Qs:
Quantity of municipality solid waste for one year (kg).

P:
Population of city for one year.

The rate of increment for municipality solid waste
generation rate of Sulaymaniyah city was 0.013 (kg /capita / day) (RGI) based
on values of waste generation rate in 2009 and 2016 is:

Where:

RGI:
Rate of increment for solid waste generation rate.

GRW2016:
Solid waste generation rate was 0.794 (kg / capita / day) of year 2016
(Sulaymaniyah directory of municipality).

GRW2009:
Solid waste generation rate was 0.69 (kg / capita / day) of year 2009
(Sulaymaniyah directory of municipality).

n:
Period (years).

The population for each year from 2016 until 2032 was
calculated as follows:

Eq. (3.16) is used to determine the municipality solid waste
generation rate for year 2032 or specific year (GRSW) depended on present
generation rate of solid waste for year 2016 from Eq. (3.13) and rate of
increment for solid waste generation rate of each year from Eq. (3.14), this
equation similar to equation that used by (Al-Rawi and Al-Tayyar, 2012).

Where:

GRSW:
Generation rate of municipality solid waste for each year.

GRW:
Present solid waste generation rate for year 2016 from Eq. (3.13).

RGI:
Rate of increment in solid waste generation per year from Eq. (15).

n:
Number of year.

The quantity of solid waste (Qs) produced each year till
year 2032 was depended on generation rate of municipality solid waste for
specific year (GRSW) from Eq. (3.16) and future population for specific year (Pt)
from Eq. (3.14) was calculated as:

Or

Qs:
Quantity of solid waste produced each year (tonne).

The cumulative quantity of municipality solid waste
generated by 2032 can be calculated as:

Where:

Qs
(c): Cumulative quantity of municipality solid waste for the specific year
(tonne).

Qs
(ct): Quantity of municipality solid waste for the specific year (tonne).

Qs
(ct-1): Cumulative quantity of solid waste for the last year before specific
year (tonne).

– For illustration the cumulative municipality solid waste quantity
in 2032 Qs(c) is equal to the solid waste quantity produced in 2016 Qs(ct) from
Eq. (3.18) by adding the cumulative
quantity of solid waste in 2031 Qs(nt-1) to quantity of municipality solid
waste in 2032, accumulatively from year 2016 until 2032, the increment is done
through adding the value of current year to past year until year 2032 as: