I have heard claims that all change in biology is sudden, but I do not know fully what is meant by that. There are events in biological systems that happen rapidly. Biochemical reactions, nerve impulses, conception, receptor binding all could be classified as sudden to a degree. Nerve impulses are still much slower than electricity travelling along a wire though.
But there are numerous examples of slower processes in biology. Starvation does not happen suddenly, though quickly in some cases. Depending on the species and the locations, migration could take a little or a lot of time. Plenty of species migrate over great distances within the frame of a season or a year. Much slower than nerve impulses.
Change in species over time is not sudden, though we do have evidence that it varies and in some instances, the evidence supports it can be very rapid geologically followed by extensive periods of stasis (little significant change).
I can think of many examples of biological events that occur at different rates from sudden to slow.
I think you would all agree that sudden needs to be defined. That is imprecise at best to claim sudden as the rate of change without even knowing what that means.
I am not arguing that some changes in living things are not relatively quick, but how can all biological change be sudden?
I propose that sudden be viewed as relative to the conditions and the time scale under discussion. Sudden in reference to evolution, for instance, is commonly on a geological time scale or over 100's, 1000's, tens or hundreds of thousands of generations. That any claim of sudden change be explained in that relation. Caution would be against making sudden, suddenly cover all time frames rendering its application useless as a descriptor of the time of change.
If anyone has evidence or different ideas about change in living things and the rate, I would be interested in seeing that explained.