Oceanogr., 41(4), 1996, 732-743 0 1996, by the American Society of Limnology and Oceanography, Inc. Limnol. Unbalanced particle flux budgets in Crater Lake, Oregon: Implications for edge effects and sediment focusing in lakes Jack Dymond, Robert Collier, and James McManus College of Oceanic and Atmospheric Sciences, Oregon State University, Corvallis 9733 1 Gary L. Larson College of Forestry, CPSU, Oregon State University, Corvallis 9733 1 Abstract Flux estimates show that upward mixing of the deep-water nitrate pool accounts for more than 85% of the total new nitrogen input to the euphotic zone of Crater Lake. Because measured primary productivity (360 mg C m-2 d-l) is lo-30 times higher than a level supported solely by the input of new nitrogen into the euphotic zone, nitrogen must be recycled in the euphotic zone many times before it is transferred by particles to the deep lake. Nitrogen recycling in the deep lake is also very efficient. Sediment trap measurements of particulate nitrogen fluxes reveal a major imbalance in our estimates of the lake’s internal nitrogen budget. We propose the imbalance reflects an “edge effect,” whereby enhanced biological production occurs near the lake margin and the shallower portions of the lake. Our measurements also reveal that Al, an element carried by refractory phases, is accumulating in basin sediments at a rate 15-30 times higher than the flux we measure with sediment traps. This diRerence is maintained by the near-bottom transport of lithogenic particles from the lake margins to the deep basins of the lake. These comparisons of nutrient and refractory element fluxes reflect two important lake processes- enhanced productivity at the lake margin that may be due to greater availability of macro- and micronutrients at the lake edges and focusing of particulate material into the deep lake basins. Crater Lake, Oregon, is a deep (590 m) lake formed by caldera collapse following the explosive eruption of Mt. Mazama, 6950 B.P. (Bacon and Lamphere 1990). The spectacularly steep caldera walls surrounding the lake result in a very small watershed. The lake surface accounts for 78% of the total watershed resulting in a system in which external flows of nutrients to the lake are low and dominated by precipitation and dry deposition from the atmosphere. These conditions contribute to the oligotrophic nature and exceptional clarity of the lake. Dissolved nitrate concentrations in the upper 200 m of the lake are co.05 PM throughout most of the year, while phosphate concentrations are relatively high and nearly uniform throughout the water column (see Fig. 4). Also, the lake is well oxygenated, with deep-lake oxygen contents > 300 PM (McManus et al. 1996). To characterize the nutrient cycles and particle fluxes in the lake, we consider a budget for nitrogen-the dominant factor limiting primary production. The first step in developing the nitrate budget is to evaluate the allocthonous (external) fluxes into and out of the lake system. These fluxes include nitrogen introduced to the lake through snow and dry deposition and nitrogen transferred out of the lake by seepage and permanent burial in the sediments. The second step is to describe an internal lake budget for the flow of nitrogen between the upper lake (< 200 m) and the deep lake. The upper lake is that portion of the water column that is well-mixed annually (McManus et al. 1993). We used moored sediment traps to estimate the vertical fluxes of particulate matter in the lake since 1983 and have determined the accumulation rates of nutrients in the sediments. We have also drawn together other data for fluxes and physical processes needed to complete the budget and demonstrate the remarkable efficiency of nitrogen recycling throughout the lake. In our discussion of the nitrogen cycle, we draw on a conceptual framework that distinguishes new and regenerated production from total primary production. This model has been extensively applied to marine systems (Dugdale and Goering 1967; Eppley and Peterson 1979; Platt et al. 1992) and more recently in oligotrophic lakes new production is that (Caraco et al. 1992). Qualitatively, portion of the total primary production supported by the input of nutrients from outside the euphotic zone. For Crater Lake, we consider the allocthonous sources plus the nitrogen upwelled from the nutrient reservoir of the deep lake as the new nutrients. At steady state, this must also be equal to the exportjlux of nitrogen, which includes sedimented particulate organic matter (POM) plus any downwelled dissolved nitrogen in the lake. The regenerated production is the balance of the total primary production that must be sustained by rapid recycling of nitrogen via heterotrophic regeneration processes in the up- Acknowledgments We are grateful to the Crater Lake National Park personnel who have given untold hours of their time for this project. The exceptional efforts of Mark Buktenica, John Salinas, and Scott Stonum are particularly appreciated. Geof Wheat provided porewater measurements. Sediment trap deployments and recoveries were coordinated and directed by Chris Moser. Bobbi Conard and Chi Meredith analyzed the sediment trap materials. The research was supported by a grant from the U.S. National Park Service. 732 733 Partic1eJlu.x in Crater Lake per lake. In the oceans, regenerated production exceeds new production by factors ranging from two to more than ten (Eppley and Peterson 1979). The conceptual framework for distinguishing new and regenerated primary production, which best applies to stable, oligotrophic ecosystems (Platt et al. 1992), is a useful descriptive model. However, attempts to set the parameters of the general relationships between new and total primary production (Eppley and Peterson 1979) are complicated by diverse ecosystem functions that control nutrient cycling. In this paper, we document the extensive recycling of nitr,ogen in Crater Lake but do not consider the specific processes or ecological relationships leading to these observations. In parallel with oligotrophic marine systems, the mw nitrogen in the lake is a very small fraction of the total nitrogen used in primary production. Our nutrient budget demonstrates that this new nitrogen is dominated by upwelled nutrients efficiently recycled from POM throughout the lake. 50m contours Methods ” 1 To define the nutrient budget, we use measurements of atmospheric sources of fixed nitrogen, analyses of watercolumn nitrate concentrations, sediment