Mathematically Measuring Evolution.
When judging relationships in terms of morphological
characteristics we will always be bound by the subjective. Morphologically one
cannot exactly measure the distance between two organisms strictly in
mathematical terms. Using the standard method of taxonomy we cannot quantify
the difference between a horse and a mouse, or know which is closer mouse to
cat, or mouse to fish. We cannot do this by just looking at the physical
features of the creatures. A human may ‘look’ more complex than a frog but how
much more in quantitative terms cannot be determined by morphology.
Biochemical level.
On the biochemical level the difference between two proteins
can be quantified exactly and the results can be used to measure similarity or
difference between species. What is needed is a common thread that runs through
living things.
Cytochrome c is a small hemeprotein found loosely associated
with the inner membrane of the mitochondrion. Cytochrome c is a highly water
soluble protein, and is an essential component of the electron transport chain.
Has a fundamental role in biological oxidation. Note found in a wide range of
organisms from bacterial to mammals. It is about 100 amino acids long, has the
same 3D configuration and possess an identical active site. What does vary
between different organisms is the amino acid sequences. In Dayhoff’s Atlas of
Protein Structure and Function there is a matrix with nearly 1089 entries
showing the percentage sequence difference between thirty three different
cytochromes taken from multiple species.
We can use cytochrome c sequences to classify species into
groups and these groups do correspond precisely with the groups arrived at on
traditional grounds. The sequential divergence becomes greater as the taxonomic
distance between organisms increases. But each identifiable subclass of
sequences is isolated and distinct. Every sequence can be unambiguously
assigned to a particular subclass. No sequence or group of can be designated as
intermediate with respect to the other group. They are equally isolated from
the members of other groups.
If evolution is true then the existence of cytochrome C in
‘higher forms’ is the result from evolving from a common ancestor. We would
expect to see a logical progression in distance, measurable in percentage of
difference as we move up the hierarchy of evolution. As we progress along the
presumed evolutionary path from single cell organisms, to multi cell, fish, amphibians,
reptiles, mammals to humans we should see the changes in cytochrome C
accumulate.
But that is not the case.
Compare Rhodospirillum rubrum [bacteria] and Eucaryotic
organisms. Percentage of difference.
Horse 64%, Pigeon 64%, Tuna 65%, Silk worm 65%, Wheat 66%,
Yeast 69%
As far as bacterial cytochrome is concerned there is no
intermediate between it and other eukaryotic cytochromes.
Within the Animal kingdom.
Compare phylum Arthropoda with phylum Vertebrata. Percentage
of difference.
Horse 27%, pigeon 25%, turtle 26%, carp 25%, lamprey 30%.
All vertebrate types, [from cyclostomes and mammals], are
uniformly distant from the insects.
Compare lamprey [cyclostome] with jawed vertebrates.
Percentage of difference.
Carp [fish] 75%, frog [amphibian] 81%, chicken [bird] 78%,
kangaroo [marsupial] 76%, and human [placental] 73%.
No trace of traditional evolution at the molecular level.
Man is as close to a lamprey as a fish.
But let’s go further up the evolutionary trail and see if
there are intermediates.
Let’s compare a fish, with amphibian, reptile, or mammal.
Comparing a carp, we have the following percentage of
difference.
Horse 13%, rabbit 13%, chicken 14%, turtle 13% and bullfrog
13%.
Again an extraordinary mathematical exactness in the degree
of isolation is apparent. Although cytochrome C sequences varied among
terrestrial vertebrates, all of them are equal distance from a fish. No
chronological sequence of evolution.
Can the same degree of isolation be quantified isolating
other proteins?
Comparing hemoglobin between a snail and various vertebrates
we find the following degree of difference.
Lamprey 85%, carp 87%, frog 87%, chicken 85%, kangaroo 85%.
On the evidence of protein sequences the lamprey cannot be
classified as primitive with respect to other vertebrates, nor considered and
intermediate between higher vertebrates and none vertebrates.
If evolution were true, and creatures gradually evolved from
one to another, there should be intermediate forms. Intermediate forms should
be found in living creatures, in the fossil record, and at the bio chemical
level. As to the fossil record none are found.
But some now argue the reason we find none in the fossil
record is because every creature is a transitional species. That also has been
proven false, for if single cell organisms, evolved into multiple cell, into
fish, into amphibians, into reptiles, mammals and finally man we should see
progression in the percentage of difference in cytochrome C between the
hierarchies , but we do not. As other evolutionary ‘disciplines’ interpret the
evidence with ‘fuzzy’ parameters and ‘gray’ guidelines, being more subjective
than objective, bio chemistry differs with mathematical precision and disproves
evolution.