Limnol. Oceanogr., 39(7), 1994, 1594-1605 0 1994, by the American Society of Limnology and Oceanography, Inc. Processescontrolling recruitment of the marine Calanoid copepod Temora Zortgicoks in Long Island Sound: Egg production, egg mortality, and cohort survival rates William T. Peterson NOAA, National Marine Fisheries Service, F/RE3, 1335 East West Highway, Silver Spring, Maryland 20910 William J. Kimmerer Biosystems Analysis Inc., 3 152 Paradise Dr., Tiburon, State University, 3 150 Paradise Dr., Tiburon California 94920, and Romberg Tiburon Center, San Francisco Abstract Three phytoplankton blooms were observed during our 6-month study period and each resulted in increased rates of egg production (EPR) by female Temora longicornis. An EPR of 50 eggs female- I d-l was observed during the first bloom (spring bloom, March). The maximum EPR observed during the other blooms (May and July) was 20 and 30 eggs female- ’ d- ’ . At all other times the EPR was nearly zero. Each pulse in egg production initiated a distinct cohort. Survivorship from egg to adult was low: 3% for the first cohort and 0.8% for the second. The third cohort did not reach maturity. Mortality was highest in the egg stage-only 10% of the eggs produced survived to first nauplius. Rates of egg mortality were positively correlated with clearance rates of T. Zongicornis, suggesting cannibalism as a cause of high mortality. However, the clearance rates required would be -34-fold too high, suggesting a different densitydependent factor, such as disease, viruses, ecto-parasitism or consumption by dinoflagellates. Advection and resting egg production do not appear to explain high rates of egg loss. It is well established that the egg production rates of most copepods are dependent on food concentration. Most field studies have shown that food is usually present in quantities sufficient to support high rates of egg production only during phytoplankton blooms. At all other times, rates of egg production are usually far less than maximum and are limited by food supply. As a result, recruitment is discontinuous, dependent upon ephemeral phytoplankton blooms. Therefore, temporal variation in food supply is almost certainly a key factor in controlling copepod population dynamics and is thus a factor contributing to variations in recruitment rate. Far less is known about copepod egg mortality as a factor controlling population dynamics. Landry (1978) and Uye (1982) showed that only -20% and 7.5% of the eggsofAcartia Acknowledgments clausii reached the first nauplius stage. Kisrboe The work reported in this paper was supported by Grant et al. ( 1988) reported egg mortalities on the NA86AADSG045 from the New York Sea Grant Institute order of 99% and greater for copepod popuawarded to W. T. Peterson while at the State University lations in Kosterfjorden, Sweden. Others have of New York at Stony Brook. reported mortality rates on the order of 50%: For assistance at sea, the help of D. Bellantoni, H. Dam, S. Horrigan, T. Johnson, and S. Leffert is appreciated. Beckman and Peterson (1986) for Acartia tonComments on earlier drafts of this paper by S. Painting, sa in Long Island Sound, Daan ( 198 7) for T. V. Stuart, H. Dam, and two anonymous reviewers imlongicornis eggs in the North Sea (due to Nocproved the final version. We thank D. Stoecker for thoughts tiluca predation), and Ianora et al. (1992) for and references on the possible role which dinoflagellates might play in killing copepod eggs. Centropages typicus from the Gulf of Naples. 1594 A basic ecological principle is that populations have the potential for exponential growth, yet under natural conditions, maximum population growth rates are seldom achieved. A key research issue is to determine the relative importance of biotic and abiotic factors that limit population growth. In this paper, the importance of two biotic factors is discussed in light of the role of each in controlling population size of the marine copepod, Temora longicornis: seasonal variations in chlorophyll concentration as a factor controlling birth rates, and variations in egg mortality rate as a factor controlling recruitment of nauplii to the population. Egg production and egg mortality constitute the initial steps in the recruitment process. Temora egg mortality Others have reported that mortality is highest either in the naupliar or copepodite