Over generations, a population can undergo a great deal of change from its original state. But all members of that population are still members of the same species unless some members become reproductively isolated from one another. Speciation is the separation of two previously interbreeding populations into two populations that can no longer mate to produce fertile, viable offpring.
These can be graphically represented as:
Let's have a LOOK. (Thanks, Berkeley!)
How quickly does evolution proceed? It depends.
PHYLETIC GRADUALISM
This is the classical, traditional view stating that
large changes (reproductive isolation and
morphological differentiation) occur due to the gradual accumulation of
many genetic changes. The classic example put forth in many natural
history museums in the form of a nice display is that of the evolution of the modern horse.
(NOTE: The modern systematist would not suggest that each of these species evolved into the next, more recent species. Rather, all these ancestral "steps" to the moder horse share a common ancestor that may have looked a lot like the "Dawn Horse," Hyracotherium (formerly known as Eohippus.
PUNCTUATED EQUILIBRIUM
This hypothesis was published in 1972 by Niles Eldredge and Stephen J.
Gould.
They suggested that major changes can occur relatively suddenly, and that they "punctuate"
long periods of relatively little change. Let's have a LOOK.
Remember: "suddenly" is a relative term, geologically speaking, and can mean over thousands of generations (quick!) instead of over millions (not so quick!)
Eldredge and Gould suggested that this could explain how "awkward" intermediate forms such as the reptile-->flying bird and the terrestrial tetrapod-->swimming cetacean might have been "skipped". A major genetic event could have produced a phenotype that was drastically different from the original, and that this trait could become modified and fixed in the population over relatively few generations.
Examples:
Species that are on the verge of becoming separated are known as incipient species.
How do species change into different species?
There are two major competing hypotheses:
cladogenesis (= diversifying evolution) - the divergence of two new species from a single ancestral species. (Net increase in species diversity).
Example:
On the Hawaiian islands, a single, finchlike ancestor gave rise to about 40 different species of Honey Creepers. Each is specialized in bill shape and size, as selected by its particular microhabitat and diet. Colors may have evolved in response to sexual selection.

What do phenotypic characters tell us about evolution?
Phenotype (at many levels, including the level of the DNA) provides the the
biologist with the most basic information s/he needs in trying to
accurately reconstruct evolutionary relationships.
The goal of the modern systematist (i.e., a biologist who studies the evolutionary relationships between organisms) is to construct taxa (classification groups) that are monophyletic - derived from a single common ancestor.
In so doing, the systematist considers homologies, analogies, primitive and derived characters in the taxa under study at the level of morphology, ontogeny, and the biological macromolecules (DNA, RNA, proteins) themselves.
When one species gives rise to two new species (cladogenesis), what is it that determines whether or not the two can reproduce, if allowed to regain physical contact (i.e., if they become sympatric once again)? We can define separate species by considering the mechanisms that restrict gene flow between them.
Two related species may be separated by one or more of these types of reproductive isolating mechanisms, which may evolve--once again--due to the five factors already discussed that can change allele and genotype frequencies in a population.
In 1975, Edward O. Wilson published Sociobiology: The New Synthesis.
The controversy generated by one idea in his book spread from biology to many other
disciplines, including those in the humanities and the social sciences.
Wilson's main tenet:
While it's no doubt true (as some critics have suggested) that one cannot apply the biology of social insects to the biology of humans, it is also quite likely that a great deal of human behavior is at least partly under the control of our genes, and hence, subject to natural selection and other evolutionary forces. (Thought it's a bit harder to study the connection in our species, due to ethical constraints!)
In 1962, British zoologist Verno Copner Wynne-Edwards published Animal Dispersion in Relation
to Social Behavior, in which he suggested that animals regulated their
own population density via behavior called altruism. defined as risking the loss of one's own fitness via an act that could improve the
fitness of another individual.
For example, Wynne-Edwards noted that under crowded conditions, many animals' reproduction is severely reduced or ceased altogether. He interpreted this behavior as "altruism"
that was for the "good for the group." He hypothesized that a group that restrained its reproductive output and did not "overeat" its food supply would be more likely to survive than a group that reproduced without restraint, to the point of destroying its food supply and then starving.
Wynne-Edwards believed that behaviors that improved the survival of some of a group's members would give that entire group an adaptive
advantage over groups that did not have altruistic members.
The idea of "group selection" was subject to severe criticism for many reasons.
So how can such phenomena as
W.D. Hamilton was the first (in 1964) to develop ideas that explained
apparently altruistic acts without resorting to the illogical "group
selection" idea. Perhaps his most profound concept was that natural
selection would favor an allele that promoted altruistic behavior toward
relatives, since relatives share the alleles of the altruistic organism.
By being altruistic to a relative, you are actually increasing the
likelihood that some of your
alleles will be passed on to future generations.
(Those interested in human medicine might take note that W.D. Hamilton was also well known for his support of the hypothesis that the AIDS pandemic in Africa might have involved a polio vaccine campaign. The idea has been dismissed by many as having been well refuted, but it persists in some circles.)
We already know that the Darwinian fitness of a particular phenotype/genotype is its
reproductive contribution to subsequent generations relative to
an alternative phenotype/genotype.
Consider The Marmoset.
This is a tiny, New World monkey who
lives in social groups consisting of
Why should an "aunt" not take the chance to contribute all of her
genes to future generations (In the form of multiple offspring, as the
queen does)?
Now consider the Honeybee.
These are social hymenopteran insects whose populations are haplodiploid.
The kin selection advantage is even greater in this case.
But the probability of promoting one's own genes' survival is a much more logical explanation for apparently "altruistic" behaviors than Wynne-Edwards's idea of group selection.
Like physical traits, heritable behavioral traits (and if you believe
E.O. Wilson and many others, all animal--including human--behaviors have
at least some genetic component at their root) may be either
And recall that neutral traits may becoem adaptive or maladaptive if the organism's environment changes.
It depends on the population. Speciation rate
is affected by such factors as generation time, and what appears to be the
poorly understood relative stability of certain species' genetic makeup.
But unanswered questions is what makes all this fun, right?
Sociobiology
...be explained without invoking altruism?
Inclusive Fitness, Individual Fitness and Kin Selection, oh my.
An individual's inclusive fitness may have a greater contribution from individual fitness or from kin selection, depending on the
species' natural history, depending to a great degree on whether a species
is solitary or social.
Why is kin selection not altruism?

(Of course, the monkeys aren't aware of the math. Genes that
foster kin selection promote their own passage to future generations
simply by fostering the 50% likelihood that they'll be passed along in any
given individual.)

Granted, the above scenarios make some rather arguable assumptions:
What makes a species a species?
It depends on whom you ask.
Unanswered questions: