A reader ArtD0dger of the blog Iberian Notes, in response to a listing of numerous popular myths, including the one “that electric power lines give off radiation,” in this article (mostly involving a discussion of the capture of Al-Qaeda suspects in Spain, worth reading in its own right), has posted this reply in the blog:

Actually, electric power lines do give off radiation.  In a 60 Hz a.c. line, electrons are being accelerated back and forth at 60 Hz, so they emit electromagnetic radiation at 60 Hz frequency.  This radiation is composed of quanta each having less than a millionth of a millionth as much energy as light photons, and hence having less than a millionth of a millionth as much effect on matter as light.

ArtD0dger's explanation, while correct as far as it goes, does not accomplish its apparent goal of demonstrating that power-line radiation is too weak (“having less than a millionth of a millionth as much effect on matter as light”) to affect people.  This is because even very unenergetic photons can still convey sizable amounts of energy, if there are enough of them!  (Thus, microwaves cook very well despite each individual photon being much less energetic than those of visible light.)

The real reason why radiation off of power lines is incapable of affecting human beings is due to the principle of physics that electromagnetic radiation (“light”) can be “received” by (i.e., can interact with or have a physical influence on) only objects whose size is a substantial fraction of the wavelength of the light (i.e., the “size” of the photons).  The wavelength of 60 Hz radiation is 300,000 km/sec. (186,000 miles/second: the speed of light), divided by 60 Hz (which has units of “per second”), or 5,000 km.  This is about the diameter of the largest moons in the Solar System, Ganymede and Titan; Earth's Moon is a bit less than 3,500 km across.  Thus, it's very unlikely that any individual human has been affected by electromagnetic radiation emanating from power lines.

This does not imply that there can be no effects from the magnetic and electric fields surrounding the immediate vicinity of power lines — though such fields fall off with distance far more rapidly than the inverse-square law that radiation obeys, and diligent medical research has failed to find such effects on human beings.  Indeed, your kitchen toaster emits stronger fields in close proximity to people than power lines tens of meters up in the air are capable of.  Speaking specifically of 60 Hz electromagnetic radiation emitted from power lines, however, such radiation cannot possibly affect anything smaller than continent or Moon size in scale.

(Thanks to Instapundit for the link.)

Wouldn't you know it, but no sooner had Eugene Volokh of the Volokh Conspiracy linked to Impearls' table of the “largest economies of the world,” (which might be titled as above, by the way) — and just after a couple of interesting comments arrived — our Internet connection/phone line went down for two days!

In the meantime, Eugene posted a couple of updates to his initial posting, here and here (or just scroll up).  In his first post, Volokh wrote:

Impearls has a really cool table, drawn from multiple sources; I can't vouch for the accuracy, but it seems right, and very interesting.  It also points out some interesting controversies about the actual sizes of various economies, especially China's and India's — the CIA Factbook seems to give a different result from the one that Impearls says is generally accepted by economists.

Oh, and according to one source that Impearls cites as being quite reliable, Los Angeles County's GDP is right above the 16th largest national GDP — which is Russia, the main heir of the nation from which my family moved to L.A. County.

Russia is another of those countries whose CIA Factbook-stated GDP differs substantially (by a factor of four in this case) from that generally used by economists.  As we now know (see below), this is due to the “Purchasing Power Parity” [PPP] index that the CIA uses rather than exchange rates for its GDP estimations.  According to the CIA Factbook PPP-derived figure, Russia's GDP ($1.2 trillion US$) actually lies up near that of California (taken as a whole) or countries like Brazil and Italy.  Taking LAEDC's (Los Angeles Economic Development Corporation) more conventional (exchange rate) GDP figure for Russia, on the other hand ($310 billion US$), Russia's economic output hovers near that of nations on the scale of Taiwan and the Netherlands — nations small in geographical extent, and relatively small in population as well.

