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Yves Decadt, April 2000

The average evolution : a heuristic model




3.1. Damping of variations and the origin of information and attractors in the evolution

3.2. Hierarchical levels in the average evolution

3.3. Flux-maximisation and quasi-equilibrium : the link between microscopical and macroscopical behaviour












From bit to atom and ecosystem


Yves Decadt, April 2000

The average evolution : a heuristic model

During the evolution of our universe, chance has played a major role. Even to that extent that it would be improbable that the actual fauna and flora would redevelop if evolution would be repeated. All the classification efforts of a biologist as Carl Linneaus would be irrelevant if evolution would be repeated. If Carl Linneaus would still be alive, this thought would be a nightmare for him.

If chance plays such a major role in evolution, and we want to get a good insight in the basic principles of the evolution process, we will have to reduce the role of chance to its relevant proportions. We will do this by performing a huge thought experiment. Instead of asking ourselves whether or not we can repeat the evolution in an identical way, we will assume that this is not the case (due to the role of chance). We will therefore ask another question :

"Which recurrent evolution patterns would we see, if we would repeat the evolution a million times?".

Which characteristics of the evolution process would we see time and time again ?

This question is the basic question to which this paper attempts to formulate an answer.

At the end of the 19th century, the American scientist and philosopher Charles Sanders Peirce (1839-1914) has found that "nature has a tendency to create habits". If we want to explain these habits, it is not sufficient to identify and explain the basic laws of nature that govern the development of our cosmos ; we also need to be able to explain the evolution of these laws itself, because they also have been evolving slowly.

It is clear that our search into the creation of habits in evolution, will be influenced by the context in which we live as a human being on earth, and by the knowledge we have gathered up to our current stage in the evolution. Nevertheless, the nature of this question is so fundamental, that it forces us to think very critically about the really fundamental aspects of evolution. Although our thinking process is influenced by the signs of our time, we will be obliged to search for the core of the question.

The resulting evolutionary process is what I have called

"The Average Evolution".

The evolution model presented here is a "heuristical model". It combines different pieces of the puzzle, to recombine it into a new version of the picture. Not the pieces of the puzzle are different, but mainly the composition. I have called this a heuristical model, because it is open for further development and evolution. It is the result of a personal vision, and it is not to be considered as a final solution, suitable for every situation.

As a consequence, I invite the reader to think together with me, during the reading of this work.

Note : this paper is a summary of a virtual book with the same title, published in Dutch on the World Wide Web in April 2000 (for the full text and references, see As the complete (Dutch) text is more then 10 times as large as this summary, detailed reasoning is not presented here.

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Evolutionary spreading

"Everything streams" (Panta rei in Greek)

This is a basic concept originating from the Greek philosopher Heraclitus. This concept is also the basis for the entire evolution process. The only constant and universal characteristic of evolution is a never-ending stream of matter, energy and information. The universe can not be described by describing parts of it, because in essence it is an undivided whole. Each attempt to describe a piece of the universe, drives the description away from the holistic essence of the universe.

If I would be consequent with this bold statement, I should stop here with further writings on the characteristics of the universe and its evolution.

Nevertheless, I will continue because I am convinced that some complementary descriptions of specific aspects and parts of the universe, can contribute to the understanding of the universe and its evolution as a whole.

Limitation of evolutionary spreading

When we look at the environment in which we live, we see many forms of organisation that have a high degree of order, and which have at a first glance little in common with the theory of evolutionary spreading.

During the expansion of the universe, the maximal potential spreading increases continuously. The actual (realised) spreading is also continuously increasing, although the speed of increase is lower. As the figure above is demonstrating, there is a continuous increase of the gap between the total actual spreading, and the total potential spreading.

The difference between both is reflected in the order that we can see in our surroundings, e.g. in the form of tangible matter. In other words, as the spreading in the universe continues, also the order in the universe is increasing.

Limitation of evolutionary spreading holds a key to the creation of order in the universe (Layzer, 1984)

This leads us to the crucial question about the origin and fundamental cause of this order. How come that evolution is happening through a number of intermediate stages of more complex forms of organisation, instead of resulting immediately into the maximal (potential) level of spreading ?