stages. However, neither egg production rate nor egg concentration was measured in any of these studies, so their conclusions are not necessarily correct (Heinle 1966; Mullin and Brooks 1970 as examples). We present evidence that recruitment of copepods in coastal waters can be controlled largely by factors associated with eggs: food limitation of egg production and high egg mortality rates. We use a population of T. longicornis in Long Island Sound as an example. Methods Study sites-Most of the data reported here were collected at a baseline station in central Long Island Sound, near Port Jefferson, New York (4 l”Ol’N, 72’57’W). This station, referred to as the “offshore station,” is located 5 km offshore at 40-m depth. Seventeen cruises were made from February through July 198 5, a period that spans most of the growth season of T. longicornis. Limited sampling was carried out at two nearshore sites. One site was at a pier at Stony Brook (water depth, 3 m) and was sampled in February and April when severe weather prevented cruises. During these visits, chlorophyll concentration was measured and females were collected for egg production measurements. The other site was in the nearshore zone (water depth, 10 m) and was sampled from May through July during routine cruises from Port Jefferson. We measured chlorophyll concentrations and collected female T. longicornis for measurement of egg production rates. This station was added to gain a rough idea of the degree of spatial variability in egg production rates. Water-column sampling-Temperature and conductivity profiles were obtained at the offshore station with a Beckman RS-5 salinometer. Water samples for chlorophyll analysis were collected from standard depths (1, 3, 5, 10, 15,20,30, and 37 m) with a Jabsco pump (flow rate, 10 liters min-l) and a 1.9-cm-i.d. rubber hose. From each depth, a 50-ml water sample was passed through a Millipore AA filter (pore size, 0.8 pm) for later analysis of Chl a. The concentration of Chl a in several size fractions was measured from a sample in 1595 which equal volumes of water from 1, 3, and 5 m were combined in a 20-liter plastic container. Subsamples were passed through a 20pm Nitex screen, a lo-pm Nitex screen, and a 5-pm membrane filter, and 50-ml subsamples of each filtrate were passed through AA Millipore filters. Filters were kept in the dark on ice in individual 15-ml plastic centrifuge tubes until returned to the laboratory several hours later. Zooplankton samples were collected by hauling a WP-2 net (0.57-m mouth diameter, 200-pm mesh) vertically through the upper 37 m of the 40-m water column. The net was fitted with a TSK flowmeter. Zooplankton was also collected by pumping 4 liters of water from each of three depths with the Jabsco pump and combining them to produce a 12-liter integrated sample as follows: samples from 1, 3, and 5 m were combined to represent the upper mixed layer; 5, 10, and 15 m, the thermocline region; and 15,22, and 30 m, the bottom mixed layer. Each 12-liter sample was concentrated with a 60-pm Nitex screen, rinsed into a sample bottle, and preserved with 5% buffered formaldehyde. Duplicate samples were collected from 1 + 3 + 5 m for zooplankton and chlorophyll analysis - 3 h after the initial samples and processed as above. Laboratory analyses- For chlorophyll analysis, 90% acetone was added to the centrifuge tubes, and pigments were extracted for 24 h in the dark at - 20°C. Fluorescence was measured before and after acidification with a Turner Designs fluorometer and chlorophyll concentration calculated according to Strickland and Parsons (1972). For each pump sample, the entire sample was counted. For the plankton net tows, two 1. l-ml subsamples were taken with a piston pipette, and all developmental stages of all copepod species were enumerated. Counts were converted to numbers per cubic meter of water filtered. Egg production measurements-Copepods were collected by lowering a 0.5-m-diameter, 240-pm-mesh net to a depth of 20 m and allowing it to sample while the ship drifted. After 5 min, the net was retrieved, and its contents were diluted into a lo-liter insulated cooler filled with surface seawater. Water used for incubations was pumped from 5 m, filtered through a 60-pm Nitex screen (to remove any 80-pm-diameter Temora or Acartia eggs from Peterson and Kimmerer 1596 the water), and then added to