Lecture: Spatial variation in populations

Goals: look at natural populations and their spatial distribution; contrast landscape and metapopulation approaches to the problem.  Consider species that can be studied using a metapopulation approach, causes of local extinction and recolonization and the equilibrium number of individuals in a metapopulation.  Discuss the importance of studying source, sink populations.

The lecture:  No species is evenly distributed over its entire geographic range.  Species have higher density in some areas, lower in others, and often occur in patches with gaps with no individuals of the species separating the patches.

Two approaches to studying this spatial variation:

In this course, we're going to focus on metapopulations; relates more clearly to work on populations and is less computer intensive, complex, and seems to apply to a number of animal species.

The metapopulation view of species:

The metapopulation approach can be applied to single species that fit the structure of demes within habitats; demes must be relatively independent from each other.  This structure fits a number of species. Examples: some frog species, many butterfly species (see assigned reading: Thomas and Hanski (1997)) , some small mammals (pikas) have also been shown to fit metapopulation expectations,  Other species may appear to occur in habitat patches, but have so much movement among patches that they consist effectively of a single very large population, called a "patchy population," not separate demes.  Example: the red-winged black bird occurs in patches of marsh habitat, but there is a lot of movement among patches.  This isn't really appropriate for metapopulaion analysis.

To understand metapopulations, we need to understand what affects these two processes, recolonization and local extinction.

Factors affecting recolonization: clearly, the landscape, which may have barriers to movement, and the ability to disperse will affect recolonization.  In addition, recolonization will be affected by:

Thomas and Hanski (1997) discuss evidence on distance to existing demes and size of existing demes.  I will focus on dispersal behavior:

Dispersal behavior:

Studying dispersal: direct estimates of dispersal can be obtained through methods such as observation, capture, release, recapture studies, and radio-tracking.  Indirect estimates of dispersal can be obtained by studing the genetics of populations.  One way to study dispersal indirectly is to look at the genetics of populations.  Dispersal from one population to breed in another causes a form of evolution called gene flow.  Gene flow results in genetic variation within populations, and in different demes having similar genetic traits to one another.  In contrast, if there is little gene flow (little dispersal), genetic variation is lost through chance (genetic drift), and different populations evolve to be different from each other by chance.  By studying the genetics of populations we can see whether we see the high variation within populations and similarity among populations predicted by gene flow, and if we do, it suggests that there has been high dispersal.  In contrast, if we see low variation within populations and differences among populations, it suggests genetic drift and low dispersal.  Various methods have been used to study the genetics of populations; two commonly used methods are to use starch-gel electrophoresis to study proteins (which are, of course, coded for by genes so their variation reflects genetic variation.) Electrophoresis uses an electric field to separate molecules that differ in charge.  Slightly variant forms of the same enzyme (protein) often differ and charge and can be separated from each other and used to estimate genetic variation.  More recently, it has become easier to study the genetic material, DNA, directly.  One approach to this is to study what are called restriction fragment length polymorphisms (RFLPs). This involves cutting DNA in known places and looking at the lengths of the DNA fragments; these should reflect genetic differences or similarities and can be used to assay the amount of genetic variation in a population.

Some examples of species for which these genetic methods have been used include catfish, for which different drainages have different populations with genetic differences from each other, indicating low gene flow (low dispersal), pocket gophers in which there can be some genetic difference between neighboring fields and are larger differences between more distant areas, indicationg low gene flow and low dispersal, and red-winged blackbirds and song sparrows, for which most populations across the country have high genetic variation and are genetically similar to each other, indicating high gene flow (high dispersal).

Dispersal is not the same as recolonization.  A species could have high dispersal, but low recolonization, if the main benefit was mate location, so that dispersal went primarily to areas that already had members of the species.  Another situation with high dispersal but low recolonization occurs if almost all dispersers are the same sex.  In many mammals, for example, it is primarily males that disperse.  This could help avoid inbreeding.  It will not promote recolonization since males, by themselves, can't start a new population.

Some experimental methods focus more directly on recolonization than dispersal.  These can involve release of individuals in areas followed by studies of where those individuals go.  One example of such a study: lizards were released at borders of areas of good habitat, some maintained with conspecifics and others without, dispersed most frequently into the areas with conspecifics.  This result would suggest that recolonization might be low even if dispersal is high.

Four main reasons small local populations go extinct:

Environmental stochasticity and inbreeding depression can interact with each other in leading to extinction.  An extinction vortex  occurs if populations become too small, so that inbreeding occurs, causing populations to become even smaller, making them even more vulnerable to having large fractions wiped out by environmental stochasticity, which would result in even more inbreeding, and so forth.  This concept has led people to consider what is the smallest population that can sustain itself without going into an extinction vortex, and as a rule of thumb a population size of 50 is often considered to be the minimum viable population.  Others have noted that this does not mean that populations above 50 necessarily avoid going into an extinction vortex, and have suggested that population of 200-250 breeding individuals may be needed to make the risk of an extinction vortex small.

Local extinction depends on population size; smaller populations are more likely to go extinct.  Patch size will affect deme size and this will affect what happens in metapopulations, so metapopulations have been considered to fall into a continuum between the following extremes:

Variation in habitat quality:

Up to this point, we have been assuming all habitat areas that could have a deme are equal in quality.  This will never be true.  One particular difference in habitat is that there may be some areas of good habitat in which more individuals are born than die (birthrate, b, is greater than deathrate, d) but other areas of poor habitat in which deathrates are greater than birthrates.  From what we have considered looking at single populations we would predict the former to grow and the latter to die out.  Such areas may, however, remain relatively constant in size if individuals tend to move out of the first kind (emigrate) but move into the second kind (immigrate.)  Models that consider birthrates, deathrates, immigration rates, and emigration rates are called BIDE (for birth, immigration, death, emigration) models.  Based on them, we can define two kinds of population:

Source populations have higher birthrates than deathrates and have higher emigration (moving out of the population) than immigration (moving into the population.)  They are predicted to occur in areas of good habitat from which individuals emigrate when the areas get crowded.

Sink populations have higher deathrates than birthrates and have higher immigration than emigration.  They are predicted to occur in areas of poor habitat.  Individuals immigrate into these areas when sources become overcrowded.  Sinks are maintained because of immigration -- if no individuals moved into the populations, the fact that d is higher than b would mean that they would die out (or, think of them as sinks, they'd go "down the drain.")

To distinguish source from sink populations, we would need to determine whether b was greater than d or d was greater than b.  We could potentially do this using life table estimates of r (remember r=b-d) if we could keep track of individuals even if they left the area.

The existance of source and sink populations shows another reason that we need to consider more than one population to understand natural populations.  In addition, it affects our understanding of some ecological principles.  One example of this is the distinction between the fundamental and realized niches of a species.  We had defined the fundamental niche as the range of factors required to maintain a viable population, and the realized niche as the range of factors within which a species actually occurs, which we had considered to be typically narrower than the fundamental niche because of biotic interactions such as competition and predation.  If there are sink populations, however, we should note that these are in areas that do NOT have the range of conditions required to maintain the species since populations die out there without immigration, so they are outside of the fundamental niche.  They are within the realized niche, though, since populations do occur in sinks.  Thus, sink populations are an example of a situation that makes the fundamental niche narrower than the realized niche -- the opposite of the typical situation.

The existance of source and sink populations must be considered when setting aside areas of habitat as nature reserves for species.  It is crucial to set up nature reserves that maintain source populations -- if the source populations are not maintained and we set up reserves in areas where there are sinks, then the species we wanted to preserve will die out in the absence of the sources.