Optimal Land Use and the Allocation of Endogenous Amenities

This paper explores the implications, from a public sector economics point of view, of combining welfare assessments concerning land use in urban and environmental economics respectively. Urban economics has a long tradition in determining the optimal allocation of land (or space) as a consumption good, while land use issues in environmental economics are predominantly rooted in hedonic pricing as a valuation method for optimising the allocation of public goods. Recently, hedonic pricing methods have been extended by adopting location choice models for the valuation of non-marginal changes in levels of local amenities. Following a possible revision of the location choices by the population, endogenous prices are introduced and compensated for in a willingness to pay. Some of the new methods also allow for social interactions by means of endogenous amenities. While endogenous prices are the main contribution of these so-called sorting models to the valuation literature, until now little attention has been paid to the efficiency of the market equilibrium assumed, in terms of the consumption of space. This is surprising, because social interactions as endogenous amenities might alternatively be interpreted as positive external effects. As such, they are likely to result in an oversupply of land in a competitive market. The dominant characterisation of the equilibrium on the land (or housing) market in sorting models is market clearing, given a fixed supply. In this paper, the total amount of land used in the market clearing equilibrium will be compared with the competitive market equilibrium and the allocation by a benevolent social planner maximising social welfare. It is shown that under relatively general conditions and allowing for endogenous amenities, market clearing with a fixed supply will yield a total amount of land used that is smaller than in a competitive market, but larger than in the case of land use planning. This result suggests that in public policy recommendations, sorting models could benefit from complementing the valuation methodology with the internalisation of external effects for optimising land use.

Welfare Economic Aspects of Land Use Planning

This paper develops a unifying framework for spatial and environmental economics, based on equilibrium considerations for population games. The main contribution of this paper consists of introducing a consistent concept for spatial welfare. Following the introduction of estimable locational sorting models for valuation methods in environmental economics, the relationship between the theoretical underpinnings of the hedonic pricing model and the bid rent concept in urban economics is re-examined. This is done along the definition of the ideal general equilibrium willingness to pay (GE-WTP) that is at the heart of most applications of locational sorting models in environmental economics. A GE-WTP should be able to account for the value of non-marginal changes in a spatially explicit distribution of local public goods. Commonly, such a GE-WTP is derived as a Hicksian WTP adjusted for endogenous prices. Endogenous prices are typically enforced by a market clearing condition, often a fixed supply, constraining the relocation of a population in response to the changes in local quality. This paper offers an alternative interpretation of a GE-WTP. It demonstrates how for a discrete choice formulation, a fixed supply generically results in a Nash equilibrium in a population game. Furthermore, it is shown that this Nash equilibrium corresponds exactly to a spatial equilibrium in urban economics. This observation allows for a novel spatially explicit approach to the evaluation of land policy options, combining current cost-benefit practice with the optimization of land use. Finally it is shown, how the GE-WTP can be adjusted for developers' decisions, based on the analogy with urban economic models. It allows this spatial welfare measure to be extended with endogenous, instead of fixed, supply. This makes the concept also suitable for comparing the social welfare implications of entirely different land use patterns.

Welfare Economic Aspects of Land Use Planning

This paper develops a unifying framework for spatial and environmental economics, based on equilibrium considerations for population games. The main contribution of this paper consists of introducing a consistent concept for spatial welfare. Following the introduction of estimable locational sorting models for valuation methods in environmental economics, the relationship between the theoretical underpinnings of the hedonic pricing model and the bid rent concept in urban economics is re-examined. This is done along the definition of the ideal general equilibrium willingness to pay (GE-WTP) that is at the heart of most applications of locational sorting models in environmental economics. A GE-WTP should be able to account for the value of non-marginal changes in a spatially explicit distribution of local public goods. Commonly, such a GE-WTP is derived as a Hicksian WTP adjusted for endogenous prices. Endogenous prices are typically enforced by a market clearing condition, often a fixed supply, constraining the relocation of a population in response to the changes in local quality. This paper offers an alternative interpretation of a GE-WTP. It demonstrates how for a discrete choice formulation, a fixed supply generically results in a Nash equilibrium in a population game. Furthermore, it is shown that this Nash equilibrium corresponds exactly to a spatial equilibrium in urban economics. This observation allows for a novel spatially explicit approach to the evaluation of land policy options, combining current cost-benefit practice with the optimization of land use. Finally it is shown, how the GE-WTP can be adjusted for developers' decisions, based on the analogy with urban economic models. It allows this spatial welfare measure to be extended with endogenous, instead of fixed, supply. This makes the concept also suitable for comparing the social welfare implications of entirely different land use patterns

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