trap studies of particle fluxes, and estimates of the accumulation rate of nitrogen and oilher biogenic components in lake sediments. Most of’ our measurements and sampling have been done in the deepest part of the lake in the north basin (Fig. 1); however, sediment cores have been collected in other locations to define spatial variability in sediment accumulation. Wet and dry ‘bulk inputs of nitrate were derived from measurements of nitrogen in precipitation and runoff made over an 18-month period. Nitrate, phosphate, primary production ( 14C assimilation), and other limnological indices have been routinely measured as part of a lo-yr limnological study (Larson et al. 1993; McManus et al. 1996). Lake physics and vertical mixing rates have been discussed elsewhere (Collier et al, 199 1; McManus et al. 1992, 1993). Moored sediment traps were deployed in the lake from September 1983 to September 199 1 (Table 1). We used a conical trap based on a design by Soutar et al. (1977). The relatively steep cones (2 : 1 height to diameter) are equipped with a Hexcel baffle (l-cm opening by 5-cm depth) at the cone mouth to reduce turbulence and produce consistent collection under diverse current conditions. Traps are made of fiberglass and plastic to minimize the possibility of metal contamination of the samples. Comparison of this trap design with other cones and cylinders shows similar particle fluxes (Dymond et al. 198 1; Honjo et al. 1992). Measurements of 230Th fluxes suggest a collection efficiency of >80% (Mahannah 1984). Particles that enter the traps move downward through the relatively still water encompassed by the cone until they enter a sample cup at the base of the cone. For most deployments, the sample cup was a 45 x g-cm acrylic tube. The particulate materials accumulating within this single 2 ” 3 km 4 ” 5 6 Fig. 1. Bathymetric chart of Crater Lake. Location of sediment cores used to determine sedimentation rates and accumulation rates of nitrogen and aluminum in the three major basins of the lake-O; location of the sediment traps deployed in 1983-A; location of the sediment traps deployed between 1984 and 1991-D. tube represent the integrated flux of settling particles over the deployment period. Because of the inaccessibility of the lake during the heavy snow months, sediment trap moorings were deployed and recovered in July and September each year, thereby providing a 2-month deployment in summer and a lo-month deployment in winter. The sediment trap cups contained saturated sodium borate-buffered formaldehyde as a bactericide. The cup solutions had a pH of 8.5 and a formaldehyde concentration of 2%. For most years, sediment trap samples and flux estimates were made at three water depths: 200 m, 385 Table 1. Particulate C, N, and Al fluxes measured by sediment traps. Fluxes are determined by multiplying the total particulate mass flux times the total C, N, and Al contents. Values are for the trap located at a depth of 200 m (Dymond et al. 1993). Flux units are pg cm-2 yr-l. Date deployed 13 Sep 83 18 Sep 84 6 Sep 85 4 Sep 86 11 Sep 87 7 Sep 88 7 Sep 89 18 Sep 90 No. of days 369 361 361 370 361 363 367 363 c flux 35 70 142 29 108 147 55 67 N flux 4.0 10.9 19.6 3.7 14.5 14.8 7.7 7.4 Al flux 23 24 70 6 18 44 8 23 734 Dymond et al. m, and 10 m above the lake bottom. The trap mooring was deployed in the north basin at a depth of -590 m except during the first year, when it was deployed at 480-m water depth in the south basin (Fig. 1). Sediments were collected with a short gravity core that sampled the sediment-water interface without disturbance. This core uses a thin-walled acrylic tube as a core barrel and rubber-coated scoop closures that snap shut before the core is pulled from the sediment. The integrity of the sediment-water interface was indicated by the presence of a “fluff layer, rich in phytodetritus, recovered at the top of each core. The cores were placed in ice upon collection and later split in half and stored in sealed tubes at the Oregon State University core-storage repository at 3°C. Sediment trap samples and sediments were analyzed for total C, N, P, and Al. Carbon and nitrogen were measured with a CHN analyzer. Nutrients were determined with calorimetric methods described by Strickland and Parsons (1972) and modified for an Alpkem rapid flow autoanalyzer. Al was measured by instrumental neutron activation analysis. Sedimentation rates were measured in four cores that represent the principal basins of the lake and the large platform east of Wizard Island (Fig. 1). Using both 210Pband 14Cmeasurements of the sediments, we determined both the bioturbation rate and the rate of sedimentation at these sites (Dymond and Somayajulu unpubl. data). The settling particle fluxes and sediment accumulation fluxes were calculated by multiplying the concentration of each element in the trap or core sample by the total particle flux measured in sediment traps or the mass accumulation rates measured in cores. Carbon flux (pg cm- 2 yr’ ‘) 0 50 100 150 200 O- 200 3 & ‘t a 300 I I 400 500 600 Nitrogen 0 0 flux (pg cm- 2 yr’ ‘) 5 10 15 20 25 30 I I I I I I - 00 Results There is a fivefold variation in the annual particulate carbon and nitrogen fluxes over the 8-yr time series of sediment trap deployments (Table 1). Although our time series is too short to define an interannual pattern, the data show two cycles of increasing fluxes for 2 or 3 yr followed by a year of very low flux. Al fluxes vary by a factor of > 10 and show a pattern similar to those of C and N fluxes. Molar ratios of carbon to nitrogen vary between 7.5 and 11.6, values that fall within the range reported for phytodetritus measured in other lakes (Stabel 1985; Kilham 1990; Hecky et al. 1993). In general, the biogenic fluxes do not show consistent depth dependence (Fig. 2). In contrast, the Al fluxes (Fig. 2c) increase more rapidly and consistently with depth than do the fluxes of the biogenic components. Settling particles are primarily composed of materials derived from two major sources: biological production (organic matter with varying amounts of opal from diatoms) and lithogenic material eroded from the caldera walls or carried by winds from other continental sources. Mixing of these two sources accounts for most of the variability in composition observed in the sediment trap material (Dymond and Collier 1990). For the present discussion, total organic carbon is considered to be a proxy for all organic I - 0a 100 i I 600 Aluminum op ;o flux (pg cm- 2 yr’ ‘) 40 6;o 8,o 1po n fi: 200 3 2 300 600 Fig. 2. Particulate carbon, nitrogen, and aluminum flu.x measured with sediment traps at three depths. The data represents the average (+ la) of all the annual flux measurements for a given water depth. 