[R] How to select multiple cells in a matrix and perform an operation on corresponding cells in another matrix of the same size?

[Vermeulen, Lucie]

I am trying to write an R script to do pollution routing in world rivers, and need some help on selecting matrix cell coordinates and applying these to other matrices of the same dimension.

My data: I have several matrices corresponding to hydrological parameters of world rivers on a half degree grid (360 rows, 720 columns). These matrices represent flow accumulation (how many cells flow into this cell), flow direction (which of the 8 surrounding cells does the load of certain cell flow to) and pollutant load.

My idea: compute pollutant load in each grid cell from the start to the end of a river. I can base this on flow accumulation (low to high). However, each river basin can have multiple cells with the same flow accumulation value.

The problem: I need to select all matrix cells of each value of flow accumulation (low to high), find their coordinates (row,column), and transfer the corresponding pollutant load to the correct adjacent cell using the flow direction matrix. I have tried various ways, but selecting the coordinates of the correct cells and applying these to another matrix I cannot get to work.

I will give an example of what I have tried, using two for loops on one single river basin. In this example, a flow direction value of 1 means that the pollutant load needs to be transferred to the adjacent cell to the right (row is the same, column +1):

 BasinFlowAccumulation <-FlowAccumulation[Basin]

 BasinFlowAccumulationMaximum <- max(BasinFlowAccumulation)

 BasinFlowDirection <-FlowDirection[Basin]

 BasinPollutant <-Pollutant[Basin]


 b<-0

for(i in 0:BasinFlowAccumulationMaximum){

cells.index<-which(BasinFlowAccumulation[]==b, arr.ind=TRUE)

for (j in 1:length(cells.index)){
    print(BasinFlowDirection[cells[j]])
    Row<-BasinPollutant[cells[j[1]]]
    Column<-BasinPollutant[cells[j[2]]]
    ifelse(BasinFlowDirection[cells.index[j]]==1, BasinPollutant[Row,(Column+1)]<- BasinPollutant [Row,(Column+1)]+ BasinPollutant [Row,Column]

 }
b<-b+1

 }



Any advice would be greatly appreciated!

Lucie Vermeulen, PhD candidate at Wageningen University, the Netherlands