l-liter plastic (PMP) bottles. In the laboratory, individual adult T. Zongicornis females were sorted from the living plankton collections into the seawater-filled bottles-one female per bottle. Sorting was always completed within 2 or 3 h of sample collection. Between six and nine bottles per station were set up. When sorting, care was taken to reject females with broken antennules or missing furcal rami. Anesthetics were not used so that lethargic females could be rejected. The bottles were incubated in a walk-in temperature- and light-controlled room with environmental conditions adjusted to match those observed on the day of each cruise (i.e. temperature at 20-m water depth and day length). After 24 h, the water in each bottle was filtered through a 60-pm Nitex screen, the eggs and females were rinsed from the screen into a counting dish, and the eggs were enumerated, yielding an estimate of eggs female- l d-l (B in Eq. 1 and 5 below). Estimates of egg production rate (EPR) in situ were also made with the egg-ratio method (Edmondson et al. 1962; Checkley 1980b): B E ER=NfDBERis the EPR (ER is egg ratio), E is egg concentration estimated from the pump samples, NY is female abundance, and D is embryonic duration (or egg development time) from M&u-en (1978) and Peterson (unpubl.). D depends on water temperature and was estimated by averaging the temperature of the upper 5 m of the water column between adjacent sampling dates. This is the region of maximum egg concentration. The mean concentration of eggs in the water column was calculated from E = [5(N1+3+5,) + lW~+m+d + 15(N15+22+30m)1/30N is the number of eggs per pump samples. Estimates dance, NY, were obtained abundances from the pump (2) liter in the pooled of female abunby averaging the and net samples. Egg mortality rates-Egg mortality was calculated from measurements of EPR, female abundance, egg abundance, and estimates of egg development time (from McLaren 1978; Peterson unpubl.). Egg development times (D) were for the most part less than the interval between sampling dates; therefore the calculation was made assuming that steady state conditions existed around each sampling date. At steady state, the rate at which eggs (or any other developmental stage) pass through a stage is a function of the rate at which they enter the stage and of the mortality rate within the stage. For eggs, R, = R, exp(-ma) (3) (Kimmerer 1987). R, is the rate at which eggs pass through age a per unit volume, R, the rate of egg spawning per unit volume, and m the daily mortality rate. Equation 3 was integrated over a from 0 to D to obtain the number of eggs per unit volume, E = R, [ 1 - exp(- mD)/m]. Substituting (4) for R, (=BNJ and rearranging gives E/BNI = [ 1 - exp(- mD)/m]. (5) B is the EPR (eggs female-l d-l) and Nr the abundance of females (no. liter-l). The mortality rate m was determined iteratively from Eq. 5. The proportion of eggs surviving for 1 d (s) was calculated from S = exp(-m). (6) egg mortality is caused by cannibalism or consumption by other copepods, it should be correlated with clearance rate (filtration rate) of all copepods combined. We were able to test this hypothesis because grazing measurements had been made on female T. Zongicornis on each cruise during the study period (data published by Dam and Peterson 199 1). To test the cannibalism hypothesis, we made the following assumptions: only T. Zongicornis C4, C5, and C6 (male and female) were capable of ingesting the 80-pm eggs. Abundance estimates from the pump samples (see Fig. 6) were used; ingestion rate of male T. Zongicornis = 0.67 x female, ingestion of C5 = 0.67 x male, ingestion of C4 = 0.67 x C5 (selection of the 0.67 multiplier for stage-specific differences in ingestion is discussed by Peterson et al. 1990); filtration rates (fl were calculated from the ingestion rate (r) data using the formula Sources of mortality-If F = I/C. Temora egg mortality 1597 MAR FEE . :6 : - APR MAY : 6:; 3 ‘I;! : j\b . . . 4 ‘I 2 12 . . . I . . 6 . “:I: 2 . <2 . . . I ‘. I &J 4 .‘.. . I 412 JUL JbIJ,,\ I .4..““’ . . 16 1/i . 6 . i.1 JUN . . . . . I . . . . . . . 