1 Growth and age structure of sea urchins (Heliocidaris erythrogramma) in complex barrens and native macroalgal beds in eastern Tasmania Hugh G. Pederson and Craig R. Johnson Pederson, H. G., and Johnson, C. R. 2008. Growth and age structure of sea urchins (Heliocidaris erythrogramma) in complex barrens and native macroalgal beds in eastern Tasmania. – ICES Journal of Marine Science, 65: 1– 11. The formation of small-scale barrens of sea urchins on the east coast of Tasmania allows for direct comparison of the growth rates and age structures of sea urchin populations in barrens and habitats dominated by native macroalgae. However, such barrens are atypical of any previously described in temperate regions worldwide mainly because of the establishment and seasonal colonization by the introduced macroalga Undaria pinnatifida. Growth models were fitted to sea urchin (Heliocidaris erythrogramma) data, based on tag-recapture information from two distinct community types, a native macroalgal bed and a sea urchin barren colonized by U. pinnatifida. Despite the distinct contrast in habitats, size-at-age relationships and age frequency distributions were not significantly different between the two populations. However, the relationship between jaw length and test diameters was significantly different between populations, sea urchins in barrens possessing larger jaws relative to conspecifics of similar test diameter in native macroalgal habitats. It is proposed that the growth of sea urchins on barrens is not adversely affected by the loss of native macroalgae in the presence of U. pinnatifida. However, sea urchins display a level of resource limitation in barrens because of differences in the relationships of sea urchin morphometrics. Keywords: age structure, barrens habitat, growth, Heliocidaris erythrogramma, size structure, Undaria pinnatifida. Received 15 December 2006; accepted 19 October 2007; advance access publication 20 November 2007. H. G. Pederson and C. R. Johnson: School of Zoology, Tasmanian Aquaculture and Fisheries Institute, University of Tasmania, GPO Box 252-05, Hobart, Tasmania 7001, Australia. Correspondence to H. G. Pederson: Present address: Marine Research Laboratories, Tasmanian Aquaculture and Fisheries Institute, University of Tasmania, Private Bay 49, Hobart, Tasmania 7001, Australia; tel: þ61 3 62277276; fax: þ61 3 62278035; e-mail: [email protected] Introduction Sea urchins are conspicuous herbivores of temperate marine ecosystems worldwide (Lawrence, 1975) and can alter the structure of subtidal communities through overgrazing (North and Pearse, 1970; Wharton and Mann, 1981; Choat and Schiel, 1982; Fletcher, 1987; Shears and Babcock, 2002; Wright et al., 2005). Sea urchin overgrazing is associated with the transition of macroalgal-dominated reef habitats to barrens, and such a change results in a 100-fold decrease in primary production (Chapman, 1981). Unlike other sessile benthic invertebrates, sea urchins can persist at high population density when resources are limited owing to their plastic allocation of resources (Johnson and Mann, 1982). The growth of many sea urchin species (Ebert, 1982; Gage, 1991, 1992; Sanderson et al., 1996; Minor and Scheibling, 1997; Ebert et al., 1999; Lamare and Mladenov, 2000) and the influence of resource availability on sea urchin growth and morphometrics has been well documented (Ebert, 1980b; Black et al., 1982; Edwards and Ebert, 1991; McShane and Anderson, 1997). However, despite this wealth of information, few studies have examined how sea urchin growth rates vary between particular habitat types (Rowley, 1990; McShane and Anderson, 1997; # 2007 Russell, 2000), more specifically between established macroalgal beds and adjacent barrens habitats devoid of erect macroalgae. The application of tag-recapture methods to study the growth of sea urchins is relatively common, most studies utilizing chemical tagging techniques (Kobayashi and Taki, 1969; Pearse and Pearse, 1975; Ebert, 1977; Rowley, 1990; Gage, 1992; Kenner, 1992; McShane and Anderson, 1997; Lamare and Mladenov, 2000). Tetracycline labelling of sea urchin skeletons has proven to be an effective method to follow growth of individuals, in some instances over several years (Gage, 1992; Lamare and Mladenov, 2000). However, variability in recovery rates (10 – 50%) can require a substantial tagging effort to gain sufficient data to construct precise size-at-age relationships. Despite the time required between tagging and recapture (annual increments), and the number of individuals to be tagged, the method can produce accurate and precise results from relatively few recaptured animals. Growth