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growth of the discipline



I just came up with a great way to kill an hour on a Sunday  
afternoon.

Ever wonder how fast paleo is growing, and whether it's still  
expanding like it used to? Well, I did a little study of my personal  
reference list for North American fossil mammals in order to answer  
the question. I'm assuming that the field as a whole doesn't differ  
in its behavior from this particular sub-sub-discipline. The data  
set includes 1536 references and is reasonably complete, although  
they get progressively more spotty the farther back before World War  
II you go. I excluded the 19th century completely because of this  
problem. I wrote a jiffy little C program to read the file and  
figure out how many references were published in each three year  
interval from 1900 on (data are appended for those who find such  
things entertaining).

If you plot the data on a semi-log scale you'll see three  
interesting things. First, there is a generally exponential growth  
pattern, as indicated by straight-line fits of time to log(number of  
references). Second, there seem to be offsets in the curve at  
1918-20 (maybe) and 1942-4 (definitely). The WWII "extinction event"  
continues through the 1945-7 interval. The slope of the curve per se  
doesn't seem to change that much, although the pre-WWII data are too  
rough to really tell. Third, the curve flattens out starting in  
1984-86.

Notes: 1) By running an RMA regression on the "clean"  
1945-47/1981-83 intervals, I got a rate of growth in the literature  
of 7.8%/per year (r2 = 0.943; doubling time = 9.2 years). It doesn't  
help much to use the somewhat smoother 1963-65/1981-83 data; the  
rate goes down only to 7.2% (r2 = 0.930; doubling = 10.0 years),  
which is basically the same thing. 7% a year is fast!

2) The offsets are clearly related to the two world wars. The Great  
Depression didn't seem to make a big deal, which may say something  
about the financial resources of people like Osborn, Frick, and  
Carnegie (do any of you guys remember the old Carnegie Institution  
series?). Probably most of you are already familiar with the "WWII  
effect" on the literature, but the WWI effect was a surprise to me  
(assuming it's real).

3) There is _definitely_ a flattening in the curve, and I do not  
think it's merely due to my not keeping up with recent literature.  
The data start to go flat in 1984-86, which is a decade ago, and it  
should take far less than ten years for obscure North American  
references to land on my desk. Furthermore, the rate of growth  
doesn't merely slow - there's _no_ growth after this point. If you  
project the 7.2% growth rate from 1981-83's 158 references, there  
should be 363 references in 1993-96. The data are completely  
incompatible with a rate of growth that fast. I'm fairly confident  
about concluding from these data that the field (or at least the  
mammal paleo sub-sub-field) has reached the limits of its growth,  
and started doing so in the early 1980's. Has the ghost of Ronald  
Reagan come back to haunt us? Comments, anyone?

Year	References
1900	1
1903	3
1906	2
1909	4
1912	10
1915	12
1918	5
1921	6
1924	8
1927	9
1930	18
1933	24
1936	19
1939	33
1942	19
1945	9
1948	19
1951	16
1954	33
1957	26
1960	54
1963	40
1966	72
1969	78
1972	94
1975	110
1978	128
1981	158
1984	154
1987	149
1990	156
1993	67