Natural selection
Its role in Evolution is expressed vaguely. How does natural selection "help" bring a new species into existence? Merely by weeding out the "mistakes"?. (Discuss)
The fundamental statement of natural selection is that heritable traits which are beneficial will become more numerous in successive generations, while heritable traits which are harmful will become more scarce. This principle is general, and applies to any system of individuals which reproduce; it is most commonly applied to systems of living organisms.
General Requirements
Natural selection will automatically take place in any system which follows a certain set of rules. These rules are: 1) There must be a set of individuals. 2) These individuals must reproduce somehow. 3) The probability or rate of reproduction must be somehow dependent on a heritable trait of the individual (where a heritable trait is one that is more likely to be present in an individual's offspring than it is in the general population).
In any such system, individuals whose traits allow them to reproduce more effectively will soon come to dominate the population.
Variation and Randomness
Natural selection becomes interesting when there is the possibility of random variation in the duplication of individuals--in other words, when an individual is copied, the copy may be slightly different from the original. It is important to note that, as stated above, the mechanism for this variation is not explained or even taken into account by natural selection. All that matters is that there is some process that produces variation. In this case, some of the offspring of an individual will be better (where "better" is defined as "more likely to successfully reproduce"--one can think of it as scoring higher on an evaluation) and some will be worse. The higher-scoring offspring will soon come to dominate the population, and over successive generations the average score will also rise.
Role in Life Sciences
Natural selection is a principle that was proposed by Charles Darwin and Alfred Russel Wallace, who noted that organisms which were better adapted to their environment tended to survive longer and reproduce more than less well-adapted organisms. Together with mutation (an altogether distinct phenomenon that should not be confused with natural selection), natural selection forms the basis of evolutionary theory. As stated above, in any system where selection combines with random variation, successive generations will become better adapted to reproduce. Evolution is the theory that this combination of genetic variation (which may be either mutation of the parent or, in most cases, sexual reproduction) and natural selection leads to speciation.
An Example
An engineer starts with 10,000 different sets of plans for a hydroelectric dam. His dam must complete two basic tasks: it must hold back a lake with minimal flooding of the surrounding area, and it must maximize power generation. The intrinsic worth of a dam is determined by how well it completes these tasks; a dam which produces 100 kW of electricity while only raising water levels 2 feet is superior to one which produces 10 kW of electricity while raising water levels 5 feet. In our simplified example, let us assume that the design of a dam is based on just a few numerical parameters: height, width, thickness, concrete mixture, hydroelectric turbine size, curvature, etc. After evaluating all the dams, the engineer picks the 100 best and discards the rest. He then copies each of these dams 100 times. When copying, the engineer randomly introduces minor differences: say he rolls a die each time he copies a design parameter; if he rolls a six, he then changes that parameter by 1%, flipping a coin to determine if he will increase or decrease the parameter. Once he has finished copying, he will have 10,000 more dams, most of them very similar to the original 100 but with some small differences. He then evaluates these 10,000 dams again, picks the best 100, and copies them again, introducing random "errors" in the same way. After completing this process several thousand times, the engineer has 10,000 dams, all of which perform excellently. He picks the best of them and thus has an excellent design, without ever doing any real "design" himself. Note that this engineer need not be conscious of the overall goal--he is just applying a simple algorithm over and over. Indeed, the engineer need not be conscious of anything at all--his task could be performed automatically and without sentience or intelligence. Note also that the final dam may be very different from any of the original dams.
Local and Non-Local Improvement
The above section illustrates how natural selection and random variation can combine to create improved individuals. However, it is important to note that there is no long-term planning involved in natural selection. This means that all changes must be locally beneficial in order to survive. Essentially, no improvement can take place if a deterioration must take place first. In order for a change to propagate to future "generations" of individuals, it must not be significantly harmful to any generation. In the language of the above example, let us say that one of the dams would be much improved if the curvature were increased by 10%, but would be worsened considerably if the curvature was 3 to 7% higher. Since curvature can only change by 1% at a time, and a regime of "bad" curvature lies between the current regime and the regime of "good" curvature, the dam will never reach the "good" regime. Thus, in order for a large change to take place over several generations, it must be beneficial (or at least not significantly harmful) at each generation.