functions such as the generalized Richards function (Richards, 1959) have been fitted to tag-recapture data to produce size-at-age relationships. Constructing size-at-age relationships and ageing individuals using techniques that rely on counting natural growth lines in the jaws and test plates of sea urchins have also been examined (Sumich and McCauley, International Council for the Exploration of the Sea. Published by Oxford Journals. All rights reserved. For Permissions, please email: [email protected] 2 1973; Walker, 1981; Sime, 1982; Gage and Tyler, 1985; Turon et al., 1995; Sellem et al., 2000). Although natural line counts are rapid and require fewer animals than tag-recapture methods, the technique is seldom accurate without validating the rate at which growth lines are deposited (reviewed by Russell and Meredith, 2000). The temperate sea urchin Heliocidaris erythrogramma is endemic to southeastern Australia, with a distribution from southern Western Australia to the central coast of New South Wales and around Tasmania (Endean, 1957; Dix, 1977a). It is a conspicuous herbivore in the shallow subtidal zone in New South Wales (Underwood et al., 1991), and is found in moderate abundance in sheltered subtidal rocky reef habitats between 10 and 40 m deep in eastern Tasmania (Dix, 1977b; Edgar, 2000), where it is the dominant invertebrate herbivore (Sanderson et al., 1996). Its individual growth and its population size structure have been previously examined in different parts of its distribution (Ebert, 1982; Sanderson et al., 1996). Within Mercury Passage on Tasmania’s east coast, H. erythrogramma has formed patchy barrens devoid of native macroalgae in subtidal reef habitats over spatial scales of 101 –103 m. However, the barrens are atypical, because the average density of sea urchins is relatively low (7 m22; Johnson et al., 2004) compared with those in other temperate regions (.50 m22; North and Pearse, 1970; Estes and Palmisano, 1974; Wharton and Mann, 1981; Gagnon et al., 2004), and they are seasonally colonized by the introduced macroalgae Undaria pinnatifida (Valentine and Johnson, 2003; Johnson et al., 2004). This pattern provides a unique opportunity to compare sea urchin growth and population age structures in atypical barrens, with a seasonal influx of U. pinnatifida, and adjacent habitats supporting native macroalgae with lower densities of sea urchins. Here, we construct size-at-age relationships for H. erythrogramma using tag-recapture data over a 2-year period, and use the information to examine differences in sea urchin growth in distinct habitat types. We examine sea urchin morphometrics from populations in contrasting habitats for evidence of resourcelimited growth and construct age frequency distributions using size-at-age relationships to examine differences in age structures between sea urchin populations. Methods Populations of H. erythrogramma were chemically tagged during January and February 1999 at two sites in Mercury Passage on Tasmania’s east coast (Figure 1). The sites were located on rocky reefs and chosen on the basis of their similar topography and their exposure to prevailing weather and currents, but they were distinguished from each other by the abundance of macroalgae. The site at Lords Bluff was located on the most extensive sea urchin “barren” within Mercury Passage, one subject to seasonal growth of the introduced macroalgae U. pinnatifida (Valentine and Johnson, 2003) where the average sea urchin density was ca. 7 m22. Sea urchins were in lesser abundance at Four Mile Point (ca. 3 m22), where the reef supported a dense cover of native canopy-forming macroalgae, unaffected by sea urchin overgrazing, and characteristic of rocky reefs in southeast Tasmania (Edgar, 1984). Although sites were not replicated within each habitat type, they were considered to be representative of the extremes in community structure found in Mercury Passage. Approximately 400 sea urchins were tagged at each of the two sites by divers removing all sea urchins from an experimental plot H. G. Pederson and C. R. Johnson Figure 1. Location of sea urchin populations sampled within Mercury Passage on the east coast of Tasmania. Sea urchins were tagged using tetracycline in a native macroalgal bed at Four Mile Point (FMP), and on urchin barrens at Lords Bluff (LB). Size frequency distributions were determined for non-tagged sea urchin populations on urchin barrens and in adjacent macroalgal beds at LB (LB-NT) and Stapleton Point (SP-NT). located on the 5-m contour. The experimental plot measured 10 m 6 m at Lords Bluff and 10 m 12 m at Four Mile Point. Although the experimental