Force concentration is the practice of concentrating a military force so as to bring to bear such overwhelming force against a portion of an enemy force that the disparity between the two forces alone acts as a
force multiplier
In military science, force multiplication or a force multiplier is a factor or a combination of factors that gives personnel or weapons (or other hardware) the ability to accomplish greater feats than without it. The expected size increase requ ...
in favour of the concentrated forces.
Mass of decision
Force concentration became integral to the
Prussian military operational doctrine of the ''mass of decision'', which aimed to cause disproportionate losses on the enemy and therefore destroy the enemy's ability to fight.
From an
empirical
Empirical evidence for a proposition is evidence, i.e. what supports or counters this proposition, that is constituted by or accessible to sense experience or experimental procedure. Empirical evidence is of central importance to the sciences and ...
examination of past battles, the
Prussia
Prussia, , Old Prussian: ''Prūsa'' or ''Prūsija'' was a German state on the southeast coast of the Baltic Sea. It formed the German Empire under Prussian rule when it united the German states in 1871. It was ''de facto'' dissolved by an em ...
n military theorist
Carl von Clausewitz
Carl Philipp Gottfried (or Gottlieb) von Clausewitz (; 1 June 1780 – 16 November 1831) was a Prussian general and military theorist who stressed the "moral", in modern terms meaning psychological, and political aspects of waging war. His mos ...
(1780–1831) concluded:
..we may infer, that it is very difficult in the present state of Europe, for the most talented General to gain a victory over an enemy double his strength. Now if we see double numbers prove such a weight in the scale against the greatest Generals, we may be sure, that in ordinary cases, in small as well as great combats, an important superiority of numbers, but which need not be over two to one, will be sufficient to ensure the victory, however disadvantageous other circumstances may be.
Lanchester's laws
During the
First World War
World War I (28 July 1914 11 November 1918), often abbreviated as WWI, was one of the deadliest global conflicts in history. Belligerents included much of Europe, the Russian Empire, the United States, and the Ottoman Empire, with fightin ...
Frederick W. Lanchester formulated
Lanchester's laws
Lanchester's laws are mathematical formulae for calculating the relative strengths of military forces. The Lanchester equations are differential equations describing the time dependence of two armies' strengths A and B as a function of time, wit ...
that calculated that the combat power of a military force is the square of the number of members of that unit so that the advantage a larger force has is the difference of the squares of the two forces, i.e.
* If force A has say 2 units and force B has 3 units, then the advantage force B has is 3²−2² or 5.
* If force A still has 2 units and force B has 4 units then the advantage force B has is 4²−2² or 12.
* If force A still has 2 units and force B has 5 units then the advantage force B has is 5²−2² or 21.
So a two to one advantage in units will quadruple the firepower and inflict four times the punishment, three times as many units will have nine times the combat ability and so on. Basically the greater the numerical superiority that one side has, the greater the damage he can inflict on the other side and the smaller the cost to himself.
Mathematical model
There is no battlefield where battle tactics can be reduced to a pure race of delivering damage while ignoring all other circumstances. However, in some types of warfare, such as a battle for air superiority, confrontation of armoured forces in World War II or battleship-based naval battles, the ratio of armed forces could become the dominant factor. In that case, equations stated in
Lanchester's laws
Lanchester's laws are mathematical formulae for calculating the relative strengths of military forces. The Lanchester equations are differential equations describing the time dependence of two armies' strengths A and B as a function of time, wit ...
model the potential outcome of the conflict fairly well. Balance between the two opponent forces incline to the side of superior force by the factor of
. For example, two tanks against one tank are superior by a factor of four.
