Trends in capacity utilisation in the English Channel1 Diana Tingley, Sean Pascoe and Simon Mardle Centre for the Economics and Management of Aquatic Resources (CEMARE), University of Portsmouth, UK. A key component of the Structural Policy of the CFP involves the reduction of fishing capacity in order to bring this in line with the reproductive capacity of the stocks. Capacity reduction targets, defined in terms of physical input use under the multi-annual guidance programme (MAGP), are largely based on the believed level of biological overexploitation of the stocks. An alternative indicator of the extent of excess capacity in a fishery is the level of capacity utilisation. This is the ratio of actual to potential catch, and is an output, rather than input, approach to capacity measurement. In this study, trends in capacity utilisation are examined for some key fleet segments operating in the English Channel. The level of capacity utilisation is estimated using Data Envelopment Analysis. Paper presented at the XII Conference of the European Association of Fisheries Economists, Salerno, Italy, 18-20 April 2001. This study is part of the EU funded project ‘Measuring capacity in fisheries industries using the data envelopment analysis (DEA) approach’ (DGFISH-99/005). 1 Introduction The measurement and management of fishing capacity has become a major international theme in fisheries management over the last few years. This is reflected in the number of international conferences and workshops dedicated to capacity measurement and management (e.g. FAO 1998, 2000) and the development of an "International Plan of Action on the Measurement of Fishing Capacity" (FAO 1999). In the EU, capacity management has been an important feature of the Structural Policy of the Common Fisheries Policy (CFP). In most EU countries, fleet reduction has been required through a decommissioning scheme known as the Multi-Annual Guidance Programme (MAGP). Several separate (but consecutive) programmes have been run since 1983. Prior to 1992, the aim of the programme was largely to contain fleet capacity and prevent effort from expanding. Since 1992, the aim of the programme has been to reduce the fleet capacity in each member state, measured in terms of total engine power and gross tonnage, to target levels that are assumed commensurate with the restriction on harvesting imposed through the total allowable catches. Generally, older vessels have been targeted for removal. Countries that exceed their capacity reduction targets may allow new vessels into the fishery, with fleet modernisation being another feature of the Structural Policy. Capacity management requires a measure of the existing level of capacity, as well as some target level of capacity. In the EU, capacity is measured in terms of physical inputs, principally engine power, gross tonnage and days fished. Capacity targets are set for each country for different fleet segments in terms of these three input levels under the MAGP, with particular emphasis on the first two inputs. Implicit in these measures is a relationship between the level of inputs and outputs of the fishery. Capacity reduction targets are primarily set on the basis of the level of overexploitation of stocks harvested by different fleet segments. It is assumed that a percentage decrease in physical inputs will result in a proportional decrease in outputs (i.e. effectively assuming constant returns to scale). The effects of a reduction in the physical inputs employed in the fishery on the level of output will, to a large extent, depend on the level of utilisation of these inputs. If the inputs are not fully utilised, then fleet reduction may have little or no effect on the output of the fishery, as the remaining boats may increase their individual outputs through increased capacity utilisation. As boat numbers decrease in a fishery, crowding effects also decrease, resulting in an increased output per unit of (nominal) effort and hence encourage an increase in individual Page 1 fishing effort2. As a result, fleet reduction programmes are only successful in reducing catch if average capacity utilisation is high in the fishery (such that the remaining boats are unable to increase their effort). Capacity utilisation refers to the ratio of actual to potential output. A measure of capacity utilisation less than one implies that the same fleet, if fully utilised, could produce more than it is currently doing. Conversely, the same level of catch could have been taken by a smaller fleet if fully utilised. As a result, capacity underutilisation is also an indicator of existence of excess capacity in a fishery, and the measure can be used to provide an indication of the extent of excess capacity. From the above, the measurement of capacity utilisation can provide valuable information relevant to capacity management. A range of methods have been developed to estimate capacity utilisation, although the most common is Data Envelopment Analysis (DEA). The DEA technique has been suggested as the preferred approach to capacity measurement in fisheries largely as a consequence of being able to measure capacity at the individual species level in a multispecies fishery (FAO, 2000). In fisheries, the technique has been applied to the Malaysian purse seine fishery (Kirkley, Squires et al., 1999), US