plots yielded a range of sea urchin sizes, small animals in their first year of life occupied cryptic habitat and were rarely sampled. Test dimensions of each sea urchin were measured to the nearest millimetre using knife-edge vernier callipers before injecting them with a solution of tetracycline hydrochloride (Kobayashi and Taki, 1969) at a concentration of 10 g l21 in seawater, using a small-gauge hypodermic needle (adapted from Ebert, 1977). To ensure that all sea urchins received a standard dose of the tetracycline solution (0.006 ml g wet weight21), test diameter (D) measurements were used to estimate wet body weight (W ) from a pre-determined function (W ¼ 3.49D – 154.14; n ¼ 40, r 2 ¼ 0.93). Tagged sea urchins were returned to experimental plots soon after receiving injections. Mortality from handling was assessed 72 h post-tagging by searching experimental plots for fresh mortalities, and was estimated to be ,5% of tagged animals. Experimental plots were sampled three times between February 1999 and February 2001 (12, 14, and 24 months post-tagging). Approximately one-quarter of the number of sea urchins originally tagged were recaptured after 12 and 14 months of growth (Table 1), with approximately half the original number of tagged sea urchins left in the plots to complete 24 months of growth posttagging. The recaptured sea urchins were selected to represent the Growth and age structure of sea urchins in eastern Tasmania 3 Table 1. Recovery of tagged sea urchins across the three sampling periods (12, 14, and 24 months post-tagging) from two sites within Mercury Passage. Relative Number of Number of Number of sea urchins sea urchins positive tag recovery rate (%) returns collected tagged Four Mile Point ............................................................................................................................... 0 355 – – – . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . 12 – 83 71 86 . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . 14 – 72 65 90 . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . 24 – 230 57 24 . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . Overall – – – 54 recovery Month Lords Bluff ............................................................................................................................... 0 431 – – – . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . 12 – 115 71 62 . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . 14 – 98 65 66 . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . 24 – 288 92 32 . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . Overall – – – 53 recovery Positive tag returns were animals with clear tetracycline bands present on the surface of their jaws (Figure 2). Figure 2. Heliocidaris erythrogramma jaw under ultraviolet illumination with the tetracycline tag (1), epiphysis junction (2), external edge (3), and oral tip (4) identified. Growth increments (DJ) were measured to the nearest 0.05 mm from the point where the tetracycline tag met the external edge to the epiphysis junction of jaws using a dissecting microscope with an optical micrometer under 20 magnification. Jaw length at the time of sampling (JtþDt) was measured to the nearest 0.05 mm using knife-edge vernier callipers, and jaw length at the time of tagging (Jt) was calculated by subtracting the growth increment from JtþDt. range of sizes present, and were frozen before dissection in the laboratory. On the final sampling in early February 2001, all remaining sea urchins were removed from the plots and from within a 1-m band around the plots. The test diameter of each sea urchin was measured before dissection. On dissection, half of the test and the entire Aristotle’s lantern were placed into a solution of 5% sodium hypochlorite. The calcified material remaining after 24 h was rinsed thoroughly with fresh water before being air-dried for 48 h. Demipyramids (hereafter referred to as jaws) and test plates from the prepared samples were exposed to ultraviolet light and examined for the presence of the tetracycline tag (Figure 2). A small sample of sea urchins (n ¼ 30) was collected from areas adjacent to each of the experimental sites during February 2000 and prepared for ultraviolet examination. These samples were controls for the presence of background auto-fluorescence in jaws and test plates. Of the 90 control sea urchins collected, none showed any sign of fluorescence in either test plates or jaws. We interpret the absence of background fluorescence to indicate that the marks detected in experimental animals are a result of the tagging process and not environmental contamination. The growth increment (DJ) was measured on one-half of a jaw from each animal displaying a visible tag from the point where the fluorescent band met the external edge to the epiphysis junction (Figure 2). Measurements were taken using an ocular micrometer under 20 magnification on a stereo dissecting microscope with an accuracy of 0.05 mm. Jaw length at the time of sampling (JtþDt) was measured from the oral tip to the epiphysis junction to the nearest 0.05 mm using knife-edge vernier callipers, and jaw length at the time of tagging (Jt) was calculated by subtracting the growth increment from the length of the jaw at the time of sampling (JtþDt 2DJ). Growth measurements were taken from the jaws because the tetracycline marks there were more often clearly visible and easier to read than on test plates, and a large proportion of animals displayed readable tags on jaws but had no corresponding marks on test fragments. Growth at the oral tip of jaws was not observed in our samples except in some smaller sea urchins where a fluorescent mark was visible but growth could not be measured accurately. Growth parameters of tagged populations were estimated by fitting the generalized Richards function (Ebert, 1999) to data obtained from the individuals recovered 12, 14, and 24 months after tagging. The use of the Richards function for the construction of growth models was based on the shape of the plot of jaw length at the time of sampling (JtþDt) and dependent on jaw length at the time of tagging (Jt; Walford, 1946; Ebert, 2001). The linear nature of the relationship between JtþDt as a function of Jt suggests that the generalized Richards function is appropriate to describe growth in H. erythrogramma (Figure 3). The Richards function can be written as Jt ¼ J1 (12be2kt)2n’, where Jt is jaw length at time t, J1 the asymptotic jaw length (when t!1), k the growth rate constant, b is (J1 –J0)/J1, where J0 is the jaw length at recruitment to the population, and n’ describes a shape parameter. When fitting this function to data collected from several different time þ(J 21/n’ – intervals, it can be rewritten as JtþDt ¼ [J21/n’ t 1 2kDt 2n’ 21/n’) Jt (1–e )] , where JtþDt is the jaw length after a period of time (Dt) has passed (Ebert, 1999). Optimum fits were determined by minimizing weighted squared differences between the observed growth increments (DJ) and the expected growth increments (weighted using JtþDt/J̄tþDt, where J̄tþDt is the mean jaw length at the time of sampling). Weighting the observed growth increments was required to stabilize variance, and to meet the assumption of homogeneity of variance in calculating the F-statistic, when comparing growth trajectories using an analysis of residual sums of squares (Haddon, 2001). When fitting growth models to tag-recapture data, where most data involve large animals, estimating size at recruitment to the population (i.e. J0) is important to anchor the size-at-age relationship. In the absence of this estimate, fitted growth models are likely to return inaccurate estimates of size-at-age for juveniles. Because recently settled juveniles are cryptic and hidden deep within 4 H. G. Pederson and C. R. Johnson Figure 3. Jaw length at the time of sampling (JtþDt) as a function of jaw length at time of tagging (Jt) for sea urchins collected 12, 14, and 24 months after tetracycline tagging. Solid lines represent linear relationships between JtþDt and Jt for Four Mile Point (12 months, JtþDt ¼ 0.89Jt þ 1.74, r 2 ¼ 0.99, n ¼ 71; 14 months, JtþDt ¼ 0.83Jt þ 2.73, r 2 ¼ 0.97, n ¼ 65; 24 months, JtþDt ¼ 0.86Jt þ 2.22, r 2 ¼ 0.98, n ¼ 57) and Lords Bluff (12 months, JtþDt ¼ 0.89Jt þ 1.92, r 2 ¼ 0.98, n ¼ 71; 14 months, JtþDt ¼ 0.83Jt þ 2.79, r 2 ¼ 0.98, n ¼ 65; 24 months, JtþDt ¼ 0.87Jt þ 2.16, r 2 ¼ 0.98, n ¼ 92). Dashed lines represent zero growth between the time of tagging and the time at sampling. crevices, our samples did not include these animals. Instead, we estimated jaw size at settlement (J0) from sea urchins (n ¼ 24) recruited to artificial collectors deployed in November 2000 and sampled each month until May 2001 to ensure detection of recent settlement (this period covered the adult spawning period; Sanderson et al., 1996). The collectors were 15 cm15 cm sections of artificial turf secured to concrete blocks of similar dimension placed at Lords Bluff. Artificial turf has been used successfully for this purpose (Lambert and Harris, 2000). Juvenile sea urchins were located on the collectors 6 months after initial deployment. The test diameter of individuals was measured to the nearest 0.05 mm using an ocular micrometer before dissection. Sea urchins were identified as H. erythrogramma using