ICES Journal of Marine Science ICES Journal of Marine Science (2012), 69(10), 1840–1849. doi:10.1093/icesjms/fss157 Assessment of goose barnacle (Pollicipes pollicipes Gmelin, 1789) stocks in management plans: design of a sampling program based on the harvesters’ experience J. M. Parada1 *, R. Outeiral 2, E. Iglesias 3, and J. Molares4 1 Centro de Investigacións Mariñas, Consellerı́a do Mar, Pedras de Corón s/n, Box 13, 36620, Vilanova de Arousa, Galicia, Spain Confrarı́a de pescadores de A Guardia. Baixo Muro, 32. 36780 A Guardia, Galicia, Spain 3 Confrarı́a de pescadores de Baiona. Alférez Barreiro, s/n. Casa do mar, 28. 36300 Baiona, Galicia, Spain 4 Dirección Xeral de Desenvolvemento Pesqueiro. Consellerı́a do Mar. Xunta de Gailica. R/ Irmandiños, s/n. 15701. Santiago de Compostela, Galicia, Spain 2 *Corresponding Author: tel: +34 886 206 348; fax: +34 886 206 372; e-mail: [email protected] Parada, J. M., Outeiral, R., Iglesias, E., and Molares, J. 2012. Assessment of goose barnacle (Pollicipes pollicipes Gmelin, 1789) stocks in management plans: design of a sampling program based on the harvesters’ experience. – ICES Journal of Marine Science, 69: 1840 – 1849. Received 26 April 2012; accepted 22 August 2012. Management plans of coastal marine resources require a wealth of information on socioeconomic topics, harvesting activities, population dynamics, and stock status. Moreover, the information provided by technical experts must take into account the needs of the managers. It must also adapt to schedules to serve a useful purpose. In many cases, the methodologies used by research teams are not directly applicable as they may be too complicated, aimed at specific objectives related to basic scientific work, or too costly to apply to long-term monitoring of extensive shellfish beds. Also, rocky coastlines exposed to heavy wave action preclude the use of sampling techniques that involve time-consuming data collection. This paper proposes a quick and simple methodology for gathering data in the field, based on the knowledge of the harvesters, to obtain stock assessments in keeping with their information needs. This methodology uses coverage percentage as an abundance index and weighting factor for the biometric information gathered from 50 specimens in each sampling. The sampling design uses the knowledge of the harvesters to define homogeneous strata. The results are in agreement with both the scientific-technical knowledge and the harvesters’ knowledge of the populations being analysed. Keywords: Assessment, goose barnacle, harvesting, Pollicipes pollicipes, sampling methodology, stock. Introduction The goose barnacle, Pollicipes pollicipes, is harvested as a shellfishery resource in a number of different regions on the Atlantic Rim from Brittany to southern Portugal, as well as in some North African countries such as Morocco (Barnes, 1996). Other goose barnacle species are harvested in Canada and Peru. In Galicia (northwest Spain) this fishery is of great significance both socially and economically. From 2003 to 2011 it reached a mean first sale price of 29 E/kg and a total mean value of 11 million euros annually (source: www.pescadegalicia. com). Goose barnacle extraction in Galicia is performed by more than 1500 harvesters who are grouped into 30 fishers’ guilds called “cofradı́as de pescadores” (Spanish organizations of artisanal fishers) generally located in small coastal towns where artisanal fishing is the main source of economic activity. The management of this fishery is based on a system similar to informative co-management (Sen and Nielsen, 1996), which takes advantage of territorial user rights for fishing (TURFs) whereby the responsibility is shared by the harvesters (through their guilds) and the fishery administration (Molares and Freire, 2003). One of the main characteristics of the extraction of this species in Galicia is its management through annual exploitation plans designed by the harvesters associated in “cofradı́as”, and validated by the Administration if the proposal falls inside the limits of the legal framework. The exploitation plans allow for the development of adaptive management that takes into account stock characteristics and market conditions at all times (Parada and Molares, 2012) and they have proved to be a tool that can be applied to other goose barnacle fisheries (Jacinto et al., 2010). # 2012 International Council for the Exploration of the Sea. Published by Oxford University Press. All rights reserved. For Permissions, please email: [email protected] 1841 Assessment of goose barnacle stocks in management plans Most of the “cofradı́as” that exploit the goose barnacle have a technical expert (generally a person with a degree in biology or marine sciences) whose services are financed by the fishery administration. Among their many functions, these experts are in charge of collecting catch and fishing effort data, carrying out stock assessments and writing up reports on the technical aspects of the exploitation plans. Their job, however, is not focused exclusively on the exploitation of the goose barnacle. They must also cover other S-fisheries (Orensanz, et al, 2005) such as seaweeds, sea urchins, and bivalves inhabiting the sand beds. Therefore, since only one technical expert has