It's a maxim among popular science writers that every equation you include cuts your readership by a factor of two, so among the hardy half who remain, let's see how this works. It's really very simple (and indeed, far simpler than actual population dynamics in a real environment). The left side, “dP/dt” simply means “the rate of growth of the population P with respect to time, t”. On the right hand side, “rP” accounts for the increase (or decrease, if r is less than 0) in population, proportional to the current population. The population is limited by the carrying capacity of the habitat, K, which is modelled by the factor “(1 − P/K)”. Now think about how this works: when the population is very small, P/K will be close to zero and, subtracted from one, will yield a number very close to one. This, then, multiplied by the increase due to rP will have little effect and the growth will be largely unconstrained. As the population P grows and begins to approach K, however, P/K will approach unity and the factor will fall to zero, meaning that growth has completely stopped due to the population reaching the carrying capacity of the environment—it simply doesn't produce enough vegetation to feed any more rabbits. If the rabbit population overshoots, this factor will go negative and there will be a die-off which eventually brings the population P below the carrying capacity K. (Sorry if this seems tedious; one of the great things about learning even a very little about differential equations is that all of this is apparent at a glance from the equation once you get over the speed bump of understanding the notation and algebra involved.) This is grossly over-simplified. In fact, real populations are prone to oscillations and even chaotic dynamics, but we don't need to get into any of that for what follows, so I won't. Let's complicate things in our bunny paradise by introducing a population of wolves. The wolves can't eat the vegetation, since their digestive systems cannot extract nutrients from it, so their only source of food is the rabbits. Each wolf eats many rabbits every year, so a large rabbit population is required to support a modest number of wolves. Now if we go back and look at the equation for wolves, K represents the number of wolves the rabbit population can sustain, in the steady state, where the number of rabbits eaten by the wolves just balances the rabbits' rate of reproduction. This will often result in a rabbit population smaller than the carrying capacity of the environment, since their population is now constrained by wolf predation and not K. What happens as this (oversimplified) system cranks away, generation after generation, and Darwinian evolution kicks in? Evolution consists of two processes: variation, which is largely random, and selection, which is sensitively dependent upon the environment. The rabbits are unconstrained by K, the carrying capacity of their environment. If their numbers increase beyond a population P substantially smaller than K, the wolves will simply eat more of them and bring the population back down. The rabbit population, then, is not at all constrained by K, but rather by r: the rate at which they can produce new offspring. Population biologists call this an r-selected species: evolution will select for individuals who produce the largest number of progeny in the shortest time, and hence for a life cycle which minimises parental investment in offspring and against mating strategies, such as lifetime pair bonding, which would limit their numbers. Rabbits which produce fewer offspring will lose a larger fraction of them to predation (which affects all rabbits, essentially at random), and the genes which they carry will be selected out of the population. An r-selected population, sometimes referred to as r-strategists, will tend to be small, with short gestation time, high fertility (offspring per litter), rapid maturation to the point where offspring can reproduce, and broad distribution of offspring within the environment. Wolves operate under an entirely different set of constraints. Their entire food supply is the rabbits, and since it takes a lot of rabbits to keep a wolf going, there will be fewer wolves than rabbits. What this means, going back to the Verhulst equation, is that the 1 − P/K factor will largely determine their population: the carrying capacity K of the environment supports a much smaller population of wolves than their food source, rabbits, and if their rate of population growth r were to increase, it would simply mean that more wolves would starve due to insufficient prey. This results in an entirely different set of selection criteria driving their evolution: the wolves are said to be K-selected or K-strategists. A successful wolf (defined by evolution theory as more likely to pass its genes on to successive generations) is not one which can produce more offspring (who would merely starve by hitting the K limit before reproducing), but rather highly optimised predators, able to efficiently exploit the limited supply of rabbits, and to pass their genes on to a small number of offspring, produced infrequently, which require substantial investment by their parents to train them to hunt and, in many cases, acquire social skills to act as part of a group that hunts together. These K-selected species tend to be larger, live longer, have fewer offspring, and have parents who spend much more effort raising them and training them to be successful predators, either individually or as part of a pack. “K or r, r or K: once you've seen it, you can't look away.” Just as our island of bunnies and wolves was over-simplified, the dichotomy of r- and K-selection is rarely precisely observed in nature (although rabbits and wolves are pretty close to the extremes, which it why I chose them). Many species fall somewhere in the middle and, more importantly, are able to shift their strategy on the fly, much faster than evolution by natural selection, based upon the availability of resources. These r/K shape-shifters react to their environment. When resources are abundant, they adopt an r-strategy, but as their numbers approach the carrying capacity of their environment, shift to life cycles you'd expect from K-selection. What about humans? At a first glance, humans would seem to be a quintessentially K-selected species. We are large, have long lifespans (about twice as long as we “should” based upon the number of heartbeats per lifetime of other mammals), usually only produce one child (and occasionally two) per gestation, with around a one year turn-around between children, and massive investment by parents in raising infants to the point of minimal autonomy and many additional years before they become