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.