Northwest Atlantic sea scallop fishery (Kirkley, Färe et al., 1999), Atlantic inshore groundfish fishery (Hsu, 1999), pacific salmon fishery (Hsu, 1999), the Danish gillnet fleet (Vestergaard et al., 1999), and the total world capture fisheries (Hsu, 1999). In this study, capacity utilisation is estimated using DEA for a number of different UK fleet segments operating in the English Channel. A range of different measures of capacity utilisation are made based on different output measures (both composite single outputs as well as multiple outputs). Trends in capacity utilisation over the period for different size classes of boats are also examined. The Fisheries of the English Channel The English Channel contains of a wide variety of fishing activities that are aimed at targeting a variety of species. Approximately 4000 boats operate within the English Channel, over half of which are UK boats (Tétard et al., 1995). These broadly fall into 7 gear types: beam trawl, otter trawl, pelagic/mid-water trawl, dredge, line, nets and pots. In total, 92 species are landed by boats operating in the English Channel. However, the majority of the landed weight and value are made up of less than 30 species. The optimal (profit maximising) level of effort employed in the fishery by an individual is the level of effort at which marginal revenue per unit of effort equals its marginal cost. Decreased crowding increases the marginal revenue per day fished, thereby increasing the optimal number of days fished (assuming marginal cost per day does not change). 2 Page 2 Capacity management in the Channel is based primarily on a unitisation scheme. Each vessel is required to hold a number of vessels capacity units (VCUs) based on the size and engine power of their boats, such that VCU l b 0.45kW (1) where l is length of the boat (in metres), b is the breadth (in metres), and kW is the engine power (in kilowatts). In order for a new boat to enter the fishery, sufficient VCUs need to be purchased from other fishers to meet the requirements of the new boat. Also, an additional number of VCUs need to be purchased and surrendered under the unitisation policy, the number of which varies depending on the size of the new boat. The objective of this is to ensure that total fleet capacity (in terms of VCUs) does not increase as a result of boat replacement, and is, in fact, reduced to allow for the (presumed) greater efficiency of the newer boat. The VCUs have also been the basis of the fleet reduction programme in the UK. A decommissioning programme was established in the UK to meet the capacity reduction targets set under the MAGP. Under this programme, VCUs were bought back by the Government with the intention of reducing the overall fleet capacity. Pascoe, Coglan and Mardle (2001) examined the relationship between VCUs and the harvesting capacity of two fleet segments in the Channel (gillnetters and otter trawlers in the western Channel) and found that the capacity output per VCU varies considerably (in terms of catch composition) between the segments. As a result, transfer of units from one segment to another may result in a substantial change in the overall catch composition in the Channel. Consequently, the impact of the decommissioning scheme on the output of key species in the Channel will depend on from which fleet segments the VCUs were removed. Further, the relationship between capacity output and the number of VCUs also varied considerably between the two segments. While VCUs were related to capacity output for the trawlers (at least for some species), there was little correlation between output and VCUs for the gillnetters. As noted above, the objective of this study is to examine the level of capacity utilisation for different fleet segments in the Channel. This will provide further information on the potential effectiveness of fleet reduction scheme as a means of reducing the overall output from the fishery. Low levels of capacity utilisation will reduce the effectiveness of the scheme, as the remaining vessels can increase their utilisation rate, thereby increasing their output. Capacity and capacity utilisation measurement using DEA The measurement of capacity of a firm (e.g. boat) can be described as its potential output given its fixed factors of production. Therefore, to measure this level of overall capacity, in practice the potential output of a firm is determined by a comparative analysis of the output Page 3 levels achieved by other firms of similar size with similar activities. Differences in output between similar firms can be due to either differences in capacity utilisation or differences in technical efficiency, both of which are relative measures. Capacity utilisation is the level at which the firm operates given its level of variable input usage, which may be less than possible under normal working conditions. Technical efficiency on the other hand is the degree to which the potential output is achieved given the amount of both variable and fixed inputs employed. For example, in the case of a fishery, differences in the catch of two boats of the same size may be due to a difference in the number of days fished (capacity utilisation), or a difference in the ability of the skipper in harvesting the resource (technical efficiency). Therefore, in order to determine the potential output