ARTICLE IN PRESS Continental Shelf Research 26 (2006) 2415–2432 www.elsevier.com/locate/csr Primary production by macroalgae in Kattegat, estimated from monitoring data, seafloor properties, and model simulations Jörgen Öberg Department of Oceanography, Earth Sciences Centre, Göteborg University, P.O. Box 460, S-405 30 Göteborg, Sweden Received 3 April 2005; received in revised form 29 June 2006; accepted 12 July 2006 Available online 12 September 2006 Abstract The aim of the study was to estimate yearly macroalgal production in the Kattegat. The estimate was calculated from the abundance and distribution of nine of the most dominant macroalgal species, and from factors important for abundance, distribution and growth (e.g. bottom topography and sediment composition, irradiance, nitrogen concentrations and seawater temperature). The result showed that 6.6% of the Kattegat area is suitable for macroalgal growth. The estimated production was 4–514 g C m2 year1 depending on depth and sub-area. The total yearly production was estimated to 119 106 kg C y1. r 2006 Elsevier Ltd. All rights reserved. Keywords: Biomass; Environmental monitoring; Macroalgal growth model; Phytobenthos; Primary production; Sediment properties; Solid substrates; Europe; Scandinavia; Kattegat 1. Introduction The sea of Kattegat between Sweden and Denmark has approximately one third of its seafloor within the photic zone. This should render the benthic primary production in Kattegat a relatively high importance. Still, existing primary production studies in Kattegat (e.g. Rydberg et al., 2006; Carstensen et al., 2003; Richardson and Heilmann, 1995; Heilmann et al., 1994; Richardson and Christoffersen, 1991) are focused on the pelagic production, whereas a comprehensive study of the benthic production in Kattegat has hitherto not Tel.: +46 31 773 2859; fax: +46 31 773 2888. E-mail address: [email protected]. 0278-4343/$ - see front matter r 2006 Elsevier Ltd. All rights reserved. doi:10.1016/j.csr.2006.07.005 been made (L. Edler, p. comm.; I. Wallentinus, p. comm.). A figure of 1 g C m2 y1 for the average benthic primary production in Kattegat was mentioned by Borum and Sand-Jensen (1996) but the underlying data, based on microalgal production in a limited area (Graneli and Sundbäck, 1986), cannot be considered as being representative for the entire Kattegat. Kattegat is a small shallow sea (area 21 600 km2, mean depth 24 m), situated between Denmark and Sweden in the transitional zone between the brackish Baltic Sea and the marine North Sea (Fig. 1). The scatter diagram (Fig. 2) from the open sea monitoring station Fladen (Fig. 1, no. 10) shows the large annual variation in salinity and temperature in the photic zone of Kattegat. The summer ARTICLE IN PRESS 2416 J. Öberg / Continental Shelf Research 26 (2006) 2415–2432 Fig. 1. Map of the Kattegat area, showing the bathymetry as well as the positions of the sampling locations. Fig. 2. Salinity (upper panel) and temperature (lower panel) observations at Fladen in central Kattegat during 1994–1996. temperature can be even higher in sheltered areas. The tidal amplitude in the area is generally small, about 0.2 m in the south-western part and less in the east. The bottom topography of Kattegat shows a pronounced shelf in the northwest, with depths usually less than 20 m. Steep, rocky shores are found on the northern and southern end of the eastern coast, but the seafloor is otherwise more gently sloping. A few islands, and a number of mid-sea banks, provide substrates within the photic zone also in the central part of Kattegat. With a decreased salinity such as in Kattegat, the number of macroalgal species is lower, which chiefly affects the non-dominant species (Middelboe et al., 1997). Further, reduced salinity often means a reduction in size of the macroalgae (Lüning, 1990). The main growth season of macroalgae is in spring and early summer, extending into early autumn especially for ephemeral annual macroalgae. Low light and water temperature inhibits growth in winter. The internal nutrient reserves of the macroalgae, replenished in winter, enable the rapid growth in spring to continue into summer in spite of the reduction of dissolved nutrient concentration caused by the phytoplankton spring bloom (Dring, 1982). When the internal reserves are depleted, growth continues at a rate determined by the external conditions. Blades shed by macroalgae during growth, and plants torn off by wave action, are decomposed in the detritus food web. Grazing may cause a large loss of biomass in some areas, but has only a small effect in others. In the absence of limpets, Littorina spp. are the main grazers of macroalgae in the littoral zone along the Swedish west coast (Cervin and Åberg, 1997), whereas sea urchins are the main grazers in the sub-littoral zone (Lüning, 1990). However, also crustaceans such as the isopods Idotea spp. may be important (Pavia et al., 1999). Mathematical modelling is a useful tool to obtain quantitative data of objects or phenomena when actual measurements are unavailable, to investigate the functioning of an ecosystem, or when a prediction of the future development is desired. Regarding macroalgae, recent examples of model use for the two latter reasons include simulations of the development of a single opportunistic macroalgal species (Ruesink and Collado-Vides, 2006; de Guimaraens et al., 2005; Martins and Marques, 2002), and ecosystem models simulating the coexistence of macroalgae of different functional groups ARTICLE IN PRESS J. Öberg / Continental Shelf Research 26 (2006) 2415–2432 (Biber et al., 2004), of macroalgae and benthic phanerogams (Giusti and Marsili-Libelli, 2005), or of macroalgae and plankton (Tanaka and Mackenzie, 2005; Trancoso et al., 2005; Baird et al., 2003). In this study, a single-species model was used to estimate yearly production for a number of representative macroalgal species. The aim of this study was to estimate from existing data the macroalgal contribution to the total primary production in Kattegat. This required information on the amount and location of macroalgal presence, as well as of the species distribution and productivity. As macroalgae only grow in the photic zone, mostly attached to a solid substratum, information on depth distribution and sediment structure was also needed to obtain a fair description of the spatial distribution of locations suitable for brown and red macroalgae. The distribution of green macroalgae was treated differently. As these macroalgae often appear aggregated into floating mats, the description was focussed on the availability of shallow and sheltered areas. Most of the publicly available Kattegat macroalgal monitoring data from the last decade was used in this study. Ideally, all of these data would include biomass determinations. Equally important for the productivity calculations would be estimates of macroalgal annual productivity made in the area or under Kattegat-like conditions. Neither of these conditions was met for this study. Only a minority of the macroalgal monitoring data contained biomass information. Instead, a majority of the monitoring efforts were concerned with macroalgal coverage estimations. Through the availability of simultaneous measurements of both biomass and coverage at some stations, a relationship was established to convert the coverage data at the other stations to biomass figures. The lack of areaspecific annual productivity measurements made model simulations a suitable alternative to obtain yearly production to biomass ratios. The simulations were made with an adapted version of the macroalgal growth model by Öberg (2005) for nine of the most common species of macroalgae in Kattegat. The biomass estimations and the yearly productivity calculations were combined with information on the topography and sediment structure of the Kattegat seafloor to estimate the production from macroalgae in four depth segments of the eastern, western, and southern parts of Kattegat. 