the pore structure of the interior surface of test plates (Baker, 1982). Following dissection, jaw length was measured using an ocular micrometer to the nearest 0.05 mm, with the jaw length at the time of recruitment to the population (J0) estimated to be 0.47 mm (+s.e. 0.046) with corresponding test diameters of 1.26 mm (+s.e. 0.10). By fitting the Richards function to growth increment data obtained from sea urchins at each of the tagging sites, estimates of size at a given age post-recruitment can be calculated from the size-at-age relationships. The age of sea urchins was calculated from the jaw length at the time of sampling using the relationship for size-at-age. Age frequency distributions for the tagged populations were constructed from all individuals collected at each site, using jaw length to determine the age. Growth morphometrics in the two tagged populations were also compared by examining the relationships between jaw length and test diameter at the time of sampling. Differences in the relationship between jaw length and test diameter between the populations were examined with analysis of covariance (ANCOVA), using habitat type as the covariate. Sea urchin barrens within Mercury Passage appear as patches at scales of 101 –103 m and often situated alongside undisturbed native macroalgal beds. The close proximity of sea urchin barrens to undisturbed stands of native macroalgae on reefs with similar rock type, topographic relief, and exposure to prevailing weather allows for direct comparison of sea urchin populations in habitats with contrasting food resources. We collected size frequency information from non-tagged populations of H. erythrogramma in barrens and adjacent macroalgal beds at two locations, Lords Bluff and Stapleton Point, within Mercury Passage (Figure 1). In the absence of tag-recapture information for each separate non-tagged population, we converted size frequency distributions (test diameter) to age frequency distributions using the size-at-age relationships constructed from tagged populations described earlier. We used the size-at-age function derived for tagged sea urchins in the native macroalgal bed at Four Mile Point to construct age frequency distributions for the non-tagged populations in similar native macroalgal beds at Lords Bluff and Stapleton Point. Similarly, the size-at-age function derived for the tagged population on barrens habitat at Lords Bluff was used to construct age frequency distributions for the non-tagged populations in barrens habitat at each of the two locations. Using the size-at-age functions from tagged populations to construct age frequency distributions of non-tagged populations assumes similar growth rates of sea urchins across the sites within each habitat category. 5 Growth and age structure of sea urchins in eastern Tasmania To estimate age structures of non-tagged sea urchin populations, i.e. for populations where only test diameter measurements could be taken during non-destructive sampling, jaw length size-at-age relationships derived from the tagged sea urchin populations were converted to test diameter size-at-age relationships using the allometric relationship J ¼ aD b, where J is jaw length and D the test diameter of sea urchins at the time of sampling, and the constants a and b were determined using a geometric mean functional regression (Ricker, 1973). To ensure that we could apply the size-at-age relationships derived from tagged sea urchins to determine the age of nontagged individuals, we made a direct comparison of the relationship between the jaw length and test diameters in a sample of tagged and non-tagged individuals. We used jaw length and test diameter measurements of animals taken at each site (Four Mile Point and Lords Bluff) to test for background (auto-) fluorescence in sea urchin skeletons (n ¼ 30 at each site), and measurements taken from tagged individuals used in the model that were collected 1 year after tagging (n ¼ 71 at each site, Table 1). Using ANCOVA, we determined that there was no significant interaction between tagging and the relationship between jaw length and test diameter (p ¼ 0.31 and p ¼ 0.46 at Four Mile Point and Lords Bluff, respectively) and that the intercepts were not significantly different (p ¼ 0.41 and p ¼ 0.61 at Four Mile Point and Lords Bluff, respectively). We therefore assume that using size-at-age relationships derived from tagged sea urchins to determine the age of non-tagged sea urchins in the same habitat type is valid. Age frequency distributions of adjacent sea urchin populations were compared using a randomization procedure with the Kolmogorov–Smirnov test statistic (D). Age frequency data were pooled and individuals reallocated randomly to each population, then the test statistic (D) was recalculated. The procedure was repeated 1000 times, and the test of significant difference between the two populations made by comparing the value of the observed test statistic to the distribution of D-values obtained by the randomization procedure. Significant differences were identified when fewer than 25 of the randomized D-values exceeded the value of D from the original populations (see Haddon, 2001, for overview). Results Fitting the Richards function to growth data from sea urchins collected up to 2 years after tagging indicated that individuals in the native macroalgal bed at Four Mile Point had faster rates of growth (k ¼ 0.099) and reached a larger asymptotic size than animals in the population on the barrens at Lords Bluff (J1 ¼ 16.49, D1 ¼ 100.96; Table 2, Figure 4). Growth of sea urchins on barrens habitat at Lords Bluff was slower (k ¼ 0.093), and animals there reached a smaller asymptotic size (J1 ¼ 16.23, D1 ¼ 94.35). The Richards function did not fit data obtained from Lords Bluff as well as data collected from Four Mile Point, the model having greater sums of square error (Table 2). However, when the fitted growth curves were compared, using analysis of residual sums of squares, the difference was not significant (F2640 ¼ 228.92, p . 0.05). ANCOVA indicated that relationships between test diameter and jaw length differed between sea urchins tagged at Four Mile Point with those tagged at Lords Bluff (p , 0.0001). The relationship between jaw length and test diameter of small sea urchins was also different between populations, small animals in the native macroalgal bed at Four Mile Point having larger jaws than conspecifics of similar test diameter in the barrens at Lords Bluff (Figure 5). However, the relationship was reversed when animals reached 49 mm test diameter, sea urchins at Lords Bluff possessing larger jaws than conspecifics of similar test diameter at Four Mile Point. The sea urchin population in the native macroalgal bed at Four Mile Point consisted of larger animals than that at Lords Bluff, with ca. 70% of the population .80 mm test diameter (Figure 6). In contrast, sea urchins .80 mm test diameter constituted just 17% of the population on the barrens at Lords Bluff. The modal size of sea urchins at Four Mile Point was 82 mm, noticeably larger than sea urchins at Lords Bluff (72 mm). Comparison of sea urchin age frequencies revealed significant differences among the populations (p , 0.0001). Almost 20% of individuals in the population at Four Mile Point were older than 20 years, whereas at Lords Bluff just 7% of the population was older than that. Although the size-at-age relationships for the populations at Four Mile Point and Lords Bluff were not significantly different, the predicted ages of individuals of similar size in each population were noticeably different. For example, a sea urchin with a test diameter of 60 mm had an estimated age of 7 years at Four Mile Point and 9 years at Lords Bluff. The predicted range of test sizes within each estimated age class was consistently larger from the population in the barrens at Lords Bluff than in the population at Four Mile Point. Comparisons of non-tagged sea urchin populations in barrens and native macroalgal beds yielded notable differences in size frequency distributions at two separate locations (p , 0.001 for Stapleton Point and Lords Bluff). Also, at both locations, there were fewer sea urchins ,70 mm in the algal beds than in the adjacent barrens habitat population (Figure 7). In contrast, there was no difference in the age frequency distributions between barrens habitat and native macroalgal beds at either Stapleton Point or Lords Bluff (p ¼ 0.125 and p ¼ 0.142, respectively). Discussion Whereas the growth dynamics of sea urchin species have been described using a range of growth functions, the generalized Richards function has been the one most commonly used (Ebert, 1980a, b, 1982; Gage and Tyler, 1985; Russell, 1987; Table 2. Estimates of the Richards growth function parameters for sea urchin populations at two sites within Mercury Passage, where k is the growth rate, J1 the asymptotic jaw length (mm), D1 the asymptotic test diameter (mm), n’ the shape parameter, SSE the weighted error sums of squares, and n the number of sea urchins in each sample. Site k J1 D1 n’ SSE n Four Mile Point 0.099 (0.070 –0.127) 16.49 (16.99 –16.16) 100.96 (99.38 –103.37) 21.10 (21.17 –1.04) 8.4497 193 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . Lords Bluff 0.093 (0.075 –0.103) 16.23 (16.75 –15.97) 94.35 (93.07 –96.88) 21.04 (21.13 –0.96) 10.7251 228 Values of k, J1, and n’ result in the least SSE, and 95% confidence intervals are estimated from 1000 bootstrap samples (in parentheses). 