of a boat under normal operating conditions, these effects need to be separated out. DEA is a non-parametric approach to the estimation of capacity and technical efficiency. An advantage of DEA is that it is able to incorporate multiple outputs directly in the analysis. Further, the technique does not require any pre-described structural relationship between the inputs and resultant output, which allows greater flexibility in the frontier estimation. A disadvantage of the technique, however, is that it does not account for random variation in the output(s), and so attributes any apparent shortfall in output to either capacity under-utilisation or technical inefficiency. The following example takes a two output example to demonstrate DEA for the estimation of capacity and capacity utilisation. The illustrated example describes five boats (j = {A,B,C,D,E}) targeting. In terms of fixed input use, the fleet is homogeneous. Therefore, the level of catch is determined by the extent to which the fixed inputs are fully utilised. Figure 1 shows the catch (uj,m) achieved by the boats for both species (m = {1,2}). The production possibility frontier is defined by boats A, B C and D, which as they lie on the frontier are assumed to be operating at full capacity. However, boat E is producing less of both species relative to the frontier and is therefore assumed to be operating at less than full capacity. The production potential of boat E can be found by expanding the output of both species radially from the origin until it reaches the frontier (point E*). OE*/OE is the expansion factor () by which output of boat E could be increased. Ccapacity utilisation of boat E is given by OE/OE* (i.e. 1/). The shape of the frontier will differ depending on the scale assumptions that underlie the model. Two scale assumptions are generally employed: constant returns to scale (CRS) and variable returns to scale (VRS). The latter encompasses both increasing and decreasing returns to scale. However, there are generally a priori reasons to assume that fishing would be subject to variable returns, and in particular decreasing returns to scale. Figure 2 shows the differences between these alternative measures for the five boats in the example above. In the analysis in this paper, the frontier is assumed to follow the form of a VRS model where zero Page 4 inputs equates to zero outputs. Hence, the frontier would go through the points OBCD and would not be defined by the standard VRS envelope ABCD as shown. Figure 1. Two output production possibility frontier uj,1 Figure 2. CRS and VRS efficient frontiers Output A CRS frontier B C E* D VRS frontier O3 O2 B E C E O1 A D O uj,2 Fixed input The VRS DEA model is formulated as a linear programming (LP) model, where the value of for each vessel can be estimated from the set of available data. Following Färe et al. (1989, 1994) this DEA model of capacity output given current use of inputs is given as: Max 1 subject to 1u 0 , m z j u j , m m j z n j x j ,n x0,n z j x j ,n 0,n x 0,n z j j n ˆ (2) j 1 j z j 0, j ,n 0 n ˆ where 1 is a scalar showing by how much the output of each boat can be increased, uj,m is the output m produced by boat j, xj,n is the amount of input n used by boat j and zj are weighting factors measuring the distance boat j is from the frontier. The value of 1 is estimated for each vessel separately, with the target vessel’s outputs and inputs being denoted by u0,m and x0,n respectively. Inputs are divided into fixed factors (i.e. set ) and variable factors (i.e. set ̂ ). The measure of capacity output is calculated by relaxing the bounds on the sub-vector of variable inputs, x̂ . This is achieved by allowing these inputs to be unconstrained through introducing an input utilisation rate ( j , n ). This is estimated in the model for each boat j and Page 5 variable input n (Färe et al., 1994). The restriction z j 1 allows for variable returns to j 3 scale . Hence, capacity utilisation (CU) is defined as: CU 1/ 1 (3) The measure of CU ranges from zero to 1, with 1 being full capacity utilisation (i.e. 100 per cent of capacity). Due to random variations in the catch being measured as under-utilisation rather than stochastic error, the estimated capacity utilisation may be biased downward (and capacity output biased upwards). Further, the observed outputs may not be produced efficiently (Färe et al., 1994), and hence some of the apparent capacity under-utilisation may be due to inefficiency (i.e. not producing the full potential given the level of fixed and variable inputs). If all inputs (both fixed and variable) are not being used efficiently, then it would be expected that output could increase without an increase in the level of variable inputs through the more efficient use of these inputs. By comparing the capacity output to the technically efficiency level of output, the effects of inefficiency can be separated from capacity under-utilisation. As both the technically efficient level of output and capacity output can be upwardly biased due to random variability in the data, the ratio of these measures is a less biased (both statistically and theoretically) measure of capacity utilisation. The technically efficient level of output requires an estimate of technical efficiency of each boat, and requires both variable and fixed inputs to be considered. The VRS DEA model for this technically efficient measure of output is given as: Max 2 subject to 2 u 0,m z j u j ,m m j z j x j ,n x0,n z n (4) j j 1 j zj 0 where 2 is a scalar outcome showing how much the production of each firm can increase by using inputs (both fixed and variable) in a technically efficient configuration. In this case, In contrast, excluding this constraint implicitly imposes constant returns to scale while zj1 imposes nonincreasing returns to scale (Färe et al., 1989). 