TIDES A Scientific History
By David Edgar Cartwright
Cambridge University Press, 1999
xii + 292 pages. Price £40
ISBN 0 521 62145 3
The book has a preface, acknowledgements, 15 chapters, 6 appendices and 2 indices. It is interspersed with a large number of tables, figures and photographs each of which being cited. Monograph and periodical citation is footnoted in situ and listed at the end of each chapter. A collated bibliography would have been useful. This story of the development of tidal theory is very well written by one uniquely qualified to speak on the subject. The author, a natural scientist and mathematician, began his life’s work in UK oceanography but gave a year to the Scripps Institute. When he retired as director of the Institute of Oceanographic Science in 1987 he gave another whole year to America, this time with NASA. Planning the TOPEX/POSEIDON project for both the US and France continues to occupy him.
Interestingly it was an American, Rollin Harris, who had written the only, then, full history of tidal theory a century ago. Clearly there has been some need for such an augmentation of the literature for Margaret Deacon’s Scientists and the Sea 1650-1900, which was recently re-edited, has already sold out in paperback. Horace Lamb’s celebrated treatise Hydrodynamics, which he first published in 1879, continues to find a place in modern bookshops in its 6th edition.
The review conveys the growth of ideas. Schools of expertise in different countries have led certain aspects of the field at different times. A recurrent theme of how the latest state of the art was always considered to be definitive is explored. The antiquity of tidal history is pushed back to 2,000 BC. It is remarkable how men of antiquity bothered to note upon such a small phenomenon and its relationship to the heavens. The erratic pace of advances being followed by lulls is shown. The scientific exposition of Giraldus Cambrensis is made possible by the profound knowledge of the author. Modern analysis shows how Newton on the Gulf of Tonquin tides is the first citation of interference between two wave trains. Via Harris, we have repeated one of the few statements that the so-called Coriolis effect had been indicated earlier by Mclaurin. The cerebral place of Newton is noted, but it was the mundane activity of the Astronomer Royal, passing by boat upon the tideway to and from his workplace, who observed difference between prediction and actuality. So in this respect the divining that it was as late as Bernoulli in 1740, that any advance in tidal prediction beyond the pre-medieval rule of thumb method was made, is important. On the other hand, perhaps the assertion of Maskelyene being the last astronomer to get his feet wet may not be so definitive if one considers Edmund Neison.
It was gratifying to learn that the original Liverpool tide observations of 1774-1792 have recently been re-discovered. These form an early set of good quality data establishing Liverpool’s special place in the science. Single years of predictions derived from this data were then sold for one shilling!
By Chapter 7 and only one quarter in to the book Cartwright gets into his stride as the basis of the field of geophysical fluid dynamics develops. The author is very useful in offering English translation of much French work. Laplace exposes the coriolis acceleration (fv-fu). Clearly Dr Cartwright finds a greater utility in Laplace than Formidable Young. However the empirical analysis of Laplace was used for predictions of French tides until mid 20C and the amplitude of Brest is still used for minor ports today. The mathematics is set out clearly, requiring an ordinary understanding of calculus. An assiduous historian could ignore much of the maths and get a lot of satisfaction out of just the text. Curiously an assumption is made throughout the book, that the reader grasps the very difficult and complex subject which is an understanding of what drives the tides.
To William Thomson, Baron Kelvin of Largs, is given the accolade grandfather of geophysics. That is despite the dissertation of David Kushner on ‘Sir George Darwin and a British School of Geophysics’ in 1993. Sir Richard Strachey had written imploringly to Thomson as the high priest of tides in 1883. The value of being able to read French is shown in obtaining the accurate, earlier citation for Delauney, and his famous statement on the tide causing lunar acceleration, than other writers.
The first two appendixes form glossaries but the monograph includes many definitions and explanations of terms throughout. Not least of which being ‘Kelvin Wave’. Nowadays ‘computer’ means a machine but forty years ago it meant a person; particularly regarding tidal reductions this had great relevance from Mid-Victorian to mid present century. Other stringently oceanographic terms as ‘shelf-break’ are strewn throughout the text and require the reader to conjure up a meaning.
