Let's interpret what we are seeing: the spectrum seems to be made of the pointwise multiplication of 2 known Fourier patterns:
- a first one is the usual messy image Fourier transform
- a second pattern that modulates the image spectrum and that has a $sinc$ shape.
Now, let's see what the theory provides us:
- multiplication in the spectral domain is a convolution in the spatial domain => we are observing the convolution of an image by a blur kernel
- the inverse Fourier transform of a $sinc$ is a box => the blur kernel has an horizontal box shape (we can infer that from the orientation of the zero bands).
Finally, let's summarize: the image was blurred by a linear (horizontal) kernel.
This is a typical example of motion blur, where the motion is horizontal.
This is confirmed by looking at the original image.
And as a bonus, here is a paper where special shapes of motion blurs are designed, where the blur shapes do not have zeros that will disturb the deconvolution process:
http://web.media.mit.edu/~raskar/deblur/CodedExpousreLowres.pdf