to attend to the exploitation of several species, the control of the fishery is limited to monitoring the catches by means of “control points” (generally attended to by a surveillance service) strategically located in the harvesting zones. The data collected at these control points include the amount extracted per person, effort exerted, and catch sizes. However, while the information provided by the control points is valuable to management (Jacinto et al., 2010), its assessment should not be based exclusively on these data. Drawing up and implementing exploitation plans in quotas require independent catch information such as population dynamics, stock abundance, and the stock structure of the exploited species (FAO, 2005). The availability of data for population estimations in terms of coverage, size structures, reproductive states, and abundance will help provide a foundation on which to base decisions in matters related to the rotation of extraction zones, evaluation of impact, interaction with other fisheries, mortalities, etc. The scientific knowledge applied to resource management has not always taken into account the actual needs or the previous knowledge of the communities that exploit these resources (Lauzier, 1999; Garcı́a Allut, 2000). The fishery administration also requires information on populations to evaluate the exploitation plans and to understand the situation along the entire coast. However, owing to the lack of a standardized methodology that can adapt to the possibilities and the means available to the technical experts, it is difficult to obtain comparable information. Moreover, most of the methodologies for goose barnacle population assessment require several people and are very time-consuming. These methods become difficult to carry on year after year, particularly by only one person trying to assess an extensive barnacle bed. Due to the difficulties in obtaining data and maintaining long-term stock assessment programs, informative indicators based on fisheries statistics and fishers’ behaviour are currently used (Freire and Garcı́a Allut, 2000). However, management decisions could be better supported by handling both sources of information, stock assessment and fisheries statistics. The objective of this paper is to propose a quick and simple methodology that can be applied to the study of goose barnacle populations; a methodology that takes the harvesterś knowledge into account and provides, in a sustainable way, essential information needed to manage the exploitation of the resource. barnacles, to compare it with the values found in previous years, and then relate it to the catches. In Galicia, both the harvesters and the market itself make a distinction between two large groups of goose barnacles on the basis of their morphology: elongated goose barnacles and standard goose barnacles (Figure 1). The former have a lower market value, and some attempts have been made to use alternative commercial methods, including canning. So, harvesters and managers are not interested only in knowing the abundance of the population as a whole, but also the abundances of each of the two typologies. Therefore, assessments must refer to both the population as a whole and to the stocks of elongated and standard goose barnacles separately. They must also allow for the application of techniques for the study of population dynamics. In addition, to give a wider characterization of the stock dynamic to improve the stock assessment, they must be able to report on the reproductive state and recruitment of the population (Haddon, 2011). Sampling design A sampling strategy that meets the requirements described above was designed (Figure 2). To evaluate its suitability, the strategy was implemented on the goose barnacle beds that were accessible from the coast and exploited by the Cofradı́as of A Guardia and Baiona, located in southwestern Galicia. (Figure 3). The sampling stations were organized on the basis of a stratified design in which each stratum included sections of the coast with homogeneous characteristics. In view of the relationship between the characteristics of the coast and the population parameters, (Borja et al., 2006a), the identification of the strata was based on the sections identified, on aerial photographs, by the local harvesters in a previous study conducted by Centro Tecnológico del Mar (CETMAR) (unpublished data) according to the commercial classification of the goose barnacles collected in each one. In this way, five strata (types of coast) were identified in keeping with the quality of the goose barnacle: very high, high, average, low, very low. According to their experience, harvesters based this classification on the general shape of goose barnacles. In the Cofradı́a of Baiona, the very high quality stratum could not be sampled owing to the impossibility of gaining safe access to the area during the study period (winter–spring of 2011). Methods Requirements The methodology proposed here considers that the collection and processing of the samples must be quick and simple and that these processes must be able to be carried out by a single person. However, due to safety reasons, working on the rocky coast requires the collaboration of another person for support. The data obtained must be able to estimate the abundance of goose Figure 1. Goose barnacle specimens having an elongated typology and a wrinkled peduncle (a), and standard specimens with a smooth peduncle (b). 