A note on the allocation of investment

It is shown by example that the results obtained by Gruver [11 concerning specialization of investment in either directly productive or pollution control capital arise because of an implicit linearity assumption on the underlying technology. Utilizing a strictly concave “eighth sphere” technology, results are obtained which imply joint investment in the two types of capital except in “rare” instances. The results indicate the need for incorporating more general technologies into the analysis of such problems.     

Studies on influence of natural biowastes on cellulase production by Aspergillus niger

The objective of this study was to determine the influence of natural biowaste substrates such as banana peel powder and coir powder at varying environmental parameters of pH (4-9) and temperature (20-50 degrees C) on the cellulase enzyme production by Aspergillus niger. The cellulase enzyme production was analyzed by measuring the amount of glucose liberated in IU ml(-1) by using the dinitrosalicylic acid assay method. The substrates were pretreated with 1% NaOH (alkaline treatment) and autoclaved. The maximum activity of the enzyme was assayed at varying pH with temperatures being constant and varying temperatures with pH being constant. The highest activity of the enzyme at varying pH was recorded at pH 6 for banana peel powder (0.068 +/- 0.002 IU ml) and coir powder (0.049 +/- 0.002 IU ml(-1)) and the maximum activity of the enzyme at varying temperature was recorded at 35 degrees C for both banana peel powder (0.072 +/- 0.001 IU ml(-1)) and coir powder (0.046 +/- 0.003 IU ml(-1)). At varying temperatures and pH the high level of enzyme production was obtained at 35 degrees C and pH 6 by using both the substrates, respectively. However among the two substrates used for the production of cellulases by Aspergillus niger banana peel powder showed maximum enzymatic activity than coir powder as substrate.     

A note on optimal taxation of environmental spillovers

This note addresses the question of what policy the government should adopt when industrial pollution can be reduced partially by the imposition of effluent taxes and partially by a publicly operated waste treatment plant.In the case of increasing returns to public abatement, an effluent tax set at marginal user cost will not generate enough revenue to finance the facility. The key issue is that of finding additional revenue the most efficiently. Here, this question is dealt with in the framework of commodity taxation, with consideration given to the possibility that both effluent and commodity taxes derived on efficiency grounds might be quite regressive.     

A note on density dependence in population models

One of the most studied phenomena in ecology is density dependent regulation. The model most frequently used to study this behaviour is the theta-logistic model. However, disagreement has developed within the ecology community pertaining to the interpretation of this model’s parameters, and thus as to appropriate values for the parameters to assume. In particular, the parameter θ$\theta$ has been allowed to take negative values, resulting in the ‘growth rate parameter’ estimated to be negative for species which are extant and exhibit no signs of becoming extinct in the short-term. Here we explain this phenomenon by formulating the theta-logistic model in the manner in which the original logistic model was formulated by Verhulst (1838), in doing so providing a simple interpretation of model parameters and thus restrictions on values the parameters may assume. We conclude that θ$\theta$ should (almost always) be restricted to values greater than −1$-1$. This has implications for studies assessing the form of density dependence from data. Additionally, another model appearing in the literature is presented which provides a more flexible model of density dependence at the expense of only one additional parameter.     

Valuing eco-assets: A note on valuation methods

SUMMARY

The valuation of eco-assets should take into account the perceptions and judgments of the public. However, the value of eco-assets based on conventional calculations has often been unreliable as a result of differing situations and individuals involved. Therefore, a reasonable and efficient method for valuing eco-assets is needed. In this paper, a brief summary of the history of valuing eco-assets is provided, followed by a summary of conventional methods of valuation. This summary of the currently used methods revealed that they do not take into account the effect of the stage and development of the population determining the value of the eco-assets. Therefore, we have developed a social development stage coefficient (l), based on Engel's coefficient. A new valuation method was then created by integrating the development stage coefficient (l) with a conventional model. Finally, possible future strategies for valuing eco-assets are discussed.     

A note on the feeding of Calanus helgolandicus on detritus

Experiments on the feeding of Calanus helgolandicus females on detrital material were carried out. Natural detritus from the ocean was never ingested, whereas dead diatoms were readily eaten. Furthermore, it was shown that C. helgolandicus females ingested large amounts of fecal material produced by the same species in other vessels. These results indicate that the copepod C. helgolandicus feeds not only on living organisms, but also on dead particles.     

A note on a non-stationary point source spatial model

A point source, non-stationary covariance structure model is proposed, having only one additional parameter over a standard, stationary covariance structure, spatial model. Additionally, the proposed model is demonstrated to fit better than the three extra parameter, point source, non-stationary spatial model proposed by Ecker and De Oliveira (Commun Stat Theory Methods 37:2066–2078, 2008). The proposed model is fit from a Bayesian perspective and illustrated using a house sales dataset from Cedar Falls, Iowa.     