2 . . . . . . . . . . I Fig. 2. Chlorophyll isopleths bg Chl a liter- I) at the offshore station. Dots indicate sampling depths. MONTH Fig. 1. Temperature at the offshore station averaged over the upper 5 m and at 20 m, March-July 1985. C is concentration of chlorophyll > 10 I.cm, assuming that Temora feeds selectively on chlorophyll-bearing particles > 10 pm (as suggested by Peterson and Bellantoni 1987; O’Connors et al. 1980). Population clearance rates are then the sum of filtration rates for stages C4, C5, male, and female. Cohort survival-Stage-specific developmental rates could be estimated because two well-defined cohorts occurred during the study. For each developmental stage, we estimated the date when the temporal mean (following Rigler and Cooley 1974) of each stage occurred. Temporal mean was calculated from Mean = (ZtiNi)lXti. (7) ti is time in days from 1 January and Ni the abundance of a given stage on day tis Development time was estimated by regressing stage vs. day of the temporal mean for each stage. The slope of the regression is an estimate of the average stage-specific development time (D in Eq. 8 below). Cohort survivorship can be calculated from cohort data only if one has independently measured the development time of each stage (Hairston and Twombly 1985). We do not have any independent measurements of stage duration, so we could only get an approximate estimate of survivorship, carried out by calculating recruitment (R) for each developmental stage (i) from Ri = Ai/Di- (8) A is the area beneath the stage-frequency curves for each stage i and D the stage-specific development time. This equation is correct only if survival ‘of developmental stages is high (Hairston and Twombly 1985). We show later (see Table 2) that this assumption is reasonable. Percent survival (s) was then calculated from Si = (Ri/R& X 100. (9) R,, was estimated for each sampling date by assuming that all eggs produced each day for a period D days (equal to the egg development time) prior to a cruise survived to hatch and was estimated from (10) Raw = ZBNP BNf is from Eq. 5, summed back in time to a period corresponding to D. For each day, BNf was estimated by linear interpolation between adjacent cruise dates. The number of egg recruits (Eobs,see Table 3) was calculated from Eq. 8. Results Water temperatures ranged from < 1°C in February to > 21°C in late July (Fig. 1). The water column at the offshore station was well mixed through mid-April, then stratified thereafter, typical for Long Island Sound (Peterson 19863; Peterson and Bellantoni 1987). The spring bloom began in mid-February. Peaks of 2 1 and 17 pg Chl liter- l were observed on 6 and 11 March at the Stony Brook dock and offshore stations, respectively. Chlorophyll was uniformly distributed with depth from February through mid-April but was restricted to the upper 5-10 m after the water column stratified (Fig. 2). Peterson and Kimmerer 1598 Table 1. Concentration (no. liter- I) of eggs (E), females (N,), embryonic duration (D), and EPR (eggs female-l d-l) calculated from the egg-ratio method (BER) and measured in 24-h incubations (B). D (from McLaren 1978; Peterson unpubl.) is based on temperature in the upper 5 m of the water column. R, is the number of eggs produced per liter per day, and E, is the egg abundance (No. liter-l) for mortality = 0.0. 1985 E N, 18 26 11 20 3 10 23 Feb Feb Mar Mar Apr Apr Apr 0.0 5.4 38.0 43.5 26.3 14.6 0.7 0.09 0.09 0.10 0.39 0.37 0.36 3.79 9 9 8 8 6 5 4 8, Fz 20 t3 -+ w -ya E-, 23 13 7 23 30 3 May May May Jun 0.2 1.5 23.0 21.1 13.8 0.85 1.21 2.57 7.08 2.98 10 2 f: “,::: ::; 0.6 0.0 i c3s F M A MONTH M J 3 9 Jul BE, B R” E” 6.7 47.5 13.8 11.8 8.2 0.05 19.0 25.5 54.3 53.0 43.3 28.8 28.7 1.7 2.3 5.4 20.7 16.0 10.4 108.8 0.0 20.7 43.4 165.4 96.1 51.8 435.1 3 2.2 2 2 1.5 0.06 0.8 4.5 1.5 3.1 2.4 2.7 21.6 10.7 21.4 2.0 2.7 55.5 75.8 63.8 4.5 9.8 111.0 151.5 95.7 ;::; ::: ;:: ‘i:Z :::: 0.05 0.03 1.4 1.2 8.6 0.0 32.8 19.9 D - 2: 1.6 0.6 2.3 0.7 J Fig. 3. Upper panel-chlorophyll concentration averaged for the upper 5 m of the water column (O), in the > 20-urn size fraction (Cl), and in the > 10-brn size fraction (A). &wer panel-e& production by female Temora longicornis estimated by the egg-ratio method (0) and bottle incubation method (o-measurements at the offshore station; A-measurements at the shore station near Stony Brook (February-April) and at a station in the nearshore zone (May-July). Table l), although rates from the egg-ratio method were a half to a fourth those from the incubation method (Fig. 4; Table 1). We infer that the difference between the results of the two methods resulted from in situ mortality. 