Mystics & Statistics

A blog on quantitative historical analysis hosted by The Dupuy Institute

Hockey Play-off Games 6 & 7

I was watching the first round of the Stanley Cup play-offs tonight (Capitals versus Maple Leafs) and they posted a stat that when the seven-game play-off rounds are scored three won games to two, then the leading team wins 78% of the time.

This really is not all that surprising. To win four games out of the seven, the team trailing must win the next two games. If the two teams were even in ability, then the odds of trailing team winning both games would be 0.50 (50 percent) times 0.50 or 0.25 (25%). So if the score is 3-2 and both teams were equal in ability, then the odds the leading team will win the play-off round is 75%. This is not that far from the 78% they quoted. To get to the 78% they quoted, then the difference in winning ability between the teams would be very slight, 53% for the leading team vice 47% for the trailing team.

Not sure how this translates into anything useful, but at least the Capitals won the fifth game.

Economics of Warfare 13-2

Continuing the examination today of the thirteenth lecture from Professor Michael Spagat’s Economics of Warfare course that he gives at Royal Holloway University. It is posted on his blog Wars, Numbers and Human Losses at: https://mikespagat.wordpress.com/

My last post didn’t get past his second page as I ended up pontificating about his two rather significant statements on data. They were:

  1. To get anywhere with empirical research you need to have a reasonably large number of data points. (This is a basic fact about empirical analysis that many students beginning research projects overlook)
  2. So we need to ask ourselves — where are all of these data points going to come from?

The lecture then looks in depth at one country: Colombia. He ends up looking at a paper that measured “commodity prices” compared to civil intensity. They looked at two issues 1) Do higher wages reduce conflict in coffee-growing municipalities (as measured by increased prices in coffee) and 2) does wealth attract violence from armed groups (as measure by oil prices in those municipalities that have oil).  Anyhow, they do find higher levels of violence in coffee growing regions compared to other regions during the time when international coffee prices fell. It also indicated that increases in oil prices did lead to some higher levels of violence for the paramilitaries in Colombia, but these effects were not very large. The rather interesting conclusion (slide 18) is “Dube and Vargas [the study authors] calculate that the fall in coffee prices between 1997 and 2003 translates into an additional 1013 deaths in coffee growing areas….”

Hmm…..I wonder if any of this could apply to growing opium poppies in Afghanistan?

Anyhow, still not finished with this particular lecture, and will pick up discussing the rest of it later. The link to the lecture is here: http://personal.rhul.ac.uk/uhte/014/Economics%20of%20Warfare/Lecture%2013.pdf

Cartography And The Great War

Detail of “Die Schiffsversenkungen Unserer U-Boote.” Carl Flemming (Firm), 1918. [Geography and Map Division, Library of Congress.]

There is no denying it: maps are cool. National Geographic’s All Over The Map blog has another cool story about advances in cartography during the First World War. Greg Miller summarizes some new work by Ryan Moore, a specialist in the Geography and Map Division of the Library of Congress. Moore recently updated a 2014 publication of his, “Maps of the First World War: An Illustrated Essay and List of Select Maps in The Library of Congress.”

Moore’s paper and accompanying blog posts cover aspects of military cartography from mapping enemy trench lines, layouts of minefields, naval blockade zones, interpreting aerial photography, and more. The information is interesting and the maps are fascinating. Take a look.

Economics of Warfare 13 – 1

Hope you all have your taxes done….speaking of economics. Anyhow, picking back up on the Economics of Warfare posts by Dr. Spagat. The good news is that these blog posts by me apparently inspired (read: forced) Dr. Spagat to post all 20 of his excellent Economics of Warfare course lectures on his blog.

Starting an examination today of the thirteenth lecture from Professor Michael Spagat’s Economics of Warfare course that he gives at Royal Holloway University. It is posted on his blog Wars, Numbers and Human Losses at: https://mikespagat.wordpress.com/

The lecture looks in depth at one country, Colombia. Dr. Spagat has done a lot of work there, and even helped set up a non-profit to analyze the Colombian civil wars. These have been the bloodiest series of conflicts in the western hemisphere in the period after World War II. It was through his work on Colombia, and our related work on insurgencies, that we first became acquainted.