This result could be understood if the rate of damage (considered as the only relevant factor in the model) is solved as a system of
differential equation
In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, an ...
s. The rate in which each army delivers damage to the opponent is proportional to the number of units – in the model each unit shoots at a given rate – and to the ability or effectiveness of each surviving unit to kill the enemy. The sizes of both armies decrease at different rates depending on the size of the other, and casualties of the superior army approach zero as the size of the inferior army approaches zero. This can be written in equations:
*
is the number of units in the first army
*
is the rate in which army 1 damages army 2 (affected by unit quality or other advantage)
*
is a coefficient which describes army 1's ability to inflict damage per unit per time.
The above equations result in the following homogeneous second-order linear ordinary
differential equations
In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, an ...
:
To determine the time evolution of
and
, these equations need to be solved using the known initial conditions (the initial size of the two armies prior to combat).
This model clearly demonstrates (see picture) that an inferior force can suffer devastating losses even when the superior force is only slightly larger, in case of equal per-unit qualitative capabilities: in the first example (see picture, top plot) the superior force starts only 40% larger, yet it brings about the total annihilation of the inferior force while suffering only 40% losses. Quality of the force may outweigh the quantitative inferiority of the force (middle plot) when it comes to battle outcomes.
Lanchester's laws and business strategy
In the 1960s, Lanchester's laws were popularised by the business consultant Nobuo Taoka and found favour with a segment of the Japanese business community. The laws were used to formulate plans and strategies to attack
market share
Market share is the percentage of the total revenue or sales in a market that a company's business makes up. For example, if there are 50,000 units sold per year in a given industry, a company whose sales were 5,000 of those units would have a ...
. The "Canon–Xerox copier battle" in the UK, for example, reads like a classic
people's war
People's war (Chinese: 人民战争), also called protracted people's war, is a Maoist military strategy. First developed by the Chinese communist revolutionary leader Mao Zedong (1893–1976), the basic concept behind people's war is to mainta ...
campaign. In this case, the laws supported Canon's establishment of a "revolutionary base area" by concentrating resources on a single geographical area until dominance could be achieved, in this case in Scotland. After this, they carefully defined regions to be individually attacked again with a more focused allocation of resources. The sales and distribution forces built up to support these regions in turn were used in the final "determined push in London with a numerically larger salesforce".
Hypothetical example
Imagine two equally matched sides each with two infantry and two armoured divisions. Now visualize a straight defensive line with the two infantry and two armoured divisions, deployed equally along the length of the line. Hypothetically the attacker can win by concentrating his armour at one point (with his infantry holding the rest of the line).
Traditionally it is accepted that a defending force has a 3:1 advantage over an attacker. In other words, a defending force can hold off three times its own number of attackers. Imagine, then, that the defensive line is four units in length, so that each portion of the line can be held by a single defending division. Assume that they can take on the oncoming armour on equal terms (with
ATGW's, pre-prepared
artillery
Artillery is a class of heavy military ranged weapons that launch munitions far beyond the range and power of infantry firearms. Early artillery development focused on the ability to breach defensive walls and fortifications during siege ...
fireplans etc.) and that they have had time to
dig in
"Dig In" is a song by American singer-songwriter Lenny Kravitz, the lead single from his sixth studio album, '' Lenny'' (2001). It was released in September 2001. It was used in promos by the National Basketball Association for the 2002 NBA Playo ...
. This single unit should be able to hold off 3 times its own number. With the attacking force having only two armoured units, the defenders should have the advantage.
However, as the defensive line increases from the imaginary four units in length, the advantage slips from the defender to the attacker. The longer the line to be held, the thinner the defenders will be spread. With the defender having sacrificed his mobility to dig in, the attacker can choose where and when to attack. Either penetrating the line or turning a flank and thus being able to destroy the enemy in
detail Detail(s) or The Detail(s) may refer to:
Film and television
* ''Details'' (film), a 2003 Swedish film
* ''The Details'' (film), a 2011 American film
* ''The Detail'', a Canadian television series
* "The Detail" (''The Wire''), a television epis ...
. Thus, concentrating two divisions and attacking at a single point generates a far greater force than is achieved by spreading two divisions into a line and pushing forward on a broad front.
