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-
- Tree Shaped Chromosomes
- =======================
-
- This document discusses the virtues of employing tree-shaped chromosomes in
- artificial life programs, and ones that use genetic modelling which includes
- genetic recombination.
-
- Index
- ~~~~~
- Modern Life is Rubbish
- Coloured Bodies
-
- Modern Life is Rubbish
- ~~~~~~~~~~~~~~~~~~~~~~
- In the process of presenting evidence for the theory of evolution, scientists
- have drawn attention to the way in which some organisms seem to be adapted to
- their environment in ways that seem to suggest that an historical development
- has been instrumental in moulding their forms.
-
- Such signs of history have been referred to as "Scars of Evolution" by Elaine
- Morgan. The word "scars" is well chosen as it implies that the signs are
- almost always maladaptive to some degree or other, and that a designer would
- avoid such features.
-
- Many organisms display signs that one structure has been adapted from an
- original use to a new role, signs of "lock in" of arbitrary or non-optimal
- designs, vestiges of historical structures of no apparent utility, and
- sometimes complete lack of features which it seems they would find
- advantageous, but are not suggested by small variations in the embryological
- development of their forms.
-
- As well as being applied to specific phenotypic aspects of individual
- organisms, the same technique of examining apparently imperfect adaptations
- may be applied to the study of the genetic machinery in an attempt to trace
- its history.
-
- When examining multicellular organisms such as ourselves, one of the curious
- features is that we seem to be colonies of millions of bacteria-like
- organisms. These creatures are all clones of one another, descended from a
- single cell, and most of them are still capable of asexual reproduction.
- Amazingly, each of them contains a copy of the entire genetic heritage of the
- organism.
-
- There are undoubted advantages in storing the information locally to the
- cell. In particular, translation and transcription into amino acids can
- occur adjacent to the information store, and when the cell decides to
- reproduce in mitosis it has all the information it needs to pass to its new
- sister cell.
-
- It seems that there are also huge disadvantages to using local storage. The
- sheer quantity of redundant information involved is colossal, when it is
- considered that there must be a cost in terms of the chemicals, time and
- energy required to support all the information.
-
- As organisms age their genetic homogeneity decreases due to mutations in the
- individual cells. In older people this results in cancers, as well as other
- signs of cellular lack of harmony symptomatic of ageing. Those cells in the
- germ line responsible for gamete production are affected in the same manner
- as other cells. With all the copies of the genome available, you might have
- thought that this resource could be used as a multiple back up device, or as
- a gigantic error correction system, but in fact cells do not communicate with
- their neighbours about genetic matters directly at all.
-
- The question arises: would the organism be better off if it could maintain a
- central genetic database and then network its cells together?
-
- If this proved tp be possible then in principle a whole series of changes
- could be made. If, for example, the information store could be decoupled
- from the two important processes of transcription and replication, then a
- more energy-efficient and secure storage system could be developed.
-
- If cells could communicate genetic information to one another then improved
- error checking could be implemented and compression techniques would be
- available if required. Viruses could be virtually defeated from subverting
- such communication channels by employing encryption techniques. Better cell
- to cell communications could also eliminate the physical substance transfer
- involved in sex.
-
- The kind of network required need not be fast; indeed the speed of the
- nervous system would be more than sufficient: genes do not control their
- hosts in real time but via the slow-motion remote control of protein
- manufacture. Communications could even take the form of local transactions
- between adjacent cells.
-
- There is no proposal here to defend here the viability or otherwise of such
- possible alternatives to the current arrangements, but that such
- possibilities exist and may be greatly superior to existing systems is worthy
- of consideration. Because it is at the bottom so to speak of a series of
- developmental stages, the genetic substrate may be helpfully seen as the most
- ancient and primitive structure of modern life, and though there is a sense
- in which it is immensely high technology, there are many ways in which its
- 'design' seems to bear witness to the nature of life's last common ancestor,
- rather than modern utility.
-
- If such a system was to be found to be superior, then the conclusion would
- follow that the existing arrangement exists as a kind of local optimum of a
- system with much better global maxima. It would be a sign that developmental
- constraints on the organism have limited it to the current system which
- displays all too clearly its historical legacy, and that this design defect
- had become "locked in" by all the subsequently constructed structures which
- are built on top of it.
-
- The phrase "The bathwater cannot be thrown out because of the baby" would
- seem appropriate in this context. Unfortunately, as time passes the dirt in
- the bathwater is liable to accumulate as more and more "lock in"s occur on
- different levels, until it is difficult to make out the baby at all.
