The effectiveness and feasibility of economic incentives of input control in the mitigation of agricultural water pollution Asko Miettinen Miettinen, A. 1993.The effectiveness and feasibilityof economic incentives of input control in the mitigation of agricultural waterpollution. Agric. Sci. Finl. 2:453-463. (Water and Environment Research Institute, FIN-00101 Helsinki, Finland.) Agricultural water pollution in Finland is mainly caused by nutrient losses from fields. Nutrient losses can be mitigated, e.g., by changing management practices and by plant rotation. Adoption of the necessary measures may be voluntary, but economic incent- ives can also be used. Nutrient losses can be regulated, e.g., by incentives to decrease the use of fertilizers. Economic incentives include a change in product prices, an input tax or an input quota. So far an input tax has been applied in Finnish agriculture. The effectiveness and feasibility of these policy measures on the farm can be assessed by calculating the change in farm profit and nutrient losses. The input quota was found to be the least-cost measure at the farm level when the marginal abatement costs of measures were compared on a grain farm growing barley. Alternative policy measures caused bigger losses in profit on the farm and the reduction in nitrogen leakage was smaller. Key words: non-point source pollution, nitrogen, policy measure, assessment, farm profit Introduction The environmental impacts of agriculture in Fin- land mainly concern surface waters and take the form ofsoil erosion and nutrient losses which cause eutrophication and oxygen deficit. High nitrate concentrations also reduce the quality of ground- water. However, the nitrate concentration in groundwater in Finland is generally low and con- centrations of over 25 mg/1 (National Board of Waters and the Environment 1988) are met only rarely in rural wells. In Finland the total phosphorus load from field cultivation varies between 2,000 and 4,000 tonnes per year, and the total nitrogen load between 20,000 and 40,000 tonnes per year (Rekolainen 1989). The nutrient loads from manure storage are about 400 tonnes per year for phosphorus and 1,100 tonnes per year for nitrogen. The present phospho- rus fertilization rate clearly exceeds the uptake of phosphorus by crops (26 kg P/ha vs. 12 kg P/ha). Moreover, the phosphorus content in the soil has increased by 36% since the early twenties (Reko- LAiNENetal. 1992). According to a decision made by the Finnish government in 1988 (Ministry of the Environment 1988), the phosphorus load from agriculture should be reduced by 30% by the year 1995, combined with a significant reduction in nitrogen loading. Reduction of the phosphorus load was given prior- ity, since phosphorus is usually the limiting factor for algal growth in fresh waters in Finland. Since 453 Agric. Sei. Finl. 2 (1993) https://www.c-info.fi/en/info/?token=fJsOJ8xlEJ0rrghU.SpMv4nAdmnj3Pcf33ajPkA.EcmS7wBF4xC_-DckBfcAM2gjwvpsw1SLi94-exuVmcd-SZ_0eXsS5fg-IByEGbJVV5BItdagYSOnZ1b8UbGHn5MB9BMtqSYef4Q6H-ytLnKNfcNgMB3InM8rOettvf-WBuy3vB4Ti04Swy5Wl2DlAfhVfgvEPWR0yqzkW0t2PzXd2FYz6e4u3qwHoE9Ro1T7oonJ4RzamPdeOsy0qaC1TPM0KEJoB-AcFfnMO-lOd3_PW4oA2jFbP2ebPuQCYKt4cI_rLVI then a new program has been preparead for envir- onmental protection in agriculture (Ministry of the Environment 1992), in which the target for the reduction of nutrient losses is set at 50%. Agricultural pollution can be mitigated by changing the management practices on farms. The load of total phosphorus can most effectively be controlledby decreasing therate oferosion through reduced tillage methods (Rekolainen et al. 1992). Nitrogen leaching cannot be prevented through re- duced tillage methods, so it is more important to reduce the use of nitrogen. This can be affected through economic incentives, e.g. taxes. Nutrient taxes have, in fact, already been used in Finland, but there is no broader experience of the effect of economic incentives. In the OECD the agricultural policy measures which address environmental issue are divided into three groups: 1) direct regulations, 2) information policy, and 3) economic instruments (OECD 1992). Direct regulation is an administrative means of achieving a particular environmental objective. The opposite of direct regulation is information