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```
#function to compute application uniformity of low quarter (AELQ)
#AELQ assumes an application depth in the low-quarter greater than current soil-moisture deficit (SMD) and thus
#accounts for losses below the root zone in addition to non-uniformity. As such, AELQ<=PELQ by definition.
#When the application in the low-quarter matches the overall SMD, then AELQ=PELQ
#Formulaicly, the equation is SMD over average applied (pumped), not low-quarter pumped. Mirriam and Keller, 1978,
#Farm System Irrigation Evaluation: A Guide for Management, PP 43,44
#rate is sprinkler flow rate, ss is sprinkler spacing, sl is lateral spacing, dur is irrigation duration, smd is soil
#moisture deficit at the time of irrigation event
"AELQ"=function(x,rate,ss,sl,dur,smd,SI=TRUE)
{
#get subarray of low quarter
x<-sort(x)
end<-round(length(x)/4,digits=0)
infil<-mean(x[1:end])*dur # determination of infiltrated (caught) depth to compare with SMD
# if infil>SMD then AELQ=smd/avg. applied depth, else AELQ= low quarter caught depth/avg. applied depth
#SI use mm for depth, meters for spacing, lpm for sprinkler flow rate, hr duration
#US Customary use in. for depth, feet for spacing, gpm for sprinkler flow rate, hr duration
if(infil>=smd){
if(SI){smd/((rate/1000/(ss*sl)*dur*60)*1000)*100}
else{smd/(96.3*rate/(ss*sl)*dur)*100}}
else{
if(SI){infil/((rate/1000/(ss*sl)*dur*60)*1000)*100}
else{infil/(96.3*rate/(ss*sl)*dur)*100}
}
}
```

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