Concentration of force in this scenario requires mobility (to permit rapid concentration) and power (to be effective in combat once concentrated). The
tank
A tank is an armoured fighting vehicle intended as a primary offensive weapon in front-line ground combat. Tank designs are a balance of heavy firepower, strong armour, and good battlefield mobility provided by tracks and a powerful engin ...
embodies these two properties and for the past seventy years has been seen as the primary weapon of conventional warfare.
No one side has a monopoly on military art, and what is obvious to one side is obvious to the other. A far more likely scenario is that both forces will choose to use their infantry to hold a line and to concentrate their armour, and rather than a line in the sand, the infantry line would be more of a trip wire, to warn of where the enemy has chosen to launch his attack, with the armoured forces jostling to find the right place to attack or counterattack. Other considerations, then, must come into play for a decisive blow to be achieved.
Such considerations may be economic or political in nature, e.g. one side is unable or unwilling to allow the sanctity of its soil to be violated, and thus insists on defending a line on a map.
History
Force concentration has been a part of the military commander's repertoire since the dawn of warfare, though maybe not by that name. Commanders have always tried to have the advantage of numbers. The
declined flank for example, was one way of achieving a force concentration during a battle.
Disposition of Roman Legions
At the beginning of the
Roman Empire
The Roman Empire ( la, Imperium Romanum ; grc-gre, Βασιλεία τῶν Ῥωμαίων, Basileía tôn Rhōmaíōn) was the post-Republican period of ancient Rome. As a polity, it included large territorial holdings around the Mediterr ...
, in the first years of the first millennium, Rome's Legions were grouped into battle groups of three or four Legions, on the
Rhine
), Surselva, Graubünden, Switzerland
, source1_coordinates=
, source1_elevation =
, source2 = Rein Posteriur/Hinterrhein
, source2_location = Paradies Glacier, Graubünden, Switzerland
, source2_coordinates=
, so ...
, on the
Danube
The Danube ( ; ) is a river that was once a long-standing frontier of the Roman Empire and today connects 10 European countries, running through their territories or being a border. Originating in Germany, the Danube flows southeast for , pa ...
and in the
Levant
The Levant () is an approximate historical geographical term referring to a large area in the Eastern Mediterranean region of Western Asia. In its narrowest sense, which is in use today in archaeology and other cultural contexts, it is eq ...
. By the third century A.D. these Legions had been dispersed along the frontiers in frontier fortifications, and within the Empire as internal security troops. In the first case Rome's military might was disposed in a manner in which it had a concentration of force capable of offensive action; in the second case it could defend effectively but could only attack and counterattack with difficulty.
Guerrilla warfare
As they are usually the smaller in number an appreciation of force concentration is especially important to
guerrilla forces, who find it prudent initially to avoid confrontations with any large concentrations of government/occupying forces. However, through the use of small attacks, shows of strength, atrocities etc. in out of the way areas, they may be able to lure their opponents into spreading themselves out into isolated outposts, linked by convoys and patrols, in order to control territory. The guerrilla forces may then attempt to use force concentrations of their own; using unpredictable and unexpected concentrations of their forces, to destroy individual patrols, convoys and outposts. In this way they can hope to defeat their enemy in detail.
Regular forces, in turn, may act in order to invite such attacks by concentrations of enemy guerrillas, in order to bring an otherwise elusive enemy to battle, relying on its own superior training and firepower to win such battles. This was successfully practiced by the French during the
First Indochina War
The First Indochina War (generally known as the Indochina War in France, and as the Anti-French Resistance War in Vietnam) began in French Indochina from 19 December 1946 to 20 July 1954 between France and Việt Minh (Democratic Republic of Vi ...
at the
Battle of Nà Sản
The Battle of Nà Sản was fought between French Union forces and the Nationalist forces of the Việt Minh at Nà Sản, Sơn La Province, during the First Indochina War for control of the T’ai region (Northwest territory).
Background Mil ...