The fact that there is an innumerable number of less or more complex forms of organisation, is very evident in our home planet, the Earth. We can see very complex forms of organisation, as an international company or an army, but also more simple and down to earth systems as worms and micro-organisms.

The difference in complexity and coherence of material systems is very large.

Non-living systems are fare less complex, but they also differ largely in the extent of evolutionary spreading. A gas for example is a material form that has a high degree of spreading : the coherence between the different gas molecules is very low. This is in contrast with for example a diamond, in which the atoms are structured and organised very well, which is also a main cause of the particular symmetry of diamond crystals, and which also makes the diamond very strong.

Nevertheless, the complexity of a diamond is much smaller than the complexity of a micro-organism or a school of fishes.

Thus, in our search for the cause of order and limitation of spreading, we will have to look for those factors that give rise to difference in coherence and complexity of the different material systems in our surroundings.

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"On the impact of information in evolution"

Information is perceived as more and more important in the study of evolutionary theories, as well in physics as in biology.

The physical researcher John Wheeler says this in a quite extreme way :" No element in the description of physics shows itself as closer to primordial than the elementary quantum phenomenon, that is, the elementary device-intermediate act of posing a yes-no physical question and eliciting an answer�. Otherwise stated, every physical quantity, every it, derives its ultimate significance from bits, binary yes-or-no indications."
This conclusion is epitomised in the phrase "it from bit".

Also in biological research, the attention for information has increased, so far that a separate scientific discipline is created known as "biosemiotics", or the study of (development of) the meaning of signals. The biologist Jesper Hoffmeyer calls this the "semiotisation of nature", in which nature is seen more and more as a universe that is characterised by the exchange of signals (information).

Therefore, I would complete Wheelers statement with the statement "fit from bit", meaning that also the "survival of the fittest" (natural selection) and the "survival of the first" (some types of non-linear self-organisation) are driven by biologically relevant information. The current complexity of living systems on our earth is the result of enormous historical accumulation of information.

This paper is differing from other work especially by the emphasis on the evolutionary influence of information, which has led to the title
"On the origin and impact of information in the average evolution : from bit to atom and ecosystem".
In other more classical works on evolution, information is frequently seen as something that is originated in a late stage of evolution, after the creation of atoms and ecosystems.

In this work, a modified definition and interpretation of information is introduced, where information is considered as being originated before the existence of atoms and ecosystems.

What is information in an evolutionary context ?

This question can be answered with a short definition :

Information is that what has meaning, within a certain context.

The meaning of information within an evolutionary context, is that it increases the probability of selection of certain evolutionary paths, and thus decreases spreading in certain contexts.

This definition is valid for a human being, but also for a drop of ink in water, for an electron in a microchip and for every elementary particle in evolution.

So in essence, there is nothing human related to the definition of information.

Informed variations and informed selections in evolution

In essence, evolution is a sequence of variations, whereby new evolutionary pathways are created, and selections, whereby certain evolutionary pathways are selected and others neglected.

The total number of potential evolutionary paths is an indicator of the maximal spreading in evolution. So, variation increases the number of evolutionary pathways, while selection is narrowing the scope of actual evolution.

Both variations and selections, can be influenced by information, as the scheme below is

demonstrating :


Evolution principles in nature, stratified by the influence of information on variation and selection

Based on the influence of information in evolution, I will distinguish 3 types of variation-selection sequences or evolution principles.

When no information is present in the system (and level) that we consider, this results in a "blind evolution", in which both variation and selection are at random phenomena. The end result will be - on the average - a situation of maximal spreading. This happens for instance in a gas, where the overall behaviour of the gas is determined by the average behaviour of the individual atoms in the gas. The individual atoms or molecules behave completely at random, and their evolutionary path is in the end unpredictable ; in contrast, their average behaviour is statistically predictable and quantifiable.

When the random variations are selected by information in the environment, we call this "natural selection", the process that is first well described by Charles Darwin (although Darwin did not explain the behaviour of the environment as adding information to the evolutionary process).

Many variations in nature are not completely accidental. Certain variations have a higher probability of existence, due to the process of "self-organisation", and as a consequence, have also a higher chance in being selected. These variations are informed in a certain way.

