232 LAW AND FREEDOM IN HISTORY A.D. 1924*—and by a Russian scholar, N. D. Kondratieff, who published his own findings in A.D. 1926* Kondratieff articulates his long-wave cycles as follows :3 Total Trough Crest Trough duration (i) circa 1790 1810-17 1844-51 50/60 years (ii) 1844-51 1870-75 1890-96 40/50 years (iii) 1890—96 1914—20 An attempt to"correlate'these forty/sixty-years 'Kondratieff cycles' with the nine/ten-years'Juglar cycles' and the three-and-a-half-years 'Mitchell cycles' had been made by J. A. Schumpeter.4 His suggestion was that each 'Kondratieff cycle' was a clutch of six 'Juglar cycles', and each 'Juglar cycle' a clutch of three 'Mitchell cycles'. 'We . . . postulate that each Kondratieff should contain an integral number of Juglars, and each Juglar an integral number of Kitchins.5 The warrant for this is in the nature of the circumstances which give rise to multiplicity. If waves of innovations of shorter span play around a wave of a similar character but of longer span, the sequences of the phases of the latter will so determine the conditions under which the former rise and break as to make a higher unit out of them, even if the innovations which create them are entirely independent of the innovations which carry the longer wave. . . . For every time series the sweep of any cycle is the trend of the cycles of next lower order. . . . The three deepest and longest depressions of the Industrial Age—1825-30, 1873-8, 1939-34—were de- pressions in the cycles of all three wave-lengths alike.. . . Barring very few cases in which difficulties arise, it is possible to count off, historically as well as statistically, six Juglars to a Kondratieff and three Kitchins to a Juglar—[and this] not [just] as an average, but in every individual case.'6 Schumpeter's hypothesis had not, however, won the support of W. C. Mitchell. 'No arrangement of our monthly measures in groups of three consecu- tive cycles will produce an approximation to "Juglar cycles" of from nine to ten years.7 . . . The evidence is better that business cycles vary sub- stantially within periods of "Juglar cycles" than that they do so within the long-cycle periods.8. . . The trough dates of the "Juglar cycles" corre- spond roughly to the trough dates of severe business depressions.'9 But, in the estimation of W. C. Mitchell and his colleague A. F. Burns, it remained still an open question whether "the periods separating severe depressions are genuine cyclical units,'10 while the same two in- vestigators' judgement on the 'Kondratieff cycles' was that the evi- ience told, on balance, against their claim to be realities." Review of Economic Statistics, November 1935. 3 As summarized in Mitchell, ibid., pp. 337-8. Schumpeter, J. A.: 'The Analysis of Economic Change*, in The Review of Economic istics, May 1935, p. 8, s Alias Mitchells.—A.J.T. Schumpeter, J. A.: Business Cycles (New York 1939, McGraw-Hill, a voia.)» vol. x, p. 172-4. i Burns, A. F., and Mitchell, W. C.: Measuring Business Cycles (New York 1946, Rational Bureau of Economic Research, Inc.), p. 443. » Ibid,, p. 444, » Ibid., p. 448. ™ Ibid., p, 464. Cp. p. 460. » See ibid,, p,- 465.