1842 J. M Parada et al. Figure 2. Sampling design. Tasks in frames with rounded corners are developed in harvesters meetings. Tasks in regular frames are carried out at office. Tasks in shaded frames refer to field works. Dashed tasks have not been tackled in this paper. Figure 3. Goose barnacle beds in the fishers’ guilds cited in this study. Initially, a number of samples proportional to the relationship between the total length of each type of coast and the total length of the coast with the presence of goose barnacles were determined in each stratum. Nineteen stations (57 samples) were established in Baiona and 18 in A Guarda. However, data processing was carried out using the methodology pertaining to the optimized stratification design (Murray et al., 2006) in which the number of samples in each stratum is not proportional to the stratum size, but may increase in the strata with the greatest variance to improve the accuracy of the estimations (Krebs, 1998). In optimized stratification, it is necessary to know the proportion of the sampled surface area to the total surface area of each stratum. To estimate the area of each stratum, the sum of the lengths of each section of coast belonging to the stratum was multiplied by the mean width of the goose barnacle belt (Borja et al., 2006a). In each sampling station, samples were collected at three points at regular intervals along a line that went from the goose barnacle belt (between about 1 and 3 m above the MLW, depending on the exposure of the coast), in a transversal direction, to the intertidal strip. This allowed for the inclusion of any possible variability due to tidal level and, at the same time, for the analysis of the effect of this factor on the variables studied. Cracks and cavities were avoided during sample collection. Each sampling consisted of a photograph taken of an area measuring 50 × 50 cm and the collection of between 30 and 50 specimens, preferably from the same cluster within the area photographed. In cases where there were not enough specimens in the photographed square, samples were collected out of the square within the same tidal level. The photographs and specimens collected were processed in the lab. Once in the laboratory, a digital layer with a template of 100 regularly distributed points was superimposed on each photograph (Foster et al., 1991). In this way it was possible to calculate the coverage as an abundance index on the basis of the percentage of points in the template that contacted any goose barnacle. The specimens collected were separated from the clusters and then measured to determine their total height (TH) and capitulum base diameter (DBC) interpreted as the distance between the base of the rostrum and the apex of the subcarina (Figure 4). Although the size that best represents growth is 1843 Assessment of goose barnacle stocks in management plans Table 1. Capitulum base diameter – total height relationship data series used in the validation of the discrimination function of the two goose barnacle typologies elongated and standard. Fishers’ guild A Guarda A Guarda Corme Corme A Guarda, Baiona and Bueu Typology elongated standard elongated standard elongated ID AG_E AG_S CR_E CR_S CT_E n 80 80 38 47 808 ID ¼ Series identifier, n ¼ number of specimens. Series CT_E comes from a fisheries management study on the goose barnacle conducted by CETMAR and the fishers’ guilds of origin with data ranging from 2008 to 2010 (unpublished data). Figure 4. The most commonly used biometries in goose barnacle studies and capitulum plates used as a reference. TH ¼ total height, RC ¼ rostrum– carina distance, DBC ¼ capitulum base diameter, R ¼ rostrum, C ¼ carina, SC ¼ subcarina. the rostrum - carina distance (RC) length (Cruz, 1993), the DBC was adopted here since it is the size established by the Fishery Administration in Galicia to determine the minimum catch size. Moreover, the DBC is an unequivocal size and very little training is needed to be able to measure the specimen correctly (Parada et al., in press). DBC is also related to the diameter of the peduncle, which is, in turn, related to the commercial quality of the goose barnacle (Molares et al., 1987). Where needed for comparison with other research, the results of the DBC were converted to RC by means of the relationship described by Parada et al. (in press). RC = 1.0666 DBC − 2.2875 The DBC data were used to calculate the size structure with 1-mm size– class ranges and to differentiate between the stock of commercial and non-commercial-sized specimens. The DBC – TH relation was employed to differentiate between the specimens with an elongated typology from those having a standard typology, as detailed below, to meet the information needs of managers and harvesters alike (Lauzier, 1999). Therefore, total coverage in each station was corrected by the percentages of commercial and noncommercial specimens to be able to estimate the coverage of these categories by station: CC = TC · PC where CC represents commercial coverage, TC, total coverage, and PC, percentage of commercial specimens. At the same time, the