability

  • Short battles
  • Short frontages
  • High attrition per day
  • Constant dispersion
  • Dispersion decreasing slightly after late 1700s
  • Attrition decreasing slightly after mid-1700s.

Period 2 (1816 – 1905): Period of Adjustment

  • Longer battles
  • Longer frontages
  • Lower attrition per day
  • Increasing dispersion
  • Dispersion increasing slightly faster than lethality

Period 3 (1912 – 1920): Period of Transition

  • Long Battles
  • Continuous Frontages
  • Lower attrition per day
  • Increasing dispersion
  • Relative lethality per kilometer similar to past, but lower
  • Dispersion increasing slightly faster than lethality

Period 4 (1937 – present): Modern Warfare

  • Long Battles
  • Continuous Frontages
  • Low Attrition per day
  • High dispersion (perhaps constant?)
  • Relatively lethality per kilometer much lower than the past
  • Dispersion increased much faster than lethality going into the period.
  • Dispersion increased at the same rate as lethality within the period.

So the question is whether warfare of the next 50 years will see a new “period of adjustment,” where the rate of dispersion (and other factors) adjusts in direct proportion to increased lethality, or will there be a significant change in the nature of war?

Note that when l use the word “dispersion” above, l often mean “reduced chance to be hit,” which consists of dispersion, increased engagement ranges, and use of cover & concealment.

One of the reasons l wandered into this subject was to see if the TNDM can be used for predicting combat before WWII. l then spent the next few days attempting to find some correlation between dispersion and casualties. Using the data on historical dispersion provided above, l created a mathematical formulation and tested that against the actual historical data points, and could not get any type of fit.

I then locked at the length of battles over time, at one-day battles, and attempted to find a pattern. I could find none. I also looked at other permutations, but did not keep a record of my attempts. I then looked through the work done by Dean Hartley (Oakridge) with the LWDB and called Paul Davis (RAND) to see if there was anyone who had found any correlation between dispersion and casualties, and they had not noted any.

It became clear to me that if there is any such correlation, it is buried so deep in the data that it cannot be found by any casual search. I suspect that I can find a mathematical correlation between weapon lethality, reduced chance to hit (including dispersion), and casualties. This would require some improvement to the data, some systematic measure of weapons lethality, and some serious regression analysis. I unfortunately cannot pursue this at this time.

Finally, for reference, l have attached two charts showing the duration of the battles in the LWDB in days (Figure 10, Duration of Battles Over Time and Figure 11, A Count of the Duration of Battles by War).

NOTES

[1] The Tactical Numerical Deterministic Model, a combat model developed by Trevor Dupuy in 1990-1991 as the follow-up to his Quantified Judgement Model. Dr. James G. Taylor and Jose Perez also contributed to the TNDM’s development.

[2] TDI’s Land Warfare Database (LWDB) was a revised version of a database created by the Historical Evaluation Research Organization (HERO) for the then-U.S. Army Concepts and Analysis Agency (now known as the U.S. Army Center for Army Analysis (CAA)) in 1984. Since the original publication of this article, TDI expanded and revised the data into a suite of databases.

[3] This matter is discussed in Christopher A. Lawrence, “The Second Test of the TNDM Battalion-Level Validations: Predicting Casualties,” The International TNDM Newsletter, April 1997, pp. 40-50.

War By Numbers Published

Christopher A. Lawrence, War by Numbers Understanding Conventional Combat (Lincoln, NE: Potomac Books, 2017) 390 pages, $39.95

War by Numbers assesses the nature of conventional warfare through the analysis of historical combat. Christopher A. Lawrence (President and Executive Director of The Dupuy Institute) establishes what we know about conventional combat and why we know it. By demonstrating the impact a variety of factors have on combat he moves such analysis beyond the work of Carl von Clausewitz and into modern data and interpretation.

Using vast data sets, Lawrence examines force ratios, the human factor in case studies from World War II and beyond, the combat value of superior situational awareness, and the effects of dispersion, among other elements. Lawrence challenges existing interpretations of conventional warfare and shows how such combat should be conducted in the future, simultaneously broadening our understanding of what it means to fight wars by the numbers.

The book is available in paperback directly from Potomac Books and in paperback and Kindle from Amazon.