To explain gaps in the fossil record, the theory of punctuated equilibrium was developed to describe how species change over time. equilibrium is not compatible with the Bible because it contradicts creation as described in Genesis 1.
Punctuated equilibrium is not in the Bible. The Bible is clear that creatures did not evolve, whether gradually or by punctuated equilibrium. Instead, the various "kinds" were created by God (Genesis 1:20–27).
The term "punctuated equilibrium" comes from an evolutionary theory that was postulated in 1974 as a way to explain gaps in the fossil record. According to Darwinism, all known species evolved slowly over millions of years, from a single-celled organism to the more complex forms we see today. In this way, gradual changes resulted in all the species of mammals, fish, birds, and reptiles that now exist. However, the fossil record does not prove this theory. any different species represented in fossils, some still living and some extinct, and there is a glaring absence of the transitional forms one would expect to see if species were evolving gradually over time. Punctuated equilibrium then is the idea that instead of species evolving gradually, as was originally postulated, the changes occurred sporadically and much more rapidly. However, within the evolutionary community there are major disagreements over the applicability of punctuated equilibrium.
According to punctuated equilibrium, species are normally not evolving, and when they do evolve, it is relatively quick and dramatic. Despite a better agreement with available evidence, there are many scientific problems with punctuated equilibrium itself. The mechanism for punctuated equilibrium is assumed to be small groups of a particular organism separated in some way from the main population. This would accelerate the transmission of mutated genes through the population, and much more quickly produce a new species. However, multiple studies have found that inbreeding such as this produces extremely negative effects, which run counter to the idea of rapid advancement. The fossil record also calls into question the plausibility of this notion. The so-called “Cambrian Explosion,” for instance, is the sudden emergence of almost every biological type known to man, in a geological blink of an eye. This seems to contradict the idea of broad genetic stability intermixed with localized change.
Clearly, evolutionary theory is somewhat unsure of itself. Whether you believe the Bible or the conclusions drawn by evolutionary scientists, a leap of faith is required. However, it takes more faith to believe in changing evolutionary theories than to believe in the unchanging Word of God—
why trust a shifting theory over God's unchanging truth?