fully functional adults. Humans are “knowledge workers”, and whether they are hunter-gatherers, farmers, or denizens of cubicles at The Company, live largely by their wits, which are a combination of the innate capability of their hypertrophied brains and what they've learned in their long apprenticeship through childhood. Humans are not just predators on what they eat, but also on one another. They fight, and they fight in bands, which means that they either develop the social skills to defend themselves and meet their needs by raiding other, less competent groups, or get selected out in the fullness of evolutionary time. But humans are also highly adaptable. Since modern humans appeared some time between fifty and two hundred thousand years ago they have survived, prospered, proliferated, and spread into almost every habitable region of the Earth. They have been hunter-gatherers, farmers, warriors, city-builders, conquerors, explorers, colonisers, traders, inventors, industrialists, financiers, managers, and, in the Final Days of their species, WordPress site administrators. In many species, the selection of a predominantly r or K strategy is a mix of genetics and switches that get set based upon experience in the environment. It is reasonable to expect that humans, with their large brains and ability to override inherited instinct, would be especially sensitive to signals directing them to one or the other strategy. Now, finally, we get back to politics. This was a post about politics. I hope you've been thinking about it as we spent time in the island of bunnies and wolves, the cruel realities of natural selection, and the arcana of differential equations. What does r-selection produce in a human population? Well, it might, say, be averse to competition and all means of selection by measures of performance. It would favour the production of large numbers of offspring at an early age, by early onset of mating, promiscuity, and the raising of children by single mothers with minimal investment by them and little or none by the fathers (leaving the raising of children to the State). It would welcome other r-selected people into the community, and hence favour immigration from heavily r populations. It would oppose any kind of selection based upon performance, whether by intelligence tests, academic records, physical fitness, or job performance. It would strive to create the ideal r environment of unlimited resources, where all were provided all their basic needs without having to do anything but consume. It would oppose and be repelled by the K component of the population, seeking to marginalise it as toxic, privileged, or exploiters of the real people. It might even welcome conflict with K warriors of adversaries to reduce their numbers in otherwise pointless foreign adventures. And K-troop? Once a society in which they initially predominated creates sufficient wealth to support a burgeoning r population, they will find themselves outnumbered and outvoted, especially once the r wave removes the firebreaks put in place when K was king to guard against majoritarian rule by an urban underclass. The K population will continue to do what they do best: preserving the institutions and infrastructure which sustain life, defending the society in the military, building and running businesses, creating the basic science and technologies to cope with emerging problems and expand the human potential, and governing an increasingly complex society made up, with every generation, of a population, and voters, who are fundamentally unlike them. Note that the r/K model completely explains the “crunchy to soggy” evolution of societies which has been remarked upon since antiquity. Human societies always start out, as our genetic heritage predisposes us to, K-selected. We work to better our condition and turn our large brains to problem-solving and, before long, the privation our ancestors endured turns into a pretty good life and then, eventually, abundance. But abundance is what selects for the r strategy. Those who would not have reproduced, or have as many children in the K days of yore, now have babies-a-poppin' as in the introduction to Idiocracy, and before long, not waiting for genetics to do its inexorable work, but purely by a shift in incentives, the rs outvote the Ks and the Ks begin to count the days until their society runs out of the wealth which can be plundered from them. But recall that equation. In our simple bunnies and wolves model, the resources of the island were static. Nothing the wolves could do would increase K and permit a larger rabbit and wolf population. This isn't the case for humans. K humans dramatically increase the carrying capacity of their environment by inventing new technologies such as agriculture, selective breeding of plants and animals, discovering and exploiting new energy sources such as firewood, coal, and petroleum, and exploring and settling new territories and environments which may require their discoveries to render habitable. The rs don't do these things. And as the rs predominate and take control, this momentum stalls and begins to recede. Then the hard times ensue. As Heinlein said many years ago, “This is known as bad luck.” And then the Gods of the Copybook Headings will, with terror and slaughter return. And K-selection will, with them, again assert itself. Is this a complete model, a Rosetta stone for human behaviour? I think not: there are a number of things it doesn't explain, and the shifts in behaviour based upon incentives are much too fast to account for by genetics. Still, when you look at those eleven issues I listed so many words ago through the r/K perspective, you can almost immediately see how each strategy maps onto one side or the other of each one, and they are consistent with the policy preferences of “liberals” and “conservatives”. There is also some rather fuzzy evidence for genetic differences (in particular the DRD4-7R allele of the dopamine receptor and size of the right brain amygdala) which appear to correlate with ideology. Still, if you're on one side of the ideological divide and confronted with somebody on the other and try to argue from facts and logical inference, you may end up throwing up your hands (if not your breakfast) and saying, “They just don't get it!” Perhaps they don't. Perhaps they can't. Perhaps there's a difference between you and them as great as that between rabbits and wolves, which can't be worked out by predator and prey sitting down and voting on what to have for dinner. This may not be a hopeful view of the political prospect in the near future, but hope is not a strategy and to survive and prosper requires accepting reality as it is and acting accordingly.