policy, which is usually aimed at informing farmers of research results and technical innovations, as well as of new management practices which can be ap- plied to obtain environmental benefits. Economic instruments are based on market incentives to apply methods which mitigate pollution. These instru- ments can be divided into different categories such as taxes and charges, tradeable discharge quotas and permits, or subsidies. The effectiveness of economic instruments on agriculture depends on the impact on farm income and profitability. De- cisions about which mitigation method is to be used are left to the farmer. To achieve improved water quality it is import- ant to find a measure whose cost to the farmer is as low as possible (e.g. Andréasson 1990). This paper evaluates the effectiveness and feasibility of various policy measures in reducing the use of ni- trogen by comparing the changes in farm profit and nitrogen loss resulting from different measures. The results are especially important for the authori- ties in deciding which measures to apply, and they also benefit the farmers iferror-trial decision mak- ing can be avoided. Environmental policy measures in agriculture The theory of point-source pollution regulation in- cludes means such as effluent taxes, tradeableemis- sion permits and emission quotas. The topic has been discussed widely in literature, e.g. Baumol and Oates (1971, 1990), Tietenberg (1978), Seskin et al. (1983), O’neil et al. (1983), Strass- mann (1984), Braulke and Enders (1985), Crowder et al. (1985), McGartland and Oates (1985), Malueg (1989, 1990). In the case of non- point source pollution it is not feasible to use stand- ard pollution control measures such as direct re- strictions or effluent taxes because of the physical uncertainty and monitoring difficulties involved. Although losses could be estimated, it is difficult to determine theconnection between a discharge level and the damage caused by the pollutant (Segerson 1988). When assessing different measures it has to be kept in mind that the main target is to reduce the damage resulting from nutrient leaching. There are three alternative ways of creating an incentive to reduce non-point source pollution: 1) to change farm management practices, 2) to regulate the input of nutrients, and 3) to regulate the ambient level of nutrients in the environment. The second alternat- ive will be discussed in more detail since i has been applied in Finland. So far, the regulation of inputs has been mainly used to collect funds via nutrient taxes for marketing excess production of Finnish agriculture (Council of State ofFinland 1992). Some measures for regulating the use of input are presented in the following. The efficiency of input taxes and input restrictions in reducing agricultural pollution have been discussed on many occasions, e.g. Taylor and Frohberg (1977), de Haen (1982), Griffin and Bromley (1982), England (1986), Shortle and Dunn (1986), Braden et al. (1989), Andréasson (1990), Hanley (1990), Conway (1991), Johnson et al. (1991) and Fuchs and Muerschel-Raasch (1992). While estimation of the socially optimal pollu- tion level is inaccurate due to incompleteness of information about consumers’ preferences, a target level can be set for input use which should be 454 Agric. Sd. Fin!. 2 (1993) reached in order to reduce damage to the environ- ment. The level of input use can be changed by, e.g., taxing the products (Huang and Uri 1992). Taxation of a product reduces its total value and thereby decreasing the optimal use of the input which also reduces nutrient losses. Input taxation can also be used to reduce nutrient losses. A target level can be achieved by setting a tax e.g. on the total use of input. In setting an input tax, production costs shouldbe taken into account. In Figure 1 the total cost of production is TC, and TVP is the total value of the product. The horizontal axis shows xi use of input X. If there are no restric- tions, input use is x. The profit from selling the production is [c,d]. The input tax increases the total costs such that the curve TC changes to TC’. The new optimum of input use is x’. Profit has been reduced to the difference between a and b. Assuming that the relationship between the amount of input and nutrient losses can be