The total light energy delivered to the sensor is determined by exposure x surface area. If the image is cropped, either in-camera or in post, the surface area of the removed content is light discarded and not used to make the photo.Is light defined at the per pixel level or over the entire sensor?Not better; different. Interpolation at this level is more akin to graphic design than photography. The resulting image is an illustration not a photograph.I don't see pixels as being lost, the outer edges of an image are not important when you want a high degree of zoom and intelligent digital zoom has evolved to the point where the interpolation is rather good in many cases (Fuji, Olympus, Nikon) as good as a cell phone. I compared it to frontside teleconverters and in many cases intelligent digital zoom is better.It is hard to overstate just how many are lost. A 5x crop from a 30MP FF sensor leaves only 1.2MP, which doesn't even fill a FHD monitor's height at 1:1 pixel view.Digital zoom is often regarded as effectively the same as optical zoom except that we lose a lot of pixels in the process.
What could work out nicely is something like a 400MP FF sensor and a very expensive 200mm f/1.4 prime lens heavily corrected to have low aberration wide-open (at least in the center of the image circle). Then, digital zoom can go pretty deep before you have too few pixels or not enough analog resolution. Even if there was still some aberration allowed in the corners of the full sensor (to keep the lens realistic), the aberration could still be low in the center, where you are actually doing the zooming.
The PSF of aberration is much larger than the PSF of diffraction with many fast FF lenses (especially the lighter and more inexpensive ones) wide open, and so with such lenses, aberration kills analog resolution in digital zoom faster than diffraction does. I remember that expatusa gave a scenario about a year ago of an 18-200mm zoom, where the total blur size, including diffraction and aberration, was 2x the diameter at 200mm as it was at 18mm, making 18mm sharper, at the frame or pixel level. To some that might be seen as an indication that one should crop from the short end, but if you consider the subject-level blur, from a given distance, it will have 5.5x the diameter at 18mm than at 200mm. We could say that the angular analog resolution is about 5.5x better at 200mm, despite half the sensor-relative analog resolution.However, the DoF of a digital zoom is also different from that of an optical zoom with a constant f-number. (Most zoom lenses keep the f-number constant (as far as possible) as the lens is zoomed.)
A shot taken at focal length f and f-number N and digitally zoomed to focal length nf will have the same DoF as an optical shot at focal length nf and f-number nN.
There seems to be a sizeable number of people who use smaller sensors who won't accept the f-number equivalence, but relish the focal-length equivalence. Long focal-length equivalence can be a cheap parlor trick, because to achieve it, you don't need much pixel resolution or analog resolution; you just need a limited FOV or AOV. With an EVF or LCD, this could make it easier to watch small/distant subjects and see what they are doing or gauge how well AF is sticking to the subject, with the magnified view, but nothing regarding maximum subject quality is guaranteed by long equivalent focal lengths.A concrete example: suppose the lens is 25mm f/8 and you digitally zoom by 5x. The shot you get will have the same depth of field as an optical shot at 125mm f/40 (not 125mm f/8 as might be expected).
Fortunately, these lenses designed for small sensors can have very low aberration. If a cell phone has a 20mm f/1.8 lens for telephoto, you can be very sure that it is much sharper lens with a small sensor than any affordable 20/1.8 designed for a FF camera adapted to a small sensor behind it, which will have much more aberration, even in the center of the image circle, despite having the same diffraction.Many of us have phone cameras that use digital zoom for the longer focal lengths. Phone cameras often seem to give remarkably large DoF, even at the telephoto settings. This is one of the reasons why.
For more detail on working out the focal length, see this post.
The larger sensor camera is typically at a longer focal length. Cropping and digital zoom don't alter the focal length used. These practices alter angle of view. They also decrease the total light used to make a photo and, as a result make noise more prominent.The thing about small sensors I like for birding photography (for example) is that the highly pixel packed sensors allow for higher resolution of fine detail. These cameras should be used at base ISO and in bright conditions and then they will outperform larger sensors at lower focal lengths.
Bird photography and exposures compatible with base ISO only go together when perched birds are the subject. Photographing launch, landing, and birds in-flight is a fast shutter speed/low-light genre, even in midday light. If that activity peaks around sunrise or sunset, you're working with even less light.
The notion that a deep crop will result in an image resolving more real detail than an uncropped photo made with a same-size or larger sensor camera is pure fantasy. The cropped photo will be made with less light. It'll be noisier, less detailed and have worse color fidelity. It will also be made with fewer pixels which will compromise image quality even more.
Image tonal lightness is maintained. However, cropping (aka digital zooming) reduces the light energy used to make the photo. Light energy captured by any area of the sensor where image content is removed does not contribute to the final cropped image.Doesn't intelligent digital zoom increase the brightness of the image to match the original uncropped image?
Shot noise in a photo is proportional to the square root of the total signal. The less total light used to make a photo the more prominent shot noise becomes. Downsampling creates a smaller image. Eventually, it becomes so small as to be useless.Is that what causes more noise? Would downsampling down to a happy medium reduce this issue?
Please, share sample photos of the same subject photographed in the same light by full frame and 1/2.3-inch cameras demonstrating this. Include the circumstances under which both photos were made.Olympus cameras have a feature where they let you take both optical zoom only and +digital zoom versions in the same shot. The optical zoom only version is RAW while the +jpeg version can be +digital zoom. I find it interesting comparing the two since they are taken at the same instant of time.
Yes I fully agree with perched birds being best using this method. For example with the Nikon P900 at full tele I see feather detail I haven't seen with larger sensor cameras.
Clearly, you enjoy using the gear you have. I'm not here to argue you should change systems. Keep using what you enjoy and delivers results that please you.I have a little trick I use for birds landing or taking off from a feeder or perch though. Focus is set on the feeder or perch and just take pictures of them taking off and landing. The resolution isn't as great as it is with perched birds of course, but it's fun and interesting seeing the patterns on their wings when extended. I've photographed some fun Mockingbird mating dances this way, the male doesn't move closer or farther than the perch so the focal distance doesn't change and just goes up and down and does somersaults and cartwheels in the air before diving back down to the perch. I usually use my M43 gear for this in extended burst mode using the electronic shutter.
To shoot fast motion of birds in flight I sometimes use the 4K Photo mode of my Panasonic FZ300 (a nice little camera, constant f/2.8 aperture) 30 fps and continuous focusing. That might be the best bridge camera that was ever made.
That said, a 1/2.3-inch camera is not resolving finer detail than a larger format system working in the same light and filling the frame with the same subject. Here's a link to the DPR Studio Scene comparing full frame, APS-C, micro four thirds, and 1/2.3-inch systems noise performance and detail when working with the same weak exposure.