total coverage of each station was corrected with the percentages of elongated and standard type individuals to estimate the coverage of each typology by station. Adult specimens were examined to determine their reproductive state (RS) and recruitment index (RI). The RS of each sample was defined as the percentage of adult specimens with ovisacs in the capitulum cavity (Molares, 1993). On the other hand, the RI was defined as the percentage of adult individuals with at least one recruit (DBC , 2.01 mm) recently attached by its peduncle. Adult individuals were considered to be those with a DBC equal to or greater than 13 mm (Parada et al. in press). Morphological definition of elongated and standard typologies The distinction between the two types of goose barnacles, elongated and standard, is based on the subjective interpretation of the harvesters when they select their catches to be sold. However, in the study of the stocks of these two typologies, it is necessary to use a procedure that will enable them to be differentiated on the basis of objective biometric parameters. According to the harvesters, elongated specimens have a longer and thinner peduncle that the standard type of goose barnacle in relation to capitulum size (Figure 1). The relationship between the DBC and TH of the three samples taken in one of the stations having the broadest size range was studied. The station was located in a zone called “As Maulas” (42806.166′ N 8853.909′ W), within the goose barnacle beds pertaining to the Cofradı́a of Baiona. The 339 specimens measured fresh were grouped into 5-mm size classes according to their DBC. On the basis of the mean TH of the five size classes obtained, the following type of sigmoid function was calculated P y = A1 + (A2 − A1 )/1 + x/x0 where A1, A2, x0 and p are constants. The function was used to mark the border between the elongated and standard typologies. In this way, specimens with a TH higher than the function corresponding to their DBC were considered elongated, while the rest of the specimens were classified as standard. The function was validated using three series of DBC/TH data obtained from 1053 goose barnacles previously classified as elongated or standard by harvesters belonging to four fishers’ guilds (Table 1). Parada et al. (in press) found that the DBC values did not vary after the frozen specimens were thawed, whereas the TH values did. For possible future applications of this curve using the samples that were frozen, a second curve was obtained for thawed individuals, fitting the former curve by using the same DBC data and correcting the values corresponding to the TH by means of function TH* ¼ 1.12 TH – 1.5719, where TH* is the TH of the thawed specimens and TH is the measurement of the fresh specimens (Parada et al., in press). Calculation procedure The mean, variance, and standard error of the total coverage of commercial and non-commercial size stocks and of the two typologies, elongated and standard, were calculated following the calculation procedure used for small samplings of contagious 1844 J. M Parada et al. Figure 5. Data collected and type of results obtained in each sampling (frames with rounded corners). The shaded squares indicate the type of estimation made in each stratum. distributed populations (Elliot, 1977). The size structure for each stratum was obtained by applying the same procedure to each size class, but based on the mean and variance of the percentage of the same size class in all the samplings weighted with the total coverage. The weighted mean with coverage was estimated as follows: M= n i=1 n mi Ci / i=1 Ci where M is the weighted mean of the percentage of specimens in a size class, n is the number of samplings, mi is the percentage of specimens in this size class in sampling i, and Ci is the total coverage in sampling i. The variance estimator (Var) used for the weighted mean was the one put forth by Thompson (1992): Var = n i=1 Ci (mi − M )2 /(n − 1) n i=1 Calculations were performed with the ARouSA application, available at http://sites.google.com/site/arousa09. Figure 5 presents a diagram of the different data processing approaches and the type of results yielded. The methodology was validated by applying the Chi-square test to assess the relationship between the percentage of elongated-type goose barnacles and total coverage with coast types and tidal level. The identification of cohorts was carried out by means of the program FISAT. Moreover, in the case of the Cofradı́a of A Guarda, where data have been available since 2004, the estimations of coverage were related to the catches obtained one and two years after each evaluation. This relationship was established by applying the log function used by the technical experts at the fishers’ guilds to draft the exploitation plans of marine resources (Parada & Molares, 2012): Ci The mean and variance of the RS and RI for each stratum were computed according to the same weighting procedure used with coverage. Arcsine transformation was previously applied to all percentage data (Krebs, 1998). The values corresponding to each of the two exploitation areas studied in their entirety (A Guardia and Baiona) were calculated on the basis of the results obtained for each stratum (coast with goose barnacles classified