, but a subsequent attempt to replicate this at
Dien Bien Phu led to decisive defeat.
Aerial warfare
During World War I the
Central Powers
The Central Powers, also known as the Central Empires,german: Mittelmächte; hu, Központi hatalmak; tr, İttifak Devletleri / ; bg, Централни сили, translit=Tsentralni sili was one of the two main coalitions that fought in ...
became increasingly unable to meet the
Allied Powers in terms of outright number of
fighter aircraft
Fighter aircraft are fixed-wing military aircraft designed primarily for air-to-air combat. In military conflict, the role of fighter aircraft is to establish air superiority of the battlespace. Domination of the airspace above a battlefield ...
. To overcome this shortcoming rather than deploying their fighters uniformly along the fronts, the Germans concentrated their fighters into large mobile Jagdgeschwader formations, the most famous of which was
Manfred von Richthofen
Manfred Albrecht Freiherr von Richthofen (; 2 May 1892 – 21 April 1918), known in English as Baron von Richthofen or the Red Baron, was a fighter pilot with the German Air Force during World War I. He is considered the ace-of-aces of ...
's
Flying Circus
Barnstorming was a form of entertainment in which stunt pilots performed tricks individually or in groups that were called flying circuses. Devised to "impress people with the skill of pilots and the sturdiness of planes," it became popular in t ...
, that could be moved rapidly and unexpectedly to different points along the front. This allowed them to create a ''local superiority'' in numbers, that could achieve
air supremacy
Aerial supremacy (also air superiority) is the degree to which a side in a conflict holds control of air power over opposing forces. There are levels of control of the air in aerial warfare. Control of the air is the aerial equivalent of com ...
in a local area in support of ground operations or just to destroy Allied fighters in the overall strategy of
attrition
Attrition may refer to
*Attrition warfare, the military strategy of wearing down the enemy by continual losses in personnel and material
**War of Attrition, fought between Egypt and Israel from 1968 to 1970
**War of attrition (game), a model of agg ...
.
Similarly the Second World War
Big Wing
The Big Wing, also known as a Balbo, was an air fighting tactic proposed during the Battle of Britain by 12 Group commander Air Vice-Marshal Trafford Leigh-Mallory and Acting Squadron Leader Douglas Bader. In essence, the tactic involved meeting ...
was one tactic that was evolved to cause maximum damage to the enemy with the minimum of casualties.
Blitzkrieg
Modern
armour warfare doctrine was developed and established during the run up to World War II. A fundamental key to conventional Warfare is the concentration of force at a particular point (the
erSchwerpunkt). Concentration of force increases the chance of victory in a particular engagement. Correctly chosen and exploited, victory in a given engagement or a chain of small engagements is often sufficient to win the battle.
Defence of France 1944
The
Nazi
Nazism ( ; german: Nazismus), the common name in English for National Socialism (german: Nationalsozialismus, ), is the far-right totalitarian political ideology and practices associated with Adolf Hitler and the Nazi Party (NSDAP) in ...
defence of France in 1944 could have followed one of the two models offered in the hypothetical example. The first was to distribute the available forces along the
Atlantic Wall
The Atlantic Wall (german: link=no, Atlantikwall) was an extensive system of coastal defences and fortifications built by Nazi Germany between 1942 and 1944 along the coast of continental Europe and Scandinavia as a defence against an anticip ...
and throw the invading
Allies
An alliance is a relationship among people, groups, or states that have joined together for mutual benefit or to achieve some common purpose, whether or not explicit agreement has been worked out among them. Members of an alliance are called ...
back into the sea where and when they landed. The second was to keep the German
Panzer
This article deals with the tanks (german: panzer) serving in the German Army (''Deutsches Heer'') throughout history, such as the World War I tanks of the Imperial German Army, the interwar and World War II tanks of the Nazi German Wehrmacht, ...
s concentrated and well away from the beaches. Territory could then be conceded to draw the invasion force away from their
lodgement areas from which it would be nipped off by the cutting of their supply lines and then defeated in detail. The superiority of concentrated forces using
maneuver warfare
Maneuver warfare, or manoeuvre warfare, is a military strategy which seeks to shatter the enemy's overall
cohesion and will to fight.
