Stephen J Gould [one of the two scientists behind punctuated evolution] said in his book "The Structure of Evolutionary Theory": I recognize that we know no mechanism for the origin of organismal features other than conventional natural selection at the organismic level [pg 710]
Here's a 20-min vid on how punctuated equilibrium doesn't solve the problem
Let's illustrate one of the difficulties with the fish to amphibian transition. There had to be changes from:
1) obtaining oxygen from water to directly from the air,
2) change from permeable scales to impermeable skin,
3) ventral, anal, and tail fins would have to go from steering to a) weight-bearing and b) to providing locomotion,
4) a two chambered, one loop heart system would have to transform into a three chambered, two loop heart.
And all of these changes had to happen
1) in concert,
2) on a molecular level and
3) while that species remained the fittest for its environment. The genetic code had to change in multiple proteins throughout multiple systems within the fish, all at basically the same time.
For example, the Cambrian explosion, the unparalleled emergence of organisms between 541 million and approximately 530 million years ago at the beginning of the Cambrian Period. The event was characterized by the appearance of many of the major phyla (between 20 and 35) that make up modern animal life.
As I said gradualism seemed plausible if there were 100's of millions of years for a system of hit or miss chance, but there is not; take that element away, as Punctuated Equilibrium and the Cambrian explosion shows, then design [a purposeful, intentional, guided process with a goal in mind] is the much more likely candidate than a purposeless, unintentional unguided process without a goal.
For example, the Cambrian explosion, the unparalleled emergence of organisms between 541 million and approximately 530 million years ago at the beginning of the Cambrian Period. The event was characterized by the appearance of many of the major phyla (between 20 and 35) that make up modern animal life.
As I said gradualism seemed plausible if there were 100's of millions of years for a system of hit or miss chance, but there is not; take that element away, as Punctuated Equilibrium and the Cambrian explosion shows, then design [a purposeful, intentional, guided process with a goal in mind] is the much more likely candidate than a purposeless, unintentional unguided process without a goal.
This is part of a larger argument that can be found here