Problem $6(10$ points$)$

Average daily streamflows on a river that drains a $\backslash (2000\backslash$mathrm$\{$~km$\}^\{2\}\backslash )$ watershed were recorded for $13$ consecutive days and the measurements are as follows:

$\backslash$begin$\{$tabular$\}\{|$l$|$l$|$l$|$l$|\}$

$\backslash$hline Time $($d$)$ & Flow $\backslash (\backslash$left$(\backslash$mathrm$\{$m$\}^\{3\}/\backslash$mathrm$\{$s$\}\backslash$right$)\backslash )$ & Time $\backslash ((\backslash$mathrm$\{$d$\})\backslash )$ & Flow $\backslash (\backslash$left$(\backslash$mathrm$\{$m$\}^\{3\}/\backslash$mathrm$\{$s$\}\backslash$right$)\backslash )\backslash \backslash$

$\backslash$hline $0$ & $74$ & $7$ & $108\backslash \backslash$

$\backslash$hline $1$ & $67$ & $8$ & $82\backslash \backslash$

$\backslash$hline $2$ & $56$ & $9$ & $69\backslash \backslash$

$\backslash$hline $3$ & $237$ & $10$ & $63\backslash \backslash$

$\backslash$hline $4$ & $1920$ & $11$ & $57\backslash \backslash$

$\backslash$hline $5$ & $607$ & $12$ & $51\backslash \backslash$

$\backslash$hline $6$ & $168$ & & $\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$

Plot the direct runoff hydrograph and estimate runoff depth $($cm$)$ using the concave method. $($Hint: runoff depth $=$ total volume of direct runoff$/$watershed area.$)$