Background
Maneuver warfare, the use of initiative, originality and the unexpected, combined with a rut ...
in the hypothetical example carried the proviso of "all other things being equal"; by 1944 things were far from being equal.
With Allied
air superiority
Aerial supremacy (also air superiority) is the degree to which a side in a conflict holds control of air power over opposing forces. There are levels of control of the air in aerial warfare. Control of the air is the aerial equivalent of c ...
not only were major force concentrations vulnerable to tactical and heavy
bomber
A bomber is a military combat aircraft designed to attack ground and naval targets by dropping air-to-ground weaponry (such as bombs), launching aerial torpedo, torpedoes, or deploying air-launched cruise missiles. The first use of bombs dropped ...
s themselves, but so were the vital assets—bridges, marshalling yards, fuel depots, etc.—needed to give them mobility. As it was in this case, the blitzkrieg solution was the worst of both worlds, neither being far enough forward to maximise the use of their defensive fortifications, nor far enough away and concentrated to give it room to manoeuvre.
Similarly, for the Japanese in the final stages of the
Island hopping
Leapfrogging, also known as island hopping, was a military strategy employed by the Allies in the Pacific War against the Empire of Japan during World War II.
The key idea is to bypass heavily fortified enemy islands instead of trying to captu ...
campaign of the
Pacific War
The Pacific War, sometimes called the Asia–Pacific War, was the theater of World War II that was fought in Asia, the Pacific Ocean, the Indian Ocean, and Oceania. It was geographically the largest theater of the war, including the vast ...
, with Allied naval and air superiority and non-existent room to manoeuvre, neither a water's edge defensive strategy nor a holding back and counterattacking strategy could succeed.
Cold War and beyond
For much of the
Cold War
The Cold War is a term commonly used to refer to a period of geopolitical tension between the United States and the Soviet Union and their respective allies, the Western Bloc and the Eastern Bloc. The term '' cold war'' is used because the ...
, to combat the overwhelming Soviet supremacy in armour and men,
NATO
The North Atlantic Treaty Organization (NATO, ; french: Organisation du traité de l'Atlantique nord, ), also called the North Atlantic Alliance, is an intergovernmental military alliance between 30 member states – 28 European and two No ...
planned to use much of
West German
West Germany is the colloquial term used to indicate the Federal Republic of Germany (FRG; german: Bundesrepublik Deutschland , BRD) between its formation on 23 May 1949 and the German reunification through the accession of East Germany on 3 O ...
territory as a
flood plain
A floodplain or flood plain or bottomlands is an area of land adjacent to a river which stretches from the banks of its channel to the base of the enclosing valley walls, and which experiences flooding during periods of high discharge.Goudi ...
in a
defence in depth
Defence in depth (also known as deep defence or elastic defence) is a military strategy that seeks to delay rather than prevent the advance of an attacker, buying time and causing additional casualties by yielding space. Rather than defeating ...
to absorb and disperse the momentum of a massed Soviet attack. Mobile anti-tank teams and counterattacking NATO armies would seek to cut off the leading Soviet echelons from their supporting echelons and then reduce the isolated elements with superior air power and conventional munitions, and if this failed, with
nuclear munitions.
In an effort to avoid the use of nuclear munitions in an otherwise conventional war, the US invested heavily in a family of technologies it called "
Assault Breaker", the two parts of these programmes were an enhanced realtime
capability, and the second part a series of stand off
precision guided
A precision-guided munition (PGM, smart weapon, smart munition, smart bomb) is a guided munition intended to precisely hit a specific target, to minimize collateral damage and increase lethality against intended targets. During the First Gul ...
air-launched and
artillery
Artillery is a class of heavy military ranged weapons that launch munitions far beyond the range and power of infantry firearms. Early artillery development focused on the ability to breach defensive walls and fortifications during siege ...
weapon systems, such as the
MLRS
A multiple rocket launcher (MRL) or multiple launch rocket system (MLRS) is a type of rocket artillery system that contains multiple launchers which are fixed to a single platform, and shoots its rocket ordnance in a fashion similar to a voll ...
