A good example of effective presentation of data is found in
the classic work of Charles Joseph Minard (1781-1870),
the French engineer, which shows the terrible fate of Napoleon's
army in Russia. Described by E.J. Marey as seeming to "defy the
pen of the historian by its brutal eloquence", this combination
of data map and time-series, drawn in 1869, portrays the devastating
losses suffered in Napoleon's Russian campaign of 1812. Beginning
at the left on the Polish-Russian border near the Niemen River,
the thick band shows the size of the army (422,000 men) as it
invaded Russia in June 1812. The width of the band indicates
the size of the army at each place on the map. In September,
the army reached Moscow, which was by then sacked and deserted,
with 100,00 men. The path of Napoleon's retreat from Moscow is
depicted by the darker, lower band, which is linked to a temperature
scale and dates at the bottom of the chart. It was bitterly cold
winter, and many froze on the march out of Russia. As the graphic
shows, the crossing of the Berezina River was a disaster, and
the army finally struggled back into Poland with only 10,000 men
remaining. Also shown are the movements of auxiliary troops,
as they sought to protect the rear and the flank of the advancing
army. Minard's graphic tells a rich, coherent story with its
multivariate data, far more enlightening that just a single number
bouncing along over time. Six variable are plotted: the
size of the army, its location on a two-dimensional surface, direction
of the army's movement, and temperature on various dates during
the retreat form Moscow. It may well be the best statistical
graphic ever drawn.
Edward R. Tufte. The visual Display of Quantitative Information