TST: Population information for Yarrow and places above it in the hierarchy

Population information for Yarrow and places above it in the hierarchy

Here are some figures showing the parish's population through time:

Here are some figures showing the county's population through time:

A useful work is Scottish Population History from the Seventeenth Century to the 1930s, edited by Michael Flinn and published by Cambridge University Press in 1977.
Another work in this field is James Kyd's Scottish Population Statistics which was published by the Scottish Academic Press in 1952 and reprinted in 1976.
Here are some population figures for Scotland throughout the ages.

Population of Scotland

Here are some statistics showing Scotland's population throughout the ages (sources: old directories, gazetteers, almanacs, census statistics etc):

before 1800 (mostly very approximate)
Year Population
1600 800,000
1707 1,000,000
1755 1,265,380
19th century
Year Population
1801 1,608,420
1811 1,805,864
1821 2,091,521
1831 2,364,386
1841 2,620,184
1851 2,888,742
1861 3,062,294
1871 3,360,018
1881 3,735,573
1891 4,025,647
20th century
Year Population
1901 4,472,103
1911 4,760,904
1921 4,882,497
1931 4,842,554
1939 5,006,700
1951 5,096,000 (*)
1961 5,179,000 (*)
1971 5,229,000 (*)
1981 5,130,735
1991 4,962,152

Note: (*) indicates that a figure is the population total accurate to the nearest thousand.

Statistics on the population of the British Isles (archived copy).
Histpop, the online historical population reports website, in its census section provides access to all the published population reports for Britain and Ireland from 1801 - 1937. The site has a huge amount of statistical information both at a county level and at a parish or district level. There is no personal information on the site.
Comparative Account of the Population of Great Britain in the years 1801, 1811, 1821, and 1831. House of Commons (19 October 1831) 432pp. (Provides parish-level population counts, for England, Wales and Scotland.)