No, many forms of natural selection have no connection to predation.
Mutation.
Simulation of evolution typically models natural selection by incorporating mechanisms such as random variation, heritability, and differential reproductive success. Individuals with advantageous traits have a higher chance of survival and reproduction, passing on those traits to offspring. Over multiple generations, these advantageous traits become more prevalent in the population, mimicking the process of natural selection in real-life populations.
No, the two of them used algebra and probability to model population biology, not natural selection, however similar the two may be.
Natural selection is the gradual, non-random process by which biological traits become either more or less common in a population. It is a key mechanism of evolution. The term "natural selection" was popularized by Charles Darwin who intended it to be compared with artificial selection, what we now call selective breeding.
When it comes to natural selection, only the strongest stag beetles survive to reproduce. During reproduction, they pass their genes off to the offspring.
The Holocaust has nothing to do with natural selection, or vice versa. The Holocaust was the result of atrocious crimes committed under the leadership of a few madmen, inspired by a long tradition of antisemitism. Natural selection is a model that describes differential reproductive success in natural populations, under natural circumstances.
The Darwinian model of evolution by natural selection has not been disproved.
Allele frequency is inherently stable.
Genetic drift is the spread of specific random variations throughout the gene pool in the absence of specific selection pressures. There's always random variation in the population, but there aren't always changes in the environment for the population to adapt to. So natural selection, in stead of moving the population towards adaptation, might select from that random variation to move 'sideways', as it were, to a state that's equally well-adapted to the environment as what came before, but different. As random variation may produce many variants that are, more or less, equally well-adapted to their environment, the direction of evolution that results is more or less random.
They describe different things, so they cannot really be compared. Natural selection is the mechanism that gives direction to evolution. Punctuated equilibria is a model for the varying rates of adaptation caused by natural selection.
Open the model, select the model, then, click on File, Save Selection As Model. If you want it as a model, select it then Publish Selection to ROBLOX.
It is meant to indicate the Darwinian model for evolution, as opposed to for instance the Lamarckian model. It would be true that evolution occurs and has occurred even without Darwin; but until Darwin, various explanations would have been possible for why and how it happens. Darwin first formulated the thesis that evolution is directed by differential reproductive success.