The concluding chapters lead into altimitry and this is really the crucial value of the work. For here is an accessible collated version of modern tidal work to the very end of the twentieth century. Few people could have written these chapters. The launch into orbit and decay after 57 days of Sputnik 1 in 1957 enabled western scientists to understand gravity more. The major cause of a tidal variation in the gravity field as sensed at satellite height is the earth tide. By 1974 it was realised that the orbital perturbations are significantly affected by the oceanic tide as well as by the earth tide. Thereby the astonishing fact emerged, that important geophysical parameters that had been sought for more than a century in terms of frictional drag on the sea-bed, could be directly deduced from the variations in a satellite’s orbit. The Hebridean tides first described by Sir Robert Moray in 1665 received explanation. The first ocean amphidromic system was indicated in 1968. But all was not plain sailing for the ‘Working Group on deep-sea Tides’ bust up in 1975. The retro reflector placed on Moon’s surface by the man who left his footprints behind in 1969 enabled the direct measurement of Moon’s mean movement from Earth at 3.8 cm per year. Increased satellite use enabled the old problem, initiated by Whewell and Harris in the 19C, of defining the tides was almost completely solved to a few centimetres of accuracy. By the US Navy’s 1985 Geosat all the empirical harmonic constituents were defined and every amphidrome was detected.
Lord Kelvin and the Age of the Earth controversy can not be divorced from the furore created upon publication of ‘Origin of Species. Kelvin and the later Darwin opened up more than just geophysics with their solutions and finally here, the questions are brought up to date. The accumulation in recent years of historical records of eclipse phenomena, translated from Eastern languages, and identifiable daily growth rates in coral in 1963; led to good measures of length of day and number of days per year during past epochs. All of which lead to lower estimates of dissipation – tidal friction. The author concludes with stating what motivated him to write: that most of the original mainstream problems of tides are now part of the history of science. This book is essential for students of tidal history but more than desired reading for the history of geophysics, oceanography and astronomy.
PAUL HUGHES
Airmyn, Yorkshire
A STUDY OF CHANGES IN HIGH WATER LEVELS AND TIDES AT LIVERPOOL DURING THE LAST TWO HUNDRED AND THIRTY YEARS WITH SOME HISTORICAL BACKGROUND
By PHILIP L. WOODWORTH
Proudman Oceanographic Laboratory Report Number 56,
ii + 62 pages + 9ff., 22 figures.
Copies available from the Proudman Oceanographic Laboratory
The
The work is a report whose main body is 46 pages of text, with chapter headings in bold, so that a contents list and index are omitted, then follow five reference pages. Annex 1 is a synopsis of the most remarkable Life of William Hutchinson. Annex 2 is a Comparison of Historical and Recent Measurements of the Geodetic Levelling at Liverpool, which serves as a model for elsewhere. An integral part is the two end tables, the captions and figures.
The 230 years’ high water height and time record has been near continuous. Dr Woodworth sets out to describe where the old records were made in relation to the modern townscape; this is difficult work at the waters edge and he has searched early engineering archives. This effort is paid off because the datum is later shifted horizontally and the errors involved are considered, followed by the tidal data being referred to the national mapping. These principally historical sections conclude with interesting biographical notes of the early tide recorders. It is the diligence of these men, combined with chance preservation, upon which the report is constructed.
The first Liverpool Dock masters are considered in
relationship to the dock engineering. Notably, Captain William Hutchinson had
been shipwrecked on a barren coast. He and his crew drew lots for who was to be
sacrificed to feed the remainder.
After
A crucial element of the report is the survey of Geodetic Levellings and Checks on Datum Relationships. In order to understand the relationships between the heights of various benchmarks in the area, particularly with regard to their long-term stability, the Institute carried out a new set of levelling during 1996-8. This led directly to what the report is about - the secular trends in water level, which are raises of 1 and 2 mm per year. The significance of the change is assessed as being local and not caused by the deep ocean, leading to potential interest from an engineering standpoint.
