?Renewable Resources
If a fish stock, X, follows the growth function: G(X) = .5X (1- x/100), what is ?the Maximum Sustainable Yield (MSY)? What is the biomass that will produce this MSY? Graph the growth curve and these values.
If a fish stock, X, follows the growth function: G(X) = .25X (1- x/10), what is ?the Maximum Sustainable Yield (MSY)? What is the biomass that will produce this MSY? Graph the growth curve and these values.
Graph the total costs and total revenues for all sustainable bioeconomic equilibria for a single renewable resource under the Gordon-Scheaffer model as functions of Biomass. Identify and label the open-access and optimal steady states
Graphically demonstrate the effects of a price increase for fish in a static Gordon- Scheaffer model. What happens to the open-access and optimal equilibrium values of biomass and effort?
For each of the following types of taxes, graphically demonstrate the intended effect of the tax. For each give me a formula that the optimal tax would satisfy.
(a) Landings Tax? (b) Per-unit tax on effort
For a single-species fishery governed by a Schaeffer production function (i.e. ?catch, C = qEB) and logistic growth for the Biomass, B, so that B ? = rB(1 – b/k ) and constant marginal costs of fishing Effort, E so that the total costs are K ?given by TC = cE, consider following two management regimes intended to solve the tragedy of the commons: 1) a landings tax, t so that the price received by fishers is P – t, where P is the market price; 2) a technology control intended to raise the costs of effort. Graphically demonstrate the intended effects of both regimes and in a few words compare the effects on steady-state biomass values and the efficiency implications.
If uncertainty is present in a fishery, why might we care about stability? For a Logistic growth curve, graph two Harvest equilibria for the same harvest rate, one which is stable and the other which is not. Lable the stable biomass level, X S and…