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Comment Limnol. Oceanogr., 33(5), 1988, 1217-1220 0 1988, by the American Society of Limnology and Oceanography, 1217 Inc. On the limits to secondary production In closing their important study of bacterial dynamics in Lake Michigan, Scavia and Laird ( 198 7) compared annual bacterial carbon demands to autotrophic production and concluded that (p. 10 17) “bacterial carbon demand is met by autotrophic production only if little of the latter is lost by other means.” The bases for this conclusion were their measurements of primary production and bacterial production (which showed that bacterial production was 63% of primary production), their assumption that bacterial growth efficiency was about 60% (which would then imply that bacterial carbon demand was slightly greater than primary production), and their statement that (p. 1030) “bacterial demand must be lower than autotrophic production.” This last statement is not true, and reflects a widely overlooked property of secondary production. In this comment, I explore briefly the limits on secondary production (which includes the production of heterotrophic bacteria as well as that of heterotrophic eucaryotes) and reanalyze the data of Scavia and Laird. Although it is true that the summed respiration of consumers cannot exceed the organic inputs to an ecosystem, summed carbon demand (i.e. assimilation) and summed production of consumers both may easily exceed the organic inputs to the ecosystem. This counterintuitive situation arises because organic carbon is recycled (albeit inefficiently) by consumers. Consider an ecosystem that receives organic inputs of 100 g of C and which is populated by consumers with a growth efficiency (i.e. production/assimilation) of 60% (Fig. 1). After all of the inputs have been assimilated by consumers, 40 g of C is lost in respiration and 60 g Acknowledgments A contribution to the program of the Institute of Ecosystem Studies of The New York Botanical Garden. I thank N. Caraco, J. Cole, S. Findlay, G. Likens, G. McManus, M. Pace, B. Peierls, and D. Scavia for helpful discussions. remains to be reassimilated by consumers. When this tissue is reassimilated, it supports a further secondary production of 36 g of C, which supports a subsequent secondary production of 2 1.6 g, and so on. By the time the entire 100 g of C has been respired, a total secondary production of 150 g will have occurred. The summed carbon demand of these consumers will have been 150/0.6 = 250 g of C. Both secondary production and consumer carbon demand are thus much greater than organic inputs in this system. More generally, the total secondary production (P) and consumer carbon demand (D) of an ecosystem can be calculated by knowing the magnitude of inputs (I) to and losses (L, from the ecosystem of interest, along with the growth efficiency (G) of the consumers in the system. All organic matter that enters an ecosystem and does not leave it must be destroyed by respiration (R). Thus R=I-L. By definition G=P Combining that P+R’ these two relationships, P= &$I we find - u and D=- I-L 1-G’ Note that G is expressed as a proportion, rather than a percentage, Z includes both autochthonous production and allochthonous inputs, and L includes all nonrespiratory losses (e.g. burial, fluvial outflow). Although these equations refer to an ecosystem in steady state, it is simple to add a storage term to the equations if standing stocks of organic matter in the system are changing. Comment 1218 a 3 consumer 0 P=36 R=24+f-i 2 consumer 0 P=60 R=40ll 1 consumer 4 0 I=I00 Fig. 1. Schematic diagram of carbon flow through a consumer community with a growth efficiency of 60% that receives inputs (I) of 100 g of C. Numbers of arrows show production (P) and respiration (R) associated with each cycle of assimilation, in units of g of C (see text). Several interesting points arise from an analysis of the summed production and carbon demand of the consumer community as a function of the retentiveness of the ecosystem and the growth efficiency of consumers (Fig. 2a, b). The conditions for secondary production to exceed organic inputs are fairly stringent, but likely to be met in some retentive ecosystems, such as large lakes or the open ocean. Secondary production is large relative to organic inputs in many ecosystems. As a consequence, the food available to consumers (including bacteria) is not