2417 2. Material and methods 2.1. Coverage and biomass of various macroalgae The benthic macrophytes in Kattegat have been monitored at coastal and offshore stations by the Danish National Environmental Research Institute (NERI) and by the Halland and Skåne county administrations. The monitoring frequency varies; some sites are visited every year, while others have been visited only once during the last decade. Table 1 lists the depths, years, measured variables and coordinates of the monitoring stations used in the present study. The positions of the stations are shown in Fig. 1. All macroalgal monitoring was made in summer through visual inspection by divers along transects down to a maximum depth of 20 m. The assembled coverage, defined as the share of suitable hard substrate covered with macroalgae (Krause-Jensen et al., 2001), was recorded at all sites. The macroalgal coverage was found by projecting the macroalgal thalli vertically onto the seafloor, thereby estimating the proportion of substrate covered. The estimations were made for three replicate areas in depth segments of usually 1 m vertical extension. At the S and W sides of Kattegat, the current method of NERI (Krause-Jensen et al., 2001) was used. The results from these stations (Anon., 2005), as well as from the three most southerly Swedish stations (Anon., 2001), were given as figures (0–100%) of total aggregated coverage by all macroalgal species on suitable substrates. The remaining reports from the Swedish coast (Carlson, 1996; Lundgren and Olsson, 2001; Olsson, 2001) all used the previous NERI method (Krause-Jensen et al., 1995), where the estimates are given in five categories (0–2%; 2–25%; 25–50%; 50–75%; 75–100%) of the aggregated coverage. At these stations, the biomass (g dwt m2) of the occurring macroalgae, estimated from manually collected samples, was also reported (Fig. 3). A selection of macroalgal species must include the most common species in the area. To ascertain representativity, the choice should also embrace the major functional groups (Littler, 1980), as otherwise highly productive annuals might have to stand back for abundant, but less productive, perennial species with a high standing stock. For the computations in the present paper, nine generally abundant species of macroalgae, two Chlorophyta (green algae), three Phaeophyta (brown algae), and four Rhodophyta ARTICLE IN PRESS J. Öberg / Continental Shelf Research 26 (2006) 2415–2432 2418 Table 1 The Kattegat monitoring stations used in this study No 1 2 3 4–6 7 8 9 10 11 12 13 14–16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 Station name Depth (m) Year interval NERI, Denmark (Anon., 2005) Herthas Flak 10–20 1999–2002 Tønneberg Banke 10–15 1999–2002 Læsø Trindel 6–18 1999–2002 Læsø (3 stations) 4–7 1996–1997 Læsø sukkerrev 1–3 1996–1997 Per Nilen 6–11 1999–2002 Læsø rende 0–25 1998–1999 Fladen 0–85 1998–1999 Kims Top 14–19 1999–2002 Aalborg Bugt 0–14 1998–1999 Anholt E 0–25 1998–1999 Hevring Bugt (3 st.) 1–6 1996 Fornæs 0–13 1998–1999 Store Middelgrund 9–18 1999–2002 Lysegrund NE 0–25 1998–1999 Briseis Flak 5–9 1999–2002 Kullen 0–25 1998–1999 Hesselø 0–25 1998–1999 Hesselø 0.5–11 1999–2003 Schultzs Grund 4–18 1999–2002 Gniben 0–25 1998–1999 Gilleleje 0.5–14 1999–2003 Vilingebæk 1–11 1999–2003 Ellekilde Hage 0.5–7 2001–2003 Tisvildeleje 1–12 1999–2003 Liseleje, Torup Flak 1–14 1999–2003 Hallands kustkontrollprogram, Sweden (Carlsson, 1996) Kalvö 0–3 1996 Lerkil syd 0–6 1996 Bua 0–5 1996 Morups Tånge 0–4 1996 Örnäs Udde 0–3 1996 Nordvästskånes kustvattenkommitté, Sweden (Anon., 2001; Hovs Hallar 2–4 1996–2000 St. Måseskär 1–4 2000 Ramsjöstrand 0–4 1996–2000 Arild 2–14 1996–2000 Kullaberg nord 0–14 2000 Kullaberg syd 0–16 2000 Variables measured Position latitude Position longitude C C C C C C N, N, C N, N, C N, C N, C N, N, C C N, C C C C C 571 571 571 571 571 571 571 571 571 561 561 561 561 561 561 561 561 561 561 561 561 561 561 561 561 561 101521E 111164E 111148E 1111E 111130E 111026E 101445E 111400E 111355E 101475E 121070E 1213E 111020E 121042E 121020E 111197E 121222E 111480E 111431E 111114E 111096E 121184E 121229E 121290E 121022E 111547E T S, T T T T T T T T 385N 284N 256N 20N 190N 228N 176N 115N 008N 514N 400N 3N 335N 333N 225N 196N 140N 099N 118N 096N 079N 087N 065N 058N 032N 017N B, C 571 253N B, C 571 259N B, C 571 138N B, C 561 564N B, C 561 382N Lundgren and Olsson 2001; Olsson, 2001) B, C 561 282N C 561 272N B, C 561 231N B, C 561 165N C 561 182N C 561 175N 121040E 111547E 121138E 121217E 121490E 121424E 121329E 121395E 121348E 121277E 121282E The station numbers are also found in Fig. 1. The measured variables are macroalgal biomass (B), macroalgal coverage (C), nutrients (N), salinity (S), and temperature (T). (red algae), were taken to make up 100% of the macroalgal biomass in the Kattegat. Macroalgae are found to live at depths down to 25 m in the Kattegat (e.g. Karlsson et al., 1998). Although macroalgal coverage was measured down to 20 m or more at some stations, no biomass measurements were available below 15 m. The depth of the photic zone, taken as the 1% light penetration level, zq (1%), is 15–18 m in Kattegat (Richardson and Christoffersen, 1991), and 15.7 m in Århus Bay, SE Kattegat (Lund-Hansen, 2004). The depth where 10% of the surface irradiation remains, zq (10%), roughly corresponds to the Secchi depth (e.g. Højerslev, 1978), and the ratio zq (1%)/zq (10%) ¼ 2.18 (Jerlov, 1976). The mean value of the 3772 Secchi-depth measurements, taken 1960–1999 in the nineteen 0.51 square areas entirely within Kattegat, of 7.2 m (Aarup, 2002) thus corresponds to a zq (1%) of 15.7 m. Hence, the model simulations presented below gave very low production rates at 16 m, and practically zero at 18 m, for all species. Therefore, the macroalgal ARTICLE IN PRESS J. Öberg / Continental Shelf Research 26 (2006) 2415–2432 Fig. 3. The depth distribution of the mean measured biomass at the Swedish stations (nos 31–36 and 38, 39 in Table 1). The dashed lines are 1 m depth intervals, used from 0–3 m in stations 31–35. For each depth segment, the number of measurements (three replicates each) is given by n. The error bars give the standard deviations. production, albeit not the biomass, below 15 m depth was assumed to be negligible. In this paper, the macroalgal habitat was divided into four depth zones; 0–2, 2–4, 