estim- ated, a direct restriction can also be set. This so- called input quota is equal to the amount of input after tax has been introduced. The farmers’ choice is to maximize theirprofit when the use of one input is restricted. An attempt can be made tocompensate for this by using other inputs. In the case of fertil- izer this could mean growing leguminous plants or increasing the use of manure. Although a part of the restricted input use can be compensated by other inputs, the marginal productivity of these decreases at a faster rate than in the case where no restrictions exist. Policy measures in Finland In Finland environmental measures in agriculture are mainly enacted through direct regulation. There is no general and consistent environmental legisla- tion, but a number of laws have been introduced to protect nature. Legislation concerning agriculture comprises, e.g., the Water Act, the Chemicals Act, the Air Protection Act and the Fertilizer Act (VAINIO-M ATTILA 1990). Market-based incentives in Finland have so far been established for fertilizers. In 1979 a fertilizer tax ofFIM 0.20/kg was imposed, mainly as a means of collecting funds for marketing excess agricul- turalproduction (Council of State ofFinland 1978). The effect of this tax remained modest with respect to environmental benefits. In 1990 the first nutrient tax was introduced for phosphorus (FIM 0.50/kg P). It was raised after six months to FIM 1.00/kg P and one year later to FIM 1.50/kg P. At the begin- ning of 1992 the fertilizer tax and the phosphorus tax were combined, and a nitrogen tax was intro- duced. The tax for nitrogen was FIM 2.90/kg P and for phosphorus FIM 1.70/kg N. The tax for phos- phorus has remained the same since September 1992,but the nitrogen tax has been reduced to FIM 2.60/kg N due to general fall in agricultural profit- ability (Kettunen 1993). Methods Background to the assessment When comparing environmental policy alternatives for reducing non-point source pollution, the main interest is on optimality, efficiency and feasibility (Weinberg 1991). Optimality means social opti- mality, which shouldbe achieved by a policy meas- ure. Efficiency means cost-efficiency, i.e. which measures are most profitably applied to achieve goals for nonpoint source pollution. Feasibility means the possibility of achieving those goals. Fig. 1. Input tax increases total production costs TC (total cost) to TC’ and the economically optimal use of input de- creases according to the TVP-curve (total value of product) from x to x’. The farm profit declines from [c, d] to [a, b]. 455 Agric. Sei. Fint. 2 (1993) If all three conditions are fulfdled, the so-called first-best measure has been found. The socially op- timal level of pollution is difficult to define owing to the huge amount of information needed. The costs incurred in obtaining this information could be so high that they would be override benefits gained. If the first-best conditions cannot be reached, we can try to find a situation with a poten- tial improvement in welfare. This so-called second- best situation is different from the Pareto improve- ment, since it is possible for an individual to be worse off, although total welfare is increased. Still, there is a problem in evaluating the effects on the environment and on society. Let us denote the change in total utility by AU, which should be positive for a measure to be carried out. (1) AU = Auc + Aup + Alls > O where Au c is the change in consumer’s utility, Au p is the change in producer’s utility and Au s is the change in the utility of society caused by a reduc- tion in costs for water purification and health serv- ices. The change in consumer’s and society’s utility is positive, and in producer’s utility mainly negat- ive although positive changes are possible. To solve the problem of pollution we should determine those conditions by which the social op- timum is reached, and the means by which profit- maximizing firms and welfare-maximizing citizens meet these conditions. Different factors of economic action may be determined inefficiently due to externalities and improperly defined prop- erty rights (see e.g. Tietenberg 1992). Inefficient determination can also result in incomplete market information about resource use and differences in social valuation. Another