The latter GDP figure for Russia, in fact, lies on a par with U.S. states Massachusetts and New Jersey.  It's worthy of note, I think, that these two American states are just about the same size (around 20,000 km²) as what has been called “that sh--ty little country” (sorry! I disavow it!), Israel.  Massachusetts, in particular, is a virtual twin of Israel in area and population.  (Israel itself doesn't show up in the top economies table as its GDP — by the Factbook, $119 billion US$ in 2001 — places it below the table's $200 billion cut-off.)

My point, which just reinforces what Eugene was saying above, is that a country need not be large in area, nor very large in population, to have a vibrant, influential economy; and even without a productive economy, a small country can potentially (especially in these days of weapons of mass destruction) have an effective and dangerous military.  Thus, with an (exchange rate) economy no larger than that of the Netherlands or the state of New Jersey, Russia still fields thousands of nuclear weapons.  Iraq, with a much smaller economy, still constricted by UN sanctions ($59 billion US$ in 2001, according to the CIA Factbook), is attempting to do less, but still enough to potentially kill millions of human beings.  Note that North Korea manages an effective WMD program with an economy ($21.8 billion US$ in 2001) less than half the size of Iraq's present one.

Some of the impetus behind thoughtless and bigoted comments like the “sh--ty little” one results, I think, from a well known phenomenon in mental affairs, “Out of sight, out of mind.”  Countries the size of Israel are almost lost (say) on your average desktop globe; the tiny scale constricts visibility, and people tend to evict unseeable things from their minds as too trivial to be of concern.  This is a severe conceptualizing error.  “Small” nations (or states) need not be small in their consequences for the present or future.  (As an example, see Alexis de Tocqueville on the origins of American democracy in the little state of Connecticut and its neighbors, here.)

Interesting comments have come in from readers following the link from the Volokh Conspiracy.  I'd suspected the Conspiracy's high-powered readership would give my problem short shrift once it chanced being brought to their attention!

A writer from the U.S. Census Bureau (who also cc'ed Eugene in his reply) clears up the mystery:

Interesting post about international GDPs.  I thought I'd email to let you know that the difference between the CIA's numbers and LAEDC's isn't really so mysterious.

The reason the CIA figures differ from the LAEDC's, is that the CIA is converting from foreign currency to dollars using a “Purchasing Power Parity” (PPP) index, while the LAEDC is using exchange rates.  That's also the reason why the LAEDC and the CIA report the same numbers for the U.S.: because there's no need to convert U.S. GDP from a foreign currency into dollars.

For most purposes, the PPP numbers are preferable, so the CIA is reporting better numbers.  Two problems with exchange rates are that they are set by government fiat in some countries, and that they only reflect the price of tradeable goods.  But most of GDP isn't tradeable, for example, housing and cardiac surgery.  PPP numbers are an attempt to calculate the price of all goods in a country relative to U.S. prices.  If your goal is to use GDP per capita to compare the standard of living in different countries, the PPP numbers are the ones to use.  The exchange rate GDP numbers tell you how much the country could import (assuming the exchange rate is set by the market, anyway), but that's not a figure that I see any particular use for.

If you want to see the PPP and exchange rate numbers side by side on the same page, the World Bank has a table on the web:  [here].

Another reader commented along similar lines, but is worth quoting too for his slightly different information/slant on things:

Well, the explanation for the difference is that the CIA uses PPP-adjusted figures, while the OECD figures are based on official currency exchange rates.  In countries with relatively free movements of capital and goods, these would mostly be the same, but in many developing countries there is a substantial difference.  (So, for example, food and housing is a lot cheaper in dollar terms in Dehli than in LA.)  In places with substantial differences, there is likely to be a big black market in foreign currency.

PPP is Purchasing Power Parity, that is, adjusting the exchange rates according to what good actually cost in the country.

Which one matters more?  Hard to say.  If you're living in the country and looking at quality of life, then PPP matters more, since that mostly determines your standard of living.  If you're investing in a country, building a factory, exporting, or importing (legally), etc., then exchange rate matters, since that's what you pay and get paid to get goods and capital and equipment in and out.

The ratio of the PPP and exchange rate figures is usually about the exchange rate of the black market.

Once you look at OECD's PPP-adjusted figures, there is no discrepancy, so the CIA isn't measuring any underground economy (which by definition isn't measured).

