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Harvesting of Populations. Avoid overexploitation. Avoid underexploitation (economic, conservation). How much? How often?. Harvesting of Populations. AJ Nicholson (1895-1969). Nicholson’s Blowflies. Carrying Capacity. BHT, table 16.6. harvest reduce population size.
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Harvesting of Populations • Avoid overexploitation • Avoid underexploitation • (economic, conservation) • How much? How often?
Harvesting of Populations AJ Nicholson (1895-1969) Nicholson’s Blowflies Carrying Capacity BHT, table 16.6 • harvest reduce population size • harvest reduce competition… • … thereby increasing fecundity, survivorship and lifespan • high yields if populations are below carrying capacity! Low intraspecific competition High intraspecific competition
Harvesting of Populations Maximum Sustainable Yield (MSY): fixed quota Fixed-quota harvesting Unstable MSY (risky business!) High quota Medium quota Low quota Stable Low recruitment rate (high competition) Low recruitment rate (few individuals) BHT, fig 16.11 MSY: the highest harvesting rate that the population can match with its own recruitment
Harvesting of Populations Maximum Sustainable Yield (MSY): fixed quota model The logistic equation K = 1000 r = 0.6 Carrying capacity Population size (N) Intrinsic rate of increase
Harvesting of Populations Maximum Sustainable Yield (MSY): fixed quota model The logistic equation with harvest K = 1000 r = 0.6 – h Harvest quota Population size (N) Sustainable yield: dN/dt = 0
Harvesting of Populations Maximum Sustainable Yield (MSY): fixed quota model The logistic equation with harvest K = 1000 r = 0.6 – h Harvest quota Population size (N) hm=150 h Sustainable yield: dN/dt = 0 =500 Nm K N Max sustainable yield: dh/dN = 0 Nm = = 0 • MSY harvested from a population size of K/2 … • … to yield (rK/4) animals per year
Harvesting of Populations Maximum harvesting frequency: at what N? harvest ... The logistic equation: N = K/2 Highest frequency BHT, fig 16.12
Harvesting of Populations Maximum Sustainable Yield (MSY): fixed quota extinction! Nm BHT, fig 6.12 Fixed-quota: not a very safe management strategy Population size – h(…) Effort (/days) Efficiency (catch/vessel)
Harvesting of Populations Maximum Sustainable Yield (MSY): fixed effort Effort h(…) = q E N Population size Efficiency Stable MSY Economy is important! Stable SY cost Large net yield BHT, fig 16.14a Fixed-effort: a much safer management strategy (requires monitoring of N which can be expensive) BHT, fig 16.14b
Harvesting of Populations K = 1000 r = 0.6 Population size (N) hm=150 h =500 Nm K N Maximum Sustainable Yield (MSY): fixed effort model Effort h(…) = q E N Population size Em = 0.3 Efficiency Finding Em: The logistic equation
Harvesting of Populations Instability of harvested populations: climate BHT, fig 16.17