4–8, and 8–15 m. In the 0–2 m depth zone at the eight Swedish stations that reported biomass, 80% of the total measured macroalgal biomass consisted of Fucus serratus and F. vesiculosus. The latter species usually grows in large amounts in the immediate vicinity of the shoreline, and may thus be underrepresented in the biomass measurements (Carlson, 1996). Red algae dominated in the two intermediate zones, from 2–8 m depth, where 47% of the measured biomass at the Swedish stations came from the perennial cartilaginous macroalgae Chondrus crispus and Furcellaria lumbricalis, whereas the filamentous macroalgae Ceramium nodulosum and Polysiphonia fucoides together constituted an additional 16% of the measured biomass. In the 8–15 m zone, perennial red algae and Laminaria spp. dominated the measured biomass with about three fifths and one fifth of the total biomass, respectively. The depth 2419 distribution of the measured macroalgal biomass, excluding green algae, is shown in Fig. 3. This depth zonation pattern agrees with depth distribution studies of macroalgae in the NE Kattegat (Karlsson et al., 1998; Karlsson, 1999) and a study of two stone reefs in the SW Kattegat (Dahl et al., 2005). The topography of the Kattegat seafloor within the photic zone ranges from the wide, flat, and mostly sandy Jutland shelf to the steep rocks found on certain locations on the Swedish coast. Nevertheless, hard substrates such as stones and boulders suitable for macroalgal establishment are found in all of Kattegat. Despite the differences in bottom topography, the majority of the macroalgal species recorded by Nielsen et al. (1995) have the same relative importance in the eastern and the western Kattegat regions. The nine species selected above are listed as dominant or frequent in all of Kattegat (Nielsen et al., 1995). These species are characterised as dominant open coast species on the Danish side (Middelboe, 2000), and they are also the most commonly occurring on the Swedish side (Carlson, 1996; Anon., 2001; Lundgren and Olsson, 2001; Olsson, 2001). To calculate the macroalgal production, it was necessary to convert the macroalgal coverage (%) to biomass density (g dwt m2) of macroalgal standing stock at stations lacking this information. The conversion was made assuming that the species composition and depth zonation pattern was similar at all stations, that the above chosen species could represent all macroalgal species in Kattegat, and that the coverage to biomass relation was linear (Fig. 4). In each depth zone, a 100% cover of macroalgae was set to correspond to a different biomass and species composition. The respective depth zones were assigned a total biomass that would be approximately similar to the corresponding total biomasses in Fig. 3, and with a relative proportion of the chosen macroalgal species reflecting the species composition given above (Table 2). The chosen green macroalgae were Cladophora spp. and Ulva spp., opportunistic species commonly found in shallow locations in the Kattegat (e.g. Pedersén and Snoeijs, 2001). These annual algae do not have a standing stock in the sense of the perennials, but can anyway appear in large quantities at certain locations during part of the year. They usually appear in locations sheltered from wave exposure, where they can also detach from the substrate and form floating mats (Pihl et al., 1999). Thus, the mat-forming macroalgae are not entirely ARTICLE IN PRESS J. Öberg / Continental Shelf Research 26 (2006) 2415–2432 2420 Fig. 4. Macroalgal biomass versus coverage for: (a) Fucus serratus and F. vesiculosus at 0–2 m depth; (b) Laminaria sp. at 8–14 m depth; (c), (d) Cartilaginous red macroalgae (Chondrus crispus and Furcellaria lumbricalis) at 0–2 m and 2–4 m depth, respectively; (e), (f) Filamentous red macroalgae (Ceramium nodulosum and Polysiphonia fucoides) at 0–2 m and 2–4 m depth, respectively. The r2-values for the linear regressions (dashed lines) are: (a) 0.59; (b) 0.50; (c) 0.25; (d) 0.45; (e) 0.46; (f) 0.93. Table 2 Standing stock biomass of the chosen species of perennial macroalgae [g dwt m2] set to correspond to 100% coverage of macroalgae in the respective depth zones Depth 0–2 m 2–4 m 4–8 m 8–15 m Species F. serratus & F. vesiculosus C. crispus & F. lumbricalis C. nodulosum & P. fucoides Laminaria spp. Total biomass 1000 150 150 — 1300 — 400 200 — 600 — 100 100 100 300 — 100 — 50 150 The annual species, Cladophora & Ulva spp., were given a common seasonal biomass of 100 g dwt m2 in the uppermost depth zone. dependent on hard substrates for their development. At 16 monitoring stations in the NE Kattegat, Karlsson et al. (1998) found an ample coverage of green macroalgae at seven of eight sheltered locations, whereas only four of eight exposed locations reached even a fair coverage. Frequently, 30% or more of the total shallow area from Tistlarna (N 571310 ) and northwards on the NE Kattegat coast may be covered with ephemeral algae (Moksnes and Pihl, 1995; Jenneborg et al., 2005). On the more exposed coast further south, only sparse amounts of green algae are reported (Carlson, 1996; Anon., 2001), although the Laholm Bay in SE Kattegat experienced mass occurrences of ephemeral green algae in the 1970s and early 1980s (Rosenberg et al., 1990). On the Danish side, ephemeral green macroalgae are also common in the sheltered bays, but not in the open waters that is the subject of the current estimation (e.g. Pedersen and Borum, 1997). Contrary to the brown and red species, the green macroalgae in this study were not evaluated in terms of standing stock. Instead, the estimation was based on the size of the sheltered area in the uppermost depth zone (0–2 m), where ephemeral green macroalgae are usually found, and a representative density. The area within 2 m depth in the Kattegat is 405 km2. Sheltered areas, suitable for extensive growth of green ephemeral macroalgae (Pihl et al., 1999), are found chiefly in NE Kattegat, where around 90 km2 of the seafloor is inside 2 m depth. Here, the area above 2 m depth protected from wave exposure, chosen as the habitat for the green macroalgae in this study, was determined to be one third of this (Moksnes and Pihl, 1995; Jenneborg et al., 2005), or 30 km2. The summer mean biomass of green macroalgae in shallow bays in NE Kattegat was 155 g dw m2 in 2003 (Jenneborg, 2004) and 57 g dw m2 in 2004 (Jenneborg ARTICLE IN PRESS J. Öberg / Continental Shelf Research 26 (2006) 2415–2432 et al., 2005). The representative biomass density of green macroalgae in this study was set to 100 g dwt m2. 