Gould and Eldredge claimed transitional fossils are missing because relatively rapid evolutionary jumps (which they called punctuated equilibria) occurred over these gaps. They did not explain how this could happen.
Many geneticists are shocked by the proposal of Gould and Eldredge. Why would they propose something so contradictory to genetics? Gould and Eldredge were forced to say that evolution must proceed in jumps. Never explained, in genetic and mathematical terms, is how such large jumps could occur. To some, this desperation is justified.
“...the gradual morphological transitions between presumed ancestors and descendants, anticipated by most biologists, are missing.” David E. Schindel (Curator of Invertebrate Fossils, Peabody Museum of Natural History), “The Gaps in the Fossil Record,” Nature, Vol. 297, 27 May 1982, p. 282.
“Despite the bright promise that paleontology provides a means of ‘seeing’ evolution, it has presented some nasty difficulties for evolutionists the most notorious of which is the presence of ‘gaps’ in the fossil record. Evolution requires intermediate forms between species and paleontology does not provide them.” David B. Kitts (School of Geology and Geophysics, University of Oklahoma), “Paleontology and Evolutionary Theory,” Evolution, Vol. 28, September 1974, p. 467.
“In spite of the immense amount of the paleontological material and the existence of long series of intact stratigraphic sequences with perfect records for the lower categories, transitions between the higher categories are missing.” Goldschmidt, p. 98.
“When a new phylum, class, or order appears, there follows a quick, explosive (in terms of geological time) diversification so that practically all orders or families known appear suddenly and without any apparent transitions.” Ibid., p. 97.
“There is no fossil record establishing historical continuity of structure for most characters that might be used to assess relationships among phyla.” Katherine G. Field et al., “Molecular Phylogeny of the Animal Kingdom,” Science, Vol. 239, 12 February 1988, p. 748.