0 0 Phytoplankton cells > 10 pm accounted for 80-90% of the phytoplankton biomass before stratification, but cells < 10 pm made up 8098% of the biomass afterward. There were three notable exceptions to this rule: blooms occurred in late May, early July, and late July during which the proportion of cells > 10 pm made up 3wO% of the total chlorophyll. There were several bursts in egg production during the study period (Fig. 3). The first was coincident with the spring bloom, lasting -45 d. Additional bursts occurred in late May and early July, coincident with the blooms of largecelled phytoplankton. Egg production ceased by 23 July, possibly as a result of elevated water temperatures stressful to this boreal speties. Peaks in egg-ratio fecundity coincided with peaks in bottle incubation fecundity (Fig. 3; 0 I 5 I I 10 15 EGG RATIO 0 Feb -Apr 0 May - Jul I I 20 25 (eggs female-’ d-l) Fig. 4. Comparison of EPR derived from the egg-ratio method and from bottle incubations. Due to egg mortality, the egg-ratio method seriously underestimates EPR. Temora egg mortality 2.5 1 2 0.9 B P 0.6 & 2 1.5 0.7 g c z g ' 0.5 0.6 z $ 0.5 2 r ; O -0.5 o.4 5 0.2 z 0.3 -1 0.1 E g 20 Feb 01 Apr 11 May 0 20Jun DATE -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 J 0.5 LOG POPULATION CLEARANCE RATE c 3 a & 0 5: -1.5 I 0 100 200 300 400 500 600 i 0 COPEPOD BIOMASS Fig. 5. A. Log mortality rate and proportion of eggs surviving each day for Temora Iongicornis in Long Island Sound in 1985. B. Scattergram of the relation between log mortality rate (Y) and log of proportion of water column swept clear (X, population clearance rate divided by 1,000) for T. Zongicornis C4, C5, and adults. The equation describing the relationship was Y = 0.92 X + 34, or in exponential form, Y = 34 P.92; R2 = 0.62, n = 14; geometric mean regression after log transformation. The slope, 1599 Figure 5A shows that egg mortality rates were relatively low from February through midApril, with a median of 0.46 d-l, but increased dramatically in late April, with a median of 5.3 d-l until the end of the study period. In terms of percentage of eggs dying per day, the medians were 37% d-l for February through mid-April and 99% d-l thereafter. The abundance of eggs that would exist in the absence of egg mortality was far higher than actually observed (Table 1). The sudden increase in mortality on 23 April coincided with a 5- 1O-fold increase in copepod biomass (Table 2), suggesting that copepod feeding was responsible for the high death rates. Since T. longicornis makes up - 80-90% of the copepod biomass in Long Island Sound (Peterson unpubl.), cannibalism was postulated. The hypothesis was tested by regressing the mortality coefficient vs. population clearance rate after log-log transformation. Figure 5B shows that the two variables were significantly related (Y = 34xO.92, r* = 0.62, n = 14; geometric mean regression after log transformation, P < 0.001). The slope, 0.92, was not significantly different from 1.0. Figure 5C shows that mortality rates and copepod biomass are density-dependent since the two are significantly related. -Cohorts were produced by each burst in egg production (Fig. 6) in association with periods of relatively low egg mortality (compare to Fig. 5A). The first cohort was generated during the spring bloom following a period of high EPR (50 eggs female-’ d-l) and low egg mortality rate. The second cohort resulted from a lofold increase in fecundity (from 2 eggs female- l d- l in early May to 20 eggs d- l during the bloom in late May), a 2-5-fold increase in abundance of females during the same period, and a reduction in egg mortality rate. The importance of a decline in egg mortality rate in contributing to the initiation of the second cohort is shown in Table 2: from 13 May to 3 June, up to 28% of the eggs produced survived to hatch, but before and after this period, survival averaged < 1%. c 0.92, was not significantly different from 1 (P < 0.001). C. Scattergram of the relation between log mortality rate (Y) and log biomass of T. Iongicornis C4, C5, and adults: Y = 0.0056 X - 0.23, R2 = 0.49, n = 14; geometric mean regression after log transformation. Peterson and Kimmerer APR MAI- MAY J UN JUL ADULTS Table 2. Mortality rates (m, d-l, from Eq. 5), proportion of eggs dying each day (S is percentage surviving each day, from Eq. 6), biomass &g dry liter- ‘) of Temora iongicornis C&C6 in pump samples, and Temora clearance rates (ml liter - ’ d- I) calculated from gut fluorescence data of Dam and Peterson (199 1). Note that population clearance rate divided by 1,000 is the proportion of the water column swept clear per day. Tenwra 1985 26 11 20 3 10 23 7 13 23 30 3 11 17 3 9 NI - N4 \ /’ ( ay.