The records studied were brought about purely by port
existence and few were made simply for research. However, the
The reason why these old records were begun, made and kept is an integral part of the report and reinforces the study’s worth. Those reasons at first appear a scientific world apart from the present use, they return to what we now call oceanography and geophysics - but which early moderns would have called scientific and practical applications. Philip Woodworth promises that a search at other locations ‘would repay the efforts involved’. This report is a must for historians of oceanography; it is a model for the astronomer, altimetrist and civil engineer of how a long tidal record is used.
PAUL HUGHES
Airmyn,
The Flux and Reflux of Science: The Study of the Tides and the Organization of Early Victorian Science.
Minnesota , D.Phil. dissertation 2000.
pp iv+427, including 11 figures.
This much needed dissertation answers
one important question left by previous general commentators. This is what
exactly was wrong with the
The way that Reidy sets out in his introduction, the whole story that he is to develop, makes plain that he wrote the introduction after the story. In doing so the introduction forms anexcellent synopsis of his work. This dissertation analyses how and why one aspect of oceanic science, the study of tides, became a pertinent and prominent research topic in the 1830’s. The precursive investigations of Cannon, Miller and Dettelbach set the scene of Humboldtian science being done by mathematical practitioners. An accurate understanding of this Humboldtian initiative requires one to look further back in time. Humboldtian science included ‘the physics of the earth, and its biology, from a geographic view, to discover mathematical quantities’. This activity, the move from the internal laboratory to the external, whole earth laboratory defines Victorian science; but since Cannon’s definition certain incongruities have surfaced. Humboldtian science demanded simultaneous observations over wide areas of Earth, over long time periods, to produce laws explaining the connection between the physical and biological realms. Empire expansion allowed scientists to ask, for the first time, questions that demanded observations on a world-wide scale. Dettelbach had suggested that Humboldtian science was first natural history, its collection and classification and secondly physical science, measurement, instrumentation and error estimation. This dissertation is a history of why tidal theory became important when it did and how the advances in tidal theory were accomplished. It is a history of the organisation, funding and pursuit of science that particularly takes into account the field workers.
Understanding the history of tidal
science begins with the seventeenth century origins then moves to problems
uncovered in the eighteenth.
Despite the Board of Longitude being
inundated with tidal data and requests for payment for theories to be divulged
it was the more proletarian Society for the Diffusion of Useful Knowledge with
its British Almanac of 1829 that came to be the catalyst for systematic tidal
study and analysis. The success of the Mechanics Institute movement was in
publishing for the working class, for the education in science of artisans and
craftsmen themselves. The virtue of the SDUK was the combination that it was
open to all and yet it also attracted people of talent and industry, including
fellows of the Royal Society. SDUK was a society for the diffusion rather than
the production of knowledge; they published over a wide range of subjects and
included a treatise on navigation. Their British Almanac was an immediate
success and they were promoting it heavily by its second edition. The Nautical
Almanac had declined in accuracy in recent years and did not include tides;
the BA and Companion did include them. They also included method, common
rules for finding the time of High Water at any place. This was the ancient
method first espoused more than a millennium previous, but it was now clearly
and simply expressed. Joseph Foss Dessiou had undertaken the Labour of
calculating the tides; he worked upon previously published tables which in turn
had been influenced by Bernoulli. Unfortunately Bernoulli had only published the
‘vulgar establishment’ for
The Hydrographic Office had been formed
only in 1795 and it was hungry for accurate determination of sea level,
prediction of local vertical oscillation and of Oceanic horizontal streaming.
