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Even Amorphous Systems Have Centers of Gravity

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Even Amorphous Systems Have Centers of Gravity

Dale C. Eikmeier

Can an amorphous system characterized by low hierarchy, dispersal, and decentralization have a Center of Gravity (CoG)?  I say, “Yes,” because the purpose of the system determines the CoG, not the structure.  However, to many theorists the answer is a resounding no, because the system’s structure is the determinate.  They claim a system must be concentrated and centralized to have a targetable CoG.  Both answers have compelling arguments.  Which is correct depends on one’s conceptual foundation of the CoG concept.  

To the subscribers of Clausewitz’s metaphors, networked systems lack concentration and mass.  Obviously the traditional concept does not work well with these amorphous systems.  However, those who subscribe to systems theory and an objective based CoG concept can easily say, “Yes.”  The answer depends on how you understand and define the CoG.

This article will show how the application of a systems/objective based concept and definition successfully countered a low hierarchical, highly dispersed, and decentralized system that was responsible for millions of deaths.

The “No” Argument

Lawrence Freedman, makes the ‘no’ argument in his 2014 ‘War on the Rocks’ article Stop Looking for the Center of Gravity.  He says,

“In physics, the COG represents the point at which the forces of gravity could be said to converge within an object, where its weight was balanced in all directions. If struck there it would lose balance and fall. One obvious problem was that whereas it might be easy to identify the COG of a solid and static object, it was much harder to do so with a complicated shape made up of moving parts.”[i]

Many posit that useful or targetable CoGs do not exist because modern warfare is increasingly characterized by clashes of resilient, dispersed, and decentralized networked systems, loosely guided by intent.  The often cited examples are insurgencies and terrorist networks that do not form a cohesive and defined mass.  These loosely connected and dispersed systems do not concentrate and present targetable centers of gravity. 

Jeff Becker and Todd Zwolensky reinforce Freedman’s argument saying,

“Freedman rightly points out several nagging concerns that make the idea of center of gravity problematic. Central to this is the challenge of identifying a COG that is at once precise enough at the tactical level to be engaged, yet also comprehensive enough to influence the system as a whole and induce a consequential strategic effect. Additionally, the resilience of groups and states in an increasingly connected, wealthy and adaptable global economic system and new domains, such as cyber and space conspire to further complicate our ability to calculate and strike actual, relevant adversary COGs.”[ii]

They go on to say, “A center of gravity analysis only has value if it can identify an object upon which force can be applied and which will affect the larger system as a whole.”[iii]

The crux of their argument is that Clausewitz’s metaphors of “a dual”, “wrestlers”, and “the hub of power,”[iv] suggest a level of unity and cohesion that does not exist in the modern world. Dr. Antulio Echevarria II, recognized this in his article, ‘Center of Gravity Recommendations for Joint Doctrine’.[v]  He argues for cohesion, connectedness and “focal points where forces come together”.[vi]  He goes on to claim that the CoG concept is only useful when, “…the enemy structure or system is sufficiently connected to be treated as a single body.”[vii]  He concludes by saying, “At a time when an enemy can operate in a decentralized manner globally, certain situations may arise in which the idea [CoG] does not apply and pursuing it will not benefit warfighters.”[viii]

The strength of these ‘No’ arguments are entirely based on an adherence to a Clausewitzian metaphorical foundation.  These arguments essentially claim Clausewitz’s analogies, and the CoG, are no longer relevant because they no longer reflect the complexities of the modern environment.  What if we based the CoG concept on something other than Clausewitz’s metaphors?  Could the concept work in the modern environment?

The “Yes” Argument

Proponents of the ‘yes’ argument freed themselves from Clausewitzian metaphors and proposed a CoG concept, built on systems thinking and an ‘objective’ based definition that works with modern dispersed networked systems.  

Systems thinking is a perspective that views any entity or environment as a functionally related group systems that form the complex whole.  For example, a human body is a complex whole with respiratory, digestive, and circulatory systems.