way of assessing policy measures, in- stead of social and private utility, is to consider the cost-effectiveness of the different measures. To as- sess cost-effectiveness we should be able to evalu- ate the costs ofpollution abatement. The most prof- itable measure can be found by comparing abate- ment costs. At the farm level, pollution abatement costs are related to changes in total yield, use of technical and chemical inputs, and work. These costs vary depending on the set production target. On a farm specialized in cereal crop production, losses from the whole field area are possible, whereas on a dairy farm the share of grassland of the total cultivated area is much larger and nutrient losses consequently lower. Pollutionabatement costs of a farm In the following we consider a cereal farm with production input x with unit price w , producing product Y with unit price p. The farmer’s objective is to maximize farms profit n by the optimal use of inputs, i.e. (2) max Ki =pYi- w xi where Yi = f(xi) is the yield without control meas- ures and xi is the use of input. An optimal solution can be found by differentiating Jti with respect to x (first order condition): arc, df(x,) 5f (x,) w(3) 3 = O«P3 w = 0«-3 = - ox dx dx p which shows us that, in order to maximize profit, marginal product (MR) with respect to input use should equal the price relation between input price and product price. The optimal level of input use xi can be solved as a function of input price and product price xi = x(w,p). To make sure that the maximum exists at that point also a second order condition must be fullfilled: d2 7l 32f(N)(4) = 0N2 0N“ When measures for the mitigation of environ- mental problems are considered, the costs of the measures are included in profitmaximizing equa- tion such that product tax T Y decreases the unit price of product p, input tax Tx raises the unit price of the input and effluent tax TL sets a value on the emitted dischargeL i.e. (5) max rt2 = (p-Ty) Y2-(w + Tx )x2 -LTl 456 Agric. Sei. Fin!. 2 (1993) where Y 2 and X 2 are the yield and the use of input when control measures are introduced. The mar- ginal loss in profits (Art) on a farm are obtained by subtracting 7t2 from Jti : (6) An - pAY + T yY2 + LTl + wAx + Txx2 When comparing different measures it is import- ant to know their cost-effectiveness. Cost-effect- iveness can be compared using the marginal abate- ment cost, MAC, for a given measure which can be calculated by dividing the change in profit At: by the change in loss AL: At: (7) MAC = AL The MAC is affected by losses, and it varies depending on the crop and soil type. In this analysis the idea is to assess the relative effectiveness of different measures. The loss function parameters are kept constant in all calculations. Farm costs of controlling the use of input Structure of the model Control of the use of inputs by economic means can be performed by raising prices administratively or through taxation. When the price of an input rises, the economically optimal level of the input de- creases. Another factor affecting the use of input is total yield. Therefore the following costs have to be considered when calculating the cost-effectiveness of various measures: input price and loss of total revenue. The effect of a nitrogen tax depends on the response of the yield to nitrogen fertilization, the relation of the price of nitrogen fertilizer and the price of product, and the rate of nitrogen tax. If the yield function of a plant is Y=f(N), the optimal level of (nitrogen) input use can be obtained by setting marginal revenue MR equal to the marginal cost of input MC (see Eq. 3). Barley is the most common crop in southern and western Finland (National Board of Agriculture 1992f) where environmentalproblems are most se- vere (Rekolainen et al. 1992). A quadratic nitro- gen yield function was estimated for barley (see Appendix 1) assuming no nitrogen carryover. This function is used in comparing the effects of differ- ent policy measures on farm profit. The optimal level of input use depends on the shape of the yield function. Paris (1992) has criticized the use of the quadratic function because it overestimates the op- timal nitrogen level. The non-linear von Liebig - function would be more feasible (Paris 1992), but the