A note on the welfare-economic consequences of extended fishing limits

A standard two countries-two commodities model is developed to consider the gains in efficiency resulting from transferring common property fish stocks to the jurisdiction of coastal states attempting to reach allocative efficiency. As a result of this transfer, the long-term catch from seriously overexploited fish stocks will be greater than otherwise, causing the price of fish to fall. This will transfer some, and possibly all, of the gains from more efficient fishing to fish consumers in the rest of the world. The note concludes with some remarks on the plausibility of the assumption that governments will pursue allocative efficiency.     

A note on permits, standards, and technological innovation

Montero (J. Environ. Econom. Manage. 44 (2002) 23) contrasts the incentives to invest in new abatement technologies under different regulatory instruments and argues that one needs to consider the induced output effects that derive from lower abatement costs. Montero shows that, once one takes into account these effects on output, command-and-control instruments can generate stronger incentives to innovate than market-based instruments. This result rests on strategic output effects under command-and-control. However, he maintains that, under perfectly competitive conditions, market-based instruments will continue to weakly dominate command-and-control regulation. This note clarifies two issues raised by Montero. First, I use Montero's approach to show that in fact performance (concentration) standards will generate greater incentives to innovate than market-based instruments in perfectly competitive markets. One does not require strategic effects to get this result. Second, Montero abstracts from production costs and concentrates solely on abatement costs. He implicitly assumes that marginal production costs are constant. I show that some of Montero's results change once increasing marginal production costs are considered. When marginal costs are increasing, the benefit of additional output is tempered and market-based instruments again look more favorable.     

A note on the sufficiency of low resolution ecosystem models

Analysis of a system of non-linear differential equations illustrates the effects of interactions between biotic and abiotic components of a complex aquatic ecosystem model. A stochastic analysis shows that the variance of the abiotic variables is related in a simple manner to the autocorrelation function of the biotic variables. The results suggest that for oligotrophic and eutrophic conditions, relatively simple ecosystem models may be sufficient for studies of an aquatic environment. Under mesotrophic conditions, the high state variable resolution of a complex model may be necessary.     

A note on environmental risk and the rate of discount

This paper examines the use of risk-adjusted discount rates to evaluate future environmental risks. It is determined that the risk-adjusted discount rate should be lower—not higher—than the risk-free rate if evaluation of future environmental risks is to point toward optimality.     

A note on some mathematical models on the effects of Bt-maize exposure

Some mathematical models for the estimation of the effects of Cry1Ab and Cry1F Bt-maize exposure in the biodiversity are examined. Novel results about these models are obtained and described in this note. The exact formula for the proportion of population that suffers mortality exposed either to Cry1Ab or Cry1AF pollen is derived. Moreover, regarding Cry1F pollen effects, the species sensitivity of Lepidoptera is discussed.     

A note on the effect of tax brackets on non-renewable resource extraction

Tax brackets are a common feature of non-renewable resource taxes. Although the introduction of brackets would seem to be an innocuous way of approximating a non-linear tax system, the dynamic effects are surprising. This paper shows that the presence of tax brackets in both a severance tax system and a profits tax system can induce the extractive firm to depart from the well-known monotonically declining extraction profile and to choose instead a profile which has constant extraction rates over some interval of time.     

A note on the development of the thermocline in temperate lakes

An exact solution has been obtained for a non-linear partial differential equation governing the vertical transport of heat in a lake. The equation, derived and analyzed numerically by Sundaram and Rehm (1971, 1973) is based on a balance between thermal buoyany forces and wind induced turbulence. The exact solution displays the qualitative features of the numerical solution and its representation of the seasonal descent of the thermocline is accurate.     

A note on discreteness and Jevonsian deterioration in non-renewable resource exploration

Arrow and Chang's model of mineral exploration can be extended naturally to allow for deterioration in land quality, including the possibility that some land will remain unexplored even if the resource is indispensable. Discreteness is central to the necessary and sufficient conditions.     

A note on data augmentation and iterative simulation for survival rate estimation

In this paper we examine the use of data augmentation techniques for simplifying iterative simulation in the context of both Bayesian and classical statistical inference for survival rate estimation. We examine two distinct model families common in population ecology to illustrate our ideas, ring-recovery models and capture–recapture models, and we present the computational advantage of this approach. We discuss also the fact that problems associated with identifiability in the classical framework can be overcome using data augmentation, but highlight the dangers in doing so under both inferential paradigms.