Evolution Does not Predict Traits are in Trees or Nested Clades
First off, one reason this is so confusing is that it is often falsely stated that evolution produces and predicts perfect nested clades. This is false. Totally false. Obviously false. Homoplasies are observations that do not fit the tree, and evolution predicts that they will be numerous. Not knowing this, some people (e.g. @Cornelius_Hunter and @Nonlin.org ) think that the mere existence of homoplasies is evidence against common descent. This is false. Common descent does not predict that there will be no homoplasies.
How long have we known this? For over 150 years. Wings are an example of a homoplasy. We see them on birds, bats, and insects. That is an example of a trait that does not fit in a tree. So, to be clear, common descent does not predict and never has predicted that traits fall into perfect nested clades.
That doesn’t stop bad arguments from evolution being made all the time. As I explained:
Empirical Data Demonstrates Homoplasies
So what about empirical data? How do we know this for sure?
We can look at DNA from several humans, and ask if that fits in a tree or not. This is a great control experiment, because we both agree humans arise by common descent (from other humans). So if we see variation in humans that does not fit in a tree arise (i.e. nested clades), that covers what we know from the theory: common descent does not produce data that perfectly fits in a tree.
We see exactly this. For a whole host of reasons, human variation does not fit in a tree. This includes (1) recombination, (2) population structure and migrations, and (3) convergent evolution, especially in HLA, (4) the birthday paradox, and (5) horizontal gene transfer (most commonly lysogenic viruses. Without parsing it out precisely, we just see that a graph fits the data much better than a tree:
Other Mechanisms at Speciation
Perhaps the most important additional mechanisms important with speciation (for example explaining homoplasies between humans and primates) are:
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Incomplete data, especially annotation of proteins (given the datasets that @Winston_Ewert used). This was correctly pointed out by @glipsnort.
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Incomplete lineage sorting. Given that know for a fact (given the human variation) that variation in a population does not fit a tree, it is no surprise that if we form a new species by partitioning a large population, we expect there to be homoplasies in the final population.
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I didn’t mention this to @Winston_Ewert , but convergent evolution is also really important. We see this in the human variation data regarding specific mutations: Heliocentric Certainty Against a Bottleneck of Two? - #18 by swamidass. At the level of proteins, convergent gene inactivation would be an easy mechanism to explain a large number of @Winston_Ewert’s modules.
There is more, but those are good starting points, that should be fairly easy to understand. Keep in mind that we’ve already known that the data does not fit a tree. Common descent does not predict the data fits a tree.
How Much Did Dependency Graphs Really Help?
This is perhaps one the of the more important points.
That means that the Dependency Tree only fits about 1.7% better than a tree. That is not very much. It is a very low improvement, that might vanish entirely if any of the factors we’ve pointed out above are addressed more carefully. A 1.7% improvement on noisy data is not going to be enough to convince people any ways.
I’ve not really even explained all the other relevant mechanisms. There are actually more causes than this, several more come to mind. This, however, should be enough to show you this work only unsettle a cartoon version of evolution, which we already know is false
Respect for Winston
@Winston_Ewert, to be clear, was a professional about this. He wrote:
That is really the right way to think about this. I’m really impressed by his attempt. He has a long way to go, but we are all going to be watching it closely. I wish him the best, and will help him any way we can. Give him time, and tell the polemicists to back off. All they do is hold him back.