Finnish data required for that are incompatible (Sumelius 1993). A condition for the farmer’s production decision can be formulated on the basis of Equation 3. The production costs of barley (Association of Rural Advisory Centres 1991) are divided into harvest costs which include harvesting, drying and work, and other production costs which include other variable costs and fixed costs. The maximization problem is: (8) max n = (p-HC-TY )Y-PC-(wN + Tn)N* where n is profit, p is the unit price of barley, Y=f(N ) is the yield function of barley, HC the harvest cost per kg of barley yield, PC other pro- duction costs, Ty product tax, wn price ofnitrogen, Tn nitrogen tax, and N the optimal level of nitro- gen fertilizing. Other production costs include costs that depend on the fertilization level, but their ef- fects on profit calculation are negligible. Agricultural water pollution in the model is con- sidered as nitrogen leaching. A Danish nitrogen loss function presented by Simmelsgaard (1991) is a function of nitrogen application as a fraction of the average nitrogen use: (9) = b 0 + bN«y = yn ebo+bN ¥ n where y = nitrogen leaching, kg/ha yn = nitrogen leaching at average nitroge use N = applied nitrogen as a fraction of average nitrogen use There are not enough results for Finland to estimate an accurate loss function for nitrogen. In 457 Agric. Sei. Fint. 2 (1993) this paper the Danish function form was adopted and parameters fittedfor Finnish conditions accord- ing to present expert information (Turtola and Jaakkola 1985, Rekolainen 1989). This hypo- tetic function is: (10) L= u + vez(N' 1) where L is total loss of nitrogen (kg/ha), N is ap- plied nitrogen as a fraction of average nitrogen use, and u, v and z are parameters. The values of these parameters are u = 10, v= 10 and z = 1.8. Average nitrogen use is set at 100kg N/ha annually, accord- ing to latest data on the use of fertilizers in Finland (Kemira 1992). The loss function presented here is not the only possible function. The parameters of the loss function could be adjusted and an analysis of different loss functions could be made, but the type of function used here gives a good example and a possibility to assess relative changes in profits and losses. The profit maximizing equation can, in theory, be used to assess the effects ofchanges in producer prices, fertilizer taxes, fertilizer quotas and effluent taxes on the profit of a farm. This evaluation is static and gives the outlines for the effects of policy measures on input regulation. Results Effects ofchanges in product prices As an environmentalpolicy measure, a reduction in product price can be considered as taxing environ- mentally harmful production. In an open economy, the tax would be transferred to consumer prices and the demand for environmentally harmful products would subsequently decline. In a closed economy, the taxing of prices would lead to diminished re- turns for farmers, but no change in the prices of products would take place because prices are de- fined administratively. By differentiating product prices on the basis of the environmental effects of production, it might be possible to change to less polluting production. However, the differentiation of prices requires a political decision and could, therefore, be difficult to carry out. A static assessment of the effects of a change in product price was made for barley. The effects of price change on production costs were not taken into account because of the dynamic nature of cost adaptation to price changes. The producer price of barley was decreased until it finally reaches the so-called world market level.Figure 2 shows barley yield, farm profit and nitrogen loss as percentages of situation when no policy measures are imple- mented. The horizontalaxis shows the farm price of barley. In order to obtain a significant reduction in nutri- ent losses, the price of barley should be lowered very dramatically, and thereduction in nutrient loss would be very expensive for farmers. When the price of barley goes down to FIM 0.70/kg, the calculated farm profit becomes negative and it is not possible to continue production. Neither are there any more negative environmental effects from agricultural production. The low efficiency ofa price change as an envir- onmental measure can be explained partly by the shape of the yield function Y(N). The economically optimal level of fertilization remains relatively high, despite the reduction in profitability. The other reason is the relationship between fertilizer and product price. Fertilizer can be seen as a Fig. 2. Estimated relative yield of barley, nitrogen loss and profit at optimum as a function of the price of barley. 