Main indexes

Urban density

$U D_{t} = \frac{S u r U_{t}}{A_{r}} [%]$

$S u r U_{t}$ = urban surface area at time t

A_r = reference surface area

Urban variation ratio

$U V R_{t_{1} - t_{2}} = \frac{S u r U_{t_{2}} - S u r U_{t_{1}}}{S u r U_{t_{1}}} [%]$

$S u r U_{t}$ = urban surface area at time t

Urban conversion speed

$U C S_{t_{1} - t_{2}} = \frac{S u r U_{t_{2}} - S u r U_{t_{1}}}{n} [\frac{kmq}{year}]$

$S u r U_{t}$ = urban surface area at time t

n = number of years between t₁ and t₂

Agriculture density

$A D_{t} = \frac{S u r A_{t}}{A_{r}} [%]$

$S u r A_{t}$ = agriculture surface area at time t

A_r = reference surface area

Crop production potential loss

$C P L_{t_{1} - t_{2}} = Δ S u r_{A - U} * {\bar{Y}}_{w h e a t} [\frac{tonne}{year}]$

$Δ S u r_{A - U}$ = land take from agriculture

areas between t₁ and t₂

${\bar{Y}}_{w h e a t}$ = mean yield for wheat

Lost crop production per capita

$L C P_{t_{1} - t_{2}} = \frac{C P L_{t_{1} - t_{2}}}{P o p_{t}} [\frac{tonne}{year * inhab .}]$

$C P L_{t_{1} - t_{2}}$ = Crop production potential loss

Pop_t = inhabitants at time t