Here is the passage of the book where Grasse discusses this phenomenon he called “evolution amortization”
Amortization of evolution
Recapitulating the facts set out in the preceding pages, we can see that the margin of manoeuvre of evolution has been constantly shrinking: in the Ordovician, the genesis of phyla stops, in the Jurassic, that of classes, in the Paleocene-Eocene, that of orders.
After the Eocene, the evolutionary sap still flowed in a few orders, since Mammals and Birds continued to specialize in various directions and took over all the marine terrestrial biotopes that Reptiles had previously occupied.
Little by little, the evolutionary novelties changed in amplitude. They now concern only details and leave the organizational plan intact. Speciation is the form in which evolution has been maintained since the Oligocene in insects, the Miocene in molluscs, the Pliocene in birds and Simians, the Holocene in certain Glires and the Hominians (Homo sapiens, last place, probably dates back 100,000 years).
Evolution not only slowed down but, as the biosphere aged, its amplitude diminished.
It is certain that it no longer operates today as it did in the distant past. Something has changed. It would be of great importance to know what, as it would shed light on the intimate mechanism of the phenomena. Organizational plans are no longer disrupted, new things no longer flow in. The evolution, after the immense effort, the last one, which the formation of the orders of Mammals and hominization cost, seems to be running out of steam, it is dozing off. All this is only a metaphor, but paints a good picture of the present state of evolutionary phenomena.
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The phase of high fertility is over: The present biological evolution has the appearance of an amortized, decadent or dying process. Are we not witnessing the remanence of an immense phenomenon on the verge of extinction, are not the small variations that we are registering everywhere not the residues, the last oscillations of the evolutionary movement? Isn’t there not a mechanism missing in our plants and animals that was present in the springtime of the flora and fauna?
It is, often, observed that all its supposedly efficient causes being there, evolution nevertheless stops. Vandel (1972) has just provided an excellent example of this.
The two species of sowbugs of the genus Australoniscus, one in Nepal (A. alticolus), the other in Western Australia (A. springetti), have been separated due to the division of the continent of Gondwana and continental drift since the beginning of the Cretaceous, i.e. about 140 to 135 million years ago. They are separated by a minimal character: “the endopodite tip of the first male pleopod is different…: it is straight in springetti, hooked in alticolus”.
Thus, in 140 million years, neither segregation, nor mutations, nor selection operating in different environments have modified these crustaceans. The cause of their stability must therefore be sought in the intimate constitution of the animal.
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We will retain from our investigation that today evolution is not what it used to be. This state of affairs, with its many consequences, has hardly caught the attention of biologists who, however, must not limit themselves to the search for the mechanism of evolution, but also reveal the causes that have stopped the creation of new types and caused the speed of the process to vary.