6 H. G. Pederson and C. R. Johnson Figure 4. Size-at-age relationships developed using the Richards function fitted to data combined from three sampling periods (12, 14, and 24 months post-tagging) for Four Mile Point (solid line) and Lords Bluff (dashed line). Series on the left represent jaw length-at-age, and series on the right represent size-at-age relationships based on test diameter estimated from the allometric relationship between jaw length and test diameter of tagged sea urchins at each site. Ebert and Russell, 1992; Kenner, 1992; Lamare and Mladenov, 2000). This reflects the versatility of the function, which allows for the inclusion of known size-at-age data and in particular the size at recruitment (Ebert, 1999, 2001), and the inclusion of data from multiple sampling periods (Ebert, 1999). The linear nature of the relationship we observed between JtþDt and Jt suggests that the generalized Richards function was the most appropriate to model the growth of H. erythrogramma in the habitats we sampled (Ebert, 2001). Parameter estimates of the Richards function describing growth in H. erythrogramma determined here are different from those of Ebert (1982) for New South Wales and Western Australia. Our Figure 5. Jaw length (JtþDt) as a function of test diameter (D) at the time of sampling from tagged sea urchins at Four Mile Point (FMP, open squares, J ¼ 0.131D þ 3.365, r 2 ¼ 0.63, solid line) and Lords Bluff (LB, open triangles, J ¼ 0.169D þ 1.481, r 2 ¼ 0.79, dashed line). ANCOVA indicated significant differences in slope (p , 0.0001). The dashed vertical line indicates the point at which the two relationships are equivalent (49 mm). Growth and age structure of sea urchins in eastern Tasmania 7 Figure 6. Size and age frequency distributions derived from growth functions fitted to tag-recapture data, of tagged sea urchins in a population in a native macroalgal bed (Four Mile Point, n ¼ 385) and a population in a barrens (Lords Bluff, n ¼ 501). Sea urchin sizes are test diameters. estimates of asymptotic size were greater, but the growth rate (k) was slower, than with those of Ebert (1982). The differences in growth estimates between the two studies would, however, be expected given the broad geographic range and differences in habitats between the sites here and those of Ebert (1982). We expect that H. erythrogramma will display a wide range of growth rates and achieve different asymptotic sizes given its large geographic range (Endean, 1957; Dix, 1977a) and the variety of habitats it occupies, from deep intertidal to subtidal reefs and seagrass beds (Underwood et al., 1991; Growns and Ritz, 1994; reviewed by Keesing, 2001). In a similar study, Sanderson et al. (1996) constructed a growth function of H. erythrogramma using the generalized Richards function (where n’ ¼ 21, i.e. von Bertalanffy model), from sea urchins tagged on a barrens habitat several kilometres from our site at Lords Bluff. Their estimates of growth rate (k ¼ 0.20) and asymptotic test diameter (85.0 mm) are markedly different from those estimated here (k ¼ 0.093 and D1 ¼ 94.35 mm) on a similar barrens habitat. This suggests that sea urchin growth might be variable across relatively small spatial and/or short temporal scales, perhaps exceeding the variation between different habitats in other sea urchin species (Russell, 2000). Alternatively, the differences may be due in part to the size ranges used to fit the growth models, or that Sanderson et al. (1996) estimated growth parameters from plots of jaw length at the time of sampling (JtþDt) as a function of jaw length at tagging (Jt, see Ebert, 1980a), which do not take into account estimates of size at recruitment (J0), the shape of the growth function (n’), or minimize prediction error by optimizing parameter estimates. Barrens habitats are typically characterized by a complete absence of erect macroalgae (Breen and Mann, 1976; Estes et al., 1978; Fletcher, 1987), significant reduction in reef primary productivity (Chapman, 1981), and persistent sea urchin populations relying on limited supplies of drift, micro- and coralline algae (Johnson and Mann, 1982). The similarity of the growth trajectories of sea urchins in habitats supporting a canopy of native macroalgae with those from barrens with a seasonal influx of the introduced macroalgae U. pinnatifida suggests that there are sufficient food resources for sea urchins to maintain normal somatic growth in these atypical