into categories of very high, high, average, low and very low) following the calculation procedure for stratified samplings described by Krebs (1998). All calculations were carried out for the total stock and the two typologies, elongated and standard, as well as for the entire coast and each of the three tidal levels sampled. y = bLn(x) + a where a and b are constants, y represents the catches, and x the abundance indicator estimated in the samplings, in this case, total coverage. Results Definition of standard and elongated typologies The sigmoid function used as a threshold separating the two typologies, elongated and standard, (Figure 6a) corresponded to the following function: y = 62.3122 + (11.4815 − 62.3122)/(1 + (x/12.216)2.8009 ) 1845 Assessment of goose barnacle stocks in management plans Table 2. Percentage of specimens in each size class that maintained the typology identified by the harvesters after the application of the discrimination function. DBC [4, 6) [6, 8) [8, 10) [10, 12) [12, 14) [14, 16) [16, 18) [18, 20) [20, 22) [22, 24) [24, 26) %E 59.2 68.6 74.8 72 77.8 93.8 100 100 100 – – %S – 100 – 100 100 100 79.4 86 84.6 100 100 DBC ¼ Capitulum base diameter, %E ¼ percentage of elongated specimens that kept the elongated classification, %S ¼ percentage of standard specimens that retained the standard classification. classification with that of the harvesters. In the 4 –6 mm DBC size class, this percentage was only 59.2% (Table 2). Stock assessment and analysis Figure 6. Fit of the sigmoid curve separating the elongated and standard typologies (a). Validation of the curve with data from the goose barnacles identified as elongated and standard in A Guarda and Corme (b), and with data from goose barnacles considered to be elongated by the harvesters from the Cofradı́as of A Guarda, Baiona and Bueu, taken from the study conducted by CETMAR (unpublished data) (c). See series identifier in Table 1. where y is the TH above which the specimens having a specific DBC (x) are considered to be of the elongated type. In the case of thawed goose barnacles, the curve corresponded to the following function: y = 67.8055 + (10.9002 − 67.8055)/(1 + (x/12.216)2.8008 ). After applying the sigmoid function to the DBC values, most of the specimens were classified into the same typology as designated by the harvesters (Figure 6b and c). In six out of the nine size classes with data, all of the specimens identified as standard by the harvesters were recognized as standard by the sigmoid function. In the remaining three size classes, identification coincided in over 79% of the specimens. In the case of the elongated specimens, over 90% having a DBC greater than 13.99 mm were found to belong to this category. However, the smaller in size the specimens were, the fewer number of specimens coincided in The proposed methodology allowed taking data in 3 –4 stations (9–12 samples) per day, including the localization and identification of each station. Based on this methodology, it was possible to estimate the coverage and percentage of elongated specimens in the population as a whole including both commercial and noncommercial specimens. The sampling design was able to yield this information as well as data related to the RI and RS indices for both the entire goose barnacle belt and the tidal levels from which the samples were collected. Although these results were obtained for each type of coast (stratum), table 3 shows the findings for the entire coast (stratified analysis) in A Guarda. The size structures for the total population and for the two typologies of goose barnacle were also obtained (Figure 7). The mean goose barnacle percentage coverage in A Guarda was 15%, while the coverage of standard type commercial size specimens was only 1.2%. The coverage of the elongated type specimens accounted for 17.6% of the population. However, the percentage of specimens belonging to the elongated typology in all of the strata sampled in the Cofradı́a of Baiona reached a mean value of 31.6%. A Chi-square test of independence revealed that the percentage of elongated individuals was not homogeneous (p ¼ 0.045) between the two fishers’ guilds. Although the highest percentages of elongated type specimens seem to be associated with the goose barnacle beds of Baiona, it must also be considered that in this fishers’ guild, the high-quality stratum was not sampled (Table 4). The results of the Cofradı́a of A Guardia suggest that the percentage of elongated type specimens is greater, the lower the tidal level. However, a Chi-square test of independence indicated that no significant link exists (p ¼ 0.089 in A Guarda, and p ¼ 0.487 in Baiona) between the percentage of elongated type goose barnacles and the tidal level in either of the fishers’ guilds (Table 4). In contrast, a significant relationship (p ¼ 0.008 in A Guarda, and p ¼ 1.80E-06 in Baiona) was found in the two beds between the percentage of elongated goose barnacles and the type of coast. The elongated goose barnacles were associated with coasts having low and very low qualities of goose barnacle, 1846 J. M Parada et al. Table 3. Results of mean coverage, percentage of elongated type goose barnacles, recruitment index (RI) and reproductive state (RS) on the coast as a whole and in the three