3 Page 6 both variable and fixed inputs are constrained to their current level. In this case, 2 represents the extent to which output can increase through using all inputs efficiently. The technically * efficient level of output ( uTE ) is defined as 2 multiplied by observed output (u). As the level of variable inputs is also constrained, 2 1 and the technical efficient level of output is less * than or equal to the capacity level of output (i.e. uTE u * ). The level of technical efficiency is estimated as: TE 1 / 2 (5) Consequently, the unbiased estimate of capacity utilisation (CU*) is estimated by: CU * CU 1 TE 1 1 2 2 1 (6) As 1 2 , the unbiased estimate CU* CU. Data An extensive database of trip level log-book data covering the period 1993-1998 was disaggregated into 8 different fleet segments based on recorded fishing activity (beam trawl, otter trawl, scallop dredging, lining, netting, crab potting, whelk potting and ‘other’ activities). The trip level data were aggregated to provide monthly levels of output and effort by vessel over the period examined. In total, the combined sub-data sets contain over 150,000 observations (Table 1). Table 1. Summary of available data Gear Total data set Boats Observations Average per year Boats Observations Catcha Valueb (tonnes) (£'000) Beam trawl 247 18,702 139 3117 1595 14,953 Otter trawl 529 99,594 243 16,599 1913 10,451 Scallop Dredge 215 12,504 84 2084 5277 8728 Pots 178 5021 59 837 1784 3084 Gillnets 337 13,451 140 2242 707 1959 Longline 209 5142 63 857 628 366 a) The catch has been weighted by revenue shares. b) Values have been inflated to 1998 values using a Fisher price index The key inputs used in the analysis were days fished, 'deck' size (estimated as length4*breadth, comparable to the first part of the VCU definition in equation 1) and engine 4 Overall vessel length was used as opposed to regulation length Page 7 power (in kW). A range of alternative output measures were used in the analysis. CU was estimated using both single composite outputs and multiple outputs. The two composite outputs were catch weight (a composite measure of individual catch of each species weighted by its average revenue share for all boats operating with that gear in that year), and revenue. The latter was inflated to 1998 values using a Fisher price index. A different Fisher price index was estimated for each fleet segment, representing the different combination of species in the catch. For the multiple output measures, the top five species in terms of value for each type were used individually, with the other species aggregated into a composite 'other' category. Again, the 'other' catch (in weight terms) category was derived using revenue shares, and all revenues were inflated to 1998 values. The number of observations varied from year to year. Many boats are multi-purpose, particularly the smaller boats, so the number of boats using a particular gear type varied from year to year and over the year. As some boats will operate for only a relatively short time period using a particular gear type trawl gear, the final data set used in the analysis was a subset of the data set presented in Table 1. Only boats that used the gear for at least 4 months a year and in at least 3 of the six years were used in the final analysis. This resulted in many of the multi-purpose boats being excluded from the analysis, such that the resultant data set consisted of boats that primarily used one gear throughout the year. As a result, the data set used in the analysis was substantially smaller that the set of available data (Table 2). Table 2. Summary of consolidated data sets used in the analyses Total in data set Gear Boats Number of Catchb Obs. (Kg) Beam trawl 101 6840 4801 Otter trawl 171 8215 1141 Scallop Dredge 37 1553 14,806 Pots 28 916 6030 Gillnets 51 2276 2618 Longline 15 452 6270 a) The catch has been weighted by revenue shares. b) Values price index Average per boat per month Valueb Days Deck area Engine (£) fished power (Kw) 10,352 6 160 422 6454 12 56 155 21,860 11 143 375 8121 9 43 95 3444 5 50 127 2910 8 40 186 have been inflated to 1998 values using a Fisher Results The results of DEA calculations of CU, TE and unbiased CU for five major gear types averaged over the period 1993-98 are shown in figure 3. The number of observations in the data sample for longliners was felt to be too small and so results are not presented for this gear type. Page 8 The results were produced using a linear programming model developed in GAMS. As data on stock abundance are not available the model is run separately for each time period, i.e. one month, with all vessels fishing in the same area5, in the same month, being compared to each other to determine which vessels lie on the full efficiency or full capacity utilisation frontier and for those that lie within it, how far