There are dominant modes of behavior to describe biodiversity. Long term gains over eons are driven by new capabilities, by 'genetic learning' of how to survive in new habitats. Medium term oscillations are driven by climatic and topological changes, resulting primarily from plate tectonics and secondarily from variations in solar output and orbital mechanics. Short term variations are forced by variations in carrying capacity at the individual level. This paper is intended to build a theoretical model, a framework for understanding more particular situations.

Over geological time periods, there are always as many individuals as the available resources (energy, water, raw materials) available. The number of individuals per species has a strong effect on the survivability of that species. Two forces are at work: plate tectonics and genetics. Changes that happen over more than ten million years will leave no potential habitats unexploited. Changes that happen in less time will, given constant solar output and a steady-state orbit, and an absence of catastrophes:

Plate tectonics:

Genetics: Several patterns are discernible in the geological record.

Spatially:

Temporally: Dynamically, the base level is that a certain number of actual species exist. Species are increased by originations and decreased by extinctions. Unexpressed genes in the genomes provide a pool of potential species based on the actual species. Potential species are increased, after a delay, by the origination of new species. They are decreased by extinctions, however, with no delay. The geological aspects of the environment -- topology, relief, climate, nutrients, and water -- define a number of potential habitats, which the current species completely fill at equilibrium. The number of potential habitats is driven by geological processes, primarily tectonic. As environmental conditions change, so do the number of potential and, after a time, actual, species. But in the aftermath of a severe extinction, the gene pool may not have enough potential species to repopulate all potential habitats, thus ensuring a much longer period of time where actual species are well below potential levels. The number of potential habitats is determined by geography, topology, and resource availability. Potential species are determined by the number of species and potential habitats through evolution.

The base case is that potential habitats are stable. Species originations and extinctions are in balance. Evolution creates no new potential species. The maximum number of potential habitats is occupied, and any speciation is by replacement. This characterization applies to long stretches of geologic time 51; indeed, to most of geological time.

The next case is that of an evolutionary breakthrough: a new adaptation allows the exploitation of a previously unexploited class of habitats. The habitats in a sense were always there; life has just figured out how to use them. An evolutionary breakthrough creates an increase in the number of potential species. Speciation then converts them into actual species.

In response to plate tectonics, land areas can combine or separate. When land areas separate, the number of potential habitats decreases, because each separate area is smaller than the combined area of the two. But the continuous originations and extinctions in the two areas are necessarily distinct, and net speciation is the result as different species result in the same habitats on the two new areas. The number of potential species increases accordingly. When two areas combine, more habitats are possible. But, unless the separation was quite recent, there are two species for each habitat. The net result is a reduction of species, and of potential species.

More complicated is a quick reduction in carrying capacity -- whether by terrestrial or extraterrestrial means. A reduction in solar input by 90% for five years by, for instance, a cometary impact would drastically reduce the number of potential habitats for those years, causing the extinction of most species. Although the number of potential habitats and even the supportable biomass might recover within a decade, the recovery of species diversity would lag by orders of magnitude, as the gene pool is depleted by the same catastrophe that kills the species. The evidence is that it would take on the order of ten million years for a complete recovery, after which the ecosystem would look radically different.

So much for natural causes of variations in biodiversity. Now let's look at cultural forces acting on biodiversity. The basic mode is that people are just another species in the context of other actual species, potential species, and potential habitats. But people have had several other impacts:

The outcome of all these policies is a reduction in biodiversity that will take millions of years to restore -- if the policies stop. If they do not stop? It seems unlikely even now that people could practically kill all life on Earth, even with another one hundred years of these policies and a nuclear war. But the return time to current levels of diversity could grow to tens or even hundreds of millions of years.

As it is unlikely that people could kill all life, it is only slightly more likely that people could kill all people on Earth. Humans are all over the planet, and in six billion individuals there is a lot of genetic diversity. But it is possible to end civilization as we know it. A world with microbes, insects, humans, and their commensals is a far higher-risk world than the one we live in.

Only a decision to limit ourselves addresses that risk. Only a consensual set of goals for sustaining other forms of life and their habitats will keep that risk from growing into a certainty.

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