In this book, mathematician and philosopher William A. Dembski attempts to lay the mathematical and logical foundation for inferring the presence of intelligent design in biology. Note that “intelligent design” needn't imply divine or supernatural intervention—the “directed panspermia” theory of the origin of life proposed by co-discoverer of the structure of DNA and Nobel Prize winner Francis Crick is a theory of intelligent design which invokes no deity, and my perpetually unfinished work The Rube Goldberg Variations and the science fiction story upon which it is based involve searches for evidence of design in scientific data, not in scripture.
You certainly won't find any theology here. What you will find is logical and mathematical arguments which sometimes ascend (or descend, if you wish) into prose like (p. 153), “Thus, if P characterizes the probability of E0 occurring and f characterizes the physical process that led from E0 to E1, then P∘f −1 characterizes the probability of E1 occurring and P(E0) ≤ P∘f −1(E1) since f(E0) = E1 and thus E0 ⊂ f −1(E1).” OK, I did cherry-pick that sentence from a particularly technical section which the author advises readers to skip if they're willing to accept the less formal argument already presented. Technical arguments are well-supplemented by analogies and examples throughout the text.
Dembski argues that what he terms “complex specified information” is conclusive evidence for the presence of design. Complexity (the Shannon information measure) is insufficient—all possible outcomes of flipping a coin 100 times in a row are equally probable—but presented with a sequence of all heads, all tails, alternating heads and tails, or a pattern in which heads occurred only for prime numbered flips, the evidence for design (in this case, cheating or an unfair coin) would be considered overwhelming. Complex information is considered specified if it is compressible in the sense of Chaitin-Kolmogorov-Solomonoff algorithmic information theory, which measures the randomness of a bit string by the length of the shortest computer program which could produce it. The overwhelming majority of 100 bit strings cannot be expressed more compactly than simply by listing the bits; the examples given above, however, are all highly compressible. This is the kind of measure, albeit not rigorously computed, which SETI researchers would use to identify a signal as of intelligent origin, which courts apply in intellectual property cases to decide whether similarity is accidental or deliberate copying, and archaeologists use to determine whether an artefact is of natural or human origin. Only when one starts asking these kinds of questions about biology and the origin of life does controversy erupt!
Chapter 3 proposes a “Law of Conservation of Information” which, if you accept it, would appear to rule out the generation of additional complex specified information by the process of Darwinian evolution. This would mean that while evolution can and does account for the development of resistance to antibiotics in bacteria and pesticides in insects, modification of colouration and pattern due to changes in environment, and all the other well-confirmed cases of the Darwinian mechanism, that innovation of entirely novel and irreducibly complex (see chapter 5) mechanisms such as the bacterial flagellum require some external input of the complex specified information they embody. Well, maybe…but one should remember that conservation laws in science, unlike invariants in mathematics, are empirical observations which can be falsified by a single counter-example. Niels Bohr, for example, prior to its explanation due to the neutrino, theorised that the energy spectrum of nuclear beta decay could be due to a violation of conservation of energy, and his theory was taken seriously until ruled out by experiment.
Let's suppose, for the sake of argument, that Darwinian evolution does explain the emergence of all the complexity of the Earth's biosphere, starting with a single primordial replicating lifeform. Then one still must explain how that replicator came to be in the first place (since Darwinian evolution cannot work on non-replicating organisms), and where the information embodied in its molecular structure came from. The smallest present-day bacterial genomes belong to symbiotic or parasitic species, and are in the neighbourhood of 500,000 base pairs, or roughly 1 megabit of information. Even granting that the ancestral organism might have been much smaller and simpler, it is difficult to imagine a replicator capable of Darwinian evolution with an information content 1000 times smaller than these bacteria, Yet randomly assembling even 500 bits of precisely specified information seems to be beyond the capacity of the universe we inhabit. If you imagine every one of the approximately 1080 elementary particles in the universe trying combinations every Planck interval, 1045 times every second, it would still take about a billion times the present age of the universe to randomly discover a 500 bit pattern. Of course, there are doubtless many patterns which would work, but when you consider how conservative all the assumptions are which go into this estimate, and reflect upon the evidence that life seemed to appear on Earth just about as early as environmental conditions permitted it to exist, it's pretty clear that glib claims that evolution explains everything and there are just a few details to be sorted out are arm-waving at best and propaganda at worst, and that it's far too early to exclude any plausible theory which could explain the mystery of the origin of life. Although there are many points in this book with which you may take issue, and it does not claim in any way to provide answers, it is valuable in understanding just how difficult the problem is and how many holes exist in other, more accepted, explanations. A clear challenge posed to purely naturalistic explanations of the origin of terrestrial life is to suggest a prebiotic mechanism which can assemble adequate specified information (say, 500 bits as the absolute minimum) to serve as a primordial replicator from the materials available on the early Earth in the time between the final catastrophic bombardment and the first evidence for early life.
A certain segment of the dogma-based community of postmodern academics and their hangers-on seems to have no difficulty whatsoever believing that Darwinian evolution explains every aspect of the origin and diversification of life on Earth while, at the same time, denying that genetics—the mechanism which underlies evolution—plays any part in differentiating groups of humans. Doublethink is easy if you never think at all. Among those to whom evidence matters, here's a pretty astonishing fact to ponder. In the last four Olympic games prior to the publication of this book in the year 2000, there were thirty-two finalists in the men's 100-metre sprint. All thirty-two were of West African descent—a region which accounts for just 8% of the world's population. If finalists in this event were randomly chosen from the entire global population, the probability of this concentration occurring by chance is 0.0832 or about 8×10−36, which is significant at the level of more than twelve standard deviations. The hardest of results in the flintiest of sciences—null tests of conservation laws and the like—are rarely significant above 7 to 8 standard deviations.
Now one can certainly imagine any number of cultural and other non-genetic factors which predispose those with West African ancestry toward world-class performance in sprinting, but twelve standard deviations? The fact that running is something all humans do without being taught, and that training for running doesn't require any complicated or expensive equipment (as opposed to sports such as swimming, high-diving, rowing, or equestrian events), and that champions of West African ancestry hail from countries around the world, should suggest a genetic component to all but the most blinkered of blank slaters.
Taboo explores the reality of racial differences in performance in various sports, and the long and often sordid entangled histories of race and sports, including the tawdry story of race science and eugenics, over-reaction to which has made most discussion of human biodiversity, as the title of book says, taboo. The equally forbidden subject of inherent differences in male and female athletic performance is delved into as well, with a look at the hormone dripping “babes from Berlin” manufactured by the cruel and exploitive East German sports machine before the collapse of that dismal and unlamented tyranny.
Those who know some statistics will have no difficulty understanding what's going on here—the graph on page 255 tells the whole story. I wish the book had gone into a little more depth about the phenomenon of a slight shift in the mean performance of a group—much smaller than individual variation—causing a huge difference in the number of group members found in the extreme tail of a normal distribution. Another valuable, albeit speculative, insight is that if one supposes that there are genes which confer advantage to competitors in certain athletic events, then given the intense winnowing process world-class athletes pass through before they reach the starting line at the Olympics, it is plausible all of them at that level possess every favourable gene, and that the winner is determined by training, will to win, strategy, individual differences, and luck, just as one assumed before genetics got mixed up in the matter. It's just that if you don't have the genes (just as if your legs aren't long enough to be a runner), you don't get anywhere near that level of competition.
Unless research in these areas is suppressed due to an ill-considered political agenda, it is likely that the key genetic components of athletic performance will be identified in the next couple of decades. Will this mean that world-class athletic competition can be replaced by DNA tests? Of course not—it's just that one factor in the feedback loop of genetic endowment, cultural reinforcement of activities in which group members excel, and the individual striving for excellence which makes competitors into champions will be better understood.