Reidy shows that the study, begun by
In a strategically important place, such
as
Study of Whewell the polymath, rather
than a dissection of earlier studies, is added to in this dissertation. His
entry into science was via writing textbooks, crystallography, and mineralogy;
as he searched for a subject he introduced French analytical methods into
physical science impressing J.D. Forbes, then after meteorology came his student
Lubbock, with interests overlapping Whewell’s own. They first corresponded on
tides in the Autumn of 1829. By the time Whewell presented
Throughout the middle of this
dissertation Reidy shows how Whewell was a successful critic and evaluator of
science. Whewell’s pursuit of two lines of enquiry, long and short term, made
him the perfect Humboldtian. He viewed science geographically and from within a
network of people established a methodology of research based on his study of
the philosophy of science. In Chapter 5 Reidy particularly turns to this aspect
of Whewellian study – his philosophy and how it closely interacts with his
tidal research. In addition Whewell lead in defining some of the hierarchical
nature of Victorian science. In the same year, 1834, that Whewell published his
most important paper on tidology he also begun his History of the Inductive
Sciences, both works were based on the ascension of knowledge from facts, to
laws of the phenomenon to laws of the cause. Reidy explicitly attempts to
examine the connection between the History and his tidal work. As Whewell
actually stated his History was both a precursor and a material source
for his later Philosophy. Through the History he found informative
instruction of how learning was achieved after error, this he considered to be
the ‘inductive epoch’, important and essential in the history of each
advanced science. The inductive epoch being the accumulation of facts and their
ordering through the use of hypotheses. He saw in the example of Kepler the
inductive method at work and the necessary slow march for the creation of a
perfect theory to advance from phenomological laws to the causal laws of
In pursuit of his cotidal maps Whewell conducted research throughout the 1830’s until the ‘Fairy’ experiment of 1840 and thus the study becomes genuinely Victorian. Whewell had discovered a method of gaining knowledge, his heuristic, a knowledge of the history of a subject when his philosophy would then enable further advance. The middle to later chapters includes much specific detail, the result of overseas research and considerably extends Whewellian study. Chapter 5 in particular gives a good view of Whewell’s philosophical concept from a tidal aspect. Whewell elaborated the distinctions that science first discerns what takes place, before discerning why it happened.
The final work chapter serves much in
the same office as some of the appendices, explaining the effect which Whewell
had upon the philosophical, academic and scientific worlds. The chapter focuses
on the multi-national tidal experiment of 1835 and extends into the relationship
between Whewell and Beaufort. Whewell had turned to tides because of their
potential and his philosophy had been developed therein, but his experiments of
both 1834 & 1835 were spectacular. In this respect Beaufort was lynchpin to
the advances under the Admiralty and its network. Whewell had been most able in
securing funds for his early work yet for his experiments to succeed he needed
not only the cooperation of his own government but that of those in countries
overseas as well. The expansion of data gathering became one under Beaufort’s
control. The Hydrographic Office replaced the Board of Longitude as the
Admiralty’s research and development branch, and in the effort to build up the
branch Beaufort deliberately set out to help
The very medium of the
In this magnificent dissertation Doctor
Reidy has demonstrated that early predictions were craft science. J.W. Lubbock
assisted by J.F. Dessiou determined the corrected tidal establishments for
Paul Hughes, Airmyn, 2001. Back
“On the origins of knowledge of the sea tides from antiquity to the thirteenth century,” Earth Sciences History v.20, no. 2, (2001): 105-126.
This scientific review of tidal history contrasts well with Thomas Eckenrode’s historical review of tidal science. Divided into nine parts it considers seven epochs, with some emphasis on causal theories, astrology, lunar and non-lunar theories and the world’s oldest tide-table. The bibliography is exhaustive using the best sources in both humanities and science, with modern writings and acknowledgement of which texts are difficult to obtain.
Dr Cartwright introduces the epistemological peculiarity of tides, in that every advance in understanding raised questions leading to more research. The literature review sets the scene well, then delves into tidal word forms and the best consideration of early Indian tides so far written. It is particularly gratifying to see the late Alexander Thom’s often neglected work brought within the scope. Of particular use is the extraction, via German translation, from the ninth century Arab philosopher, Jaqub al Kindi. Al Kindi is an early writer to distinguish between tidal flow and rain water.
Consideration of the Ch’hien Thang river bore is taken
back to the first century. This informed exposition gives them a scientific
context, exploring the relation between loose qualitative terms with modern
precision. The article is a good survey of tidal science before the Scientific
Review from where Cartwright’s Tides –
a scientific history takes off.