2.2. Primary production by macroalgae The annual production, P, by macroalgae can be several times higher than the biomass, B (Lüning, 1990). The production in a specific area may however, due to the local environmental conditions, deviate substantially from the general picture, or from observations made elsewhere. For biomass calculations, reliable figures should, if available, preferably be derived from studies made in the area of interest. The production figures in this paper were computed with a process based model of macroalgal growth, originally developed for green macroalgae in shallow bays (Öberg, 2005), now adapted to the species included in this study and to Kattegat open water conditions. The current adaptation of the model, as described in the Appendix A, included the use of observed values of temperature and nutrient concentrations as forcing functions. Further, the model made use of literature values of the nutrient uptake, growth, and photosynthesis variables of the chosen species as shown in Table 3. The values in this table were selected to, as far as possible, be representative for Kattegat conditions. Of the 30 papers cited in Table 3, only nine have macroalgae in Kattegat, Skagerrak, or the Baltic Sea as their subject. However, 37 of the 64 individual variables in Table 3 stem from these nine studies. The nutrient forcing thus consisted solely of open sea nitrogen concentrations measured about monthly at the surface and downwards in 5 m depth intervals during 1998–1999 by NERI (Anon., 2005) at nine Kattegat stations (Fig. 1). The model simulations made use of monthly average values + of the measured NO 3 and NH4 concentrations from all nine stations in the 5 m interval centred on the current depth. The temperature data were taken from the same stations, depths, and time period, and used in the model with values interpolated to the current time and depth. The surface irradiation was taken from of global radiation observations in Göteborg on the NE Kattegat coast measured in five-minute intervals by SMHI during 1998–1999. The light was reduced to current depth values according to a photic depth of 15.7 m as explained above. 2421 As briefly described above, and to more detail in the Appendix A, the model computes growth of macroalgae from nutrient, light, and temperature forcing, and loss from a fixed loss rate. To find annual production figures, model simulations with the loss rate set to zero were made for each of the red and brown macroalgal species (see below for green algae). The production to biomass (P/B) ratio for each of these species was taken to be its increase in biomass during a one year simulation, divided by the initial biomass of the macroalgae. By using results from the second year of a 2-year calculation, model spin-up effects were eliminated. The P/B ratio of the green algal species, could however not be computed on an annual basis. The high daily growth rates together with the difficulty of determining what a reasonable annual biomass should be, called for a different approach. The production of the green algae was computed based on the seasonal biomass values in Table 2, a productive season of two months duration, and a model computed daily growth rate according to Table 4. 2.3. Sea bottom topography and sediment composition To determine the area of suitable habitats for macroalgae, a digital sea bottom sediment map (Hermansen and Jensen, 2000), shown in Fig. 5, was used. The compilation of this map is based on data from shallow seismic surveys also including side scan sonar in combination with information from grab samplers and other surface sediment samplers as well as from sediment core data. Most of the shallow seismic techniques applied have a subbottom resolution normally in excess of 0.5 m, which implies that the seabed classification presented in the map refers to a series of seabed types derived from seismic integration of the upper 0.5 m of sediment (Hermansen and Jensen, 2000). Of the seven categories in the sediment type map (Fig. 5), the lag sediments (no 4–6) and the crystalline bedrock (no 7) can be considered as hard-bottoms (J.B. Jensen, p. comm.), suitable for macroalgae according to the criteria of Krause-Jensen et al. (2001). The sandy areas (no 3), although gravel and stones occur locally, are not clearly defined as either erosion or accumulation areas, and were thus judged as not suitable. The sediment map was combined with two depth databases, together covering the whole of Kattegat, to find the respective size of the depth zones used in Green, leaf-like Green, filamentous Brown, leathery Brown, leathery Red, filamentous Red, filamentous Red, cartilaginous Red, cartilaginous Ulva spp. Cladophora spp. F. serratus & F. vesiculosus Laminaria spp. 24617 10325 2173 80425 86425a 663 15517 71418 13125 683 3725 49725a 2293 3 11904, 5 3461, 2, 14663 391, 873 2, 3 Maximum NO3 uptake rate, Vmax, (mg g dw1 h1) Half-saturation constant (NO3), km, (mg l1) 7, 8, 9, 10 0.0130 0.0219 0.0228 0.1489 0.01217, 19, 20 0.0199; 0.0359 0.01415, 20 0.316, 0.279 Maximum growth rate, mmax, (d1) 0.630 331 0.531 0.521 226 321 0.611 0.611, 15 Maximum areal density (kg dw m2) 122 1.522 4.222 3.222 1.622 222 423 7.3712, 315 13 Max. photosynthetic rate, Pmax, (mg C g dw1 h1) 0.1122 0.2922 122 122 0.4922 0.4422 0.523 1.412, 13 0.7815 Dark respiration rate, R, (mg C g dw1 h1) 16422 13922 10022 10722 8122 32922 80023 8412, 13 35016 Light satura-tion point, Ik, (mE m2 s1) Yes30 Yes29 No31 No31 Yes27 Yes24 Yes10, Yes10 Author 1. Fujita (1985) 2. Taylor and Rees (1999) 3. Wallentinus (1984) 4. Hernández et al. (2002) 5. Lotze and Schramm (2000) 6. Fong et al. (1994) 7. Martins et al. (1999) 8. Martins and Marques (2002) 9. Nielsen and Sand-Jensen (1990) 10. Taylor et al. (2001) 11. Pihl et al. (1996) 12. Arnold and Murray (1980) 13. Enrı́quez et al. (1995) 14. Bishoff and Wiencke (1993) 15. Peckol and Rivers (1995) Location Falmouth, Massachusetts, USA NE New Zealand Baltic Sea, and various locations Cadiz Bay, SW Spain W Baltic Sea, Germany San Francisco Bay, California, USA Mondego estuary, W Portugal Mondego estuary, W Portugal Roskilde fjord, E Denmark S England, UK Skagerrak and Kattegat, W Sweden Laguna Beach, California, USA Mediterranean Sea, NE Spain Disko Island, W Greenland Cape Cod, Massachusetts, USA 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. Ensminger et al. (2000) Gordillo et al. (2002) Raven and Taylor (2003) Bokn et al. (2002) Creed et al. (1998) Carlson (1996) Johansson and Snoeijs (2002) Brenchley et al. (1997) Altamirano et al. (2003) Rees (2003) A. Samuelsson, p. comm. Bolton and Lüning (1982) Aleksandrov et al. (2002) Tasende and Fraga (1999) Bird et al. (1991) Estimation River Ilm, Thüringia, Germany N Ireland, UK, low salinity culture Various locations Oslofjord, SE Norway Isle of Man, UK Kattegat, W Sweden Skagerrak, W Sweden NE Scotland, UK Helgoland, NW Germany Various locations Kattegat, W Sweden Helgoland, NW Germany Black Sea, Ukraine Galicia, NW Spain N Atlantic 14 Temperature limitation [0–25 1C] Carbon contents according to Atkinson and Smith, 1983. Oxygen based photosynthetic rates were converted to carbon fixation assuming a 1.2 photosynthetic quotient. a Refers to NH+ 4 -uptake. Ceramium nodulosum Polysiphonia spp. Chondrus crispus Furcellaria lumbricalis Type Species Table 3 Growth parameters for the chosen macroalgal species used in the model simulations 2422 J. Öberg / Continental Shelf Research 26 (2006) 2415–2432 ARTICLE IN PRESS ARTICLE IN PRESS J. Öberg / Continental Shelf Research 26 (2006) 2415–2432 2423 Table 4 Model computed annual P/B ratios (for the red and brown species), and daily growth rates (for the green species), compared with the measured daily growth rates in Nilsson and Oom (1988), and Borum and Pederson (1996) Depth 0m 1m 2m 3m 4m 5m 6m 7m 8m 10 m 12 m 14 m 16 m Species Ulva spp. Cladophora spp. F. serr. & F. ves. C. crispus F. lumbricalis C. nodulosum Polysiphonia spp. Laminaria spp. 0.05a 0.21a 0.61 0.55 0.28 12.1 2.6 — 0.04a 0.17a 0.59 0.54 0.27 11.4 2.5 — 0.03a 0.12a 0.54 0.51 0.26 10.0 2.3 — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — 0.50 0.46 0.43 0.41 0.38 0.33 0.23 0.17 0.08 0.02 0.24 0.22 0.21 0.20 0.19 0.16 0.11 0.09 0.05 0.02 9.0 7.6 6.7 6.5 5.6 4.6 2.9 2.1 0.59 0.02 2.1 1.8 1.6 1.3 1.1 0.85 0.48 0.27 0.08 0.006 — 0.75 0.69 0.68 0.63 0.56 0.42 0.32 0.15 0.03 18 m N&O B&P — — — 2 104 0.005 0 0 0 0.15a 0.49a 0.057a 0,037a 0.025a 0.26a N. a. 0.027a 0.446a 0.203a 0.039a N. a. N. a. 0.294a N. a. N. a. N. a.: Not available. N & O: From Nilsson and Oom (1988). B & P: From Borum and Pedersen (1996). a Daily growth rates. in Kattegat with different characteristics that need to be analysed as separate entities in a monitoring situation. These regions, shown in Fig. 1, are: (1) The Jutland shelf, characterised by relatively high values of salinity, nutrient concentrations, and chlorophyll, as well as strong mixing: (2) The Eastern part, is the deepest and has a pronounced salinity stratification with lower nutrient concentrations in the surface layer: (3) The Southern part, has the lowest salinity, due to inflow of brackish water from the Baltic Sea. This shallow area is also occasionally subject to upwelling of nutrient-rich bottom water originating from the Jutland current. Fig. 5. Map showing the sediment types in Kattegat (Hermansen and Jensen, 2000). 2.4. Computation of total biomass and annual production the macroalgal biomass determinations (Fig. 1). The Danish digital map (Anon., 2000) covers the western and central parts of Kattegat up to 57.51N with a varying horizontal resolution of down to 25 m, whereas the IOW Baltic region map (Seifert et al., 2001), that has 1 NM (1852 m) resolution north of 561N and 12 NM south of this, was used for the Swedish coast and the area north of 57.51N. The two depth databases are compiled using available data from sea surveys made throughout the 20th century with varying resolution and accuracy (Anon., 2000; Seifert et al., 2001). The coarse resolution of the IOW map was improved by manual addition of depth information from Swedish coastal charts. This study adopts the division suggested by Danielsson et al. (2004), who identify three regions The coverage figures for the stations that lacked information on biomass were converted to biomass according to the assumptions above, using the mean coverage value of the stations in each sub-area and depth segment. For each depth segment, the model calculated P/B ratios of each of the chosen species were multiplied with their given proportion of the biomass to get annual production figures per unit area, and with the size of the suitable areas to find the total yearly production. The carbon content of the macroalgae was assumed to be 31% of the dry weight (Atkinson and Smith, 1983). 3. Results The model simulations of the growth of the nine macroalgal species in this study were made to obtain ARTICLE IN PRESS J. Öberg / Continental Shelf Research 26 (2006) 2415–2432 2424 yearly production to biomass ratios for the red and brown species, and daily growth rates for the green macroalgae. The result of the model runs is shown in Table 4. For comparison, literature values of locally measured daily growth rates (Nilsson and Oom, 1988; Borum and Pedersen, 1996) are shown in the two rightmost columns of Table 4. The sediment and depth maps were combined to find hard-bottom areas above 15 m depth (Fig. 6). Table 5 shows the areas judged to be suitable for macroalgae, a total of 1438 km2 or 6.6% of the full Kattegat area. The Jutland shelf has 62% of the suitable area, almost all of which is found below 4 m depth. This shallow western and central part of the Kattegat seafloor is covered by lag sediment on glacial till, sand, and sandy mud, where only the first was judged as a suitable substratum for macroalgae. These sediment types also dominate in the southern part (11% of the suitable area) with the addition of lag sediments on quaternary clay and peat. The seafloor on the steeper Swedish side (27% of the suitable area) does have some solid rock, but 94% of the suitable sediments are also here of the lag types, except now mainly on quaternary clay and peat. The observed mean coverage at the stations where biomass figures were unavailable is shown in Table 6, and the macroalgal standing stock (calculated from coverage figures, or directly measured) for all areas is shown in Table 7. With the exception of the Chlorophyta species, the macroalgal annual production was calculated from the size of the standing stock, multiplied with the P/B ratios derived from model simulations. The influence of the nutrient, light, and temperature limitation functions on the macroalgal growth rate is seen in Fig. 7. The estimated macroalgal yearly production is shown as production per m2 in Table 8 and as total figures for the respective sub-areas in Table 9. The total macroalgal yearly production in the Kattegat was found to be 119 106 kg C y1, and to reach 0.5 kg C m2 y1 in the most productive, shallow areas. In the 0–2 m depth segment of NE Kattegat, green macroalgae contributed with 315 g C m2 y1 on 30 km2 of sheltered areas, or 9.5 106 kg C y1 in all. The sensitivity of the P/B ratios and the annual production values to a 10% change in the values of six of the model variables is shown in Tables 10 and 11, respectively. The included variables were the Table 6 Macroalgal cover on suitable substrates, mean values (%) Depth interval (m) Jutland shelf Southern Kattegat Stations 18, 37 and 40, 41 0–2 2–4 4–8 8–15 100 98 94 87 78 96 99 82 95 90 100 72 All stations in E Kattegat except nos. 13, 30, 31 and 32 (Table 1) report biomass. Fig. 6. Map showing the areas in Kattegat that are suitable habitats for macroalgal growth. Table 5 Hard surface areas [km2] in Kattegat Depth interval (m) Jutland shelf Southern Kattegat Eastern Kattegat Total area 0–2 2–4 4–8 8–15 Total 8 13 305 574 900 2 6 49 97 154 43 37 62 242 384 53 56 416 913 1438 Table 7 Macroalgal standing stock, from calculated or measured values, in total figures for each area (1000 ton C) Depth interval (m) Jutland shelf Southern Kattegat Eastern Kattegat Total 0–2 2–4 4–8 8–15 Total 3.2 2.4 27 15 48 0.7 1.2 4.5 2.4 9 12.1 8.0 6.3 13 39 16 12 38 30 96 Calculated figures from stations 18, 37, 40 and 41 (Table 1) are included in the measured figures from E Kattegat. ARTICLE IN PRESS J. Öberg / Continental Shelf Research 26 (2006) 2415–2432 2425 Fig. 7. Modelled nutrient (thick solid line), light (thin solid line), and temperature (thin dotted line) limitation (shown as 5 days running mean) as expressed by the functions f1(N), f2(L), and f3(T), respectively, for: (a) Fucus spp. at the sea surface; (b) Polysiphonia spp. at the sea surface; (c) Laminaria spp. at 6 m depth; (d) Polysiphonia spp. at 6 m depth. Table 8 Annual production per unit area (g C m2 y1) Table 9 Annual production (1000 ton C y1) Depth interval (m) Jutland shelf Southern Kattegat Eastern Kattegat Depth interval (m) Jutland shelf Southern Kattegat Eastern Kattegat Total production 0–2 2–4 4–8 8–15 514 376 138 5 401 369 145 4 320 432 163 11 0–2 2–4 4–8 8–15 Total 4 5 42 3 54 1 2 7 0.4 10 26 16 10 3 55 31 23 59 6 119 half saturation constant, km, the maximum nutrient uptake rate, Vmax, the maximum growth rate, mmax, the water NO3 concentration, the irradiation, and the water temperature. The resulting shifts in the results were moderate, with a positive or negative response of usually about 5% for the tested variables. 