tidal levels of A Guarda. Total coverage Coverage standard type Coverage elongated type % elongated RI RS Non- commercial 13.6 (1.7) 11.1 (1.3) 2.6 (0.3) 17.7 (0.2) – – Commercial 1.4 (0) 1.2 (0) 0.2 (0) 10.2 (0.1) – – Total 15.0 (1.9) 12.2 (1.4) 2.8 (0.3) 17.6 (0.2) – – >12.99 mm – – – – 16.8 (0.4) 39.8 (0.3) In addition to the mean values, the variance is given in parenthesis. Figure 7. Size structure of total population and both typologies of goose barnacles in A Guarda. The dotted line indicates the minimum commercial size. whereas the standard types were associated with coasts having mean, high and very high quality goose barnacles. The total population coverage was homogeneous (p ¼ 0.412) when the beds from the two areas were compared. In both A Guardia and Baiona, the coverage may be considered similar in the three tidal levels (p ¼ 0.916 in A Guarda, and p ¼ 0.956 in Baiona) as well as on the different types of coast (p ¼ 0.098 in A Guarda, and p ¼ 0.132 in Baiona) (Table 5). The size structures obtained were successfully used to identify year classes. In the beds pertaining to the Cofradı́a of Baiona two age groups were identified: one with a mean size (DBC) of 6.88 mm (SD ¼ 2.17) (corresponding to an RC of 4.97 mm) and the other with a mean size of 14.55 mm (SD ¼ 2.85) (RC ¼ 13.23 mm). The former accounted for 26% of the total population and the latter 74%. The size structure of the total population of A Guardia allowed for the identification of two-year classes with mean sizes of 4.86 mm (SD ¼ 1.51) (RC ¼ 2.90 mm) and 12.03 mm (SD ¼ 3.19) (RC ¼ 10.54 mm). The former comprised 32% of the population and the latter, 68% (Figure 8). The mean sizes of the year classes from Baiona corresponded to an RC of 4.97 and 13.23 mm. The estimations of total coverage in A Guardia did not exhibit a good fit with catch per person and day for the year following the samplings (r 2 ¼ 0.143). They were, however, coherent (r 2 ¼ 0.895) when compared to the catch data two years after the estimation (Figure 9). Discussion To carry out a technical assessment of the exploitation of marine resources it is necessary to have a wealth of data on the biology of the species and the status of the stocks (Caddy and Defeo, 2003). However, in many cases, sufficient resources are not available to manage the large extent of the beds and number of species. Methodologies used by research groups focusing on very specific goals are not always directly applicable to this field, which is more interested in monitoring populations on a middle- or longterm basis, with broader objectives and less time to obtain results. However, different measures implemented by management, such as the rotation of exploitation areas, extraction dates in keeping with market demand, and the possibility of selecting catch quality depending on the end market, make it absolutely essential for assessors to know not only the general stock status, but also the status of specific categories related to this stock. The technique used to estimate coverage based on photographs taken in the field and later processed in the lab is quick, simple, and non-destructive. The speed with which data are recorded is essential when working in the rocky intertidal zones of wave-exposed coasts (Murray et al., 2006). Several authors have tried different methods which, while maintaining accuracy, reduce the amount of time sample collectors must remain on the rocky coast to collect the data from each sampling point. “Vertical point quadrant” (Johnston, 1957), also named as “point contact procedure” (Murray et al., 2006), has been the most-used method for decades. This sampling method provides the most consistent results and it is the most appropriate for the study of sessile organisms living in the rocky intertidal zone. Foster et al. (1991) applied photography to the point intercept technique. These authors pointed out the disadvantages of making calculations based on photographs rather than calculation in the field with regard to species identification in synecological studies. This, however, would not be applicable when working with a single, easily identifiable species. On the other hand, they underlined the great advantages of achieving higher accuracy based on the possibility of using a larger number of points when working from a photograph. They also pointed out that for calculation, more time is spent in the lab than on the rocky coast. The most commonly used technique to calculate the abundance or biomass indices of the goose barnacle is to remove the barnacles from a known surface area by scraping. Borja et al. (2006a) and de la Hoz and Garcı́a (1993) scraped areas measuring 30 × 30 cm and 25 × 80 cm, respectively. In our opinion, however, the application of this technique on the exposed rocky coast is very difficult and very time-consuming. Another complex aspect of the study of the communities living on the rocky coast is the estimation of the area occupied by the population under study (Murray et al., 2006). This is even more critical when attempting to carry out stock assessments to extrapolate the biomass or individuals per unit area to absolute terms such as number of individuals or total biomass available. The use of coverage as a relative abundance index avoids this problem, but the