Slide two of his lecture starts with the statement that: “To get anywhere with empirical research you need to have a reasonably large number of data points. (This is a basic fact about empirical analysis that many students beginning research projects overlook)”

Actually, it is a basic fact that many in the Army and Defense operations research community overlook!!! I remember getting into discussion with a senior OR practitioner, a retired corporate president who once shared an office with Geroge Kimball of Morse and Kimball fame (Methods of Operations Research, 1951), who tried to make the argument that all you need to 15 good data points. This was at the time we were doing the Bosnia Casualty estimate (see America’s Modern Wars, Appendix II). Needless to say, I strongly disagreed, especially as we were looking at “social science” type data.

The next line in Dr. Spagat’s presentation is: “So we need to ask ourselves — where are all of these data points going to come from?”

This is the issue, and quite simply, the gap that The Dupuy Institute has attempted to fill. For example, Dorothy Clark’s seminal study on Breakpoints (Force Changes to Posture) was based upon only 43 cases [Dorothy K. Clark, Casualties as a Measure of the Loss of Combat Effectiveness of an Infantry Battalion (Operations Research Office, Johns Hopkins University, 1954]. This is not a lot of data points, which of course, she understood. But, producing “data points” requires research, which takes time and money. There are some existing databases publically available that can help with some problems, but for many problems, there is simply not enough data points assembled for any meaningful analysis. There does not seem to be the mechanism in place to make sure that the Army or DOD has the data that it needs for all of its analytical work.

After starting page 2 with two rather significant statements, Dr. Spagat then goes into discussing Colombia in more depth. I will pick this up in a post tomorrow, as this blog post has already gotten long (and preachy).

The link to the lecture is here: http://personal.rhul.ac.uk/uhte/014/Economics%20of%20Warfare/Lecture%2013.pdf

The U.S. Navy and U.S. Air Force Debate Future Air Superiority

F-35C of Strike Fighter Squadron 101 (VFA-101) flies in formation with a Boeing F/A-18F Super Hornet of VFA-122 near Eglin Air Force Base, Florida (USA) on 22 June 2013. (USAF via Wikimedia)

The U.S. Navy (USN) and U.S. Air Force (USAF) are concerned about the ability to achieve and retain air superiority in future conflicts. In 2008, with the F-35 program underway, the USN issued a new requirement for an air superiority platform, the F/A-XX. The USAF, looking at its small fleet of F-22 Raptors–187 total, 125 combat-ready–and the status of the F-35 program, kicked off its own F-X program or Next-Generation Air Dominance (NGAD) in 2012.

In 2015, Frank Kendall, the Pentagon’s “acquisition czar” combined these two programs into Penetrating Counter-Air (PCA) to be run by the Defense Advanced Research Projects Agency (DARPA). This means that some basic requirements will need to be agreed upon, such as stealth or low-observable characteristics. The USN and USAF have some differing viewpoints on this particular topic.

USAF Air Combat Command (ACC) chief Gen. Herbert “Hawk” Carlisle says stealth will be “incredibly important” for the F-X aircraft that the USAF is pursuing as an eventual F-22 replacement. This viewpoint is reinforced by statements that the USAF’s fourth-generation fighters, F-14, F-15, F-16, and F-18, are “obsolete” even after upgrade, and “they simply will not survive” against the threats of the future, such as anti-access/area-denial (A2/AD) capabilities.

Meanwhile, USN Chief of Naval Operations Adm. Jonathan Greenert, has said that “stealth may be over-rated.” In a speech at the Office of Naval Research Naval Future Force Science and Technology Expo in Washington, D.C., Greenert said “I don’t want to necessarily say that it’s over, but let’s face it, if something moves fast through the air and disrupts molecules in the air and puts out heat–I don’t care how cool the engine can be–it’s going to be detectable.”

Aviation Week detailed these advances in counter-stealth capability, including both radars and Infra-Red Search and Track (IRST):

U.S. Air Force is the latest convert to the capabilities of IRST. The U.S. Navy’s IRST for the Super Hornet, installed in a modified centerline fuel tank, was approved for low-rate initial production in February, following 2014 tests of an engineering development model system, and the Block I version is due to reach initial operational capability in fiscal 2018. Block I uses the same Lockheed Martin infrared receiver—optics and front end—as is used on F-15Ks in Korea and F-15SGs in Singapore. This subsystem is, in turn, derived from the IRST that was designed in the 1980s for the F-14D. 