735 Particle flux in Crater Lake Table 2. Percentages of total lake inputs accumulating in various lake areas. Values in parentheses indicate the extent of focusing implied by the percent of total accumulation divided by the percent of total lake area. A value of 1.0 indicates no focusing. Larger values indicate greater relative focusing. Area Wizard platform and intermediate depth areas South basin North basin % of total lake area Bulk accumulation rate* (mm yr-‘) 17 0.13 13(0.8) 3.5 22.6 0.94 0.47 21(6.0) 34(9.7) 66(2.9) 59(2.6) % of total accumulation N Al 7(0.4) *From Dymond and Somayaj ulu unpubl. data. matter and Al is used to represent the lithogenous fraction. Sedimentation rates defined by 210Pb show that the Wizard Platform (east of Wizard Island; Fig. l), a relatively flat region with depths between 250 and 350 m, has slower sedirnent accumulation than either of the deep basins (Table 2). Our 210Pb-derived sedimentation rate on the platform is within 20% of a previously determined 14C rate (Nelson et al. 1994). The south basin, which is somewhat more enclosed by steep caldera topography, has a sedimentation rate seven times greater than the platform and double that of the larger north basin (Table 2). Together, these sedimentation rates reveal the significance of sediment focusing, whereby particulate material is transported downslope and accumulates in the deep basins (Lehman 1975; Blais and Kalff 1995). Due to the observed variability in the burial rates between the two basins and the Wizard Island platform, it is difficult to integrate the accumulation of any component over the entire lake. Nonetheless, to provide a firstorder examination of the material budgets in the lake, we assume that our measured rates of south basin accumulation apply only to the part of the south basin deeper than 450 m. We also assume that the portions of the lake that are outside the south basin and deeper than 400 m have accumulation rates equivalent to the value measured in our north basin sediment core. Observations made from a submersible reveal that little sediment accumulates on steep slopes and at depths ~300 m (Collier et al. 199 1); thus, we assume there is no sediment accumulation on the very steep topography, most of which lies at depths ~300 m. Areas of the lake with depths between 300 and 400 m are assumed to accumulate sediment at the rate measured on Wizard Platform. We use this areal breakdown of accumulation rates and the measured concentrations of Al in the sediment cores from these areas to compute a total burial of 1.7 x lo8 g of Al each year in Crater Lake sediments. Of this, 34% is deposited in the south basin, 59% in the north and northwest basins, and only 7% on Wizard platform and the other intermediate depth areas (Table 2). This distribution of particulate lithogenous burial in the lake basins reveals a pattern of downslope transport. Flux evaluation and modeling Over appropriate time scales (-years), the allocthonous input of elements must be balanced by processes that remove them from the lake (Natheson 1990). This steady-state hypothesis requires that the sediment burial flux plus the output from seepage must equal the allocthonous inputs from the atmosphere and runoff from the caldera wall. The equation for this total lake balance is (1) El f Fr = Fb i- F,. F, is atmospheric input, F, the input from runoff, Fb the sediment burial rate of a given component, and F, the loss by seepage through the lake floor. Runoff and precipitation inputs of nitrogen can be estimated from measurements made over an 18month period of total dissolved nitrogen in precipitation. A volume-weighted estimate of the total N (TN) concentration in precipitation is 4.4 PM (Reilly et al. 1989). Ifwe assume that this concentration estimate applies for runoff as well as direct precipitation on the lake, the total exogeneous inputs of nitrogen can be computed from total water input, 1.3 1 x 10” liters yr-1 (Redmond 1990; Collier et al. 199 1). This results in an estimate of 5.8 x lo5 mol N yr-1 for the allochthonous inputs to the lake surface. Because 78% of the precipitation falls directly on the lake, differences between the nitrogen concentration in runoff and that measured in precipitation would not produce significant errors in our nitrogen budget. Seepage of nitrogen can be estimated from the hydrologic budget of the lake, which indicates that seepage accounts for 5 1% of the total water loss-the remainder is lost by evaporation (Redmond 1990). This amounts to a seepage loss of 6.8 x 1010liters yr-I. We have partitioned this loss according to the lake areas deeper and shallower than 200 m. Because 73% of the lake area is deeper than 200 m, we assume that 5.0~ lOlo liters yr-1 seep from the deep lake and that 1.8 x 1010 liters yr-1 are lost from the upper lake. Although we have no direct way of evaluating this partitioning, it is believed that most seepage occurs from deep within the lake (Redmond 1990) and that the specific distribution has little effect on the TN budget. The TN concentration of the upper lake is roughly 0.05 PM, resulting in a very small seepage loss (< 1O3mol yr-‘), whereas the deep lake has a seasonally averaged nitrogen content of - 1.O PM, resulting in a whole-lake loss of nitrogen of 0.5 x 1O5 mol yr-’ by seepage. We use measurements of TN in the cores and the same areal distribution of bulk sedimentation rate used for the Al budget (Table 2) to compute that 4.5 x 1O5 mol of nitrogen accumulate in the lake sediments each year. This calculation demonstrates that the deep basins, which account for 26% of the lake area, accumulate 87% of the nitrogen that accumulates in the sediments (Table 2). Intermediate depth areas, such as the Wizard Island plat- Dymond et al. 736 form and the Chaski slide area on the south side of the lake, comprise 17% of the lake and account for 13% of the buried nitrogen. The shallow areas and areas of steep topography account for 55% of the lake area but, as mentioned, accumulate little sediment and essentially no nitrogen. These estimates provide all the fluxes necessary to complete the whole-lake nitrogen budget described by Eq. 1. Comparing the nitrogen inputs (precipitation and runoff) to the outputs (seepage