Alkaline batteries on the other hand have near linear increase in output resistance as the batteries capacty is used up, consequently the alkaline battery voltage drops to a voltage under load that is below the rated FV of the LED far more quickly, long before thier real capacity is used up. After going below the rated VF of the LED the current draw is dramatically reduced. This allows the alkaline battery to continue to deliver close to its rated capacity but at reduced light output. By the time the current drops to 1/4 the normal current rating of the LED the efficiency of the LED has dramatically improved & is delivering 1/3 to 1/2 the rated lumens. At this level of current draw the alkaline battery can last a quite a while. Even so the actual lumens for the alkaline batteried torch will drop a fair amount further before the NiMH battery starts losing noticable brightness. By the time the lumen output reaches 1/8 the original intensity with the alkaline battery the alkaline battery will likely be brighter than the NiMH battery as the NiMH battery will be falling on it's face by now & continue for many more hours that way as they will still have some capacity wheras the NiMH battery would be pretty much dead.