inside it they are found. It is assumed that stock levels will not vary considerably during one month hence lack of stock abundance data is not perceived to be a significant problem. It is apparent from Figure 3 below that the results for CU and TE calculated using multipleoutput measures based on revenues and weights (‘multiple, revenue’ and ‘multiple, weight’) are higher than those calculated using composite single-output measure indexes (‘single, revenue’ and ‘single, weight’) across all gear types. This difference is particularly notable between CU and TE scores generated for each gear type. When unbiased CU scores are calculated the difference between single-output and multioutput measure results is less dramatic. However, the latter scores were still higher than the former across each gear type: between 5% and 13% higher. The smallest difference of 5% was found for potting, whilst the largest difference was for gillnetting. The difference for scallop dredging was 8%, otter trawling 9%, and beam trawling 11%. No pattern to these results between gear types is discernible. 5 While it is possible for boats to operate in two areas in the same month, resulting in a lower CU in each area relative to the boats that only fished in one area, the incidence of this in the consolidated data sets used was relatively small (i.e. less than 10 percent of the observations). Page 9 Figure 3 Comparison of DEA results, by type of output measure and gear type (1993-98) Otter trawl Beam trawl 1.0 1.0 0.9 0.9 0.8 0.8 0.7 0.7 0.6 0.6 0.5 0.5 0.4 0.4 0.3 0.3 0.2 0.2 0.1 0.1 0.0 single, revenue single, weight multiple, revenue multiple, weight single, revenue single, weight multiple, revenue multiple, weight Scallop dredge Key: 1.0 0.9 CU 0.8 TE unbiasedCU 0.7 0.6 0.5 Single, revenue – single composite output based on revenues 0.4 Single, weight – single composite output based on weights 0.3 Multiple, revenues – multiple outputs based on revenues 0.2 Multiple, weights – multiple outputs based on weights 0.1 0.0 single, revenue single, weight multiple, revenue multiple, weight Pots Gillnets 1.0 1.0 0.9 0.9 0.8 0.8 0.7 0.7 0.6 0.6 0.5 0.5 0.4 0.4 0.3 0.3 0.2 0.2 0.1 0.1 0.0 single, revenue single, weight multiple, revenue multiple, weight single, revenue single, weight multiple, revenue multiple, weight The unbiased CU scores for each gear type in turn are shown in figure 4. These have been disaggregated by vessel length categories to focus on small inshore vessels (less than 10m in overall length), medium-sized vessels (10 to 15.9m) and large vessels (greater than 16m). Note should be taken of the sample sizes used to provide average results for each vessel length category; for example, the average unbiased CU results for medium-sized otter trawlers was calculated from the results of between 102 to 151 vessels on average for each year, whilst results for the larger vessels were produced using data from between 13 to 21 vessels each year over the period 1993-98. Page 10 Beam trawl Otter trawl The results1.0 for the mobile gear types (otter trawl, beam trawl and scallop dredge) show that Scallop dredge the1.0 medium sized vessels were operating more closely to optimum unbiased CU levels than 0.9 5-14 vessels 8-17 vessels The difference was very significant for the beam trawl and otter trawl the0.9 larger vessels. 102-151 vessels 0.8 vessels across the whole period. The difference was also clear for scallop dredges. 0.7 0.8 1.0 0.9 0.8 0.7 0.6 0.7 13-21 vessels 13-20 vessels 0.6 70-74 vessels 0.5 Pots results, single output revenue index, by gear type and vessel length Figure 4 Unbiased CU 0.6 1.0 0.4 3-6 vessels category (1993-98) 0.5 1993 1994 1995 1996 1997 1998 0.5 0.4 1993 1994 1995 1996 1997 1998 0.9 0.8 0.7 9-14 vessels 0.4 1993 1994 1995 1997 1998 <10m 10-16m >16m all 1-4 vessels 0.6 0.5 0.4 1993 1996 1994 1995 Key to vessel lengths: 1996 1997 1998 Gillnets 1.0 0.9 20-33 vessels 3-9 vessels 0.8 0.7 0.6 1-6 vessels 0.5 0.4 1993 1994 1995 1996 1997 1998 Page 11 Results are less clearly defined between vessel length categories for the fixed gear types. It seems that unbiased CU was highest for medium-sized potting vessels and generally lowest for smaller potters. As many of the smallest potters operate on a part-time basis, this result is not unexpected. However the smaller gillnetting vessels have higher unbiased CU scores as compared to the largest gillnetters which have the lowest scores. Attention should be paid to the numbers of vessels proving data for analysis in each length category. While capacity utilisation fluctuated from year to year, there appeared to be a general, gentle upwards trend in average annual unbiased CU for all major gear types between 1993 and 1998 (Figure 5). The rise between 1993 and 1998 was only 1% for scallop dredgers, but 7% for otter trawlers, 9% for beam trawlers, 10% for potters and 12% for netters. Overall potters achieve the highest unbiased CU scores, consistently throughout the period, with the exception of 1996. In 1998 potters appear to achieve, on average, unbiased capacity utilisation levels of over 90%. Scallop dredgers appear to achieve the next highest consistent score although are just overtaken in 1998 by otter trawls being the third nearest type to achieve full capacity utilisation levels. Gillnetters achieve unbiased capacity utilisation levels