4. Discussion This study is based on publicly available macroalgal monitoring data, combined with hydrographic and sediment structure data, and model computed macroalgal productivity. The accuracy of the estimations rely on that the monitoring stations are representative, that the choice of species is wellfounded, that the conversion of coverage to biomass is justified, that the hard bottom areas are correctly represented, and that the model parameters and estimations are realistic. The macroalgal monitoring programmes differ in the various parts of Kattegat. The NERI visits each station on an annual or bi-annual basis, whereas most of the Swedish efforts are less intense. The monitoring methods are however similar in all studies used for this study. The more than 200 species of macroalgae reported found in Kattegat since 1970 (Nielsen et al., 1995) makes it difficult to ARTICLE IN PRESS J. Öberg / Continental Shelf Research 26 (2006) 2415–2432 2426 Table 10 Relative sensitivity of the modelled P/B ratios to a 10% increase of selected variables Species ku Vmax mmax NO3 conc. Irradiation Temperature Ulva spp. Cladophora spp. F. serr. & F. ves. C. crispus F. lumbricalis C. nodulosum Polysiphonia spp. Laminaria spp. 0.96 0.99 0.94 0.94 0.94 0.93 0.98 0.95 1.05 1.00 1.06 1.07 1.06 1.05 1.02 1.05 1.06 1.11 1.07 1.07 1.08 1.06 1.14 1.07 1.04 1.02 1.06 1.07a 1.06 1.05 1.02 1.05 0.99 0.94 1.02 1.02 1.02 1.04 1.04 1.02 0.97 0.92 0.98 0.98 0.93 1.01 0.99 0.95 The simulations were made at a water depth of 4 m, except for Fucus, Ulva, and Cladophora (0 m), and Laminaria (8 m). The figures in the table were calculated as the ratio of a simulation with a 10% increase of a single variable and a simulation with standard values. Annual P/ B ratios were used for all species, except Ulva and Cladophora where daily growth rates were compared. For temperature, the 10% increase was made based on values in 1C. a Value refers to NH4 concentration. Table 11 Relative sensitivity of the annual production to a 10% increase of selected variables Depth ku (m) Vmax mmax NO3 conc. Irradiation Temperature 1 3 6 10 1.05 1.05 1.05 1.06 0.94 0.94 0.94 0.95 1.07 1.08 1.07 1.07 1.05 1.05 1.05 1.06 1.03 1.04 1.04 1.02 0.99 1.00 0.99 0.96 The individual entries in the table represent a situation with 100% coverage and species composition in conformity with Table 2. The calculation was made according to Rel:sens: ¼ 9 P ½ðT2z T4z T10var Þ=ðT2z T4z Þ where sp(1–9) is the macro- sp¼1 algal species from Ulva to Laminaria, T2z and T4z are entries from Table 2 and Table 4 at depth z, respectively, and T10var is entries from Table 10 for each variable var. represent all aspects of such a vast diversity through the only nine species chosen for this study. To include all occurring species in this calculation would however hardly be feasible. As the species composition is similar on both sides of the Kattegat (Nielsen et al., 1995), the general species distribution was assumed to be the same in all of Kattegat. The chosen nine species represent about three quarters of the total biomass measured at the monitoring stations. As both perennial and ephemeral species are included, reflecting the different production rates of these functional groups, the chosen species can be considered representative for the total macroalgal biomass in the Kattegat. The remaining species mostly belong to the same functional groups as the chosen species, and thus have similar growth and production characteristics. An unfavourable circumstance for the calculations is the lack of biomass figures at the Danish stations. The biomass versus coverage relation used is based on the simultaneous coverage and biomass figures given for the Swedish stations, but this does not necessarily imply that the relationship is correct for macroalgae in the western half of Kattegat. Different degrees of exposure could cause the macroalgae to vary in shape, and thus also in weight. Dahl et al. (2004) have shown that, on a central Kattegat stone reef, a fair relationship of biomass and coverage exists for Phycodrys rubens but not for Polysiphonia fucoides and Rhodomela confervoides. Although the biomass versus coverage plots shown in Fig. 4 also indicates that an elevated biomass corresponds to a higher coverage, they do not give a distinct support that a linear relation can be applied to all species. The linear relation was still deemed to be consistent with Fig. 4, and was used for all species in this study. Also, the biomasses set to match the 100% coverage (Table 2) are generally lower than what is indicated in Fig. 4. As the total measured biomass in each depth segment (Fig. 3) was not to be exceeded even for 100% coverage, the individual biomass figures in Table 2 were set to mirror the relative proportions only. Also, the mean values of the measured macroalgal cover on suitable substrates being between 72% and 100%, and indeed above 90% in seven of the 12 measurements, indicate that the determination of the total biomass is more important for the accuracy of ARTICLE IN PRESS J. Öberg / Continental Shelf Research 26 (2006) 2415–2432 the result than the linearity of the biomass versus coverage relations. Either of the environmental variables nutrients, light, or temperature, may limit the algal growth during various parts of the year. In contrast to production figures taken from field studies made in summer, the model calculations employed in this study expressively considers the influence of these growth limiting factors during all seasons. When interpreting production measurements made in high light conditions, i.e. in summer, the light saturation status of the macroalgae must be considered to ensure that correct results are reached (Wallentinus, 1978). Provided accurate and appropriate growth variables are at hand, model simulations may even be preferred before using production figures from short-term measurements. By using model calculations with local environmental forcing and growth parameters, an adequate interpretation of the limiting factors influence on the macroalgal growth throughout the year is distinctly possible. The primary responses of the nutrient, light, and temperature limitation functions (Fig. 7) are rather self-evident. The nutrient limitation is strongest in the main growth season, light is more limiting at depth than at the surface, and both low and high temperatures will adversely affect macroalgal growth. Less obvious is that although the limitation functions are normalised, each function may still limit the growth of an individual species throughout the year. Macroalgae growing at depth will be light limited even in the height