Area equipped for irrigation module (41_area_equipped_for_irrigation)


The area equipped for irrigation module constrains irrigated crop production to those areas that are equipped with irrigation infrastructure and simulates the evolution of areas equipped for irrigation. The module receives information about the area actually irrigated from the crop module.



Name Description Unit A B
$fm\_years(t\_all)$ Containing the years of the t_all set (used for annuity cost calculation) years x x
$im\_years(t)$ Years between previous and current time step (used for annuity cost calculation) years x x
$pm\_annuity\_due(i)$ Annuity factor to distribute one time investments to the whole investment period (used for cost calculations) - x
$sm\_invest\_horizon$ Investment time horizon years x
$vm\_area(j,``kcr", ``irrigated")$ Area actually irrigated for all crops and all cells mio ha x x

The last columns of the table indicate the usage in the different realizations (numbered with capital letters)


Name Description Unit
$vm\_cost\_AEI(i)$ Irrigation expansion costs mio. US$2004

Interface plot

Figure 0: Information exchange among modules


(A) static

This realization assures that irrigated crop production can only take place, where irrigation infrastructure is present:

$ \sum \limits_{kcr} vm\_area(j,kcr,"irrigated") \leq v41\_AEI(j)$,

i.e. the sum of irrigated cropland ($vm\_area(j,kcr,"irrigated")$ over all crops in each grid cell has to be less than or equal to the area in this grid cell that is equipped with irrigation infrastructure ($v41\_AEI(j)$.

Area equipped for irrigation is fixed to input data (around the year 2000) for all time steps.
Source of the input data is Siebert et al. 20071:

No irrigation possible on areas that have not been equipped for irrigation in the past.

(B) endo_apr13 (default)

This realization is similar to the 'static' realization, except that it allows the model to endogenously decide on investments to deploy additional irrigation infrastructure, i.e. to increase the area equipped for irrigation (AEI).
Initial values for AEI in 1995 are taken from Siebert et al. 20071 . Contraction of AEI is not possible.

Investment costs in the current timestep for each region are calculated as the AEI expansion in each cluster of the region times the regional unit cost per hectare.
MAgPIE has a common planning horizon to which all one time investments are distributed using an annuity approach. Due to this distribution, part of the costs from previous investments in AEI still entail costs in the current timestep.

$ vm\_cost\_AEI(i) = \sum \limits_{j(i)}{(v41\_AEI(j)-pc41\_AEI\_start(j))}\cdot pc41\_unitcost\_AEI(i)/pm\_annuity\_due(i)+pc41\_cost\_AEI\_past(i) $

Unit costs per hectare for AEI expansion are derived from a World Bank study (World Bank 19952).
We use adjusted unit costs per region (discounted to US$2004) from Table 6.1. The region mapping is as follows:

Figure 1: Mapping between MAgPIE regions and the regions in World Bank 19952.

These costs converge linearly towards Europe until 2050.

Figure 2: Unit costs for AEI expansion in MAgPIE.

This realization increases model complexity.


Name Description Unit A B
$v41\_AEI(j)$ Area equipped for irrigation in each grid cell mio. ha x x
$p41\_AEI\_start(t,j)$ AEI at the beginning of each timestep mio. ha x
$pc41\_AEI\_start(j)$ AEI at the beginning of the timestep mio. ha x
$pc41\_unitcost(i)$ Unit costs of AEI expansion $\frac{US\$2004}{ha}$ x
$pc41\_cost\_AEI\_past(i)$ Remaining costs from investments in previous time steps $\frac{US\$2004}{ha}$ x
$p41\_cost\_AEI\_past(t,i)$ Remaining costs from investments in previous time steps $\frac{US\$2004}{ha}$ x
$f41\_c\_irrig(i)$ Unit costs of AEI expansion $\frac{US\$2004}{ha}$ x

The last columns of the table indicate the usage in the different realizations (numbered with capital letters)


Anne Biewald, Markus Bonsch, Christoph Schmitz

See Also

core, 42_water_demand, 43_water_availability, Overview


1 [Siebert et al 2007] Stefan Siebert, Petra Döll, Sebastian Feick, Jippe Hoogeveen and Karen Frenken (2007)
Global Map of Irrigation Areas version 4.0.1.
Johann Wolfgang Goethe University, Frankfurt am Main, Germany / Food and Agriculture Organization of the United Nations, Rome, Italy.

2 [World Bank 1995]The World Bank and irrigation 1995 (file attached).