Light Science for Leisure Hours: A series of familiar essays on scientific subjects, natural phenomena, &c.Proctor, Richard A. (Richard Anthony)
Science
Light Science for Leisure Hours: A series of familiar essays on scientific subjects, natural phenomena, &c.
Proctor, Richard A. (Richard Anthony)
Science
I have said that many eminent authorities held that the rate of
increase assumed by Mr. Jevons would not actually prevail. But some
went farther, and questioned whether the average annual arithmetical
increase of the lately passed years would continue even for the next
few years after the publication of Mr. Jevons’s work. ‘Such a continued
increase as that, which has taken place during the last five years,’
wrote an excellent practical authority, ‘cannot continue for the next
ten years,’—far less, therefore, that increasing rate of increase which
Mr. Jevons had assumed. The same writer went farther even than this.
For, after pointing out that the exportation of coal would probably
be soon reduced, rather than undergo, as during the past, a steady
increase, he added that ‘on every side there were evidences of the
most decided character, warranting the supposition that the annual
exhaustion of our coal fields would not at any period much exceed the
hundred million tons which it had nearly reached’ (in 1866).
One of the most interesting questions, then, which the Commissioners
were called upon to decide was, whether, at least during the period of
their labours, the anticipations of Mr. Jevons would be fulfilled or
not. It is easy to compare his anticipations with those above quoted;
or rather, it is easy to determine whether Mr. Jevons’s theory of an
increasing increase, or the theory of a uniform average increase,
accords best with the experience of the last five years. To make the
comparison fairly we must adopt the figures on which his own estimate
was founded. We have seen that he rejected the annual increase of
2,403,424 deduced from the records of the nine preceding years, and
adopted instead an increase of 3¼ per cent. year by year, taking
one year with another. His own calculations gave for this year 1871
a consumption of 118 millions of tons,—an enormous increase on the
annual consumption when he wrote. According to the view he rejected,
the consumption for the year 1871 is easily computed, though slightly
different results will be obtained, according to the year we choose
to count from. The annual increase above mentioned gives an increase
of 24,034,240 tons in ten years, and if we add this amount to the
consumption in 1861 (83,635,214 tons) we obtain for the year 1871 a
consumption of 107,669,454 tons. On the other hand, if we add eight
years’ increase to the consumption of 1863 (88,292,515 tons), we
obtain 107,519,907 tons.[8] It will be seen that there is an important
difference between the consumption for 1871, as estimated according to
Mr. Jevons’s view, and according to the average rate of increase in the
nine preceding years. As the matter stood in 1865, the great question
concerning the consumption of the year 1871 would have been,—whether it
would be nearer 118 millions, the estimate of Mr. Jevons; or to 107½
millions, the estimate, according to the annual rate of increase;
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