Because most systems in nature are very complex, and thus natural selection and self-organisation happen in a concurrent and almost inseparable way, this group of variation-selection sequences will be called "self-organisation and natural selection".

Through the non-linear and auto-catalytic characteristics of self-organisation, this leads in some instances to the "survival of the first", while natural selection is best characterised by the "survival of the fittest". The combined process is the basis of the complex biological diversity as we find it today on earth, including the existence of man.

The human being has - due to its conscious thinking - the advanced skill of effectively combining informed variations with informed selections, in a process that I will call further "artificial construction".

Man creates artificial variations by designing sophisticated experiments, in which predetermined factors are changed, while others are kept constant. In these experimental designs, some of the variations are clearly informed. In a next step, the desired product or process is selected, based on predefined selection criteria.

This powerful process of artificial construction (also in less sophisticated forms) has led to innumerable "artefacts" used by men, from spears and bows of primitive human beings, to space shuttles studying earth from space.

Because both steps of the sequence, variations and selections, are consciously manipulated and informed, the human being is able to build complex and effective constructions.

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3.1. Damping of variations and the origin of information and attractors in the evolution


We have seen that information plays a crucial role in evolution, by influencing both variations and selections. As a consequence, we must ask ourselves the question how information itself is created during the evolutionary process, in other words : What is the origin of information ?

Evolution can be seen as a stream of matter and energy (neglecting information for a while). If within a certain system, a variation occurs in an incoming stream of Matter/Energy (M/E), then this system will react to this change. If the system consists of many particles, these particles will experience this variation as an additional "stress". Passing a certain critical threshold value of "stress", each of these "egoistic" particles will move in such a way, that they minimise the stress for themselves. As the number of solutions to resolve the stress is limited, many particles will move in the same direction. The result is that many of the particles, although they maybe intrinsically independent, make a coherent movement together, until the variation is completely damped.

Think for instance of a raindrop that is falling into a pool of water. At the moment of impact of the raindrop, the individual molecules of water will try to move away from the point of impact (this is not "the will" of the particles, it is the result of what Newton called "action leads to reaction"). Because all the neighbouring molecules are trying to do the same, there are only few overall (average) possibilities, leading to a coherent movement of the molecules. On a macroscopic level, this will be visible in the form of circular waves, expanding around the point of impact of the raindrop, until the initial energy-injection caused by the falling drop is completely dissipated or spread over the pool.

This means that the individual damping behaviour of the "egoistic" particles, has caused a collective behaviour in the group, in which the particles move "in formation". In order to do this, a kind of "molecular communication" (molecular information exchange) has happened between the water molecules.

Every time a raindrop falls in a pool of water, we will see the same behaviour : this damping pattern is a pattern with an increased probability of occurrence. It is a "habit" of nature.

I will call this type of variation-damping patterns with increased probability "attractors".
What we call here the formation of attractors, is in line with the earlier mentioned insight of Charles Peirce that evolution has a tendency to create "habits".
At the basis of the increased probability of these "evolutionary habits", there is a certain type of evolutionary information exchange. As a result of the presence of this information, the local (microscopic) spreading is limited, and a collective (group-) behaviour is visible (a macroscopic phenomenon). We will call this collective behaviour "coherence" (coherent behaviour), as opposed to and complementary with the term "spreading".

There are many ways to classify information.

Within this evolutionary context, I will distinct 3 types of information, mainly based on the relation between the meaning of the information, and the physical carrier of the information. This contextual dependent relation between the meaning of information and its carrier, is called "the code".
These 3 types of codes, are the basis of 3 distinct types of information, and 3 distinct types of attractors.

The difference between Alpha-, Beta- and Gamma-codes is based on the increased independence between the meaning of information (I) and the vehicle of information (M/E). This independence is high for the Gamma-code, intermediate for the Beta-code, and low for the Alpha-code.

In the following two types of codes, the relation between the meaning of information and the carrier of information is more direct, and this is more the case for Alpha-information, than for Beta-information. Because of this more direct relation, double articulation is almost un-existing, and thus the complexity of originating structures is smaller.

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