An ‘objective’ based CoG definition shifts the focus from the metaphorical source or hub of power, to what accomplishes the system’s intended goal or objective.  An objective based definition is, “the CoG is the primary entity that inherently possesses the critical capabilities to achieve the objective.” Since all systems have a purpose or goal, this definition would apply regardless of structure or the level of centralization.

When using the systems/objective CoG concept the first questions is: what is the system’s objective or purpose, sometimes referred to as the ‘ends.’  The second question is, how the system achieves its objective.  The answer to this question identifies the actions, ‘ways’ and capabilities required to achieve the objective.  The last question is, what thing or ‘means’ does the system have or need that can execute the action that achieves the objective.  The answer to this question is the CoG.  The CoG is an entity/object that requires inputs known as ‘critical requirements’ to function and has outputs in the form of actions or ‘critical capabilities’ that achieve the objective.[ix] 

Using the systems/objective CoG, planners can identify any system’s CoG, critical capabilities and critical requirements, regardless of the system’s structure.  Using the critical capabilities and requirements they can then identify critical vulnerabilities to protect (i.e. their own) or exploit (i.e. their adversary’s).[x]

Case Study:  Systems/Objective CoG Used Against a Dispersed and Decentralized System

The following is an actual example how the systems/objective CoG was used against a decentralized system.  The actual system will be identified latter, but here are its main characteristics:

  • No centralized control or leadership,
  • All actors behave in accordance with a few simple rules,
  • Innumerable number of actors, 
  • Globally dispersed.

In this system the Primary Community ‘A’, is a population of likeminded individuals with a shared goal.  They operate independently and only follow simple rules.  Globally they are responsible for the deaths of millions.  Their goal is to expand by converting as many neutrals to supporters as possible.  To do so they require access to Community ‘B’.  However, they do not have direct access to ‘B’ due to physical protective barriers of ‘B’ and their own limitations.  Therefore they infiltrate into ‘B’ through Community ‘C’, which has to access ‘B’.

The purpose of ‘C’s contact with ‘B’ is to obtain required vital resources which ‘B’ provides under duress.  ‘A’ gains access to ‘B’ through the contact with ‘C’ and as a byproduct of that contact, ‘A’ can change neutrals in both ‘B’ and ‘C’ to supporters.  Any contact between a neutral and a supporter in either ‘B’ or ‘C’ can change the neutral to a supporter.

There is no central authority for ‘A’, ‘B’ and ‘C’.  However, ‘B’ is capable of organizing. 


Is there a ‘source of power or a hub of power in this system?’  Not really.  So the traditional Clausewitzian, CoG definition does not apply.  Therefore one can argue creditably that CoGs do not exist in this low hierarchical, dispersed and decentralized system.   However, using the system/objective foundation, we can apply the CoG concept to this system as follows:

  • ‘A’s’ Ends.  (Goal) Convert as many Community B neutrals to supporters as possible.
  • Ways. Infiltrate Community ‘B’ for ‘conversion.’ The critical capability (CC) is to infiltrate.
  • Means. ‘C’ can contact ‘B’ and infiltrate ‘A’ into ‘B’. 
  • ‘C’ is the doer. ‘Only C’ has the critical capability to contact, and infiltrate ‘A’ into ‘B’.
  • ‘C’ is the COG, but it is made up of innumerable, dispersed and un-networked individuals. 

Once the system is understood and the COG and its critical requirements, connections and dependencies with ‘B’ are identified, the next step is deciding how to attack the COG ‘C’.  There are two options, a direct approach or an indirect approach.  Since the COG ‘C’ is a made up of innumerable dispersed individuals acting independently, a direct approach is not practical.  That leaves an indirect approach that focuses on attacking the critical vulnerabilities which are the connections.  The indirect approach that was actually applied to this system had two main efforts; breaking the contact between ‘C’ and ‘B’, and attacking ‘C’s own critical requirements.  

