Canon 1Ds MII has a 17.0MP Full frame (36 x 24 mm ) sized CMOS sensor . On the other hand, Canon 1Ds has a 11.0MP Full frame (35.8 x 23.8 mm ) sized CMOS sensor .
Canon 1Ds MII's sensor provides 6MP more than Canon 1Ds's sensor, which gives a significant advantage in real life. You can print your images larger or crop more freely.
On the other hand, please keep in mind that Max sensor resolution is not the only determinant of resolving power. Factors such as the optical elements, low pass filter, pixel size and sensor technology also affects the final resolution of the captured image.
Below you can see the 1Ds MII and 1Ds sensor size comparison.
Canon 1Ds MII and Canon 1Ds have almost the same sensor size so none of them has any significant advantage over other in providing control over depth of field when used with same focal length and aperture.
DxOMark Sensor Scores
Both Canon 1Ds MII and Canon 1Ds sensors have been tested by DxoMark. DxoMark scores camera sensors for color depth (DXO Portrait), dynamic range (DXO Landscape) and low-light sensitivity (DXO Sports), and also gives them an overall score. Of the two cameras that we are comparing, 1Ds MII has scored 74, 11 points higher than 1Ds.