of summer. At usual nutrient concentrations, species with high halfsaturation constants, km, will not be able to reach the maximum growth rate predicted by the model equations. Another interpretation to the latter observation is that species with high km will not be as adversely affected from lowered nutrient concentrations as the opportunistic species with low km values. The actual growth rate used in the model imposes simultaneous nutrient, light, and temperature limitation on the macroalgae. The growth rate (Appendix A, Eq. (4)) is given by the product of the maximum growth rate and three independent limiting functions, thus suggesting the response of the macroalgae to a change in, e.g. temperature to be independent to the status of the other limiting factors. An alternative option would be to only consider the most limiting factor at any given time, in which case the resulting growth rate would be higher. Another possibility is that the growth 2427 limiting factors interact to produce a greater reduction in the growth rate than suggested by their individual contributions. To reliably reproduce such potential interactions in the model equations would however stretch beyond the intent of the simple model used here. The outcome of the model runs thus originates from the adoption of simultaneous limitation functions, and from the quality of the forcing data and model parameters. The P/B ratios, derived from model simulations using literature values of growth parameters taken from several studies in various locations, are not exact figures as if taken from local in situ growth studies, but can anyway be seen as representative for a Kattegat location. Despite the seemingly heterogeneous selection of growth parameters (Table 3), a majority of these stem from Kattegat or adjoining waters, with most of the remainder taken from other temperate areas. There is thus reason to believe that the model simulations gave a fair representation of the annual production rates in Kattegat. The current formulation of the model is based on nitrogen alone. An expansion of the model equations to include phosphorus should increase the reliability of the model results, as local phosphorus limitation could act to decrease growth. The nutrient data used in the model simulations stem from open sea monitoring stations. Local runoff may give higher nutrient concentrations to certain coastal locations, thereby potentially increasing the macroalgal production. In addition to the model computed results, Table 4 also lists for comparison locally measured daily production figures from Nilsson and Oom (1988) regarding eight of the chosen species, and from Borum and Pedersen (1996) regarding four of these species. Nilsson and Oom (1988) measured the daily production by 25 species of macroalgae during the first half of July 1985 at Tjärnö Marine Biology Station on the Swedish Skagerrak coast. The report by Nilsson and Oom (1988) contains temperature and light data for the studied period, but unfortunately not any information about the nutrient levels in the water where the study was made. The nutrient situation at the time of observation can however be assumed to be at least satisfactory, because data from a nearby monitoring station in the Kosterfjord 1 show very high NO 3 values (4100 mg l ) on June 1 18, and 5 mg l remaining on July 11, 1985 (B. Rex, p. comm.). Borum and Pedersen (1996) made laboratory culture experiments on six macroalgal species collected in southern Kattegat, measuring ARTICLE IN PRESS 2428 J. Öberg / Continental Shelf Research 26 (2006) 2415–2432 the daily growth rates along with other variables. The modelled P/B ratios in this paper are not very high compared to the summer growth rates published in the two papers, but their relative order agree. Whereas the annual P/B ratios in this study all decrease with increasing depth, the summer situation, markedly influenced by photoinhibition, is clearly reflected in the July 1985 depth gradient experiments on four species by Nilsson and Oom (1988) as the production hardly decreased from the surface down to 5 m depth. Only further down to 10 m a slight reduction in production was seen. The sediment survey methods used and the few sediment classes defined imply that there is a certain variation within the sediment classes. With more detailed sediment information, some of the lag sediment areas (1419 km2 above 15 m depth) might be classified as unsuitable sediments, and some of the sand areas (5003 km2 above 15 m depth) as suitable. The lag sediments are mainly erosion areas with relatively hard bottoms, whereas the available data is insufficient to further divide the sand areas into erosion or accumulation bottom types (J.B. Jensen, p. comm.). Hence, the current estimate of the suitable area may be somewhat exaggerated, but there is also a distinct possibility that the area is understated. About two thirds of the suitable areas are in the deepest (8–15 m) interval, where light is often the main limiting factor. Less than 10% of the areas are located in the most productive zone above 4 m depth. The rocky shores found in the NE and SE parts of Kattegat offer ideal substrates for macroalgae, but the highest standing stock of the three areas was recorded on the Jutland shelf. Although the total amount of macroalgae in the eastern part of Kattegat was four fifths of that in the western part, the suitable area in the eastern part was less than half of that on the Jutland shelf. The depth distribution of the standing stock biomass also differs considerably between the two areas, reflecting the diverse sediment structures. Whereas the macroalgae on the Jutland shelf were almost exclusively found below 4 m depth, the eastern counterpart had a much more even distribution. On depths shallower than 4 m, nearly three quarters was found in the eastern part, while the Jutland shelf only harboured one fifth of the standing stock. Combined with the higher productivity on the shallower depths, this acted to even out the differences in production in the respective depth zones so that, except for the low production in the deepest zone, the total Kattegat macroalgal production was rather similar in the other three zones. The relative error in the above estimations is probably larger for the suitable areas and biomass measurements than for the macroalgal nutrient uptake as well as for the calculation of the P/B ratios and production. Should a more detailed sediment classification and a higher density of macroalgal biomass measurements be available, a more exact estimation of the macroalgal production in the Kattegat could be made. Kautsky and Kautsky (1995) have made measurements of the macroalgal biomass along the Swedish coast of the Baltic Sea, and have calculated the total annual macroalgal production in that area. The dominating species in the Baltic Sea are, as reported by Kautsky and Kautsky (1995), F. vesiculosus, F. lumbricalis, and in addition F. serratus in the south, whereas annual algae have 30% of the biomass. The total standing stock of macroalgae, according to Kautsky and Kautsky (1995), is 109 106 kg C on the Swedish side of the Baltic, which can be compared