CIA's explanation: [here] (see section on GDP methodology).

OECD figures: [here] (Compare GDP figures, PPP and exchange rate for Mexico, for instance).

I find this encouraging.  Since noticing the discrepancy between the CIA's and economists' GDPs, I'd carried something of a cloud in my mind about the reliability/usability of the CIA's GDP figures.  Now that we understand where it's coming from, they do seem to be relatively solid and usable data.  (The World Bank table cited by the first reader above is also very much worth locating; I'd been looking for a table like that!)

Ultimately, I agree with Eugene — this sort of table does provide a very interesting vehicle for comparison between the states and nations of the world.  Who says economics is the “dismal science”?

UPDATE:  2003-02-04 18:00 UT:  This entire table has been updated and republished here.
 

To bring Impearls' earlier article on California's place in the world's economies up to date, following is an updated table, based on the CIA's recently released 2002 World Factbook, of all the world's economies (including U.S. states amongst the nations) having GDPs, during 2001, in excess of $200 billion U.S. dollars. 
 

Rank		State	Area (km2)	Pop. 2002-07 (106) CIA 2002 Factbook			2001 GDP (1012 US$) CIA 2002 Factbook			2001 GDP (LAEDC)
1		United States	9,629,091	280.562,489				10.082			10.082
2		China	9,596,960	1,284.303,705				5.56			1.159
3		Japan	377,835	126.974,628				3.45			4.141
4		India	3,287,590	1,045.845,226				2.5			0.481
5		Germany	356,973	83.251,851				2.174			1.846
6		France	547,030	59.765,983				1.51			1.310
7		United Kingdom	244,820	59.778,002				1.47			1.424
8		Italy	301,230	57.715,625				1.402			1.089
9		California	411,049	34.501,130		†		1.344,623	‡		1.309
10		Brazil	8,511,965	176.029,560				1.34			0.504
11		Russia	17,075,200	144.978,573				1.2			0.310
12		Mexico	1,972,550	103.400,165				0.920			0.618
13		Canada	9,976,140	31.902,268				0.875			0.694
14		South Korea	98,480	48.324				0.865			0.422
15		New York	127,190	19.011,378		†		0.799,202	‡
16		Spain	504,782	40.077,100				0.757			0.582
17		Texas	691,030	21.325,018		†		0.742,274	‡
18		Indonesia	1,919,440	231.328,092				0.687
19		Florida	151,939	16.396,515		†		0.472,105	‡
20		Illinois	145,934	12.482,301		†		0.467,284	‡
21		Australia	7,686,850	19.546,792				0.465,9			0.357
22		Argentina	2,766,890	37.812,817				0.453			0.269
23		Turkey	780,580	67.308,928				0.443
24		Iran	1,648,000	66.622,704				0.426
25		Netherlands	41,532	16.067,754				0.413			0.380
26		South Africa	1,219,912	43.647,658				0.412
27		Thailand	514,000	62.354,402				0.410
28		Pennsylvania	117,348	12.287,150		†		0.403,985	‡
29		Taiwan	36,000	22.548,009				0.386			0.282
30		Ohio	107,044	11.373,541		†		0.372,640	‡
31		New Jersey	20,168	8.484,431		†		0.363,089	‡
32		Poland	312,685	38.625,478				0.339,6
33		Philippines	300,000	84.525,639				0.335
34		Michigan	151,586	9.990,817		†		0.325,384	‡
35		Pakistan	803,940	147.663,429				0.299
36		Georgia	152,576	8.383,915		†		0.296,142	‡
37		Massachusetts	21,456	6.379,304		†		0.284,934	‡
38		North Carolina	136,412	8.186,268		†		0.281,741	‡
39		Belgium	30,528	10.274,595				0.267,7			0.230
40		Virginia	105,586	7.187,734		†		0.261,355	‡
41		Egypt	1,001,450	70.712,345				0.258
42		Colombia	1,138,910	41.008,227				0.255
43		Saudi Arabia	1,960,582	23.513,330				0.241
44		Bangladesh	143,998	133.376,684				0.230
45		Switzerland	41,290	7.301,994				0.226			0.247
46		Austria	83,858	8.169,929				0.220
47		Washington	176,479	5.987,973		†		0.219,937	‡
48		Sweden	449,964	8.876,744				0.219			0.210
49		Ukraine	603,700	48.396,470				0.205
50		Malaysia	329,750	22.662,365				0.200