While the Pentagon’s director of operational test and engineering criticized the Navy system’s track quality, it has clearly impressed the Air Force enough to overcome its long lack of interest in IRST. The Air Force has also gained experience via its F-16 Aggressor units, which have been flying with IRST pods since 2013. The Navy plans to acquire only 60 Block I sensors, followed by 110 Block II systems with a new front end.

The bulk of Western IRST experience is held by Selex-ES, which is the lead contractor on the Typhoon’s Pirate IRST and the supplier of the Skyward-G for Gripen. In the past year, Selex has claimed openly that its IRSTs have been able to detect and track low-RCS targets at subsonic speeds, due to skin friction, heat radiating through the skin from the engine, and the exhaust plume.

Are Fourth and Fifth Generation Fighters Comparable?

Then on 21 December 2016, in the middle of this ongoing debate, president-elect Donald Trump tweeted: “Based on the tremendous cost and cost overruns of the Lockheed Martin F-35, I have asked Boeing to price-out a comparable F-18 Super Hornet!”

Many have asked, can an upgrade to a “legacy” fighter like the Super Hornet be comparable to a fifth-generation fighter like the F-35? Some have said that an advanced Super Hornet is an “Impossible Magic Fantasy Jet.” Others flatly state “No, Mr. Trump, You Can’t Replace F-35 With A ‘Comparable’ F-18.” More eloquently stated: “In this modern era of stealth combat, there are two kinds of fighters. Stealth fighters and targets.”

The manufacturers of the two aircraft mentioned in Trump’s tweet have been debating this topic over the past few years. In 2014, Boeing questioned the relative capabilities of the F-35C and the E/F-18G “Growler”, an electronic attack variant of the Super Hornet. “Stealth is perishable; only a Growler provides full spectrum protection.”

Indeed, that same year, Boeing developed an Advanced Super Hornet. The idea was basically to enclose the weapons that current Super Hornets sling beneath their wings into a low-observable pod and thus bring the overall radar cross section (RCS) i.e. the main metric of stealth, down to a level that would provide some of the penetration capability that a fifth generation fighter enjoys.

F/A-18 XT Block III Advanced Super Hornet [GlobalSecurity.org]

The current version of the advanced Super Hornet has “matured” after additional conversation with their primary customer, and low-observability has taken a less important role than range, payload, and battle-network capability. Indeed, Mr. Trump responded “We are looking seriously at a big order.”

For the USN, the F-35 seems to have evolved from a strike fighter into a platform for command, control, communications, computers, intelligence, reconnaissance and surveillance (C4ISR). This is an important role to play, undoubtedly, but it may mean fewer F-35Cs on carrier decks, which puts more money back into the pocket of the USN for other purposes.

Boeing’s sixth-generation fighter concept. Notable features are the optionality of the pilot, the lack of visibility from the cockpit which indicates some sort of “distributed aperture system” a la the F-35, and lack of a tail, which might limit air combat maneuverability. [Aviation Week]

Of course, Lockheed is not resting still – they’ve recently demonstrated a manned and unmanned teaming capability, working with the Air Force Research Laboratory.

What both companies and both services state publicly must be taken in the context of politics and business, as they are in constant competition, both with each other and potential opponents. This is a natural way to come up with good concepts, good options, and a good price.

More on autonomous capabilities to follow.

Nuke Counts

Nuke Counts….seeing how weapons of mass destruction are all the rage these days: http://www.businessinsider.com/nuclear-weapons-stockpiles-world-map-2017-4

Note that these numbers are not operational weapons. For example, we don’t think that North Korea has an operational nuke. Their count is based on “bomb-grade material North Korea is likely to have.”

The reliable counts are US, Russia, England, France and to a much lesser extent, China. Israel is an estimate and I have seen claims of 100-200. Usually the lower estimate is more likely to be correct. India and Pakistan figures are way too high. Their operational nukes may not number more than a dozen (if that, for Pakistan). North Korea is most likely 0.

 

Assessing The Battle For Eastern Mosul

Mosul, Iraq (Institute for the Study of War)

Alexander Mello and Michael Knights have published an assessment of the urban combat in eastern Mosul between Iraqi Security Forces, supported by U.S. and other allied forces, and Daesh fighters.

