Continuous Environmental Tracking (CET) hypothesis
'Kinds'. including hyperevolution within 'kinds'
Many creationists accept that natural selection happens but is either merely a preserving force or that organisms remain within undefined and unevidenced limits of 'kinds' and that hyper-fast speciation occurred within these 'kinds' after the Flood. Recently a hypothesis called Continuous Environmental Tracking (CET) has been posited by creationist Randy Guliuzza in opposition to natural selection. See those pages for more information on those topics.
Claim CB110: Microevolution selects only existing variation
Claim CB121: The cost of natural selection is prohibitive (Haldane's dilemma)
Brief responses in the Index to Creationist Claims in the TalkOrigins Archive.
A Primer on Young-Earth Views of Speciation, Mutations and Natural Selection
Post by biologist Joel Duff on his Naturalis Historia blog.
Is Natural Selection the Same Thing as Evolution? Assessing Dr. Purdom’s Confusing Answer
Natural Selection Semantics: A Student Reacts to a Young-Earth Definition of Evolution
Two posts by biologist Joel Duff on his Naturalis Historia blog, responding to the Answers in Genesis video Natural Selection Is Not Evolution! The second post includes an essay written by a doctoral applicant (shared with their permission).
The Evolution of Creation Science, Part 3: Natural Selection and Convergent Evolution
Article by Philip J. Senter in the journal Perspectives on Science and Christian Faith. The full issue in which this article appears is also available.