 

Key to the table.  Population figures for the nations were obtained from CIA 2002 World Factbook national population estimates with regard to July 2002 (2002-07).  The first “2001 GDP” column's data was obtained from 2002 World Factbook national GDP estimates for the year 2001.  The next “2001 GDP” column data was obtained (for nations and the state of California) from the Los Angeles Economic Development Corporation (LAEDC), who derived it from OECD and IMF figures.  See this link for LAEDC economist George Huang's letter describing LAEDC's procedure, and this for their table laying out the results.  According to LAEDC's Huang, these figures are what economists generally accept.

Neither the U.S. Census Bureau nor Bureau of Economic Analysis have yet released year 2001 population or Gross State Product figures for the individual states, so the previous year's data will continue to be used until more recent information becomes available.  For U.S. states, population figures were obtained from current U.S. Census Bureau estimates with regard to July 1, 2001 (2001-07-01) (see items noted † in the table).  GDP data (other than the LAEDC column) for U.S. states was derived from currently available Bureau of Economic Analysis “Gross State Product” figures with regard to the year 2000 (see items flagged ‡ in the table).

Changes since 2001 Factbook.  The most notable change since last year's Factbook is the continuing ascent, in the CIA's estimation, of China's economy.  Since the CIA's estimate of $4.5 trillion for China's economy in the year 2000, the CIA now purports to believe that the size of the Chinese economy, as of the year 2001, was 5.56 trillion US$ — an increase of over $1 trillion in just that one year, in sum over half the size of the U.S. economy.  Of course, China's sizable GDP, as well as that of India (whatever their actual size), are spread out over a much larger per capita than that of the U.S.

I also note that both LAEDC's table and the 2002 World Factbook both report a U.S. GDP of 10.082 trillion US$ for the year 2001.  That is indeed what they both report, and I have no explanation for the convergence, save coincidence.

Why are the CIA's estimates sometimes so different from economists?  I've seen no mention of this in the general press, but the CIA World Factbook's figures for the economies of several of the world's major economies — most notably India and China — are very much different (a factor of five-fold in the cases named) from those which (according to LAEDC economist George Huang, for example) are generally accepted by economists.

In the table above, notice how India is shown, in the LAEDC figures, with a GDP of $481 billion US$ for the year 2001; China, a GDP of $1.159 trillion over the same time period.  Contrariwise, according to the CIA's estimation in the 2002 World Factbook, India's GDP was actually $2.5 trillion US$ for the year 2001, while China's was an astounding $5.56 trillion!  Note that China's economy, according to the CIA, grew to that lofty figure by more than $1 trillion in annual GDP since just the previous year (it was $4.5 trillion during year 2000, according to the 2001 CIA Factbook).

If the CIA's estimations are correct, then both India and China substantially outrank California in GDP, which (together with jostling with countries such as France, the U.K., and Italy) places California in ninth place in the world during the year 2001.  Plugging in LAEDC's year 2001 GDP for California ($1.309 trillion), rather than using the BEA's year 2000 GDP for the state ($1.344,623 trillion), causes California to actually drop into tenth position, behind the U.S., China, Japan, India, Germany, France, the U.K., Italy, and Brazil.  Of course, ninth or tenth place in the international economic jamboree is not at all bad, when viewed in proper context as the performance of a population of a mere 34 million!

Probably the real story here, however, is why the CIA's assessment of several nations' economies, most notably India and China, is so much at variance with what economists generally accept.  I don't have the answer to that question.
 

UPDATE:  2003-01-24 18:15 UT:  Mystery solved!

Victor Davis Hanson has a fine piece in the 2003-01-13 OpinionJournal called “‘Bomb Texas’: The psychological roots of anti-Americanism.”  (The article also appeared in the 2002-12 issue of Commentary.)

