Saxton's atlasmeasured

Saxton's atlas, measured

    ModernSaxton
    true north to southtrue east to westmisplacement
    Layers
    Data studyMaps and measurement

    Between 1574 and 1579 Christopher Saxton surveyed the counties of England and Wales, had them engraved and published them in 1579 as the first atlas of its counties. How good was it? I read 857 towns, bridges and river mouths on all 34 county maps and on the general map, and set each against where the place really is.

    1.4 kmmedian misplacement of a town on its county sheet
    71%of towns within 2 km
    8.4°median lean of north to the west on the county sheets (Cornwall excluded)
    4.2×closer than the Gough Map of about 1360, country against country

    01Saxton's towns are where they should be

    I fitted each sheet to the real ground with one scale, one turn and one shift, so that every sheet is judged on its own terms. Across 811 readings the median town sits 1.4 km from where its sheet puts it; 32% are within 1 km and all but 5 within 5 km. The best drawn sheet is Worcestershire (median 0.68 km), the weakest Devon (2.66 km). Allowing each sheet to stretch (an affine fit) only brings the median to 1.3 km, so the shapes are true and not squashed: the median sheet is stretched by a factor of only 1.05.

    Bar chart of median misplacement for each county sheet

    02North leans to the west

    The surprise is the direction. On 31 of 34 county sheets, true north is turned anticlockwise: the top of the sheet points east of true north. The middle half of sheets lean between 7.6° and 10.0°, with a median of 8.4° (Cornwall excluded). That is close to the compass variation that William Borough measured at Limehouse in 1580, about 11¼° east, which is what you would expect if the surveys were laid out by magnetic compass. The general map of 1579, by contrast, is turned only -0.9°. Cornwall is the outlier: turned 24° the other way, possibly so that the long peninsula fits the plate.

    Dot plot of the turn of north on each county sheet

    03The general map against the Gough Map

    On the general map of England and Wales (46 towns read) the median town is 4.2 km out, at a scale about 6.9 times smaller than a typical county sheet. The Gough Map, about two centuries older and measured the same way, misplaces its median way station by 17.6 km, 4.2 times as much.

    04Sheets agree with each other

    16 towns appear on two neighbouring county sheets. Taking each back to the ground through its own sheet's fit, the two positions differ by a median of 2.30 km, the most being Llanidloes (5.2 km). Scales differ a lot: Hertfordshire is drawn 2.6 times larger than Yorkshire.

    MapTownsMedian kmTurn °Stretch
    General map (1579)464.23-0.91.02
    Kent and Sussex (1575)281.34+7.81.01
    Hampshire (1575)211.62+7.81.08
    Dorset (1575)190.97+6.51.05
    Wiltshire (1576)281.15+4.21.10
    Somerset (1575)221.29+1.21.02
    Devon (1575)222.66-3.11.14
    Cornwall (1576)201.60-24.01.02
    Essex (1576)171.97+12.41.05
    Hertfordshire (1577)241.27+12.71.09
    Oxon, Bucks, Berks (1574)280.93+10.11.02
    Gloucestershire (1577)241.34+9.21.07
    Suffolk (1575)241.76+6.51.09
    Norfolk (1574)242.01+9.81.03
    Northants and Cambs (1576)362.00+6.91.04
    Warwick and Leicester (1576)191.58-9.71.07
    Staffordshire (1577)181.14+11.21.02
    Worcestershire (1577)210.68+9.41.01
    Shropshire (1577)191.07+15.61.03
    Herefordshire (1577)260.81+15.51.08
    Lincs and Notts (1576)281.65+8.41.00
    Derbyshire (1577)200.69+10.21.02
    Cheshire (1577)221.29+7.71.05
    Yorkshire (1577)621.77+7.61.05
    Lancashire (1577)241.40+7.71.02
    Durham (1576)191.70+4.91.14
    Cumberland (1576)161.63+8.61.05
    Northumberland (1576)171.34+8.11.04
    Monmouthshire (1577)251.16+9.91.14
    Glamorgan (1578)151.12+8.01.10
    Mid and south Wales (1578)482.17+8.51.07
    Pembrokeshire (1578)71.04+10.01.05
    Montgomery (1578)251.57+8.81.06
    Denbigh and Flint (1577)251.38+11.31.16
    Caernarfon and Anglesey (1578)181.83+7.91.08

    05How I did this

    The scans are the Bibliothèque nationale de France copy of the atlas on Wikimedia Commons (41 files: the general map, the 34 county maps, a map of Scotland bound with them and five single sheets from other copies, which duplicate Devon, Dorset, Cornwall, Wiltshire and Somerset and were not used). For each sheet I read town symbols (church or castle), named in the engraving, on zoomed crops, guided by a prediction from the towns already read, and matched each to its Wikidata settlement point; I flagged each reading as certain, probable or doubtful in its exact point. 77% of county readings are certain. True positions were put on a flat frame in kilometres centred on each sheet. Every reading was then checked again on a zoomed crop; misplaced symbols were corrected and doubtful identifications dropped. A thin plate spline bends the true grid onto each sheet.

    Caveats
    Sources and licences
    Read the paperBlog postData and code