barrens. Although the collective area of 8 H. G. Pederson and C. R. Johnson Figure 7. Size and estimated age frequency distributions of non-tagged sea urchin populations in barrens and adjacent native macroalgal beds at Stapleton Point (n ¼ 209 and n ¼ 218, respectively) and Lords Bluff (n ¼ 213 and n ¼ 79, respectively). Sea urchin sizes are test diameters. barrens within Mercury Passage is relatively large (105 –106 m2), the area of individual barrens is relatively small (101 –103 m2), so the amount of native drift algae within individual barrens may be relatively high. The preference of H. erythrogramma for drift over attached native macroalgae has been documented in other parts of its range (Vanderklift and Kendrick, 2005), but a preference for native drift algae over U. pinnatifida by this sea urchin has not been demonstrated. Experimental evidence and in situ 9 Growth and age structure of sea urchins in eastern Tasmania observations suggest that H. erythrogramma grazes on a combination of U. pinnatifida and native drift algae when present within these atypical barrens (Valentine and Johnson, 2005). Although the fitted growth functions for sea urchins on barrens and in the macroalgal bed suggest that the two populations had similar growth trajectories, individuals in the barrens on average had significantly larger jaws relative to their test diameter (Figure 3). This suggests that the population in the barrens is resource-limited. Similar observations have been made for Evechinus chloroticus, resource-limited animals having significantly larger jaws than conspecifics of similar test size in resource-rich habitats (McShane and Anderson, 1997). Significant differences in the relationships between jaw length and test diameter in response to limited food resources have been demonstrated for other temperate sea urchins (Ebert, 1980b; Black et al., 1982, 1984; Levitan, 1991). Increased relative jaw size is thought to increase grazing potential, which is likely to be of adaptive significance in resource-limited environments (Black et al., 1984). Notably, differences in relative jaw length among sea urchins in the native macroalgal bed and barrens populations were not consistent across sea urchin size. Small sea urchins in the native macroalgal beds had relatively larger jaws than conspecifics of equivalent size in the barrens, but this pattern was reversed for individuals .49 mm in diameter. At our sites, animals ,50 mm in diameter were rarely observed and remained cryptic. Therefore, the apparent shift in resource allocation to jaw development between the two populations may reflect an ontogenetic shift in diet. Juveniles emerging from crypsis in the barrens habitat may experience food limitation relative to newly emergent conspecifics in native macroalgal beds, leading to allocation of resources to the development of jaws to increase their grazing ability. These results suggest that overall jaw growth in H. erythrogramma is less sensitive to resource limitation than other internal allocation of resources, such as test growth. Similarly, changes in test thickness have been found to be more sensitive in terms of response to resource availability than test diameter (Ebert, 1982). Hypotheses accounting for barrens formation have been long argued and essentially fall into two broad categories, those based on changes in sea urchin population density, and those based on invoking changes in sea urchin behaviour. Occasional prodigious recruitment events, across large spatial scales (105 –106 m), have been suggested as a possible mechanism to increase sea urchin population density rapidly to a level to facilitate barrens formation (Hart and Scheibling, 1988). Our comparison of non-tagged sea urchin populations at two separate locations in Mercury Passage suggests that the establishment of barrens is not the result of a single prodigious broad-scale recruitment event, for several reasons. First, the age structure of populations between barrens and adjacent native macroalgal beds was not distinctly different. Second, the age structure of sea urchin populations in barrens did not contain prominent cohorts that were absent in populations in adjacent macroalgal beds. Finally, barrens in Mercury Passage occur over much smaller spatial scales (101 –103 m) than the hypothesized scale over which prodigious recruitment has been suggested as possible. Although we can conclude that broad-scale prodigious recruitment events are unlikely to be the cause of barrens in Mercury Passage, we cannot rule out the influence of small-scale differences in sea urchin recruitment. 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