and burial) reveals a balance to within 15%: (precipitation Upper Lake _jc A Fp (0.4-0.5) v Fd (~0.001) Fu (2.0-4.0) v Fo, deep (0.05) Deep Lake + runoff) Fo, upper (<O.OOl) = (burial + seepage) t+ \(5.8 x lo5 mol yr-l) = (4.5 x lo5 + 0.5 x 105) mol yr-l. This budget shows that -90% of the nitrogen entering the lake .from precipitation and runoff is eventually buried in sediments; the rest is lost by seepage. Internal nitrogen cycling For Crater Lake, the sources of nutrients that can support new production are precipitation, runoff, and mixing of deep water with surface water. These sources can be formalized by expanding the one-box, whole-lake budget model (Eq. 1) to a two-box model that partitions the lake into a shallow, nitrogen-depleted euphotic zone (O-200 m) and a deep-lake reservoir (Fig. 3). The upper box receives a flux of nutrients from runoff (F,), the atmosphere (F,), and upward mixing of deep-lake water (FJ. Nutrients are removed from the upper lake by particle settling (F,), downward mixing of surface water (Fd), and ). The nutrient fluxes into the deep outflow seepage (FO,u,,,,er box (Fp and Fd) are balanced by upwelling (FJ, particle Over appropriate burial (Fb), and outflow seepage (Fo,deep). time scales, the system will be at steady state for the bioactive elements (the inputs will equal the outputs). The mass balance equation for the shallow box is Fa +- Fr + Fu = Kw.,pper+ Fd f Fp’ (2) whereas the steady state balance for the deep hypolimnion box is Fp + f-d = Fu + Fb + Fo,cieep. (3) These internal mass-balance equations can be combined with the whole-lake budgets to evaluate the relative significance of different physical processes, quantified as model parameters, on the particulate nitrogen fluxes. The sediment burial term, Fb, in the whole-lake N budget (Eq. 1) can be transformed by assuming that a fixed fraction of the particulate N (PN) that falls to the deep lake is buried and the rest is recycled into the dissolved nitrate pool of the deep lake (Broecker 197 1): Fb = cy x Fp where a is the fraction of nitrogen that is buried. Substituting into Eq. 1, (4) Fig. 3. Box model showing three reservoirs of organic matter and nutrients: upper lake (O-200 m), deep lake (>200 m), and sediments. Exchange of dissolved and particulate materials into the system and between the reservoirs are represented by the various flux arrows: F,-atmospheric inputs; F,-inputs from runop, F,-- nutrients transported by upward mixing of deep water; F,-flux from the upper lake by downward mixing; F,loss from the lake by seepagethrough the lake floor (Fo,u,,per is seepagelosses from the upper lake and Fo,de.pis seepagefrom the deep lake); Fp- nutrients removed from the upper lake by particle settling; Fb- sediment burial rate of a given nutrient. Our independent estimates of the individual fluxes of nitrogen, which we believe to be the limiting nutrient, are shown by values in parentheses (units of 1O6mol yr- l). Fa + Fr = a (Fp + F,). (5) We estimate the amount of particulate recycling, 1- 01, in the deep lake from comparison of sediment trap and sediment data. If we assume that our particulate Al estimate is conservative, differences between the N : Al values observed in deep sediment traps and surficial sediments will be due to nitrogen recycling. The ratio of N : Al values of deep traps with the N : Al in surficial sediments indicates that 79-90% of the nitrogen is recycled in the deep lake (Dymond and Collier 1990). This degree of recycling is equivalent to an a ranging from 0.1 to 0.2 1. To compare our model results to sediment trap measurements of PN flux, we solve for Fp: Because there is essentially no dissolved nitrogen in the upper lake (Fig. 4), seepage (Fo,upper) and downward mixing (Fd) account for a very Small fraction Of the nitrogen removal. As a result, the flux of PN (F,) should balance inputs from upward mixing (Fu) and allochthonous sources (F, + F,), and Eq. 2 simplifies to FP = F, i- F, + Fu. U) 737 Particle flux in Crater Lake o 0.0 Phosphate and Nitrate (PM) 0.5 1.0 1.5 r 6’ ---_ 200 8 A 300 P fi 400 600 Fig. 4. Dissolved nitrate and phosphate profiles for the north basin. Based on dissolved tritium measurements in Crater Lake, Simpson (1970) estimated that the lake mixes over time scales of l-2 yr. The oxygen budget of the deep lake requires a deep-water residence time of 2-3 yr (McManus 1992; McManus et al. 1993). Furthermore, recent measurements of clnlorofluorocarbon in the lake (Weiss unpubl.) suggest an average age of the deep waters (measured in 1989) of -2 yr (Collier et al. 1991). Therefore, the available data are consistent with a deep-water residence time of 2-4 yr (McManus et al. 1993). Because 47% of the lake volume is deeper than 200 m (8.1 x 1012 liters), this range in mixing rates would cause an annual exchange of 2.0-4.1 x lOI liters of upper and deep lake water. If there is a nitrat#e concentration of 1.O PM in the deep lake (Fig. 4), this would produce an upwelled flux of nitrogen to the upper lake of 2.0-4.1 x lo6 mol yr-l. Equations 6 and 7 place strong constraints on the particle flux, the internal and external N fluxes, and the extent of nitrogen recycled in the deep lake. Qualitatively, greater deep-lake nitrogen recycling (low a) requires greater PN fluxes. Likewise greater allochthonous and upwelling inputs of nitrogen to the euphotic zone must be balanced by greater particle fluxes. The steady-state model, however, further constrains the particle fluxes because only certain values are compatible with the observed concentrations of nitrogen in the upper and deep lake. In Fig. 5, we use the steady-state model (Eq. 6 and 7) to generate a field of value:s compatible with the best estimates of the allochthonous nitrogen fluxes, the observed nitrate distribution in the lake, and the estimated efficiency of nitrogen recycling in the deep lake. This figure provides a visual tool that emphasizes the importance of vertical mixing on particle flux. For example, if the deep-water residence time is between 2 and 4 yr, the extent of recycling must be > 84% (CU< 0.16). Also, with this mixing particulafe recycling nitrogen efficiency 1 m--m__---. i mixing +---Trap 0 500 _--_ 1 range of possible particle fluxes Measurements I 0 rates i I 2 4 Deep Water Residence I I 6 8 Time (years) 10 Fig. 5. The modeled relationship between deep-water residence time (vertical mixing rate) and the settling flux of PN. The relationship is derived from Eq: 6 and 7 by independently estimating values