Does it always take work to construct constraints? No, as we will soon see. Does it often take work to construct constraints? Yes. In those cases, the work done to construct constraints is, in fact, another coupling of spontaneous and nonspontaneous processes. But this is just what we are suggesting must occur in autonomous agents. In the universe as a whole, exploding from the big bang into this vast diversity, are many of the constraints on the release of energy that have formed due to a linking of spontaneous and nonspontaneous processes? Yes. What might this be about? I'll say it again. The universe is full of sources of energy. Nonequilibrium processes and structures of increasing diversity and complexity arise that constitute sources of energy that measure, detect, and capture those sources of energy, build new structures that constitute constraints on the release of energy, and hence drive nonspontaneous processes to create more such diversifying and novel processes, structures, and energy sources.I have not cherry-picked this passage; there are hundreds of others like it. Given the complexity of the technical material and the difficulty of the concepts being explained, it seems to me that the straightforward, unaffected Point A to Point B style of explanation which Isaac Asimov employed would work much better. Pardon my audacity, but allow me to rewrite the above paragraph.
Autonomous agents require energy, and the universe is full of sources of energy. But in order to do work, they require energy to be released under constraints. Some constraints are natural, but others are constructed by autonomous agents which must do work to build novel constraints. A new constraint, once built, provides access to new sources of energy, which can be exploited by new agents, contributing to an ever growing diversity and complexity of agents, constraints, and sources of energy.Which is better? I rewrite; you decide. The tone of the prose is all over the place. In one paragraph he's talking about Tomasina the trilobite (p. 129) and Gertrude the ugly squirrel (p. 131), then the next thing you know it's “Here, the hexamer is simplified to 3'CCCGGG5', and the two complementary trimers are 5'GGG3' + 5'CCC3'. Left to its own devices, this reaction is exergonic and, in the presence of excess trimers compared to the equilibrium ratio of hexamer to trimers, will flow exergonically toward equilibrium by synthesizing the hexamer.” (p. 64). This flipping back and forth between colloquial and scholarly voices leads to a kind of comprehensional kinetosis. There are a few typographical errors, none serious, but I have to share this delightful one-sentence paragraph from p. 254 (ellipsis in the original):
By iteration, we can construct a graph connecting the founder spin network with its 1-Pachner move “descendants,” 2-Pachner move descendints…N-Pachner move descendents.Good grief—is Oxford University Press outsourcing their copy editing to Slashdot? For the reasons given above, I found this a difficult read. But it is an important book, bristling with ideas which will get you looking at the big questions in a different way, and speculating, along with the author, that there may be some profound scientific insights which science has overlooked to date sitting right before our eyes—in the biosphere, the economy, and this fantastically complicated universe which seems to have emerged somehow from a near-thermalised big bang. While Kauffman is the first to admit that these are hypotheses and speculations, not science, they are eminently testable by straightforward scientific investigation, and there is every reason to believe that if there are, indeed, general laws that govern these phenomena, we will begin to glimpse them in the next few decades. If you're interested in these matters, this is a book you shouldn't miss, but be aware what you're getting into when you undertake to read it.
Adult mantis shrimp (Stomatapoda) live in burrows. The five anterior thoracic appendages are subchelate maxillipeds, and the abdomen bears pleopods and uropods. Some hatch as antizoeas: planktonic larvae that swim with five pairs of biramous thoracic appendages. These larvae gradually change into pseudozoeas, with subchelate maxillipeds and with four or five pairs of natatory pleopods. Other stomatopods hatch as pseudozoeas. There are no uropods in the larval stages. The lack of uropods and the form of the other appendages contrasts with the condition in decapod larvae. It seems improbable that stomatopod larvae could have evolved from ancestral forms corresponding to zoeas and megalopas, and I suggest that the Decapoda and the Stomatopoda acquired their larvae from different foreign sources.In addition to the zoö-jargon, another deterrent to reading this book is the cost: a list price of USD 109, quoted at Amazon.com at this writing at USD 85, which is a lot of money for a 260 page monograph, however superbly produced and notwithstanding its small potential audience; so fascinating and potentially significant is the content that one would happily part with USD 15 to read a PDF, but at prices like this one's curiosity becomes constrained by the countervailing virtue of parsimony. Still, if Williamson is right, some of the fundamental assumptions underlying our understanding of life on Earth for the last century and a half may be dead wrong, and if his conjecture stands the test of experiment, we may have at hand an understanding of mysteries such as the Cambrian explosion of animal body forms and the apparent “punctuated equilibria” in the fossil record. There is a Nobel Prize here for somebody who confirms that this supposition is correct. Lynn Margulis, whose own theory of the origin of eukaryotic cells by the incorporation of previously free-living organisms as endosymbionts, which is now becoming the consensus view, co-authors a foreword which endorses Williamson's somewhat similar view of larvae.