-
- Any watching designers would wring their hands in frustration, desperate to
- be able to start on a fresh new drawing board, and use the old evolved design
- as the basis for a completely new organism with all such constraints designed
- out.
-
- Coloured Bodies
- ~~~~~~~~~~~~~~~
- The invention of sex may be a usefully considered to be a major landmark in
- the development of modern organisms. One of the reasons for this is that it
- probably marks the end of the evolution of the main structure of the genetic
- code, the reason for this being that any major structural changes are likely
- to be incompatible with existing organisms, and so would be incapable of
- interbreeding with them. If a new variation upon a genetic mechanism is good
- enough that its organisms can afford to abandon the rest of the gene pool in
- which they find themselves, then it may prevail. Otherwise the majority are
- likely to win out over any innovations in the genetic system. Sex could be
- described as a heavy subsequently constructed structure, built on top of the
- genetic mechanism which tends to fix it in position.
-
- The above description applies to small, gradual changes in the genetic
- structure, but is not relevant to theories of genetic takeover of the kind
- described by A. G. Cairns-Smith, which remain possible for as long as a
- superior genetic substrate can be envisaged.
-
- Having mentioned Cairns-Smith's work, another of his metaphors seems
- appropriate to the discussion. He describes the "lock in" phenomena
- concisely, using the metaphor of building a stone arch. This is a classic
- metaphor illustrating that the initial stages of final constructions may be
- best seen by envisaging preliminary supporting structures; in the example of
- the stone arch, this may be a mound of earth. If the mound of earth is then
- removed, the arch becomes suddenly brittle and "locked in" to a state where
- all the stones depend on each other. Once this dropping away of preliminary
- structures has occurred, there is often no going back, even if the resulting
- construction contains aspects which are no longer appropriate to the use to
- which it is being put.
-
- It seems unfortunate that Cairns-Smith's work has not found a wider audience
- within the A-life community. One problem may be that a well known A-life
- enthusiast Stuart Kauffman has proposed a conflicting theory of the origin of
- life to the one Cairns-Smith proposes, involving autocatalytic sets. The
- author believes that this barrier may eventually be resolved by problems
- within the autocatalytic theory. Cairns-Smith's own critique of models of
- "chemical evolution" seems to be applicable, as autocatalytic sets would seem
- to have a "low ceiling" in terms of information storage.
-
- Turning back to chromosomes, meiosis will now be examined. Although there
- seems to be some control by the structure of chromosomes over meiosis, in
- that some parts of the genome are more sexy than others and different parts
- have different baseline mutation rates, these effects provides very little
- structure to meiosis. Apart from the near immunity of that genetic
- wasteland, the Y chromosome, and inversions, no parts of the genome which are
- treated with additional respect by the process.
-
- Meiosis' lack of discrimination may be an aspect of its even-handedness. If
- the meiotic process can be influenced by a particular gene in a manner that
- makes that gene more likely than its alles to find its way into gametes, then
- that gene will come to dominate, even it it has other severe side-effects on
- individuals who bear it. This kind of gene is often referred to as an outlaw
- gene. There is subsequent pressure on meiosis from the other genes in the
- organism which all suffer from the adverse effects of outlaw genes. It has
- been theorised that under some conditions the outlaws are fairly effectively
- suppressed. It may be that the form of the suppression forces meiosis to be
- simple, as any structural complexity offers outlaws opportunities for
- subverting the process to their own ends.
-
- The "some conditions" under which the outlaws are suppressed are theorised to
- be as follows:
-
- Outlaws that act by subverting meiosis or around the point of conception are
- known as segregation distorters. They may act at other points in the
- lifecycle of the organism, as in the example of a behaviour pattern,
- influenced by a gene on the Y-chromosome, causing parents to invest more
- resources in bringing up sons than daughters.
-
- Outlaw genes not only help themselves to a larger slice of the genetic pie
- than they would normally receive, they usually help their chromosomal
- neighbours too. Sometimes the entire chromosome containing the gene is
- helped. If an organism has a large number of chromosomes then a larger
- proportion of the organism's genes suffer as a result of their association
- with the outlaw than would if the organism had fewer chromosomes. These are
- more likely to act in unison to suppress the effects of the outlaw genes,
- than if there are, for example, only two chromosome pairs, in which case one
- of them may want the outlaw to succeed because its genes will directly be
- levered into the next generation by the outlaw's mechanism. It will try to
- block any suppression effects which the other chromosome pair would like to
- impose on the outlaw.