of the allochthonous nitrogen inputs (F, + F,.) and the deep-lake recycling fraction (1 - CV).The observed dissolved distribution of nitrogen is also imposed such that F, is determined from the seepagerate and F, is determined from vertical mixing rate. Setting this group of parameters to the most reasonable values (seetext) requires a PN flux out of the euphotic zone of 2.5-4.5 x lo6 mol yr-l -considerably greater than the 0.4 x lo6 mol yr- 1 collected by the sediment traps (shown by arrow on nitrogen axis). Solid line is the curve generated by assuming F, + F, = 0.44 x 1O6mol yr- 1 and the noted range of recycling efficiencies (79-90% or cx= 0.2 1-O.10). Stippled field includes the complete range of estimates for F, and F, that result from the full range of model parameter estimates. rate and (x = 0.1, the precipitation and runoff input of nitrogen must be somewhat smaller than our upper estimate of 5.8 x lo5 mol yr- l. Similarly, the annual PN flux for a deep-lake residence time of 2-4 yr must lie between 2.3 and 4.4 x lo6 mol, regardless of the extent of recycling or precipitation and runoff inputs. The annual N fluxes to the euphotic zone (Fig. 3) are 5-9 times greater than the sum of burial and seepage removals. This comparison implies that nitrogen atoms entering the euphotic zone are typically recycled in the deep lake and upwelled many times before being buried in the sediments or removed by seepage. Additional nutrient recycling is revealed by comparing our estimated input of nitrogen with the integrated primary productivity measured in the euphotic zone. Primary production in summer is - 360 mg C m-2 d-l (12-h day, avg since 1983; Larson et al. 1993). Using the C : N of our sediment trap material (7.5-l 1.6; Table l), our estimate of the total new nitrogen introduced to the euphotic zone could support new production that is only 3-9% of the total primary productivity of the lake. These calculations further demonstrate that nitrogen is efficiently recycled within the euphotic zone (as well as in the deep lake) and that regeneration supports a level of total primary production lo-30 times higher than could be sup- 738 Dymond et al. ported without recycling. This extent of nutrient recycling is much higher than that measured in many other lakes (Baines et al. 1994) and resembles the efficiency of recycling measured in the most oligotrophic areas of the ocean (Eppley and Peterson 1979). Comparison calculations of measured PN fluxes to model The average flux of PN measured in the 200-m traps is 10 pg cm-2 yr- l (Table II). Multiplying this value by the area of the lake (53.2 km2) results in the total PN flux for the lake: 5.3 x lo6 g yr-l or 3.8 x lo5 mol yr-l. Therefore, the sediment trap estimate of TN flux leaving the euphotic zone (through 200 m) is 2.5-10 times smaller than the flux required to balance the upper lake nitrogen budget (Figs. 3 and 5). This significant disagreement in flux estimates must be carefully considered because it may reflect errors in the direct measurements (traps, reservoir concentrations, mixing rates) or in the assumptions of the box models. Perhaps more significantly, this difference may indicate processes that we have not yet considered. First we will consider possible errors in the trap flux estimates that might account for the low nitrogen fluxes observed. The first question is whether the trap is collecting the vertical particle flux with 100% efficiency. Certain trap designs and hydrodynamic conditions can lead to under-trapping (Gardner 1980; Baker et al. 1988). However, the trap design we used has been shown to have an efficiency near 100% (Bacon et al. 1985); the identical cone design, deployed in the central Pacific, has been shown to be ~80% efficient based on 230Th collection inventories (Mahannah 1984). As shown by other studies, most of the collection artifacts are created by hydrodynamic effects around the traps in high-current environments that do not exist in the deep-water column of Crater Lake. Measured deep-water current speeds in the lake average - 1 cm s-l (McManus 1992)-well below speeds that might cause inefficient collection of particles (Gardner 1980; Baker et al. 1988). Therefore, it seems very unlikely that low trapping efficiency is the cause of discrepancies in the internal nitrogen budget. A related possible trapping artifact is the change in flux and particle composition that can result from substantial zooplankton activity in the trap cone or cup. The problem of “swimmers” is well known for ocean trap experiments (Lee et al. 1988) and may play a role in Crater Lake. Swimmer effects are more likely to be a problem in the shallow traps, which are at depths where zooplankton are more abundant. Zooplankton invaders can result in a decrease in the collected flux (mobile organisms feeding within the cone) or in an increased flux (swimming organisms are poisoned by formaldehyde in the trap cup). Most studies suggest that swimmers result in flux increases, not decreases (Silver and Gowing 199 1). Over the past few years, we have observed an increased number of chironomid larvae in the cups, which may be swimmers, but the overall chemical composition and systematics of flux with increasing depth suggests that swimmers are not a major problem. Another possible trapping artifact relates to the chemical preservation of the particles once they enter the tralp. Experiments show that formaldehyde is an effective particle preservative and that it eliminates ?significant microbial degradation (Lee et al. 1992). However, extremely labile organic fractions can become dissolved in the preservative solution after the particles enter the cup. Unless these solutions are carefully collected and analyzed as part of the sample, a significant fraction of the total flux can be lost. Furthermore, a small fraction of this loss diffuses out of the traps while they are still collecting and cannot be recovered. Because it is impossible to measure dissolved organic C (DOC) in formaldehyde, we have monitored this loss to solution indirectly by the analysis of dissolved P in the cup solution. This approach assumes a Redfield ratio of the soluble P to determine a worst estimate of the amount of total organic matter (TOM) lost to the cup solutions. The soluble P measurements indicate a potential soluble N release that averages 25% of the measured PN flux. Our experience with marine particulate matter suggests, however, that the loss predicted on the basis of P is an overestimate