“…Consumptive uses ( CU i,k , l ) and return flows ( RF i,k , l ) are derived from withdrawals ( W i,k , l ) based on water use category i , source k , and point location l : where cu i is the consumptive use coefficient for water use category i . Consumptive use coefficients for the seven water withdrawal sectors are taken from Shaffer and Runkle's [, ] publication on consumptive use coefficients for the Great Lakes region. Because consumptive use coefficients can vary widely within water use sectors, virtual water trades are calculated using median, lower, and upper values identified by Shaffer and Runkle [, ].…”