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Surnames and a Theory of Social Mobility - University of Chicago ...

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In the years 1890-1980 fertility was consistently higher for lower status families<br />

in countries such as the USA, Engl<strong>and</strong>, <strong>and</strong> Sweden. In this case the surname<br />

estimate <strong>of</strong> b will be biased towards 0 for elite surnames, <strong>and</strong> away from 0 for<br />

underclass surnames in these years. In the years before 1800 in Engl<strong>and</strong> <strong>and</strong> Sweden<br />

fertility was substantially higher for upper class groups. Thus for elite surnames in<br />

the pre-industrial world, the estimate <strong>of</strong> b will be biased upwards, <strong>and</strong> for underclass<br />

groups biased downwards. We shall see below that for some groups, this<br />

demographic bias can be so strong that a surname will appear to be moving away<br />

from the mean.<br />

In looking at social mobility through surnames in some cases we have direct<br />

measures such as wealth in Engl<strong>and</strong> 1858-2012 (Clark <strong>and</strong> Cummins, 2012). Then it<br />

is easy to estimate b from the equation<br />

̅ ̅ ̅ ̅<br />

where ̅ is the average log wealth at death <strong>of</strong> surname group R, <strong>and</strong> ̅ is the<br />

average wealth at death <strong>of</strong> Engl<strong>and</strong> as a whole. Figure 5 shows this information for<br />

Engl<strong>and</strong> for three initial rare surname groups: wealthy surnames at death 1858-87,<br />

prosperous surnames at death 1858-87, <strong>and</strong> poor surnames at death 1858-87. A<br />

sample <strong>of</strong> the surnames used are shown in table 5, labelled just as samples A, B <strong>and</strong><br />

C. These surnames are rare enough that the surnames themselves are not doing any<br />

work in slowing the regression to the mean. Thus most people reading this will not<br />

be able to discern which surnames belonged to the rich, prosperous <strong>and</strong> poor<br />

samples. 6<br />

Table 6 shows the average implied estimate <strong>of</strong> b for each period, <strong>and</strong> across the<br />

5 generations as a whole. Since the poor group is much closer to average wealth<br />

than the two richer groups, the b estimate here is much noisier, as can be seen in the<br />

variance <strong>of</strong> the estimates in the last row <strong>of</strong> table 6. Looking at the top two wealth<br />

groups we see quite stable average estimates <strong>of</strong> b across the 5 generations - 0.75,<br />

0.66, 0.73, <strong>and</strong> 0.74 – for an overall average <strong>of</strong> 0.72.<br />

6 Sample A is the rich, B the poor, <strong>and</strong> C the prosperous.

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