76 Mr Harvey on the Increase of the Population 
have diminished* — but in the latter generally increased. Many 
facts of a very interesting nature may be drawn from this table. 
It is curious, for example, to observe, how, in some of the 
States, the representative numbers for the free population aug- 
ment, and become, in succeeding periods, denoted by oo ; prov- 
ing the slaves to have vanished ; — and how, in other cases, that 
a close equality should exist, between the relations of the slaves 
to the free persons, at different periods ; — that, although the 
former may have been augmented by increments of a very irre- 
gular kind, the free population should still maintain an uniform 
relation to them. The most striking example of this nature, is 
in the state of Virginia, where the representative numbers for 
the years 1800, 1810, and 1820, are each 1.5 ; notwithstanding 
both the increments of the free population and the slaves, in the 
different periods, were of a very unequal kind. The irregula- 
rities, therefore, in the increments of the slaves, must have been 
compensated by increments of a corresponding kind, in the free 
white population. In other instances, the results present ex- 
amples of numbers, forming arithmetical progressions. Ken- 
tucky and Missisippi present perfect cases of the kind, through 
the entire range of their numerical results, and North Carolina 
very nearly so ; although the increments which their free white 
and slave populations received, during the corresponding pe- 
riods, bear no visible relations to them. These singular rela- 
tions, together with the corresponding results of the whole po- 
pulation, are arranged in the following Table : 
Kentucky. 
Missisippi. 
North Carolina. 
J Entire Population. 
! Date. 
Relation of 
Slaves to 
Fr. Persons. 
Increments 
to Free Per- 
sons. 
Increments 
to Slaves. 
Relation of 
Slaves to 
Fr. Persons. 
Increments 
to Free Per- 
sons. 
Increments 
to Slaves. 
Relation of 
Slaves to 
Fr. Persons. 
Increments 
to Fiee Per- 
sons. 
Increments 
to Slaves. 
Relation of 
Slaves to 
Fr. Persons. 
Increments 
to Free Per- 
sons. 
Increments 
to Slaves. 
1790 
1800 
o 
<u 
r&o 
14.5 
199.9 
224.6 
O | 
QJ 
> 
Cj / 
( * 
1 1.5 
« 
* 
f2.9 
/ 2.6 
21.4 
32.5 
|i 
r4.6 
' 4*9 
35.1 
28.2 
1810 
1 4.0 
83.9 
99.7 
53 
1.4 
35.6 
389.8 
- 
zo 
2.3 
16.2 
26.7 
! 
,5.1 
36.1 
83.2 
1820 
II 
y3.5 
38.8 
57.3 
G 
O 1 
s 1.5 
87.0 
92.0 
o 
G 
o 
,2.1 
15.0 
21.5 
<D ! 
-G 
o 
[ 5,3 
32.9 
29.1 
It is very pleasing to observe, with respect to the entire po- 
pulation, that the free persons have increased in a greater ratio 
than the slaves, through the whole of the period, since the first 
authorised census. This conclusion may be inferred from one 