458 Agric. Sei. Fint. 2(1993) relatively low-cost production input and, therefore, there is no incentive to compensate it with other inputs as long as the given conditions apply. Effects of an input tax The input tax in agriculture is an application of the effluent tax in industry. The difficulty is how to measure the amount of discharge from agriculture. A nitrogen tax increases the price of all units of nitrogen applied. In Figure 3 the amount of nitrogen tax varies from 0 to 22FIM per kg of nitrogen. The increase in fertilizer price reduces its economically optimal use. The farm profit does not decrease as rapidly as in the case of a change in price. In the simulation the nitrogen tax has to be relat- ively high in order to bring about a significant reduction in nutrient losses. Flere, as well as in the previous case, the estimated response of barley to nitrogen shows such a small marginal productivity for nitrogen at the optimal input level that the effect of the input tax remains weak. This analysis does not take into account the pos- sibility of compensation of nitrogen fertilizer with other inputs such as growing of leguminous crops or increased manure use, because there is no data available in Finland about the costs of compensat- ing inputs in cereal crop production. Effects of an input quota The input quota can be defined by the desired qual- ity level of the environment. It is determined by the biological toleranceof the environment for nutrient loading. This same limit can also be used for other measures such as the input tax. The setting of an input quota is an administrative measure only, and can be implemented by legislation which fixes these limits. There is no market incentive in this case, and an administrative control system is, there- fore, needed to successfully introduce this abate- ment measure. Figure 4 shows the input quota on the horizontal axis and the respective relative changes of yield, farm profit and nitrogen loss are presented by curves. When the quota is set, the farmers reduce their use of input so that the quota is fullfilled. A input quota does not affect farm profit as drastically as a change in product price, but the nutrient loss decreases quite rapidly. The input quota could lead to inefficiency in production if no compensating inputs exist. Some ways of compensating the lim- ited input use have already been presented. An additional possibility would be to increase the field area of a farm by renting fields or by clearing new ones. Fig. 3. Estimated relative yield of barley, profit and nitrogen loss at optimum as a function of the nitrogen tax. Fig. 4. Estimated relative yield of barley, profit and nitrogen loss at optimum as a function of the nitrogen quota. 459 Agric. Sei. Fint. 2 (1993) Table 1. Marginal abatement cost of reducing leaching by 30%. change in profit MAC FIM/ha FIM/kg N Product tax 5728 572.8 Nitrogen quota 147 14.7 Nitrogen tax 1441 144.1 Marginal abatement costs of the measures In order to compare the cost-effectiveness of the different measures, marginal abatement costs (MAC) were calculated for each abatement meas- ure considered in this study. MAC was calculated for a 30% reduction in nitrogen loss. The marginal abatement cost is therelationship between the total change in profit and the change in nitrogen loss. The abatement measures not only affected the use ofnitrogen butalso the useofphosphorus due to the fact that fertilizers used in Finnish agriculture are mainly compound fertilizers. Table I shows the change in farm profit and the marginal abatement cost for each of the simulated measures. If only farm costs were considered, the input quota wouldbe the most profitable alternative at the farm level. A similar conclusion has been drawn, e.g., by Johnson et al. (1991). However, it should be kept in mind that the adoption of an input quota would also cause administrative costs. These