Every modern weather forecast depends on an idea that Lewis Fry Richardson pursued before the machines existed to make it practical: describe the atmosphere mathematically, then calculate how it will change. Born in Newcastle upon Tyne in 1881, Richardson became a British mathematician and meteorologist whose proposal helped establish numerical weather prediction. His career ranged well beyond forecasting. A Quaker and conscientious objector, he served with an ambulance unit in France during the First World War, investigated turbulence and irregular coastlines, and tried to use mathematics to understand the causes of conflict.
Richardson’s work was often ahead of its tools. In 1922 he published a plan for calculating weather from atmospheric observations and physical equations. His own hand-worked forecast took weeks and failed conspicuously, but the underlying approach became central to modern meteorology. His story is not simply one of an idea vindicated by later technology: it is also a record of an unusually wide-ranging scientist, and of the moral convictions that shaped his working life.
A Quaker education and an eclectic career
Richardson was the youngest of seven children in a prosperous Quaker family. At 12, he went to Bootham School, a Quaker boarding school in York, where science and natural history helped kindle his interests. In 1898 he enrolled at Durham College of Science, studying subjects that included mathematical physics, chemistry, botany and zoology. He moved to King’s College, Cambridge, in 1900, read Natural Sciences and graduated with first-class honours in 1903. Later, at 47, he received a doctorate in mathematical psychology from the University of London.
His professional life likewise crossed disciplinary and institutional boundaries. He began at the National Physical Laboratory, taught at University College Aberystwyth and worked as a chemist for National Peat Industries. After a further period at the National Physical Laboratory, he managed the physical and chemical laboratory at the Sunbeam Lamp Company, then taught at Manchester College of Technology. In 1913 he joined the Meteorological Office as superintendent of Eskdalemuir Observatory in Scotland.
That varied experience gives useful context for his approach to science. Richardson had worked in a laboratory, industry and education before taking on meteorology. He was interested in mathematical principles, but also in how measurement and calculation might be applied to complicated natural processes. His move between fields was not a retreat from precision; it was a way of bringing it to new problems.
Turning weather into a calculation
When Richardson began working in meteorology, forecasts relied substantially on experience and comparisons between weather patterns. His proposal was to calculate the atmosphere’s future state from physical measurements and equations. In principle, pressure, temperature and wind could be represented across a grid, with the changing conditions in each part of that grid calculated forward in time. This was more than using mathematics to assist a forecaster: it was a plan for making weather prediction a systematic computational science.
Richardson set out the method in Weather Prediction by Numerical Process, published in 1922. The calculations required quantities of data and computing power that were not then available. He nevertheless described how a large team might divide the work: each person would calculate one part of the atmosphere, while a central operation coordinated the results. His imagined “forecast factory” had a theatre-like form, with the globe represented on its walls and calculations organised across its different regions. People would perform the work that computers later took over.
The picture was ambitious, but its central principle remains recognisable in numerical weather prediction. The Met Office describes numerical modelling as central to modern forecasts and warnings. Richardson could not put his vision into routine operation, but he had identified a way to turn atmospheric prediction into a problem of organised, repeated calculation.
The forecast calculated by hand
Richardson tested the idea by attempting a forecast for 20 May 1910. Taking observations from 7 a.m., he calculated the weather six hours ahead. The work took more than six weeks of arithmetic for that single forecast at one location. Its predicted pressure rise was dramatically wrong: it calculated a rise of 145 hectopascals, while the pressure was more or less static.
The failure did not settle the question of whether numerical forecasting could work. Later analysis identified problems with the starting data and with the absence of smoothing, which would have removed unrealistic fluctuations. When smoothing was applied, the forecast was found to be essentially accurate. That does not make the original calculation a successful operational forecast; it does explain why the attempt matters as a demonstration of what might be possible. Richardson had tackled the calculation by hand while serving with the Friends’ Ambulance Unit in France.
His forecast factory and his laborious calculation belong together. The first showed how he thought a global forecasting effort could be organised; the second showed the gulf between that plan and the resources then available. In 1950 he heard of the first weather forecast calculated by the modern computer ENIAC. He called it an “enormous scientific advance”; even that machine took nearly 24 hours to calculate a 24-hour forecast. The work that followed was not a sudden fulfilment of an easy prediction, but a gradual convergence of better computation, data and methods with the problem Richardson had defined.
Principle, service and the First World War
Richardson’s Quaker beliefs informed his pacifism. As a conscientious objector, he did not serve in combat. From 1916 to 1919 he worked in France with the Friends’ Ambulance Unit, attached to the 16th French Infantry Division. After the war he returned to the Meteorological Office, working at Benson in Oxfordshire. When the office was amalgamated into the Air Ministry in 1920, he resigned on grounds of conscience.