overwhelmingly dominated by plant material, but consists of a fairly even mix of plant tissue and consumer tissue. Because secondary production can be calculated from a knowledge of organic inputs and losses from the ecosystem and the growth efficiency of consumers, this estimate of secondary production can be used as a rough check on the adequacy of direct estimates of secondary production (e.g. Table 1). However, in doing so it is important to keep in mind that consumer growth efficiencies can vary widely (e.g. Humphreys 1979; Schroeder 198 1) and are not always known accurately. Conversely, if one has good direct estimates of secondary production, one can back-calculate the effective C c Retentiveness P/O) Fig. 2. Some energetic properties of the consumer community as a function of consumer growth efficiency (G) and retentiveness [(inputs - nonrespiratory losses)/inputs] of the ecosystem: a- secondary production (expressed as a percentage of organic inputs); b-consumer carbon demand (expressed as a percentage of organic inputs); c-minimum number of cycles of assimilation by consumers. growth efficiency munity. of the consumer com- P C= ” (I - L + P) For example, the growth efficiency implied Comment Table 1. Secondary production in Mirror Lake, New Hampshire. Data from Jordan et al. (1985), modified by Strayer and Likens (1986). Secondary production (g C m-* yr-‘) Direct estimate Pelagic bacteria Benthic bacteria Metazoan plankton Metazoan benthos Fish Total direct estimate 6 10.5 2.5 6 0.2 25.2 Indirect estimate Organic inputs Nonrespiratory losses Assumed growth efficiency Summed secondary production 60 24.9 0.5* 35 * From Humphreys 1979, Schroeder 1219 Table 2. Partial organic carbon budgets for nearshore Lake Michigan: annual- the entire nearshore ecosystem on an annual basis; summer-the epilimnion in summer. Based on data from Fahnenstiel and Scavia (1987) Scavia and Fahnenstiel(l987) and Scavia and Laird (1987). Annual 198 1, and Jordan 1985. by the data from Mirror Lake (Table 1) is 4 1% (only a very approximate estimate in this case due to uncertainties in measuring benthic production). Before moving on to the data from Lake Michigan, it may be useful to introduce one more parameter that is implicit in this analysis: the minimum number of cycles of assimilation by consumers needed to destroy the organic matter that was brought into or produced autotrophically in the ecosystem. The amount of organic matter that remains in an ecosystem after n cycles of assimilation is ZGn, assuming that all organic inputs are available to consumers. This term must equal the nonrespiratory losses from the ecosystem. As a result, If some organic inputs are unavailable to consumers (e.g. if they are exported before they can be used), then the actual number of cycles of assimilation will be >n. Note that n is not the same as the average number of cycles made by an atom of organic carbon as it passes through the ecosystem, because less and less carbon participates in each succeeding cycle of assimilation. The distribution of n as a function of consumer growth efficiency and ecosystem retentiveness is shown in Fig. 2c. Considering first the annual carbon budget of the entire nearshore ecosystem of Lake Michigan, my reanalysis of the data of Sca- Summer (g C mm2 yr-‘) Inputs Nonrespiratory losses Growth efficiency Summed secondary production Pelagic bacterial production Carbon demand by all consumers Carbon demand by pelagic bacteria Minimum cycles of assimilation 232 8 0.6 336 142 560 29.4 9.4 0.6 30.1 26.3 50.1 224 6.6 43.8 2.2 via and Laird (Table 2) supports the following conclusions. Secondary production of consumers in Lake Michigan is higher (1.45 x ) than organic inputs. Even if one assumes that the eucaryotic consumers have a lower growth efficiency than the bacterial consumers, pelagic bacterial production accounts for roughly half of the secondary production in the lake. The fact that most or all of the primary production passes through the pelagic bacteria does not imply that other consumers are unimportant. Carbon available for assimilation by consumers in Lake Michigan is much greater (2.4 X) than organic inputs to the lake and much more than adequate to support the bacterial demands calculated by Scavia and Laird. There is considerable reassimilation of organic carbon in Lake Michigan: at least six to seven cycles of assimilation by consumers must take place to respire the necessary 