application of optimized stratification requires that the 1847 Assessment of goose barnacle stocks in management plans Table 4. Results of the Chi-square test of independence to find associations between goose barnacle typologies, coast types and tidal levels. Fishers’ guild A Guarda Baiona A Guarda A Guarda A Guarda Baiona Baiona Baiona A Guarda A Guarda A Guarda A Guarda A Guarda Baiona Baiona Baiona Baiona Type of coast all all all all all all all all very low low average high very high very low low average high Tidal level all all high average low high average low all all all all all all all all all Mean % Elongated 17.6 31.6 12.0 14.6 24.1 26.6 35.9 29.8 20.0 24.7 14.6 5.5 12.7 41.8 44.9 27.8 7.0 Associated typology standard elongated – – – – – – elongated elongated standard standard standard elongated elongated standard standard Chi 2 – 4.02 – – 4.85 – – 1.44 – – – – 13.76 – – – 29.45 p – 0.045* – – 0.089 n.s. – – 0.487 n.s. – – – – 0.008** – – – 1.80E – 06** When the associations were significant (*) or highly significant (**) the typology related to each case was indicated. p ¼ probability of the Chi-square test; n.s. ¼ non-significant associations at a confidence level of 95%. The Yates correction was applied where necessary. Table 5. Results of the Chi-square test of independence to find associations between total coverage, coast types and tidal levels. Fishers’ guild A Guarda Baiona A Guarda A Guarda A Guarda Baiona Baiona Baiona A Guarda A Guarda A Guarda A Guarda A Guarda Baiona Baiona Baiona Baiona Type of coast all all all all all all all all very low low average high very high very low low average high Tidal level all all high average low high average low all all all all all all all all all Mean % Coverage 15.0 19.9 14.3 16.4 14.5 20.1 20.7 18.8 15.9 22.7 15.0 9.0 10.6 21.7 19.3 23.5 10.2 Chi 2 – 0.67 – – 0.17 – – 0.1 – – – – 7.8 – – – 5.61 p – 0.412 – – 0.916 – – 0.956 – – – – 0.098 – – – 0.132 n.s. n.s. n.s. n.s. n.s. p ¼ probability of the Chi-square test, n.s. ¼ non-significant association at a confidence level of 95%. The Yates correction was applied where necessary. sampled area be related to the total surface area (Krebs, 1998). In order to simplify the calculation of the rocky coast area by simply multiplying the length of the coast by the width of the goose barnacle belt, as suggested in this paper and in others (Borja et al., 2006a), it is necessary to ignore the great heterogeneity of this medium and consider it to be flat. Due to this simplification, added to the fact that areas with cracks and cavities were not included in the sampling, it is impossible to use the biomass estimations as absolute values since they always underestimate the real biomass. They do, however, offer the possibility of being used as relative values, which is very useful in comparative analyses and monitoring the historical series. The adoption of an objective method to distinguish between elongated and standard type specimens allows the technical Figure 8. Identification of the cohorts based on the size structure of total stocks in Baiona and A Guarda. experts to apply specific monitoring procedures for each one. Although the application of the function of typology designation is biased in the smaller-sized specimens, the results for adults are very similar to those obtained subjectively by harvesters. In any case, the results obtained with this function are acceptable, since even the harvesters find it hard to differentiate between the two typologies in juvenile specimens. In any event, the greatest importance of these curves lies in their ability to objectively distinguish the elongated typology from among the marketable specimens, i.e. the largest sized individuals. The use of the types of coast in terms of quality as a stratification criterion proved to be suitable since the results showed that the typologies are related to coast type (Table 4). Borja et al. (2006b) did not find any significant correlations between total goose barnacle length and the degree of wave exposure. This could indicate that the morphology of the goose barnacle, and therefore its commercial quality (Molares et al., 1987), do not depend exclusively on the degree of wave exposure. Cruz (1993) reported other possible factors such as light and availability of food, but these aspects have not yet been 1848 Figure 9. Fit of the total coverage estimated for catches per person and day: 1 year (white squares and dash line) and 2 years (black circles and solid line) after the estimation. Coverage data from 2004, 2005, 2006, 2008, 2009, and 2010 in A Guarda. studied. The association between the elongated typology and the coasts with very low and low quality goose barnacles shows the coherence of the results and validates the methodology used. Hence, the harvesters’ knowledge of the classification of the different stretches of coast is a valuable asset when designing sampling programs. The lack of association between goose barnacle typologies and tidal level (Table 4) is in keeping with the absence of significant correlations between the total length of goose barnacles and the tidal level described by Borja et al. (2006b). However, the tidal level is, in fact, related to aspects such as growth and recruitment (Cruz et al., 2010). Therefore it would be