costs cannot be easily verified, and they do not affect the decision making of farmers. Changing the product price cannot be a feasible measure because of its high expenses for farmers (see also Huang and Uri 1992). Conclusions Agricultural non-point source water pollution is mainly caused by nutrient losses from fields. Sev- eral mitigation methods and techniques have been proposed for reducing runoff and erosion. One of the most effective measures to get farmers to adopt these methods is the use of economic incentives. Product tax, input tax and input quota for control- ling input use were evaluated in this study. When introducing control measures, the target is to achieve a pollution level which reduces the det- rimental effects of discharges. It is not possible to determine the social optimum because economists are incapable of knowing all the preferences of individuals concerning the environment. However, a socially desirable pollution level can be deter- mined administratively. To be able to do this, infor- mation is required about the state of the environ- ment and its tolerance for discharges. In order to reach the desired pollution level, environmentally beneficial production methods can be used that can be promoted either voluntarily or through economic instruments (legislation, charges, taxes). Economic incentives can be aimed at, e.g., an ambient pollutant level, a discharge level, produc- tion techniques or input use. In this paper, economic incentives for the regulation of the use of fertilizers were considered. Of the studied alternat- ives, the input quota was the most efficient measure at the farm level. In reality, a variable input like fertilizer, which can be easily transported, cannot be controlledand the possibility ofa "black market" does exist. The input tax on nitrogen has to be considerably high in order to bring about the desired reduction in the use of input, and therespective abatement costs would greatly reduce the farm profit. Nitrogen was used as an example here, but a similar tax could be set on phosphorus. A change in product price was also examined. This measure is not feasible due to the severe reduction it causes in farm profit. Fur- thermore, the decrease in input use was quite frac- tional. Incentives to regulate input use can be set in several ways, but the heterogeneity of different geographical areas - e.g. southwestern and eastern Finland - may cause problems in the application of measures. Most of the nutrient losses inFinland are discharged from cereal farms (Rekolainen et al. 1992). On dairy farms, storaging and spreading of manure is a major environmental problem. If a nitrogen tax is imposed, it will lead to certain im- balances; production costs wouldrise also on farms with less discharge, and a reduction in input use 460 Agric. Sei. Fint. 2 (1993) would not guarantee any improvement in water quality even if losses mightbe reduced. Dairy farms basically use more nitrogen per unit of field area, but the losses of nutrients from grass fields are lower than from, e.g., cereal crop fields. More research is needed to validate the assess- ment of different environmental policy measures. 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Land Econom- ics 54: 265-277. 1992.Environmental and natural resource economics. 3rd edition. HarperCollins Publishers Inc. New York. 560 p. Turtola, E. & Jaakkola, A. 1985. Viljelykasvin ja lannoi- tustason vaikutus typen ja fosforin huuhtoutumseen savi- maasta. Maatalouden tutkimuskeskus. Tiedote 6/85. 43 p. Jokioinen. Vainio-MAttila, B. 1990. Ympäristönäkökohdat maata- louspolitiikassa. Maatal. tal. tutk.lait. tied. 160.Helsinki. 