224 g C m-2 yr- l, assuming a 60% growth efficiency. Table 2 also includes a partial carbon budget for the epilimnion in summer, a season for which Scavia and Laird reported the apparently problematic situation of bacterial production being equal to primary production. My reanalysis shows, however, that there are ample inputs of organic carbon to support contemporaneous bacterial production, even in this situation. Thus, budgetary considerations provide weak evidence at best for “temporal disequilibrium” in Lake Michigan. These recalculations change the picture of the pelagic ecosystem of Lake Michigan from one in which autotrophic carbon is barely Comment 1220 sufficient to meet bacterial needs (let alone the needs of other consumers) to one in which bacterial needs are very much less than available carbon, thereby solving the budgetary problems discussed in the closing paragraphs of Scavia and Laird’s paper. Similarly, an explicit consideration of the recycling of organic carbon by consumers may help to explain apparently excessive demands of consumers in other ecosystems, especially retentive systems such as the open ocean. David Strayer Institute of Ecosystem Studies The New York Botanical Garden Box AB Millbrook 12545 References FAHNJZNSTIEL,G. L., AND D. SCAVIA. 1987. Dynamics of Lake Michigan phytoplankton: Primary pro- Limnol. Oceanogr., 33(5), 1988, 1220-1224 0 1988, by the American Society of Limnology and Oceanography, duction and growth. Can. J. Fish. Aquat. Sci. 44: 499-508. HUMPHREYS, W. F. 1979. Production in animal populations. J. Anim. and respiration Ecol. 48: 427- 453. JORDAN, M. J. 1985. Bacteria, p. 246-250. In G. E. Likens [ed.], An ecosystem approach to aquatic ecology: Mirror Lake and its environment. Springer. -,G. E. LIKENS,AND B.J. PETERSON. 1985. Organic carbon budget, p. 292-30 1. In G. E. Likens [ed.], An ecosystem approach to aquatic ecology: Mirror Lake and its environment. Springer. SCAVIA, D., ANDG. L. FAHNENSTIEL. 1987. Dynamics of Lake Michigan phytoplankton: Mechanisms controlling epilimnetic communities. J. Great Lakes Res. 13: 103-120. AND G. A. LAIRD. 1987. Bacterioplankton in Lai<e Michigan: Dynamics, controls, and significance to carbon flux. Limnol. Oceanogr. 32: 10 171033. SCHROEDER, L. A. 198 1. Consumer growth efficiencies: Their limits and relationships to ecological energetics. J. Theor. Biol. 93: 805-828. STRAYER, D., AND G. E. LIKENS. 1986. An energy budget for the zoobenthos of Mirror Lake, New Hampshire. Ecology 67: 303-3 13. Inc. On the role of bacteria in secondary production Our recent work on the role of heterotrophic bacterioplankton in Lake Michigan (Scavia et al. 1986; Scavia and Laird 1987) has led to the assertion that bacterial secondary production is high relative to autotrophic primary production. We found that annual areal bacterial carbon demand was about equal to that supplied through phytoplankton net production; in the summer epilimnion, however, that demand was much greater than contemporary phytoplankton supply. We concluded our second paper with two uncomfortable observations. First, because bacterial carbon demand was approximately equal to organic carbon supply, carbon demand by consumers, other than bacteria, could not be met by phytoplankton production (or the Acknowledgments GLERL Contribution 622. I thank H. Ducklow, G. Fahnenstiel, G. Laird, and H. Vanderploeg for reading an earlier draft of this manuscript. estimates of phytoplankton and/or bacterial production were wrong). Second, bacterial carbon demand that was greater than phytoplankton supply in the summer epilimnion suggested a temporal disequilibrium, where bacterial summer demand is met partially by winter and spring algal production. Strayer’s ( 1988) reanalysis of our data sheds important light on the commonly assumed restriction that secondary consumption must be equal to or less than primary production. He demonstrates that because organic carbon can cycle within the food web, this restriction is false. I agree with his reassessment and recognize that, because of this relaxed and more appropriate limit to secondary production, our first uncomfortable observation is more acceptable. This reanalysis is important because highly retentive, autotrophically driven Lake Michigan certainly supports a rich and productive array of secondary consumers in addition to bacteria. It is also important for other large systems. Recent reports of very