Community Ecology and Conservation • It is too costly (time and money) to use a species-by-species approach to conservation • Frequently a single species in a given habitat/ecosystem is not the only species of conservation concern Species Assemblages • The ecological principle most commonly applied to conservation biology are those of island biogeography (e.g. MacArthur and Wilson 1963,1967) Species Assemblages • At the core of island biogeography theory is the species-area relationship • “Given a set of islands (whether oceanic, protected lands, or archipelagos) of discrete sites, larger sites will support more species than smaller sites, all else being equal” Species-Area Curve Species-Area Curve • While it lacks a certain specific predictive power, it does have conceptual value • Also, it focuses on species number, not their identity Nested Subsets • However, there are patterns of species richness among islands described by the species-area relationship and these describe the species composition Nested Subsets • Impoverished biotas are frequently nonrandom subsets of richer biotas • This pattern, termed ‘nested subset’ (Patterson and Atmar 1986) has been known to biogeographers for years (e.g. Darlington 1956) and has strong potential for conservation biologists Nested Subsets • Not much structure in the distributional-site relationship Site • Species 1 2 3 4 5 • A X X X • B X X X • C X X X • D X X X • E X X X Nested Subsets • Perfectly nested set of biota Site • Species 1 2 3 4 • A X X X X • B X X X X • C X X X • D X X • E X 5 X Nested Subsets The species-area relationship is a pervasive phenomenon (taxonomically and geographically) and most archipelagos show a nested structure However, one does not necessarily imply the other… Nested Subsets For example, sets of islands or habitat patches can vary in species richness for reasons unrelated to area (e.g. distance) Or a perfect species-area relationship can fail to show a nested structure Mechanisms of Nestedness • Four mechanisms have been proposed to account for a pattern of nestedness (and the species-area relationship) • 1) differential immigration rates • 2) differential extinction rates • 3) nested habitat types (diversity) • 4) passive sampling Mechanisms of Nestedness immigration • If sites vary in their distance from the source pool of immigrant species, then species of superior dispersal ability will be able to colonize more sites than will less vagile species Mechanisms of Nestedness extinction • If sites represent fragments of a oncecontinuous habitat and vary in the population sizes they can support, then local extinctions of species at the sites could produce a nested pattern if extinctions occur in a deterministic sequence • Sites with high extinction rates would only contain extinction-resistant species Mechanisms of Nestedness extinction • Differential extinction has been suggested to explain the strong nested patterns seen in the biotas in habitats fragmented and isolated by post-Pleistocene climate change • Similar results exist for extinctionproduced nestedness on shorter time scales as well Mechanisms of Nestedness habitat distribution • If species are habitat-specific, and the habitats themselves have a nested distribution among sites for geologic or other non-biological reasons, then nestedness of the species distributions would be, in effect, an epiphenomenon • The influence of habitat distribution to nested structure remains an open question Mechanisms of Nestedness passive sampling • Abundant species have a higher probability of being represented in a given biota than rare species, simply by chance Nested Subsets • Observed relationship • • • • • • Species A B C D E 1 X X X X X 2 X X X X Site 3 4 X X X X X 5 X Mechanisms of Nestedness passive sampling • Thus, passive sampling could contribute to nested structure • Bird fauna of montane forests in the Great Basin show no evidence of faunal relaxation or of isolation effects Mechanisms of Nestedness passive sampling • Bird fauna of montane forests in the Great Basin show no evidence of faunal relaxation or of isolation effects • Analysis indicated faunas are outlier-rich (Ua = 4.5, Up = 9.5) whereas the extinction-dominated mammal faunas are hole-rich (Ua = 11, Up = 5) Mechanisms of Nestedness passive sampling • Bolger (1991) tested for the effects of passive sampling in bird faunas of chaparral fragments (and compared them to unfragmented ‘mainland’ habitat) • The fragments were hole-rich (extinction) whereas the mainland plots showed an outlier-rich pattern, although not significant SLOSS • Results are not consistent as to how much nestedness will resolve the SLOSS debate • Is likely system-specific and can be calculated Nested Subsets: Statistics • Although several statistics have been generated, the N index of Patterson and Atmar (1986) • N is calculated in the following way: • (1) the smallest biota in which a given species is located • (2) all larger biotas lacking this species are tallied • (3) the tallies for all the individual species in the matrix are summed Nested Subsets calculating species lacking Nested Subsets • Consequently, N is a measure of how much a matrix deviates from perfect nestedness • Cutler (1991) and Wright and Reeves (1992) suggested a complimentary metric • (1) locate the largest biota lacking a given species and counting all smaller biotas lacking a given species and counting all smaller biotas in which it occurs (N2) Nested Subsets • If most of the deviations are in the form of ‘holes’ in the pattern (e.g. widespread species unexpectedly missing from large biotas), then N2 > N • Conversely if most of the deviations are in the form of ‘outliers’ on the pattern (e.g. rare or restricted species unexpectedly present in small biotas) then N > N2 Nested Subsets • There is also the U metric that takes into account both holes and outliers • Two subscores, Ua and Up, tally unexpected absences (holes) and unexpected presences (outliers) • Hence, the U index counts the minimum number of steps required to transform an imperfectly nested pattern into a perfectly nested pattern Nested Subsets Holes Outliers 1 Hole or Outlier? Nested Subsets • However, some degree of nestedness is to be expected by chance (a species-rich biota has a higher probability of including any given species than does a speciespoor one), the statistical significance of N, N2 and U must be assessed • Solution: Monte Carlo simulation of a large number of randomized matrices where the metrics are calculated and tested (t-test) Nested Subsets • The programs (RANDOM 0 and RANDOM 1) were developed by Patterson and Atmar (1986) to generate random archipelagos • In both programs, the number of sites, species richness and size of species pool are constrained to match the observed matrix Nested Subsets • However, in RANDOM0, all species have an equal probability of being assigned to a site by the program • In RANDOM1, the species occurrence probabilities are weighted according to the actual number of occurrences recorded for a given species Nestedness Calculator Nestedness Calculator • Based upon the concept of the orderliness of species extinction • Statistical stochasticity is a concept is a concept closely related to heat, information, noise, order and disorder • Hence the measure is heat of disorder to describe the historical biography of an archipelago Nestedness Calculator • The system ‘temperature’ of an archipelago can be visualized as follows: • In a perfectly ‘cold’ system, each species would go extinct in turn as each species falls below its minimum sustainable population size, and that order would not change no matter how many times the experiment were repeated Nestedness Calculator • A matrix that is perfectly cool • Species H will not occur on islands smaller than size X H X Nestedness Calculator • But if the system temperature is raised (0100o), extinction order would concomitantly become less determined due to the increasing influence of random processes acting on the individuals populations and islands • Species extinction order will no longer be perfectly replicable Nestedness Calculator • Small mammal communities on Rocky Mountains appear to be holerich (extinction driven) Nestedness Calculator • Compared to Queen Charolotte Island landbirds, which are not extinction driven (subsequent analysis suggests nested habitat) • Also provides insight into which species are disorderly (autecology) Nestedness Calculator • The RANDOM0 and RANDOM1 matrices for the same data set • Provides an estimate of the amount of random variation (vs. ‘coherent’ noise)