From the abstract:

The Islamic State’s defense of Mosul has provided unique insights into how the group has adapted its style of fighting to dense urban terrain. While the Islamic State failed to mount an effective defense in the rural outskirts and outer edges of Mosul, it did mount a confident defense of the denser inner-city terrain, including innovative pairing of car bombs and drones. The Islamic State continues to demonstrate a strong preference for mobile defensive tactics that allow the movement to seize the tactical initiative, mount counterattacks, and infiltrate the adversary’s rear areas. Yet, while the Islamic State has fought well in Mosul, it has also been out-fought. Islamic State tactics in the final uncleared northwestern quarter of Mosul are becoming more brutal, including far greater use of civilians as human shields.

The article is in the latest edition of the Combating Terrorism Center at West Point’s CTC Sentinel.

Big Bombs

A lot of big bombs have been dropped over the last 70+ years. In World War II, the British dropped 42 of these 22,000 pound bombs: https://en.wikipedia.org/wiki/Grand_Slam_%28bomb%29

It evolved from the 12,000 pound Tallboy, of which 854 were made: https://en.wikipedia.org/wiki/Tallboy_(bomb)

We used some of these, designated at the T-10 in the Korean War (1950-1953). We even had a 13,000 pound guided bomb version of it that was used in Korea: https://en.wikipedia.org/wiki/ASM-A-1_Tarzon

Now re-designated as the M-121, this 10,000 pound version of the bomb was used pretty extensively in Vietnam, usually air dropped by helicopters to create landing zones, often in a “hot” area: https://en.wikipedia.org/wiki/M-121_(bomb)

The BLU-82, or daisy cutter, was a 15,000 pound bomb also used in Vietnam. 225 were built: https://en.wikipedia.org/wiki/M-121_(bomb)

This was replaced by the “Mother of all Bombs,” manufactured in 2003 and weighing in at 21,600 pounds. This is what was used in Afghanistan yesterday: https://en.wikipedia.org/wiki/GBU-43/B_Massive_Ordnance_Air_Blast

The Russians have their own version, only 15,650 pounds: https://en.wikipedia.org/wiki/Father_of_All_Bombs

Anyhow, these weapons have been around for a while, but I think this is the first use of one in combat since Vietnam (please correct me if I am wrong).

 

Classics of Infoporn: Minard’s “Napoleon’s March”

Map from “Cartographies of Time” courtesy of Princeton Architectural Press.

We at the The Dupuy Institute love infoporn, those amazing, information-laden graphics that at once render dense, complex topics instantly understandable to the masses. Wired, Jalopnik, and Gizmodo have tags dedicated to sharing the best examples of it. Wiktionary defines infoporn as “Information which does not serve a purpose other than to hold the attention of its audience; information for information’s sake.” Perhaps so, but we at TDI feel that beauty is in the eye of the beholder.

Betsey Mason, a co-author of National Geographic‘s All Over The Map blog, has a profile of one of the greatest purveyors of infoporn, Charles Minard. Minard created what is considered by many to be the iconic work of information graphics, “Napoleon’s March,” or “the Minard graphic.” Created in 1869, Minard’s map depicts Imperial France’s doomed 1812-13 invasion of Russia. It traces the advance and catastrophic retreat of Napoleon Bonaparte’s Grande Armee, while simultaneously showing its gradually dwindling manpower. At age 88, Minard conveyed an essential understanding of the subject with an imaginative combination of spacial and quantitative information that continues to resonate and astonish nearly a century and a half later.

As Mason writes,

Today Minard is revered in the data-visualization world, commonly mentioned alongside other greats such as John Snow, Florence Nightingale, and William Playfair. But Minard’s legacy has been almost completely dominated by his best-known work. In fact, it may be more accurate to say that Napoleon’s March is his only widely known work. Many fans of the March have likely never even seen the graphic that Minard originally paired it with: a visualization of Hannibal’s famous military campaign in 218 BC, as seen in the image [above].

Go check out the full article and marvel at the power of infoporn.

Syria and Sarin

Interesting article from the British doctor who examined the samples from the chemical attack last week: http://www.cnn.com/2017/04/11/opinions/trump-right-syria-strike-opinion-de-bretton-gordon/

  1. It was Sarin
  2. Sarin used in East Ghouta in August 2013 (up to 1,500 killed)
  3. Chlorine used in Aleppo in December 2016
  4. In October 2013 the Syrian regime declared 1,300 tons of chemicals, but only 16 tons of Mustard gas.
    1. No Sarin was declared