41 p. Weinberg, M.J. 1991.Economic incentives for the control of agricultural non-point source water pollution. University ofCalifornia. Davis. USA. 259 p. Manuscript received April 1993 Asko Miettinen Water and Environment Research Institute P.O. Box 250 FIN-00101 Helsinki, Finland 462 Agric. Sei. Finl. 2 (1993) SELOSTUS Taloudellisten ohjauskeinojen tehokkuus maatalouden vesiensuojelussa Asko Miettinen Vesien ja ympäristöntutkimuslaitos Maatalouden aiheuttamaa vesistökuormitusta pyritään rajoit- tamaan mm. vähentämällä lannoitusta. Lannoitteiden käyttö- määriin voidaan vaikuttaa kiintiöinnillä, lannoitteiden hinta- muutoksilla tai maataloustuotteiden (limamuutoksilla. Näitä vaihtoehtoja tarkasteltiin tutkimuksessa. Päätös lannoitteiden käyttömäärästä jää siis viljelijän ratkaistavaksi riippuen pa- nosten ja tuotteiden hinnoista ts. tuotannonkannattavuudesta. Mikäli lannoitteille asetetaan kiitiö, voi viljelijä valita enin- täänkiintiön edellyttämän määrän lannoitteita. Lannoitteiden käytön vähentämiseen tähtäävien taloudel- listen ohjauskeinojen vaikutuksia simuloitiin mahdollisim- man yksinkertaisella mallilla, jossa tilalla oletettiin tuotetta- van vain yhtä tuotteita, rehuohraa. Mallissa kuvattiin viljelijän päätöksentekotilanne, jossa annettujen rajoitusten puitteissa oli löydettävä taloudellinen optimi. Vertailukohteeksi otettiin tilan voitto, joka muodostui kokonaistuotosta vähennettynä tuotantokustannuksilla. Muuttuvina kustannuksina otettiin lannoituskustannus typen osalta sekä puintikustannukset, muut kustannukset laskettiin kiinteisiin kustannuksiin. Tuo- tantopanosten käytön taloudellinen optimi saatiin selvitettyä asettamalla tuotannonrajatuotto jarajakustannus yhtäsuuriksi. Huuhtoutuminen arvioitiin pohjautuen Tanskassa estimoi- luihin huuhtoutumafunktioon, jota muokattiin vastaamaan suomalaisia olosuhteita. Toistaiseksi ei vielä pystytä nykyis- ten kenttäkoetulosten perusteella estimoimaan varsinaisesti suomalaisiin olosuhteisiin soveltuvaa huuhtoutumafunktiota. Vertailtaessa toimenpiteiden keskinäistä edullisuutta, ei huuh- toutumafunktion muodolla ole kuitenkaan niin ratkaisevaa merkitystä kuin tuotantoakuvaavalla funktiolla. Ohjauskeinojen arvioinnissa vertailtavana suureena käytet- tiin huuhtoutumisen vähentämisen rajakustannusta, joka on se kustannus, mikä viljelijälle aiheutuu tuotannostasaatavan voi- ton pienentymisenä, kun pellolta huuhtoutuvaa ravinnekuor- mitusta pyritään vähentämään. Vertailun edullisimmaksi toi- menpiteeksi osoittautui lannoitekiintiö, joka ei varsinaisesti ole taloudellinen ohjauskeino. Lannoitekiintiö edullisuus pe- rustui siihen, että kiintiöinnistä ei aiheudu muita kustannuksia kuin sadon aleneminen. Lannoiteveron vaikutuksen voimak- kuuteen vaikuttavat lannoitteen hinnan ja tuotteen hinnan vä- linen hintasuhde, lannoitteelle asetettavan veron suuruus sekä lannoitteen tuotantovaikutus ts. lannoitteella saatava sadonli- sä. Tuottajahinnan muutos aiheutti hyvin voimakkaan pudo- tuksen viljelijän tuottoihin, eikä saavutettu huuhtoutumisen vähentyminen ollut kovin voimakasta. 463 Agric. Sei. Fint. 2 (1993) APPENDIX 1. Estimation of a yield function for barley Nitrogen yield functions for barley were estimated on the basis of the empirical results of Esala and Larpes (1984). The nitrogen response of barley and wheat was tested at five different levels (0, 50, 100, 150,200kg N/ha) on different soils in 1969-1980. Otherfactors affecting production (weather, soil, tillage, pests, etc.) were considered as constant. Average yields of barley on siltclay soil with injection fertilization have been used in estimating the yield functions (linear, squareroot, quadratic). The coefficients in all functions are linear and the ordinary least squares method is used in all estimations. In practice the estimates of coefficients were calculated by SHAZAM computer program. Coefficients Estimate t-value Linear, a 1898.0(676.6) 2.8052* F = 16.38;p < 0.05 Y=a+bN b 22.360(5.524) 4.0475* R 2 = 0.8452 d = 1.4869 MSrcsid.= 762960 Squareroot, Y=a+bN l/2 a b 1137.2 (207.2) 5.4883** F = 169.3; p < 0.001 344.77 (20.70) 16.656*** R 2 = 0.9826 d = 1.4416 MS reSid .= 85834 Quadratic, Y=a+bN+cN2 1103.7 (1 19.6) 54.131 (3.793) -0.1589 (0.2846) 9.2266** 14.273*** -5.5815** F = 182.1; p < 0.01 R 2 = 0.9945 a b c d = 2.6187 * significant at 0.05 ** significant at 0.01 *** significant at 0.001 F test showed significance for linear function at 5% risk level, for quadratic function at 1% risk level and for squareroot function even at 0.1% risk level. A quadratic function was selected because of its highest 2 .. ,significance (R“) compared to the linear and squareroot functions, and because the mean square of residual was smallest in the quadratic function. The t-values of the estmated coefficients also showed the highest statistical significance for the quadratic function. The Durbin-Watson test was indecisive for all the functions estimated. Agric. Sei. Fint. 2(1993)