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. 2011 Mar 30;6(3):e18239. doi: 10.1371/journal.pone.0018239

Figure 2. Evidence for increasing cultural acquisition costs.

Figure 2

(A) Individual ontogeny recapitulates cultural history for mathematical knowledge: children learn mathematical concepts in the same order that they were first invented historically. The line is a best-fit logarithmic function with R2 = 0.97. See Text S1 and Table S1 for sources. (B) Jones' [19] maximum likelihood functions of the probability of a scientist or inventor producing a significant scientific or technological innovation (as measured by the awarding of a Nobel prize or entry in prominent technological almanacs) as a function of the innovator's age, separately for the years 1900 and 2000. Over this 100-year period the peak age of innovation has increased by approximately 6 years, and overall innovation rates have decreased. Functions are derived from equation (3) and Table 2 in ref. [19], recreating that paper's Figure 4.