The Highly Dispersed, and Decentralized System

The ‘Primary Community ‘A’ is the Yellow Fever Virus whose goal is to reproduce and expand.  To do so it requires ‘B’, a human or primate host’s, blood system.  However, the virus ‘A’ does not have the capability to directly access the blood itself.  It needs something to transport itself and inject itself into the host’s blood.  The ‘transporter and injector’ is the Ades Aegypti mosquito, ‘C’. So the mosquito is the Yellow Fever Virus’s ‘doer’ - the Center of Gravity.

The mosquito, an innumerable dispersed CoG, has critical requirements (CR), blood for its meals and the ability to pierce the host’s skin are two of the main ones.  Other CRs include the right weather conditions, a mate and access to calm standing water for its offspring to grow. Unfortunately for ‘A’ and the CoG, ‘C’ these CRs are also vulnerable to adverse actions by man, ‘B’ and nature. Thus despite being dispersed and decentralized we can identify critical requirements, “…upon which force can be applied and which will affect the larger system as a whole.”[xi]

Dr. Carlos Finlay, a Cuban Doctor probably never read Clausewitz.  However he understood biological systems, their connections to the environment and what today we call the critical factors of: critical capabilities, critical requirements, and critical vulnerabilities.  Using a systems approach he figured out the mosquito was the Virus’ CoG and helped map out the system.  Major Walter Reed MD confirmed Finlay’s theory as fact.  Major General William Gorgas MD developed ways to attack the mosquito’s critical requirements by draining swamps, fumigation, mosquito netting, and improving public water systems; thus making the environment safe for the construction of the Panama Canal.


As Becker and Zwolensky said, “A center of gravity analysis only has value if it can identify an object upon which force can be applied and which will affect the larger system as a whole.”[xii]  Doctors Finlay, Reed and Gorgas met this test.  Despite the Yellow Fever system’s amorphous structure, they identified the object and applied force which had a significant effect on the larger system.  They applied systems thinking, and while not using the term or understanding the concept, identified a CoG, its capabilities, requirements and vulnerabilities.  They then pioneered an indirect approach to attacking the vulnerabilities of a dispersed, decentralized, and innumerable CoG.  Their successful efforts have saved millions of lives and made large tracts of the globe habitable.  

Given the acknowledged limitations of the Clausewitzian based CoG in the current environment, is it not time to look for a new foundation?  A foundation that applies equally well to centralized and decentralized systems.  As demonstrated by the pioneering doctors in the war against Yellow Fever, the systems/objective based CoG is a strong candidate.      

End Notes

[i] Freedman, Lawrence, “Stop Looking for the Center of Gravity,” War on the Rocks, June 24, 2014

[ii] Becker, Jeff and Zwolensky, Todd, “Go Ahead, Forget Center of Gravity.” War on the Rocks, July 9, 2014

[iii] Ibid.

[iv] Clausewitz, Carl Von, “On War”, Edited and translated by Michael Howard and Peter Paret, Princeton University Press, Princeton New Jersey, 1976.

[v] Echevarria II, Antulio, “Center of Gravity Recommendations for Joint Doctrine,” Joint Forces Quarterly, Issue 35, October 2004.

[vii] Ibid

[viii] ibid

[ix] Department of Defense (DoD) , Joint Publication (JP) Joint Planning, Washington D.C.: U.S. Department of Defense, June 2017: pg. IV-25

[x] Ibid

[xi] Becker, Zwolensky.

[xii] Ibid.


About the Author(s)

Colonel Dale C. Eikmeier retired from the Army after 30 years of service as an air defense artilleryman, joint planner, and strategist. Assignments include duty in Europe, Asia, the Pacific, and the Middle East. Campaigns include Operations Desert Shield, Desert Storm, Enduring Freedom and Iraqi Freedom. He has taught at the School of Advanced Military Studies, the US Army War College, and the Army Command and General Staff College. He holds a Masters in Military Arts and Sciences, a Masters in Management and a Bachelor of Arts in Political Science.


Bill C.