-
- If this reasoning is correct then it follows that multiple chromosomes and
- sex go together. No suggestion is being made here as to which of these
- adaptations came first. There may be other pressures favouring multiple
- chromosomes (including structural and engineering considerations). However,
- organisms using sex with a low chromosome count may need some variations in
- its style of meiotic division if they are not to become prey to outlaw genes.
-
- The reason for interest here in the structure of chromosomes is as follows.
- Genes display associations with other genes in the genome, in that some
- groups of genes are more likely than others to find themselves sharing bodies
- in offspring. These genes are described as being linked to one another.
-
- The mechanism behind linkage is very simple: genes that are on the same
- chromosome are linked roughly in proportion to the distance they are from one
- another along it. This distance is related to the probability that meiosis
- or mutation will act to cleave the two genes involved. Genes on different
- chromosomes are considered not to be linked at all - their probability of
- sharing a body in the next generation is ½.
-
- At first sight the ends of chromosomes look like interesting places in terms
- of linkage as the distance only goes in one direction so to speak. This
- interest rapidly diminishes upon closer examination.
-
- Linkage is important. Even in asexual organisms where genetic shuffling is
- not the norm, it may play some role. Characters which are developmentally
- related or inter-dependant would gravitate towards close linkage. Genes that
- need one another for their mutual well being would be inclined to find
- themselves next door to one another. Within linkage groups, genes would tend
- to cooperate more with their neighbours than with the rest of their
- particular genome when they encounter copies of them in other bodies.
- Recognising a copy of your close neighbour out in the world may be exactly
- equivalent to recognising a copy of yourself.
-
- The means by which genes are brought together is of course natural selection,
- but of a slightly unusual type. Usually selection may be thought of acting
- on the phenotypes of organisms, but in any individual organism genetic
- linkage displays no obvious signs of its effects. It is only when the
- organism reproduces that some important groups may be separated if they are
- not closely linked. The selection pressures may be thought of as being
- towards evolvability, and away from rapid genetic decay in descendants. For
- a justification of the plausability of such selection pressures I refer you
- to the chapter named "Kaleidoscopic Embryos" in Richard Dawkins' book,
- "Climbing Mount Improbable".
-
- Linkage comes to follow and mirror the structure of the organism. This is
- not meant literally, in the sense that genes associated with different adult
- bodily parts would like to form an isomorphic structure on the genome, but
- giving due consideration to the developmental history of the organism. In
- the complex and mysterious growth processes of embryology, genes can be seen
- as waltzing with other genes, and their partners tend to become their eternal
- soulmates.
-
- The main point to be made here is that distance is a very crude
- one-dimensional symmetrical measure. If an organism could have
- multi-dimensional asymmetrical, conditional, with complex interdependencies
- as relationships portrayed by links, then it would benefit in that the
- complex relationship between genes in embryological processes could be
- captured more clearly.
-
- Tree-shaped chromosomes are referred to here. This is for a number of
- reasons. Heirarchical trees are familiar data structures to many. They are
- easy to implement on existing computers. A simple representation can be
- imagined as a one-dimensional string of characters using nested brackets to
- indicate the branching depth. There is no need to imagine anything as
- complex as branching in the physical DNA used to encode genes. A simple
- one-dimensional structure may be used, but it should contain markers (serving
- the same function as the brackets referred to above) which encode information
- relating to the tree structure, and which influence meiosis. It is easy to
- imagine the sexual process as being represented by a pruning and grafting
- process between chromosomes.
-
- I do not claim that "tree-shaped" is in any sense an optimal structure and it
- may be preferable to consider genes as being related to groups of linkage
- properties in an orthodox object-oriented manner.
-
- With the existing state of the genetic substrate, the advantage of having a
- better map between genetic and developmental/phenotypic structure may be
- counterbalanced by a corresponding high cost of implementation. The existing
- genome is one-dimensional and complex links would probably have to be
- represented physically on it in some manner, and then read in the process of
- meiosis. This kind of selective meiosis would be just the kind of mechanism
- outlaw genes would love to get their hands on in pursuit of their own
- subversive goals. These disadvantages may contribute to the apparent absence
- of such geometries from modern organisms. However, messianic A-life heads
- should not allow themselves to be constrained by such considerations.
-
-