of the TOM lost, because P seems to be the most labile organic component. Therefore, our N fluxes are probably no more than 25% low on average, which would increase our estimate of the trap-defined fluxes to 0.5 x 1O6 mol N yr- l. Therefore, this process cannot account for the discrepancy in our nitrogen budget. The differences between the models and the trap flu.x observations could also result from errors in model parameters or structure. The upper 200 m of the lake are consistently depleted in dissolved nitrate (Larson et al. 1993), suggesting that all new inputs of nitrogen must be quantitatively removed by settling particles. Relatively high detection limits for ammonia and organic nitrogen analyses precluded our consideration of this reduced N pool as part of the budget. However, we were unable to detect any DOC above a blank of 1 PM and consider it very unlikely that a significant bioactive pool of reduced nitrogen exists in this extremely oligotrophic and wellloxygenated system. Therefore, we will examine the other parameters that make up the estimate of new nitrogen inputs- the allochthonous inputs and the vertical mixing flux from the hypolimnion. Although the estimate for the primary source of nitrogen to the whole-lake system (atmospheric input and runoff) is based on just an 18-month record of precipitation compositions and monthly precipitation records, this term is < 15% of the upper lake budget. Therefore, even errors greater than the factor-of-two range used in Fig. 5 and shown in Fig. 3 would not produce a balance between model and trap measurements. The extent of particle recycling has a significant impact on the range of possible particle fluxes that are compatible with observed distributions of lake nitrogen (Fig. 5). However, the model shows that for a deep-water residence time of 2-4 yr the fraction of nitrogen recycled must lie between 85 and 90%. Therefore, it seems unlikely that the extent of recycling can lie outside the range indicated by a comparison of N : Al values in the sediments and sediment trap materials (79-90%). This range is also Particle flux in Crater Lake compatible with our independent estimate for the burial rate of nitrogen in the whole lake. If we assume that only lo-20% of the nitrogen carried by particle settling is buried, we can use our estimated burial rate of nitrogen (0.45 x lo6 mol N yr-l) and Eq. 4 to define the particulate flux of N: 0.45 x lo6 mol N yr-l 0.1-01.2 739 Nitrate (PM) 2.0 +c----‘-_r’--- 4.0 ’ 3.0 ---- 1, = 2.3-4.6 x lo6 mol N yr-l. This estimate is 5-9 times higher than the PN flux measured with sediment traps, but it matches our estimates of total fluxes to the upper lake (Fig. 3). A burial rate of 0.45 x lo6 mol N yr-l could be compatible with our sediment trap N flulies only if 90% of the PN flux were buried. Such high preslervation is incompatible with measured N : Al values in sediments and deep traps (Dymond and Collier 1990) and is simply counterintuitive. The vertical rnixing flux is computed from the product of the average deep-lake nitrate concentration (- 1 PM, Larson et al. 19!23) and the vertical mixing rate. Although the mixing rate is perhaps the most indirect and modeldependent estimate used, it has been independently derived from various tracers, including the rate of oxygen consumption and ventilation in the deep lake (McManus et al. 1993) as well as the observed penetration of surfacederived tritium (Simpson 1970) and freon (Weiss unpubl.). These estimates, which range between 1 and 3 yr for the average ventilation age of the deep lake, are supported by a set lof limnologically consistent observations related to the rates of hydrothermal processes (Collier et al. 199 1). Therefore, this parameter seems to be well constrained and supports the model calculation for the introduction of new nitrogen from the deep lake. Note, however, that the residence time determined by McManus et al. (1’293) and that determined by Weiss (unpubl.) were both derived during the same year; thus further estimates will be required to better refine any interannual variability in deep-water residence time. Although the model-based estimates of PN flux depend strongly on ventilation rates (Fig. 5), even a deep-water residence time of 10 yr (Fig. 5) is not consistent with the PN fluxes measured with sediment traps. Because of the oligotrophic nature of Crater Lake, we have assumed that denitrification has no significant impact on the nitrogen budget, but given the mismatch between PN fluxes measured by sediment traps and the estimates of nitrate input to the upper lake, we must evaluate this prclcess as well. Oxygen contents of the water column are always ~300 PM. These high concentrations are incompatible with denitrification in the water column. In addition, sediment pore-water measurements reveal that denitrification occurs only below lo-cm depth in the sediments (Fig. 15),indicating that sediments cannot be a major sink for nitrate in the lake. Although areas of the lake with hydrothermal venting through the sediments or higher deposition rates do have less oxic sediments that could be sinks lor nitrate, McManus et al. (1996) concluded that the area of the lake floor influenced by hydrothermal activity is too small to contribute significantly to either the dissolved oxygen or the nitrate budgets. Rough - C+ - north basin -* - Wizard Island platform i Fig. 6. Dissolved nitrate profiles in sediment pore waters from two sites. The Wizard Island platform is at a depth of -300 m. The lower sedimentation rate at this site (Table 2) results in more oxic sediments that do not achieve denitrification above a depth of 10 cm. The north basin site has a higher sedimentation rate (Table 2). The less oxic conditions here indicate some denitrification by 10 cm. This core is more representative of average conditions in the deep lake than is the Wizard Island core. estimates based on expected nitrate gradients, estimated diffusion coefficients (Berner 1980), and areal distribution of higher sedimentation rates suggest that the potential loss due to denitrification is CO.2 x 1O5 mol yr- l. This value is small compared to the TN budget. Moreover, the mismatch in the N budget requires an additional sink for the upper 200 m of the lake. Because this part of the lake is essentially barren of sediments and well oxygenated, denitrification cannot be a sink for nitrogen introduced into the upper lake. It is also instructive to apply our N-budgeting approach to P. Phosphorus