Labor force in Specific Industries
Employment in metal working and basic metal industries in the US reached ca. 9 million workers in 1943-1944 against ca. 3 million in 1939 (source: Ristuccia, Tooze, 2003, figure 1). In Germany's case, metal working and basic metal employed 5.3 million workers in 06.1943 and 5.7 million workers in 06.1944 (1).
Germany's labor force
Employment in aircraft, shipbuilding and motor vehicles was:
------------------ 06.1943 ---------- 06.1944
Aircraft -------- 740 ---------------- 868
Automotive ---- 394 ---------------- 427
Shipbuilding --- 143 ---------------- 151
total ------------ 1,277 ------------- 1,446
(1)
Output was in millions 1941 RM per month (shipbuiding is the annual average, since building ships takes longer it's harder to measure on a monthly basis)
----------------------------- 06.1943 ----------- 06.1944
Aircraft --------------------- 926 -------------- 1,275
Aircraft (adjusted) -------- 617 -------------- 850
Automotive ----------------- 278 -------------- 368
Shipbuilding ---------------- 178 -------------- 164
total ------------------------- 1,073 ----------- 1,381
(1)
Aircraft production prices decreased by 1/3 from 1941 to 1943 as productivity increased (3), while in shipbuilding and automotive industries didn't change much (except tanks), so that I have adjusted it to 2/3 of the index level. Annualized output is 12.9 billion RM and 16.6 billion RM, or between 10,000 and 12,000 RM per worker. Well, in 1936, according to the census, manufacturing employed 5.96 million workers, producing 56.5 billion RM (vallued added 26.1 billion RM) (5), adding a 2.5% yearly gain in productivity (usual for Germany in the interwar years), 1944 we would expect average manufacturing workers to produce 11,500 RM per year (given the strong correlation between valued added and total sales).
US's labor force
I lack comparative data for US labor force in these industries but I have comparative data from (2), on employment in the aircraft airframe industry:
------------------ Germany/US
04.1943 ------ 373,000/1,084,000
04.1944 ------ 460,000/1,063,000
Considering in Germany's case employment in the whole aircraft industry was about 2 times those numbes, it suggests that US employment in aircraft industry was fluctuating around 2,150,000 from 04.1943 to 04.1944 (3 to 2.5 times Germany's). In terms of output we have the following data, from (4), in billions 1945 dollars:
---------------------- 1943 -------- 1944
aircraft ------------ 12.5 -------- 16.0
ships --------------- 12.5 -------- 13.4
motor vehicles --- 5.9 ---------- 5.0
total -------------- 30.9 --------- 34.4
Aircraft output was 44% of total over this 2 year period. If employment was proportional we would expect 4.9 million workers in these 3 industries, with around 1.8 million in shipbuilding and 0.9 million in the automotive industry. Or more than half of all metal working industry labor force. In Germany's case it was 24-25% of the labor force involved in this industry group.
Productivity
While micro level data appear to suggest that Germany's aircraft industry had higher levels of productivity, using aggregated data suggests otherwise. Maybe the data on the US airframe assembly was including more parts of the production process than the German data, maybe that specific part of the German production process , there is also the effects on strategic bombing and the general idleness of large fraction of the installed capacity of the German aircraft industry before 1944.
According to Rich's data, these were the outputs in combat aircraft in 1944:
Combat Aircraft Germany/USA
4-engine Bombers 518/16,331
2-engine bombers 5,041/18,672
1-engine bombers 909/8,614
2-engine fighters 3,066/4,733
1-engine Fighters 25,860/34,140
Prices in 1944 in the US were ca. 60,000 dollars for single engine fighters, 120,000 for two engine combat aircraft and 210,000 for four engine combat aircraft (reflecting reduced costs of scale). Multiplying these figures we arrive at 2.69 billion dollars for Germany and 8.80 billion dollars for the US. Employment in the aircraft industry was ca. 2,150,000 in the US and 0.84 in 02.1944, 0.847 in 04.1944, 0.868 in 06.1944 and 0.873 in 08.1944, on average 857,000 during the first 8 months of the year. So apparent productivity would be 3,140 dollars for Germany's and 4,100 dollars for the US's.
We, however, should correct this data by 2 effect: strategic bombing and spare parts. The USSBS estimated that strategic bombing reduced total output by 15,000 aircraft in 1944, from 55,000 aircraft to 40,000 aircraft, so German aircraft production without strategic bombing would been 37.5% higher. Second, spare parts were a larger proportion of US aircraft production in 1944 than in Germany (ca. 24% to Germany's 12%), total combat aircraft output hence was 11.73 billion dollars in the US's case, and Germany's case without strategic bombing would have been 4.20 billion dollars. Output per employee would be 4,900 dollars per worker in Germany's case and 5,460 dollars per worker in the US's case.
Notice that in 1939 it's estimated that 1 RM = 0.33 dollar, by 1945, US's accumulated inflation was ca. 55% over 1939's level (Friedman & Schwartz, 1963), so roughly 1 RM (1941) = 0.5 dollar (1945). Hence combined output in 1944 of shipbuilding, aircraft and motor vehicles was 69 billion RM in the US, employing 4.9 million workers in those industries (ca. 14,000 RM per worker), compared to annualized figures of 16.6 billion RM for Germany, employing 1.45 million workers (ca. 11,500 RM per worker). Productivity overall was lower in Germany but not by a factor as large as 50% of the US's case as estimated for the 1930's civilian goods manufacturing. The change appears to be of 2 factors:
1 - higher capital intensity in Germany's case, as Germany's machine tool stock was estimated to be 85% of the US's by the end of the war using 1942 German machine tool prices, but employment in metal working industries in Germany was ca. 60% of the US's in 43-44.
2 - aircraft, motor vehicles and shipbuilding were industries that greatly developed during the war, hence all countries had similar levels of technology and productivity. USSR's war related industries had much higher levels of productivity than their overall economy which was still mostly pre-industrial.
Overall, it appears that given basic metal and metal working industries employed 5.72 million workers in Germany and ca. 9 million in the US's, if aircraft, automotive and shipbuilding are representative (even though in Germany's case all the 4 combined had only 25% of the labor force) had representative levels of productivity (as it appear to be so, notice also that 11,500 RM would be projected outputs given 1936's average levels grew by 2.5% a year), in 1944 Germany's metal working would have produced 65,8 billion RM, while the US's, about 126 billion RM. Representative of the relative size of both economies, though Germany had greater capital stock per worker, the US is said to have high energy endowments (oil, wood, gas, hydroeletric, etc) which helped it's manufacturing to reach higher levels in productivity than Europe's (according to Broadberry) which allowed US manufacturing to be more productive. Today, since technology is relatively more important, manufacturing productivity in Europe, Japan and the US are at similar levels.
Sources:
(1)
http://www.wwiiarchives.net/servlet/act ... ndex/149/0
(2)
http://www.wwiiarchives.net/servlet/act ... ndex/150/0
(3)
http://www.econ.yale.edu/growth_pdf/cdp905.pdf
(4)
http://www.history.army.mil/html/books/ ... ub_1-7.pdf
(5)
http://hi-stat.ier.hit-u.ac.jp/informat ... 92/HdJ.pdf
"In tactics, as in strategy, superiority in numbers is the most common element of victory." - Carl von Clausewitz