The reproduction of individuals is the means by which genetic modifications are transmitted and spread in a population.
The reproduction of individuals is the means by which genetic modifications are spread to their descendants. But that doesn't make their descendants anything more than a variant group within the species. It doesn't account for change in the populations.
If you have in one generation 10 individuals born with a specific genetic change and each passes on that change to its descendants (and meanwhile 99% of the individuals are passing on their unchanged genes to their descendants) you get Mendelian balance, not an evolving population. You now have a population which is mostly in stasis (little to no physical change in form) with 10 different variants.
So reproduction alone does not account for evolution. You need a pattern of reproduction that allows one variant to become more common in the population. You need one of those individuals to have more descendants than others on a consistent (non-random) basis.
I was pointing out the fact that scientists do not stick with the biological definition in practice. It would be unreasonable to do so. There are many species that are capable of breeding with other species.
Ah, there's your error. The biological definition of species does not exclude the capacity of breeding with other species (as long as they are closely related). The biological definition of species (applicable only to sexual reproduction) is that the two species do not normally interbreed in nature. The key verb is "do" not "can". The occasional hybrid mating does not violate this definition. Nor does hybrid mating in non-natural conditions.
So scientists are sticking with the biological definition. You are using a narrower definition than scientists do.
In the taxonomic system,a genus is a group of species that are structurally similar,even if they have not been seen to be related.
That used to be true. It was the only definition possible under the Linnaean system which did not consider biological relationships.
However, what the theory of evolution does is explain why a group of species is structurally similar. They have similar structures because they inherited them from the same ancestor. So, the structural definition ties into the common descent definition in that common descent makes sense of the structural definition. And especially of the way structural similarities are distributed among species. (nested hierarchy). The only known process that naturally produces a nested hierarchy is descent from common ancestors.
The evolutionary explanation also allows us to predict less obvious features than structure as well. Species which inherit the same physical structure also inherit the genes which govern the production of those structures. So we should expect a genetic as well as a structural resemblance.
And we find that is the case.
Even though species in the same genus have similar structure, they also differ in unique ways. We should find genetic differences which correspond to those differences. And we do.
We can even do a sort of "genetic archeology" and find in species genes used by their ancestors that are not used today such as the genes for teeth in chickens or the GULO gene (which synthesizes vitamin C in most mammals) in humans and other hominids where it is non-functional.
The GULO gene is particularly interesting because hominids not only have a non-functional gene: it is non-functional for the same reason. There are a few other mammals that also have a non-functional GULO gene, but the reason for the lack of function is different.
One has to ask: what are the chances that structurally similar but non-related species would not only share a genetic defect, but the very same genetic defect, if they did not all inherit it from the same ancestor.
Phylogenetic research cannot show that there was ever reproductive relatedness between species.
That depends on what you accept as evidence. If you don't even accept the sort of DNA evidence used to establish paternity, then, of course, you have hamstrung phylogenetic research.
We cannot know if there was common descent between species unless they have been seen to be reproductively compatible or if one group has been seen to emerge from another.
We can only document common descent through observation when we can actually study the dividing of populations in real time. That's true. But we can infer the probability of common descent from evidence in cases where direct observation is not possible. This is a perfectly legitimate scientific procedure. It is the sort of science that a weather forecast is based on. That is why your weather reporter will tell you what the probability of precipitation is in your area over the next 24 hours. It is also the way DNA is used in cases of disputed paternity. The biochemist who analyzes the DNA samples will report not that so-and-so IS the father of the child, but that there is X% probability that he is. In exactly the same way, we can estimate the probability that two species have the same ancestor. And how remote in time (and generations) that ancestor is.
I said no because you did not describe macro-evolution. Your definition of genus was wrong anyway.
You are describing macro-evolution as a degree of change. But if you ignore the process of how the change happens, you are not really describing macro-evolution.
My definition was not incorrect. Above, you yourself spoke of a genus as composed of species that are structurally similar. Well, the two species we end up with after a speciation, are structurally similar. So they constitute a genus, even by your definition.
I know that it is not the process. I don't believe macro-evolution happened so I do not call it results either.
Whether you believe it happened or not, you still have an idea of what it is supposed to be. As I said "macro-evolution" can apply both to the description of resulting changes and to the process by which those changes happened. It would make sense to say you don't believe in macro-evolution if by that you meant that the process described cannot produce the observed differences. That is something we could discuss.
But a simple a priori disbelief in macro-evolution cannot be argued with because it has no rational foundation.
Speciation only results in sub-species with less genetic variability than the original population had. Macro-evolution cannot happen with groups that continually sub-divide into groups with diminished potential for variation.
That process is the inverse of macro-evolution. It leads toward a genetic bottleneck.
Speciation by definition results in species. The populations would have been sub-species prior to speciation, but now they are species. That is why Darwin called sub-species "incipient species". Yes, they do, at the time, have less genetic variability than the original population. However, there are other processes that increase the variability of any species--so this is not a permanent situation.
What is key to macro-evolution, is that since speciation has occurred, the increase in variability in the two species will not be the same. Nor will it be homogenized through interbreeding (as it can be so long as they are only sub-species). Nor will the moulding of the new variability in particular directions by natural selection be the same. So post-speciation, the species will inevitably diverge from one another. This sets the stage for those big differences that you identify as macro-evolution.
Macroevolution, the process produces macroevolution, the history of big changes. If you understand the process, the changes are not such a mystery.
Evolution is explained with reference to changes of allele frequencies,but that is not the proper definition. Evolution refers to changes in physical form,not statistical changes of DNA.
Again, they are tied together. A change in an allele produces a changed trait in an individual who passes that change on to its descendants. And if its descendants (through natural selection) are represented in greater proportion in the next generations, that allele changes frequency in the population. And that changes not just one or a few individuals, but the character of the species. And that is what evolution is: changes in the character of the species. (not all evolution is about physical form though. Biochemical, physiological and behavioral changes also count as evolution.)
I look at the supposed causes,as well as the supposed results. That is why I do not believe that macro-evolution happened. The supposed causes - natural selection and genetic mutation - cannot possibly lead to macro-evolution.
Those are the two principal causes, but not the only ones. Speciation is crucial to macro-evolution, though not to evolution within a species. So you need to re-examine your understanding of the causes.
Macro-evolution cannot be shown to have happened,and it does not logically or biologically follow that populations will develop beyond the species level because of genetic isolation. It just does not happen that way.
Speciation has been shown to have happened. And speciation, by definition, produces groups that are above the species level.
It is wrong to extrapolate macro-evolution from the observed instances of speciation.
There is no extrapolation involved. Observed instances of speciation are observed instances of macro-evolution. By definition, they add new species to a genus--expanding the boundaries of a genus.
I know you want to see how the higher taxa, families, orders, etc arise. But no new special process is needed. If you already have 3 species in genus, and each of them divide into new species, then you now have three groups of two species each. What designation will you give to each of these groups?
If you decide to call each of these three groups a genus, then what do you call the group of six species--which now contains three genera?