is not strongly depleted in the surface lake and is probably not limiting to primary production. Although we do not have as much sediment trap flux data for this nutrient (Dymond et al. 1993), we can still apply the same box model used for N. The lake surface is depleted in dissolved P with respect to the deep lake by -0.1 PM. Given our estimate of the vertical mixing rate, this difference results in an average vertical flux of 24X lo5 mol P yr- l. The estimates of allochthonous P inputs (Reilly et al. 1989) add -0.6 x lo5 mol P yr-l. The sum of the upwelled and allochthonous sources (2.64.6 x lo5 mol P yr-l) must equal the particulate P flux. A representative trap flux is roughly 2 x 1O4 mol P yr-l and N : P ranging from 10 : 1 to 20 : 1. As was the case for N, this measured flux is - 10% of that required by the observed distribution of dissolved P (box model result). This additional mismatch lends further support to the argument that the traps undersample all components of the settling POM. It also provides confirmation that denitrification is not an explanation for the missing nitrogen revealed in our budgeting. Although Al in lake sediments has a very different source than either N or P (lithogenic rather than biogenic), a comparison between the sediment trap and burial fluxes 740 Dymond et al. of Al helps characterize lake sedimentation processes. Because of the low aqueous solubility and the association with refractive minerals, we would expect that nearly all of the particulate Al reaching the lake will become part of the sediment record. This expectation is supported by observations that sediment trap fluxes and burial rates of Al in the ocean show good agreement (Dymond and Lyle 1985, 1994). We used the sedimentation rate (0.94 mm yr-l), dry bulk density of the sediment (0.23 g cm-3, and Al concentration (7.90 %) measured for the north basin sediment core to calculate an Al burial rate of 850 pg cm-2 yr-1 near the sediment trap mooring site. In contrast, the average Al flux estimated from the particulate flux measured at 200 m during the 8 yr of sediment trap deployments is 27 hg cm-2 yr-l (Table 1). Thus, there is a factor of 30 mismatch between trap and burial fluxes of Al. The lake margin is the predominant source of Al-bearing particles, and sediment focusing processes can move Al-bearing particles from the lake edges, down the caldera walls, and toward the center of the basins, thus creating horizontal and vertical gradients in particle flux. The Al flux in our deep-moored trap (10 m above bottom) is higher than that measured at 200 m, although the difference averages a factor of only two (Fig. 2~). Therefore, if focusing of caldera wall material is to account for the mismatch between particulate Al flux and Al burial, the downslope transport must primarily occur in the bottom 10 m of the lake (i.e. the distance of the deep trap to the lake floor). Alternatively, the Al flux mismatch may be due to intermittent sedimentation processes such as turbidite deposition that could dominate the long-term sediment accumulation but do not occur frequently enough to be sampled during the 8 yr of our measurements. We do not see sand layers in the central lake sediment core that suggest deposition there is predominately through turbidity currents; however, we cannot rule out the possibility that the central lake is a site of distal turbidite input. Comparison between the inventory of 210Pbin the north basin core and the flux of 210Pb measured in the sediment traps provides another revealing comparison. Because Pb is a particle-reactive element and behaves conservatively in sediments (Moore and Dymond 1988), we expect the input of 210Pb required to support the inventory of this isotope in the sediments to match the flux measured in the sediment traps. Our measurements, however, show that this is not the case. Measurement of the 210Pb sedimenttrapfluxesare0.23+0.10dpmcm-2yr-1 (Dymond and Somayajulu unpubl. data) -a factor of - 4 lower than the 0.98 dpm cm-2 yr- l of 210Pbinput required to support the inventory measured in the core from our central lake site. Unlike Al, 210Pb is predominately atmospheric in origin and should have roughly the same input for all areas of the lake. The mismatch between trap flux and burial- smaller than that of Al-can be explained by sediment focusing processes. There is also roughly double the inventory of 210Pb in our deep basin cores than in the Wizard Island platform core (Dymond and Somayajulu unpubl. data) -a further indication of sediment focusing. All our results suggest a process that transfers POM to the deep lake without interception by midlake traps. The process is reflected in the internal lake N and P mismatch as well as an imbalance between the observed rate of oxygen consumption in the deep lake (McManus et ad. 1996) and the flux of organic carbon measured by the traps. Oxygen consumption in the deep lake, which must be supported by a steady supply of organic matter from the euphotic zone, is 4-10 times larger than supported by measured trap fluxes. Likewise, Al and 210Pb, although of different sources, must be transferred to the sediments without being intercepted by either the upper or the deep traps. Although the budgets for all components of the flux are unbalanced, the differences in the sizes of the observed mismatches may indicate both distinct sources of the different components and lake processes. Significance of lake margins in the nitrogen budget We hypothesize that edge-effects support significant production that is not collected by the traps and that the resulting particulate flux is focused into the deep basins where it is remineralized, thereby consuming oxygen and regenerating nitrate. Sediment focusing processes have received extensive attention within the limnologic literature (e.g. Lehman 1975; Blais and Kalff 1995). If production is horizontally homogeneous, however, sediment focusing alone cannot account for the nitrogen budget problems we have identified. Because only 27% of the lake area has depths ~200 m, particulate C and N, which settle in this zone and are transported along the bottom to the deep basins, could only produce a comparable 27% error in predicted settling flux. There must be both greater production and greater particulate export of carbon and nutrients along the margins of the lake for this process to account for our estimated flux mismatch. If this is the case, it may imply that deep-lake mixing-the dominant source of N to the upper