The decision shaped the course of his career. He subsequently headed the physics department at Westminster Training College and, from 1929 to 1940, was principal of Paisley Technical College. After retiring, he continued to research his own ideas. His career did not follow a conventional route towards a single specialism or a succession of secure academic posts. It reflected both the range of his interests and a willingness to give up a position when its institutional setting conflicted with his beliefs.
Turbulence, coasts and the mathematics of conflict
Richardson also studied atmospheric turbulence, the irregular motion of fluids that makes their behaviour difficult to describe. The Richardson number, a dimensionless parameter used in the theory of turbulence, bears his name. He gave the subject a memorable summary in verse: “Big whirls have little whirls that feed on their velocity, / and little whirls have lesser whirls and so on to viscosity.” The couplet makes a complex pattern easier to picture without pretending that it is simple.
Another line of enquiry began with a problem in measuring borders. Richardson was investigating whether the length of a shared border had a relation to the likelihood of two countries going to war. He found that published measurements could differ substantially. The reason is that a more detailed measurement follows more of the small turns and irregularities of a coastline or boundary. As the measuring unit becomes smaller, the measured length can keep increasing rather than settling on one straightforward figure. This is known as the Richardson effect or coastline paradox.
Richardson’s investigation became an important precursor to the modern study of fractals. In 1967 Benoît Mandelbrot drew on his research in a paper asking how long the coast of Britain is. Richardson had not begun by studying abstract geometry: his observations about measurement emerged from research on international borders and conflict. That connection captures the unusual breadth of his work, in which a practical question in one discipline could open a route into another.
His pacifism also gave his study of war a direct purpose. From 1919 he applied mathematics to international conflict, examining arms races, grievances and the conditions that could make rivalry unstable. In Arms and Insecurity (1949), he used equations to represent interactions between two nations’ levels of armament, including the influence of the rival’s arms, perceived grievances and existing weapons. His later Statistics of Deadly Quarrels assembled data on wars from 1815 to 1950 and sought recurring patterns in their frequency and scale. The book was published after his death, in 1960.
Richardson did not claim that arithmetic could end war. His project was to test ideas about conflict against measurements and systematic analysis, rather than relying only on political argument or anecdote. His work helped establish quantitative approaches to peace and conflict research. Lancaster University’s Richardson Institute, a peace studies centre established in 1959, carries his name and continues an institutional connection to that field.
A continuing scientific inheritance
Richardson died in Kilmun, Scotland, on 30 September 1953, aged 71. He did not live to see numerical weather prediction become an operational service. The Met Office records its first operational computer forecast on 2 November 1965, more than a decade after his death. The intervening development of computing and meteorological methods helped bring practical forecasting closer to the enterprise he had proposed.
The value of numerical weather prediction lies in turning observations into forecasts that can inform decisions. Richardson’s contribution was to set out a mathematical and computational way of approaching that task. His name also remains attached to work on turbulence and nonlinear geophysics: since 1997, the European Geosciences Union has awarded the Lewis Fry Richardson Medal for exceptional contributions to nonlinear geophysics. His research on conflict has its own institutional afterlife at Lancaster. These are distinct legacies, joined by his habit of asking whether difficult phenomena could be made more intelligible through careful analysis.
Why Lewis Fry Richardson deserves a place in British Legacy
Lewis Fry Richardson deserves a place in British Legacy because he helped define a scientific method that now underpins weather forecasting. He did so before electronic computers could perform the calculations his proposal required. His 1922 book set out a way to represent the atmosphere mathematically and calculate its changing state; his forecast factory imagined how such work might be coordinated on a global scale. The Met Office’s later operational computer forecasts show how the approach moved from an ambitious proposal towards a working service. The benefit is practical as well as intellectual: numerical forecasts and warnings give people and organisations information with which to plan for changing weather.
His significance is not confined to meteorology. Richardson connected observations about turbulent motion with a lasting scientific parameter, and his research into the varying measurements of borders helped anticipate later work on fractals. He also brought his Quaker pacifism to the study of conflict, using mathematics to examine arms races and the patterns of war. The Richardson Institute at Lancaster and the European Geosciences Union’s medal bearing his name mark the continuing reach of those interests. For Britain, his legacy is therefore both an advance in a public scientific service and an example of research crossing disciplinary boundaries without losing sight of its human consequences.
Sources
Lewis Fry Richardson — supplied Wikipedia revision
Adapted in part from Lewis Fry Richardson by Wikipedia contributors, under CC BY-SA 4.0. Text has been edited and combined with the existing article; this adapted text is shared under the same licence. Contributor history.