of just over 80% in 1998 whilst beam trawlers appear to have the lowest unbiased CU averaging a score of 68% over the period and 75% in 1998. Figure 5 Average annual unbiased CU by major gear type (1993-98) 1.0 unbiased CU score 0.9 0.8 scallop dredgers beam trawlers netters potters otter trawl 0.7 0.6 0.5 1993 1994 1995 1996 1997 1998 It is interesting to note that numbers of vessels included in the analysis generally decreased between 1993 and 1998 numbers. As only records of vessels fishing a particular gear type for Page 12 4 or more months per year and for at least 3 years in the 1993-98 period were included in the analysis, their numbers used in the analysis provide a very crude measure of fishing effort. With the exception of scallop dredging and beam trawling, vessel numbers used in the analysis decreased between 1993 and 1998; by 28% of otter trawlers, 22% of potters and 32% for netters. Numbers of beam trawlers in the sample increased by only 3% over the period whilst numbers of scallop dredgers increased by 44%. Discussion and conclusions The results of the above analysis show some interesting features that are relevant to such an analysis in other fisheries. Foremost of these is the similarity between the unbiased capacity utilisation scores for both the revenue and catch based measures. In all cases, the difference between the unbiased CU for the two output measures was small. A greater difference was observed between single and multi-output measures, with the later demonstrating higher average unbiased CU. This last result is likely due to the fact that that the multiple output measures provide six pieces of output information for the main species landed (five main species and a sixth composite measure of all other landings) against which each vessels’ activity can be ranked to determine where the efficient ‘frontier’ lies and how each vessel compares to it, given its input level. As compared to the single output measures, much more information is available in multi-output analysis thus allowing the estimation of efficiency and capacity utilisation to be determined more accurately. Further to this, single output measures are more vulnerable to random fluctuations in the catch of one particular species, whereas multi-output data incorporates information across the range of key species into the analysis. This has the effect of reducing the influence of random fluctuations on the comparative process, fundamental to DEA, so providing more accurate results. For example, under analysis using a single measure revenue output, if one vessel caught very large amounts of a high value species whilst other vessels fishing the same gear in the same month caught ‘normal’ amounts of this species (and all vessels caught normal amounts of other species), the other vessels would be ranked much less efficient if a single measure output is used as compared to a multi-output measure. In this situation a multi-output measure would determine that the other vessels caught normal amounts of the other species, but just were not as lucky to catch so much of the high value species, thus their DEA scores would be higher and more accurate under the multi-output measure analysis, as compared to with the single-output measure. The results of the analysis suggest that the existing fleet could increase its output by up to 30 percent by increasing its capacity utilisation. Conversely, the same output could have been Page 13 taken by a smaller, fully utilised fleet. The general upward trend in unbiased CU is perhaps due to decommissioning schemes in the English Channel which operated up to 1997. The reduced crowding as a result of the scheme would have resulted in economic incentives for the individuals remaining in the fishery to increase their level of effort. Future analysis Of key interest to managers are the factors that cause CU to change. Results from the estimation of unbiased CU scores can be regressed6 against a range of factors to determine if any factors, other than the inputs used (days at sea, ‘deck’ area and engine power) drive the results. Factors which may influence the results include: total effort in the fishery which provides a representation of the extent to which it is crowded; changes in key prices, i.e. of fuel and fish; and, port data detailing localities to fishing grounds. The possible impact of management measures implemented in English Channel fisheries, either by the local Sea Fisheries Committees or at the national or international (EU) level, needs to be examined. Particular features to be considered include the introduction of square mesh size limits, decommissioning programmes implemented as part of the Multi-annual Guidance Programmes and restrictions on ‘days at sea’. 6 As the value of CU is limited to be less than 1, appropriate limited dependent variable regression techniques need to be applied. Page 14 References Brooke, A.D., Kendrick, D. and Meerhaus, A. 1992. GAMS: A User’s Guide. Scientific Press, California. Campbell, H.F. and Lindner, R.K. 1990. The production of fishing effort and the economic performance of license limitation programmes. Land Economics, 66:55-66. Coglan, L., Pascoe, S. and Harris, R.I.D. 1999. Measuring efficiency in demersal trawlers using a frontier production function approach. 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