,
ICMs,
M712 Copperhead
The M712 Copperhead is a 155 mm caliber cannon-launched guided projectile. It is
a fin-stabilized, terminally laser guided, explosive shell intended to engage hard point targets such as tanks, self-propelled howitzers or other high-value targe ...
, and the
BLU-108
The BLU-108 is an air-delivered submunition, containing four further smart "Skeet" warheads. The system is manufactured by Textron Systems Weapon & Sensor Systems since 1992. The BLU-108 is released from a munitions dispenser, with a parachute be ...
submunition. Against such weapons massed concentrations of armour and troops would no longer be a virtue but a liability. From the mid eighties and onward a much greater level of
force dispersal
Force dispersal is the practice of spreading out soldiers and vehicles in an army. It is used to minimize the effects of collateral damage, such as from bombs and artillery, and increases the number of artillery rounds needed to neutralize or dest ...
became desirable rather than concentration.
See also
*
Blitzkrieg
Blitzkrieg ( , ; from 'lightning' + 'war') is a word used to describe a surprise attack using a rapid, overwhelming force concentration that may consist of armored and motorized or mechanized infantry formations, together with close air su ...
*
Shock and awe
Shock and awe (technically known as rapid dominance) is a military strategy based on the use of overwhelming power and spectacular displays of force to paralyze the enemy's perception of the battlefield and destroy their will to fight. Though ...
*
Schlieffen Plan
The Schlieffen Plan (german: Schlieffen-Plan, ) is a name given after the First World War to German war plans, due to the influence of Field Marshal Alfred von Schlieffen and his thinking on an invasion of France and Belgium, which began on 4 ...
*
Force dispersal
Force dispersal is the practice of spreading out soldiers and vehicles in an army. It is used to minimize the effects of collateral damage, such as from bombs and artillery, and increases the number of artillery rounds needed to neutralize or dest ...
*
Human wave attack
The human wave attack, also known as the human sea attack, is an offensive infantry tactic in which an attacker conducts an unprotected frontal assault with densely concentrated infantry formations against the enemy line, intended to overrun and ...
*
List of military tactics
This article contains a list of military tactics.
The meaning of the phrase is context sensitive, and has varied over time, like the difference between "strategy" and "tactics".
General
* Exploiting prevailing weather – the tactical use of ...
*
Saturation patrol
A saturation patrol is a police or military patrol tactic wherein a large number of officers are concentrated into a small geographic area.
*
Blotto games
A Colonel Blotto game is a type of two-person constant-sum game in which the players (officers) are tasked to simultaneously distribute limited resources over several objects (battlefields).
In the classic version of the game, the player devoting ...
References
Sources
*
Carl von Clausewitz
Carl Philipp Gottfried (or Gottlieb) von Clausewitz (; 1 June 1780 – 16 November 1831) was a Prussian general and military theorist who stressed the "moral", in modern terms meaning psychological, and political aspects of waging war. His mos ...
, ''
On War
''Vom Kriege'' () is a book on war and military strategy by Prussian general Carl von Clausewitz (1780–1831), written mostly after the Napoleonic wars, between 1816 and 1830, and published posthumously by his wife Marie von Brühl in 1832. I ...
''
online version available especially Book 3, Chapter VIII ("Superiority of Numbers"), and Chapter XI ("Assembly of Forces in Space").
*
Dunnigan, James F. ''How To Make War'', 2003, HarperCollins Publishers, New York.
{{DEFAULTSORT:Force Concentration
Military doctrines
Military tactics