Wed, 05/22/2019 - 11:19am

So, to continue the example I provide in my initial comment below -- of shall we say the current "modernization" movements versus the current "anti-modernization" movements -- let us look at these, and another example, by way of the following quote from our article above:

"In this system the Primary Community ‘A’, is a population of like-minded individuals with a shared goal.  They operate independently and only follow simple rules.  Globally they are responsible for the deaths of millions.  Their goal is to expand by converting as many neutrals to supporters as possible.  To do so they require access to Community ‘B’.  However, they do not have direct access to ‘B’ due to physical protective barriers of ‘B’ and their own limitations.  Therefore they infiltrate into ‘B’ through Community ‘C’, which has to access ‘B’. 

As can be seen from the quoted item immediately above:

a.  My example of the current "modernization" versus current "anti-modernization" movements (see my initial comment below) and

b.  The Primary Community "A" versus Primary Community "B" movements noted our article above; these seem to resemble (in that they all seem to be "belief"-based movements which require the pursuit of "favorable" conversions," both within their own states and societies and those of the outside world, and the prevention of "unfavorable" conversions, within these exact same locales)

c.  The "market-democracy" movements versus "communist" movements of the Old Cold War?

"The United States and the Soviet Union face each other not only as two great powers which in the traditional ways compete for advantage. They also face each other as the fountainheads of two hostile and incompatible ideologies, systems of government and ways of life, each trying to expand the reach of its respective political values and institutions and to prevent the expansion of the other. Thus the cold war has not only been a conflict between two world powers but also a contest between two secular religions. And like the religious wars of the seventeenth century, the war between communism and democracy does not respect national boundaries. It finds enemies and allies in all countries, opposing the one and supporting the other regardless of the niceties of international law."

(See Morgenthau's "To Intervene or Not to Intervene") 

(Note:  From the perspective I provide above, significantly important Community "B" personnel can reside both within one's own country, and in locations outside of one's country and far away as well.)

Bottom Line Thought -- Based on the Above:

Based on the observations and suggestions I have made here: 

a.  What might we say was the "Center of Gravity" of ourselves -- and of our communist opponents -- in the Old Cold War?  And:

b.  How (if in any way) might this such understanding help us with our problems today?

Bill C.

Tue, 05/21/2019 - 12:11pm

From our article above:

"Can an amorphous system characterized by low hierarchy, dispersal, and decentralization have a Center of Gravity (CoG)?"

Let's look at this based on what we are seeing in the world today.  Herein, we will specifically be looking at: 

a.  The movement, by the world's global elite, to alter the ways of life, the ways of governance, the values, etc., of the populations of both the Global North and the Global South; this, so as to better provide for -- and better benefit from -- such things as globalism, globalization and the global economy.  And:

b.  The counter-movements, by the populations of both the Global North and the Global South; these, to (a) prevent these such unwanted "changes" from taking place and/or to (b) cause a return to the status quo ante -- this, if too much unwanted political, economic, social and/or value "change" is thought to have already taken place.  (In this latter "return to a status quo ante" regard, consider, for example, such things the similarity, and the similar appeal, of the "Caliphate" and the "Make America Great Again" movements?)

In this regard, let us note that the global elite over time, and often by way of their "pro-change" nation-state governments, have attempted to alter (and in some cases have succeeded in altering) the way of life, the way of governance, the values, etc.

a.  Of parts of the Global South (think, for example, of such things as "girls schools" in the Greater Middle East?) and

b. Of parts of the Global North (think, for example, of such things as the legalization of abortion in the U.S. in the early 1970s?).   

(BOTH of these such "change" efforts -- by the world's global elite -- are now being vigorously contested; for example, and respectively, by the more-conservative "Caliphate" movement in the Global South, and by the more-conservative "Make America Great Again" movement in the Global North?)

Bottom Line Question:

Based on the information and examples I have provided above, could we say that: 

a.  As relates to "an amorphous system characterized by low heirarchy, dispersal, and decentralization"

b.  Either (or indeed both) of the "movements" I identified above (see my initial "a" and "b"); these would qualify/would meet this such criteria? 

(If such is the case, then wherein lies either -- or indeed both -- of these such "movements" "center[s] of gravity?")