lake-does not result in an areally uniform input of new nitrogen to the euphotic zone. Depending on the assumed lake ventilation rate, external sources and deep mixing introduce 2- 10 times more N to the upper lake than we measured with central lake sediment traps. The edge-effect calls for an equivalent higher new production at the lake margins. The hypothesis suggests that most of the upward mixing of nutrients, perhaps > 80%, takes place at the edges due to enhanced mixing or convective exchange through thermobaric instability or cabbeling (McDougal 1987; Carmack and Weiss 199 1; Crawford and Collier in prep.). Alternativel.y, nutrient upwelling could be relatively uniform across tlhe basin, but physical conditions, enhanced micronutrients (such as Fe), or the presence of substrates along the caldera wall provide conditions conducive to higher production. In this scenario, upwelled nutrients must be transported to the sides of the caldera, where the production occurs. Perhaps production by periphyton and mosses attached to the walls of the caldera are important in the overall nutrient and carbon budget. These plants have been shown to account for the dominant fraction of the productivity Particle Jlux in Crater Lake in the littoral zone of Lake Tahoe and Crater Lake (Loeb et al. 1983). However, much of the littoral periphyton productivity in these lakes is due to N-fixing species (Loeb and Reuter 198 1) and would not be a major sink for new nitrogen. Crater Lake, with its steep subaqueous caldera walls and great clarity, is perhaps highly suitable for substantial growth of attached macrophytes to great depths. At water depths ~60 m, N-fixing species are not significant (S. Loeb pers. comm.). Transects to define the plant growth on the caldera wall were made with a manned submersible (Collier et al. 199 1) in 1988 and 1989. Although these plants were most abundant between 30 and 80 m, moss was also collected and observed at depths > 100 m (McIntire et al. 1993). Detrital patches of moss were observed as deep as 545 m, and clumps of moss are common in sediment cores collected in the deep basin. These deep occurrences of moss indicate that macrophytes become detached from the rocks and move downslope, where they decompose in the deep lake or are buried in the sediments. Although the growth and transport of these plants is apparent, it is difficult to quantify their impact on the overall nutrient cycle of the lake. If the new production in the lake and resulting POM settling is 2-10 times greater than that measured by central lake sediment traps, it is unclear whether the observed variations in trap-based C and N fluxes reveal anything about whole-lake productivity variations. Because our edge-effect hypothesis implies that most of the biological activity occurs :in the shallow areas around Wizard Island and elsewhere along the caldera walls, the variability in central lake seldiment trap fluxes may be only weakly linked to the predominate biological activity at the margins. We have measured a factor of five variability in annually averaged particulate C and N during the period between 1983 and 199 1 (Table 1). It is possible that this interannual variability reflects variable horizontal transport away frorn lake margins to central lake traps by storms or processes other than nutrient dynamics. Alternatively, the variability may indicate that interannual differences in the upward mixing of deep-lake nutrients influences both the margins and the central lake areas. If this is the case, sediment trap measurements, although not absolute measures of whole-lake productivity, serve as relative indicators of interannual biological production. Future studies, which define the horizontal gradients in total primary production and link independent measures of the ext’ent of annual deep-lake mixing with measured particle fluxes, could lead to a much clearer definition of these important lake processes and budgets. The comparison between the mismatch of Al trap and burial fluxes also supports the edge-effect hypothesis. Although the lake edge is the unequivocal source for most of the Al reaching the lake basin, 15-30 times more Al accumulates in the basin sediments than we collect in our sediment traps. Thus, there is little doubt that some particulate material is transported from the lake edge to the central lake floor without being intercepted by sediment traps. Furthermore, measurements of 210Pb, which has an atmospheric source and therefore an areally homogeneous input, also reveals a mismatch between burial 741 and trap fluxes, but the discrepancy is significantly smaller-a factor of four. Despite the uniform input of 210Pb to the lake surface, the removal process may also be linked to edge effects. Ocean studies reveal that scavenging by organic matter is the primary removal process for 210Pb (Moore and Dymond 1988). If the lake edges dominate the biological fluxes as we hypothesize, these sites could also be the predominate loci for 210Pb removal. In other words 210Pb enters the lake uniformly over the surface but is advected to the edges where it is removed by scavenging on setting POM. This edge effect has been described in the oceans as boundary scavenging (Bacon 1988; Lao et al. 1992). Conclusions We cannot unequivocally define the source of the mismatch in the internal nitrogen cycle for Crater Lake. The agreement in the budgets of nitrogen, phosphorus, and oxygen suggest this discrepancy does not result from errors in any of our measurements or flux estimates but rather is a consequence of important, undocumented lake processes. Although the differential accumulation of Al and 210Pb in sediments from different lake depths provides strong evidence for sediment focusing, this process alone cannot account for the mismatch we have defined for biological components of the particulate flux. Only if focusing is combined with enhanced productivity near the caldera walls and in the shallow regions around Wizard Island, could this process produce the discrepancy we observed between sediment trap fluxes and nutrient inputs to the euphotic zone. This enhanced productivity may reflect the importance of phenomena such as sieching, edge waves, or general enhancement of turbulence at the margins of the lake. Alternatively, enhanced lake margin productivity may be caused by greater availability of micronutrients, the presence of substrates, or other poorly understood factors. 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