of interest for the sampling design to include a function that would allow the results to be differentiated between different tidal levels. Moreover, the availability of the samples in terms of tidal levels will make the information obtained more useful to the organization dedicated to the exploitation of this resource. Most sedentary benthic invertebrates, such as goose barnacles, are structured as metapopulations. Each local population is replenished by the pool of larvae from one or more local populations, depending on the degree of connectivity and dispersal distance. In general, these local populations present high variability in their stock-recruitment relationship, whether they act as “source” or “sinks” (Shepherd and Brown, 1993). The RS and the RI are used to characterize the population in one of these two types. In a source population, the annual recruitment occurs at high density every year. In a sink population, new age classes are recruited only in occasionally good years. The exploitation rate should be different if the population acts as a source or sink. The proposed methodology allows a quick knowledge of these aspects to be incorporated into the management decisions. Coverage results like the ones presented in Table 3 in terms of the two typologies and three tidal levels for each type of coast offer invaluable information for the application of management tools such as the rotation of harvesting zones. Although the lack of association between coverage and tidal level or coast type (Table 5) may appear to contradict the results reported in other works (Borja et al., 2006b), this would be expected, taking into account that the zones studied here are subject to intense exploitation. The higher percentage of elongated specimens found in Baiona might be related to some defect in the typology distinction curve of juveniles. However, the size frequencies showed that the percentage of individuals measuring less than 13 mm was greater in A J. M Parada et al. Guarda than in Baiona, so that, in any case, the typology distinction model would favor the designation of more elongated specimens in A Guarda than in Baiona. On the other hand, given the association between the very high quality type coast and a lower percentage of elongated specimens, these results will probably change when samples from this type of coast are available from the Cofradı́a of Baiona. The size structures obtained after weighting with coverage (Figure 8) have made it possible to identify year classes. The mean size of year classes identified in Baiona (4.97 and 13.23 mm RC) resemble the age group between 0 and 1 year (5–12.5 y, 12.5– 20.5 mm, respectively) used by Jacinto et al. (2011), and they are in agreement with the mean sizes reported by Cruz et al. (2010) 3 and 12 months after scraping (4.6 and 15.7 mm, respectively). However the mean sizes in A Guarda (2.90 and 10.54 mm RC) were slightly lower. Nevertheless, the sole purpose of the results obtained here is to validate the sampling methodology. For the definitive identification of year classes, several histograms, done consecutively, will be needed. The coverage presented a better relationship with the catches recorded two years after the assessment than with those obtained one year later (Figure 9). This would seem logical, if we consider that, according to the data of Cruz et al. (2010), this species would reach a commercial size of 15 mm DBC (13.7 RC) in the second year (year class I). Given the fact that the harvesters work more often during a particular tidal level than others, it can be assumed that with the availability of coverage data specific to the different tidal levels, the relationship between the coverage of a particular level and catches will have a better fit. Our results show that the use of coverage as an abundance index and weighting factor, combined with the advantages of stratification and the removal of some specimens to obtain biometric information, is in keeping with the catches and knowledge on the goose barnacle population provided by the harvesters. Perhaps stock assessment is not the best way of assessing S-fisheries, but it is better to use catch data to develop informative indicators of the state of the fishery (Freire and Garcı́a-Allut, 2000). Stock population data could be useful as a complementary method when fisheries statistics are high quality. However, to obtain catch data is not always possible, or the quality of yield information is not adequate. In those cases, stock assessment is a good alternative method. The sampling methodology described in this paper proposes a quick and simple method for stock data collection. In addition, the data processing method yielded evaluations of the stock for specific zones and tidal levels. This procedure allows managers to estimate relative values of abundance and commercial biomass. Handling long time series data, the absolute value could be estimated by non-linear regression, but the relative value for comparing different zones or different years is the true power of this tool. By applying this procedure before the harvesting period, managers could easily design rotating harvest schemes with seasonal closures or closed areas. Acknowledgements L. Garcı́a, M. 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