to the 34 106 kg C on the Swedish Kattegat coast or 95 106 kg C standing stock of macroalgae in all of Kattegat (Table 7). As for production, the figures to be compared are 565 106 kg C y1 on the Swedish Baltic coast, and 119 106 kg C y1 in the Kattegat. While the size of the standing stocks in the two seas are fairly similar, the production estimates are not. The macroalgal production estimates in Kautsky and Kautsky (1995) are based on literature values, corrected for irradiation but not for nutrient availability or temperature, whereas the production figures in this study come from full-year model simulations where both nutrient availability, and ambient light and temperature, have influenced the results. The three growth limitation functions used in the model simulations, each reduces the growth at a different time of the year. Thus, instead of a seasonal decrease in growth resulting from the application of a single restraint, the macroalgae in this study are subject to a persistent limitation throughout the year; nutrient availability limits growth in summer, access to light in winter, and low temperature in spring. The total production by macroalgae in Kattegat was above estimated to 0.12 109 kg C y1. For comparison, the current estimate of the pelagial production in Kattegat (Rydberg et al., 2006) of about 200 g C m2 y1 gives a total of 4 109 kg C y1. As the area available for the macro- ARTICLE IN PRESS J. Öberg / Continental Shelf Research 26 (2006) 2415–2432 algae is much smaller than the total surface area of Kattegat, the productivity per unit area is considerably higher than for plankton. Although the macroalgal share of the primary production could perhaps be disregarded in the context of the total marine primary production in Kattegat, it should be considered when discussing the production in the shallow areas where macroalgae grow. The benthic production also includes production by microalgae and rooted plants, further adding to its importance. This should be included in later studies. Acknowledgements Thanks are due to Anders Stigebrandt for constructive help throughout the work, to Inger Wallentinus for helpful comments on the manuscript, and to Karsten Dahl for preliminary data. My thanks also extend to three anonymous reviewers whose comments greatly aided to improve the manuscript. This work was in part financially supported by the Swedish Foundation for Strategic Research (MISTRA) through MARE—Marine research on eutrophication, and by the Faculty of Science at Göteborg University. Appendix A. A brief description of the macroalgal model This model describes the development of macroalgae through their nutrient uptake and growth capacity, limited by access to nutrients, light, and ambient temperature. The model (Öberg, 2005) was originally developed to simulate the growth of green algal mats in a shallow bay, but is here generalised to accommodate all the macroalgae in the current study, one at a time. This was made by including model variable values for all species in this study (Table 3), and by using values of ambient nutrient concentrations, light, and temperature measured locally in Kattegat. The model is set up as a box, with no horizontal resolution. A run with the current version of the model simulates, in time steps of one day, the development of one macroalgal species for an arbitrary time period. The development of the live algae is described by dB ¼ ðm OÞB, (1) dt where B (kg m2) is the amount of live macroalgae, m (day1) is the growth rate, and O (day1) is the 2429 loss rate. The assimilation of nutrients by the macroalgae is modelled in two steps, with nutrients first taken up into an internal nutrient pool before being used in the growth process. The internal storage of nutrients is modelled according to Droop (1968). Here, the rate of change of the internal pool is governed by dQ ¼ V mQ dt (2) with Q (mg N/g dw) the internal nitrogen quota of the algae, t time, and V (mmol h1 g1) the nitrogen uptake rate. The effective uptake rate V of nitrogen into the internal nutrient pool, Q (mg N/g dw) was formulated as V ¼ V max N Qmax Q , km þ N Qmax Qmin (3) where Vmax (mmol h1 g1) is the maximum nutrient uptake rate, km (mg l1) is the half-saturation constant for nitrogen uptake, and Qmax and Qmin the upper and lower limits of the pool size, respectively. The subsequent growth of the macroalgae is modified by the access to nutrients, light, and temperature so that the actual growth rate, m (day1), can be described by m ¼ mmax f 1 ðNÞf 2 ðLÞf 3 ðTÞ, (4) 1 where mmax (day ) is the maximum growth rate, N nutrients (NO3), L incident light, and T temperature, while f1–3 are the normalised functions of the limiting variables. The nutrient limitation function, f1(N), controls the transfer of nitrogen from the internal nutrient pool to algal growth through Q Qmin f 1 ðNÞ ¼ . (5) Qmax Qmin The uptake of nitrogen into the internal pool (Eq. (3)) is thus guided by Michaelis–Menten kinetics and by the nutrient status of the pool, while the growth is limited by the amount of nitrogen available in the pool. The light limitation function, f2(L), accounts for reduction of photosynthesis from low irradiation and from photoinhibition. This relationship was described by the following equation (Platt et al., 1980) P ¼ Ps ð1 ea Þeb R, (6) where P (mg C g dw1 h1) is the photosynthetic rate and Ps the maximum rate if there were no photoinhibition. Further, a ¼ aI=Ps and b ¼ bI=Ps ARTICLE IN PRESS 2430 J. Öberg / Continental Shelf Research 26 (2006) 2415–2432 where a (mg C g dw1 h1 mE1) is the photosynthetic efficiency, I (mE) the light intensity, b (mg C g dw1 h1 mE1) the photoinhibition parameter, and R (mg C g dw1 h1) is dark respiration. For each species, Eq. (6) was fitted to the respective values of R, the saturation point, Ik, and the maximum photosynthesis rate, Pmax. The measured surface irradiation, I0, was reduced to current depth values according to I z ¼ I 0 eK d z , (7) where Iz is the irradiation at depth z, and Kd is the attenuation coefficient (e.g. Kirk, 1994). In the model, zq (1%) ¼ 15.7 m as above, which corresponds to K d ¼ 0:293. The original version of the model (Öberg, 2005) assumes the photosynthetic yield to be converted to growth without any further losses, and this is also the case with the current model adaptation. The temperature limitation function, f3(T), was constructed by linear interpolation of literature values of growth rates at various temperatures for the different species, measured at 6–9 points in the interval 0–28 1C. The limiting functions, f13, were normalised with their respective maximum values, so that a value of 1 would mean an unrestricted growth (m ¼ mmax ). A zero value to any of the three functions would mean that no growth could take place. The model results were presented as daily macroalgal biomass densities for the duration of the simulation period. Values of other model variables, e.g. NO3 concentration, irradiation, and water temperature could also be extracted. References Aarup, T., 2002. Transparency of the North Sea and Baltic Sea— a Secchi depth data mining study. 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