but if you agree that we can get say 100 bases by convergent evolution we can also get 200. right? so there is no real evolutionery limit.
*Shakes head* NO. You once again fail to understand that the decreases in probability are on an exponential scale. 200 bases (not 100, like you are bringing up now for whatever reason) is not about 1/3 as likely as 70 bases (not 100, not sure why you changed the number).
Genome-wide signatures of convergent evolution in echolocating mammals
Also, in regards to the nature article about convergent evolution between bats and dolphins when it comes to echolocation, not once is it ever stated that these groups have any genes that have a block of 70 base pairs or codons which match exactly. They never even say anything in that regard.
In fact, the best one can tell from the paper, they are referring to genes with very similar protein products. Given that nearly all codons are redundant, very similar proteins can be produced utilizing very different sequences. Not to mention that this study can't account for alternative splicing; that is, despite any similarity in proteins that could be derived from these sequences, that doesn't mean that all the proteins produced in the cells of these organisms which are derived from these sequences are particularly similar.
The article says that the echolocation relevant genes in bats and dolphins are more similar than the rest of their genomes are to each other, but that doesn't actually mean much other than there isn't much variety to what proteins can aid in echolocation.
If you read closer, you'll note that they relied on sequences which weren't necessarily complete. Heck, I have used BLAST before, and trust me, most of the sequences for genes on there are not complete, and plenty of those that are have never been confirmed independently (they've only been sequenced once). This also means that they didn't account for the position of the genes within their respective genomes much, if at all. Now, what have I claimed in the past? Allow me to summarize:
1. Aside from very short genes, no gene IN ITS ENTIRETY will occur in independent lineages. Note that I never said that similar genes can't arise independently, only that the exact same ones won't appear twice, assuming that they aren't 50 base pairs or something.
2. Codons are highly redundant, so it is entirely possible for two genes with different sequences to produce the same protein. Like the bat and dolphin genes.
3. It is technically possible for even long sequences to appear twice, but the longer they are, the more improbable it is to occur. The average mammalian gene is 8000 base pairs; far too large to regularly independently appear in different lineages.
Note that the sequences these people compared were as short as 450 base pairs, and that not a single one was a perfect match between bats and dolphins. So, using your own logic, if there isn't any evidence showing that 450 base pairs can be the same between separate lineages, why assume that the average mammalian gene, more than 10 times that length, could plausibly appear in unrelated lineages?