Can someone give me a logically persausive explantion of the fact that smaller sensors have lower DR?
This is the comparison of D800 FX and DX . Same sensor, same pixels. I cannot make the logical leap that is needed to grasp why trimming off the outside of the frame reduces the DR of what is left. Surely cropping in processing won't do the same (rationally it cannot) but I'm at a loss to understand why.
This is a much simplified explanation which I hope will help you understand the basic principles.
Dynamic range is the ratio between (a) the darkest point where details in a photo (the signal) can be made out without being obscured by noise and (b) the brightest point where details are lost because of clipping.
Although we think of light as being constant it is, in fact, a quantum phenomenon and is subject to random variation. It's that variation that causes (indeed, actually is) noise - with a constant signal things would always be the same brightness or darkness, but noise makes something that should be the same randomly brighter or darker.
The noise in light itself (nothing to do with the electronics in the camera) varies with the inverse square of the amount of light - which is measured by the number of photos. Four times as many photons suffer only twice the amount of noise.
At point (b) there are many, many photons so there is little variation and noise is effectively the same for both sizes of sensor. What concerns us is the dark end.
When measuring noise
on the sensor (not individual pixels) the DX size is under half the area of the full frame so it collects under half the number of photons. This makes it noisier - by a factor of about 0.7 - so that would reduce the DX DR because it lifts the bottom end (point (a). It's too simplistic to say that it just knocks 0.7 stops off the
sensor DR but the measured difference on the charts is 11.41 - 10.6 = 0.81 stops so it's not grossly untrue.