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Population Viability Analysis
Seeks relationship between population size and probability of extinction– does not need to calculate MVP– concerned more with determination of
probability that a population will persist for some arbitrary time (Boyce 1992)
– combine all sources of stochasticity and deterministic population growth into one model (usually requires computer simulation).
PVA is More than Modeling
It is the process of synthesizing information about a species or population and developing the best possible model for the dynamics of population size (Boyce 1992)– Learn what you do not know– Sensitivity analysis indicates what parameters may be
especially influential– Suggests management starting points that should be
monitored and adjusted through adaptive management
Steps in PVA (Boyce 1992)
Project demographics of populations through time– basically simulate life tables if age-structure is
needed
Forecast viability through time– affected by model of demographics and
incorporation of stochasticity• errors get amplified as projections span longer periods
Importance of Genetics versus Demographics in Modeling Emphasis should be on ecological,
environmental, and demographic factors not genetic ones– little evidence that genetic factors lead to extinction– allee effect, demographic stochasticity, disruption of
dispersal by habitat fragmentation are important (Lande 1988)
• allee effect: disruption of critical social behaviors when populations decline too far leads to rapid extinction for nongenetic reasons
Dangers of Using Too Few Variables
Early PVAs and MVP calculations were quick to use genetic considerations only– Led to 50, 500 rule (Franklin 1980, Soule and Wilcox 1980)– Ne >50 needed for short-term survival (avoid inbreeding)
– Ne>500 needed for long-term survival (ability to evolve in changing environments)
Spotted Owl and Red-Cockaded woodpecker conservation strategies were designed to maintain 500 breeders– Lande (1988) argues this would lead to extinction because
dispersal ability in fragmented habitat was not accounted for
PVA Shortcomings Simple assumptions as already stated
– but models are supposed to simplify!• So don’t rely on them for absolute management advice
Ignore ecology and focus on stochasticity, esp. genetics as mentioned– need to take into account habitat and spatial structuring of
populations– Effects of other species (biotic interactions)
Need to account for interactions among various vortices
Does More Data Help?
Yes, you can then estimate variation in demographics– Variance tends to increase as sample increases
up to a point. (Boyce 1992)• Insects >8 years
• birds and mammals may take 30-40 years
Ongoing Improvement in PVA (Mann and Plummer 1999)
Workshop last year in Berkeley Stretching PVAs to cover more types of life
forms– application to plants will remain difficult
• seed banks hard to model
Should genetic factors be modeled or are demographic ones sufficient?
Include human population growth and expected changes in landcover in models
Example of PVA for Alala
Double clutchingand predator controlmay be effective
Catastrophes Really Limit Ability to Recover Population
Managing the Captive and Wild Populations Together Increases Chance of Recovery
Two Populationsare better than oneeven with catastrophes
References
Dennis, B. Munholland, PL, and Scott, JM. 1991. Estimation of growth and extinction parameters for endangered species. Ecol. Monogr. 61:115-143.
Shaffer, ML. 1981. Minimum population sizes for species conservation. Bioscience 31:131-134.
Boyce, MS. 1992. Population viability analysis. Annual Review of Ecology and Systematics. 23:481-506.
Leigh, E. G. Jr. 1981. The average lifetime of a population in a varying environment. J. Theor. Biol. 90:213-239.
Lande, R. 1988. Genetics and demography in biological conservation. Science 241:1455-1460.
Simberloff, D. 1988. The contribution of population and community biology to conservation science. Ann. Rev. Ecol. Syst. 19:473-511
More References
Thompson, G.G. 1991. Determining minimum viable populations under the endangered species act. NOAA Technical Memorandum NMFS F/NWC-198.
Mann, C. C., and M. L. Plummer. 1999. A species’ fate, by the numbers. Science 284:36-37.
Soule, M. E. 1987. Where do we go from here? In M. E. Soule (editor), Viable populations for conservation. P. 175-183. Cambridge University Press, Cambridge.