It's a competent article on its subject's theme, delving into phenomena of and explanations for the rise of anti-Americanism among what used to be called the intelligentsia (now grown into the hundreds of thousands of Cassandras amidst the horn of plenty).  The article is well worth reading in its entirety.

Hanson really comes into his own, however, in my view, when he unbundles his historical acumen to relate the present situation of widespread demoralizing and corrosive cynicism with that of an earlier age.  Hanson writes:

The anti-Americans often invoke Rome as a warning and as a model, both of our imperialism and of our foreordained collapse.  But the threats to Rome's predominance were more dreadful in 220 b.c. than in a.d. 400.  The difference over six centuries, the dissimilarity that led to the end, was a result not of imperial overstretch on the outside but of something happening within that was not unlike what we ourselves are now witnessing.  Earlier Romans knew what it was to be Roman, why it was at least better than the alternative, and why their culture had to be defended.  Later in ignorance they forgot what they knew, in pride mocked who they were, and in consequence disappeared.

The example of Rome, in short, is an apt one, but in a way unintended by critics who use passing contemporary events as occasions for venting a permanent, irrational and often visceral distrust of their own society.  Their creed is really a malady, and it cries out to be confronted and exposed.

I'm no historian myself, but I've read fairly extensively in Roman (especially late Roman) history, and I can affirm that Hanson's precisely right on here.  What killed Rome was not the sort of debauchery usually supposed by the historically naive, as exemplified perhaps by the shenanigans dramatized in the justly-acclaimed miniseries I, Claudius.  Those days occurred, in fact, at the very beginning of the Roman Empire, when it was near the height of its power.  By the time the (Western) Roman state fell to the barbarians, more than four centuries later, the bulk of the Empire had been converted to Christianity, and the mood in general was much more somber and certainly less sensual.

Hanson's summation, “Later in ignorance they forgot what they knew, in pride mocked who they were, and in consequence disappeared,” is an accurate portrayal, as best I can make out, of those times.  The Roman Senate was strongly pacifist in outlook, for example.  The concept that the dangers of the day demanded upright citizenship, unity and responsibility, was an idea and ideal often lost in the bedlam, the intellectual confusion, and as we see today, corrosive cynicism of the institutions on which their society was built.  As Hanson says, it was primarily that, not a lack of military strength per se, that drove the (Western) Roman Empire to its doom.

The Eastern Roman Empire, by the way, survived an additional thousand years, a fact often overlooked — and certainly reason to think that the fall of Rome wasn't “foreordained.”

Labels: ancient Rome, war on terror

Sgt. Stryker comes through again!  CPO Sparkey at Sgt. Stryker does a fine piece "Grooaannn, Not This GPS Jammer Crap Again!," effectively debunking the media hysteria over the last few days about the reported Iraqi purchase of "GPS jammers."  (I'd thought the idea that the U.S. military would all of a sudden be confronting for the first time the possibility that someone might try to jam the GPS signals was a little harebrained!  The Global Positioning System was designed, after all, during Soviet times and with a Soviet threat in mind; sophisticated jamming attempts were to be expected.)

CPO Sparkey points not only to an article of his own from last September on this subject (even the "Fox News Exclusive" photo the media has been carrying is the same one that Sparkey linked to back then!), but also to a Boeing press release from 1998 discussing tests going on half a decade ago to circumvent methods of jamming GPS signals.  (As Sparkey says, "Advantage: ME!")  As one might expect, the U.S. Air Force has a whole project, the Anti-Jam GPS Technology Flight Test (AGTFT) program, devoted to this kind of research.

It's also worth noting a reader's comment to the Sparkey article, who points out that even if a GPS jamming method used by an enemy were someday to be successful, it still wouldn't mean JDAM munitions falling randomly like dead hunks of metal (as bombs used to) out of the sky.  Each JDAM (Joint Direct Attack Munitions) apparatus on each "smart" bomb, in addition to a GPS receiver, includes an Inertial Measurement Unit (IMU) which can compute the bomb's falling position fairly accurately with no external inputs whatever.

