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Population dynamics across multiple sites. Multiple populations. How many populations are needed to ensure a high probability of survival for a species? To what extent should multiple populations be clumped together in space versus spread apart?
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Multiple populations • How many populations are needed to ensure a high probability of survival for a species? • To what extent should multiple populations be clumped together in space versus spread apart? • Can small populations or those occupying sites with low habitat quality substantially add to the regional viability of a species?
Terminology • Site: a discrete piece of habitat that has some potential of maintaining a population of the species of interest. Separated Juxtaposed
Terminology • Population: the group of individuals living on a site • While the individuals across all sites will be called the Total or multi-site population
Terminology • Metapopulation: sets of discrete, largely (but not entirely) independent populations whose dynamics are driven by local extinction and recolonization via movement from other populations (Levin 1969)
Data needs • Modeling the operation of a set of populations requires all the information to do a good job of a single-population PVA for each site, plus data on movement rates between populations, plus estimates of how temporal fluctuations in population processes are correlated between population
Characteristics of plant PVAs (n=90) Modified from Menges 2000, TREE 15: 51-56
Requirement 1: • Site specific Population dynamics. • Information about the quality of the population • But how likely is that for every population of an endangered species, many years of census data, let alone estimates of all vital rates, will be available?
Common approaches: • Assume that population growth rates or vital rates are identical at all sites, but carrying capacities differ among sites. • Assume that most demographic rates are identical across sites, but to allow a handful of rates, about which more information is available to differ.
Requirement 2: • The importance of correlations. • Through “safety in numbers” multiple populations can strikingly decrease the risk of total extinction of a species. • However, this benefit critically relies on a lack of correlation in the dynamics, and hence risks of extinction, of the different populations
The California clapper rail 0.06*0.79*0.72=0.034 Harding et al. 2001
Among sites Pearson correlation coefficients of H. cumulicola vegetative-small adult transition (TSF>15 years)
Joint-rank correlations for Delphinium uliginosum patch level data
The Lake Wales Ridge World distribution ofHypericum cumulicola Archbold
Patch level: Archbold Biological Station 110 Rosemary scrub patches Patch 45 H. cumulicola occupancy = 58 %
occupied unoccupied Large-Aggregated = 84 % Large-Isolated = 57 % Small-Aggregated = 52 % Small-Isolated = 41 % Hypericum cumulicolaoccupancy related to patch size and patch isolation (p<0.001) Quintana-Ascencio & Menges. (1996)
Fire intensity and location in burn unit 58 E, 1967, 1968, 1976 and 1980
Requirement 3: • The importance of movement. • If movement rates are quite high, then multiple sites do not truly harbor multiple populations, but instead a single one that utilizes a dispersed set of habitat patches. • If movement occurs at low rates, it may nevertheless play an important role in supporting multi-site viability by allowing rescue of populations
How to quantify movement? • Capture-recapture analysis
Capture-recapture methods • use resighting data to estimate the actual numbers of individuals in each class including those not directly seen • To accomplish this, you must not only count and relocate the marked animals, but also estimate the number of unmarked animals in each site
Fitting functions Fitted Dispersal Observed