of some Doctrines of Political Economy. 225 



brings this quality of land into cultivation. The rent will be 



changed from 



apt — acq 

 to ap'r + p'a^r^ — ac'q - qa„c'„. 



{N.B. In this case a, ar, and ac do not include a„.) 



Let c' = c (1 -y), c', = c„(l - y„). 



Also let a„r„ = uar, a„Cn = vac, ;/ = (l - w)p, as before. 



Hence the rent increases from apr — acq, to 



apr (1 —id) + apru {l—ic) — acq (1 —y) — acqv{l —y„); 



the increase is 



apr {u — w — uw) + acq \y - v {1 — y„)\. 



The rent is increased by the increased produce, and dimi- 

 nished by the fall of price. 



The conditions of price before and after the improvement, 



give us 



pr„_i = c„.,q, p'r^ = c'„q, 



. P' c'„r„_, c'„ c„r„_ , . ^„ :f c„r„_, 



. . — = = — . ; or II = 1 + p, 



p c„.,r„ c„ c„.ir„ c„.ir„ 



l-w = {l-yj{l+p). 



Let the same suppositions be made as before in Art. 22, 

 respecting the relation between the produce and the quantity of 

 the lowest soil. Then we shall have 



p =m{/j.- l)u. Also let w = eu, 



1 Ctt 2/ 



.•. ; — -=1— Vn, and omittinff u^, &c., u = — ; — ," . , . ' 



Also as in the last Article, 



acq = apr - ; whence the increase of rent becomes 



apr 1^ — m(i — 3/„) — a) + u — um 

 Vol. III. Part I. F p 