In his blog, Clayton Cramer links to a powerful visual comparison of the two Koreas: a satellite photo of the peninsula at night.  The image (shown half scale below) speaks eloquently.

Of the plight of the enslaved and starving North Koreans, reduced to eating grass, I'm reminded of T. S. Eliot's memorable words (in Little Gidding, 1942):

And what the dead had no speech for, when living,
They can tell you, being dead; the communication
Of the dead is tongued with fire beyond
the language of the living.

We have seen the highest circle of spiraling powers.  We have named this circle God.  We might have given it any other name we wished:  Abyss, Mystery, Absolute Darkness, Absolute Light, Matter, Spirit, Ultimate Hope, Ultimate Despair, Silence.
Nikos Kazantzakis, 1948

The hue and cry over the "double standard" that the United States and the Bush Administration are supposedly perpetrating with regard to North Korea vis-�-vis Iraq is quite underwhelming.  It would seem that people raising this charge have been too isolated all their lives to have heard President Lincoln's wise dictum "one war at a time" (if at all possible to arrange).

Besides missing out on that piece of eminent good sense, perhaps those enthralled by this "double standard" idea simply cannot see the difference between one country run by a megalomaniac dictator who is nonetheless still capable of being restrained from acquiring weapons of mass destruction (how tame those words sound!) or of being overthrown altogether, and a nation run by a (slightly differently) mad dictator who already has a few nuclear weapons and so must be treated with kid gloves, like a child with, well, atomic bombs.  It's not sensible, in my opinion, to treat these distinct cases as identical, worthy only of identical response.  (Lest someone yell "double standard!" — horrors!)

It can be observed that quite a number of people reflexively opposed to the likely forthcoming war with Iraq are basically more anti-American than antiwar — though perhaps anti-capitalism and anti-modern world is a more correct way of characterizing such people's "ideals."  These are not polemics on my part but demonstrable fact.  Long-time The Nation editor David Corn (hardly a rightist) has documented how the leaders of ANSWER (Act Now to Stop War & End Racism, the front-face actually putting on these antiwar rallies) are in truth also leaders of the Workers World Party (WWP), basically a communist organization (yes, such still exist) dedicated to overthrowing capitalism and liberal democracy, with the intent of replacing these "historically outlived" systems by such states as (I kid you not) North Korea.  Dictator Kim Il Jong of North Korea is actually one of the WWP's heroes.

Many people opposed to war in this country are not in favor of the Workers World Party, of course, nor, I imagine, do very many know that the WWP leadership guides the antiwar movement.  Despite people's ignorance, however, the WWP dominates the message that antiwar rally attenders individually hear and which, across the country, is fed to the media by way of these antiwar demonstrations.  Corn's piece well describes how this corrupts the entire agenda of the antiwar movement and any alternatives to war it might be tempted to sponsor.

As for folks perhaps not enamored of the WWP's anti-American and anti liberal-democracy "values," but who still find themselves persuaded by the (false) "double standard" equating of the situations of Iraq and North Korea, well, I'm reminded of the leftists George Orwell wrote about the better part of a century ago:

The underlying motive of many Socialists, I believe, is simply a hypertrophied sense of order.  The present state of affairs offends them not because it causes misery, still less because it makes freedom impossible, but because it is untidy; what they desire, basically, is to reduce the world to something resembling a chessboard.

(George Orwell, pseudonym of Eric Arthur Blair, The Road to Wigan Pier, 1937.)

A new year, another "Big Round Number" has cycled through the western (now common) world's calendar.  Occurring only a few years after the even larger "Big Round Number" of the (western) Millennium, it's an appropriate moment to note that the ancient Maya of the Yucatan and Central America also had a positional numbering system analogous to ours (though based on 20 instead of 10), and a calendar expressed in their system.  In (just under) a western decade, which is (just over) half a "katun" (the Maya equivalent of a decade), the Maya calendar is due to pass through its own "millennium," known as a baktun to the Maya.  Rumors swirl about this transition:  Is it the end of the world?  Did even the ancient Maya think so?  Coming up: exploration of these questions!