--..,*..-, 1, _ _ Feb Mar Mar Apr Apr Apr May May May May Jun Jun Jun Jul Jul In 0.42 0.03 0.46 0.61 0.69 162.5 16.7 1.28 2.48 3.62 4.72 6.37 21.57 2.72 6.00 1-S 0.33 0.04 0.37 0.45 0.50 1.00 1.00 0.72 0.91 0.97 0.99 0.99 1.oo 0.93 0.99 Biomass 10.0 3.3 38.7 49.4 69.1 526.1 257.1 233.7 142.9 443.7 97.2 80.4 172.1 2.2 0.0 clearan~ rates 4.1 0.7 15.4 22.8 33.1 1,097.2 265.9 755.3 108.1 112.5 190.7 71.0 719.9 2.2 0.0 Figure 7 shows that the first cohort developed from egg to C3 at a rate of 3.7 d stage- l. From C3 onward, the rate decreased to 9.3 d stage-l, suggesting food limitation of development. Egg-to-adult generation time for the first cohort was 62 d. For the second cohort, the slope for E to C5 was 0.41, equivalent to a 2.4 d stage-l. Generation time was 1 month. A third cohort was initiated in early July (as indicated by an increase in EPR, Table 1 and Fig. 3), but there was no evidence from watercolumn sampling that the cohort became established. The failure of this cohort could have been due to high egg mortality or to the production of resting eggs. Table 3 shows that over the period of one generation, mortality was greatest in the egg stage. For the first cohort, only 10% of the eggs produced survived to Nl. After N6 was reached, there was little mortality. Overall survivorship from egg to adult was 3% for the first cohort, 0.8% for the second cohort, and 0.0% for the third cohort. Had the egg-to-adult sur- EGGS FQ\ c JUN Fig. 6. Abundance the offshore station. of Temora longicornis life stages at Temora egg mortality 1601 vivorship been calculated from the “observed egg abundance” data (rather than from the estimates of “eggs produced”), we would have concluded that survivorship was 10 times higher (31 and 6%, respectively) for the first two cohorts. Discussion Our results show that recruitment of individuals to the population of 7’. Zongicornis in Long Island Sound depends primarily on two factors: food limitation of fecundity and high rates of egg mortality. Eggs were produced only during blooms of larger (> 10 pm) phytoplankton cells. These discrete egg-laying events of several weeks’ duration initiated distinct cohorts that could be followed from egg to adult. Mortality was concentrated in the egg stageonly a few percent of all eggs produced reached the naupliar stages. Thus, recruitment variability in this copepod is probably controlled by whatever physical factors control the initiation of blooms of large cells of phytoplankton and by whatever biological factors control egg mortality. Relationships between recruitment, phytoplankton blooms, and egg production in T. Zongicornis have already been discussed (Peterson and Bellantoni 1987) for this same 1985 data set, so they need not be treated further here. We do add a note of possible interestegg production rates of 50 eggs female-l d-l observed during the spring bloom were two to three times higher than any rates reported previously for this species (Harris and Paffenhiifer 1976: 15-20eggsd-l;Daan 1987: 18eggsd-l; Van Rijswijk et al. 1989: 25 eggs d-l). We do not know whether the high reproductive rate DAYS SINCE 1 JAN Fig. 7. Development times of the two cohorts of Temora Zongicornis calculated by the method of Rigler and Cooley (1974) (see Eq. 7). is due to phenotypic or genotypic differences among populations, but it may be a factor that partially explains the extraordinary dominance of T. Zongicornis in Long Island Sound (Peterson 1985). We presented evidence here that food limitation of population growth was not restricted to egg production: cohort development was at times food limited as well. For the first cohort, stage duration averaged 3.7 d from egg to C3. This is the rate expected for a population developing at maximum rates at a temperature of 7.1”C. This rate was estimated from McLaren’s (1978) relationship between generation time (G) and water temperature (t) for T. longicornis: G = 16,988 (t + 10.4°C)-2.05; since there are 13 stages between egg and adult, average stage duration is G/ 13, or 3.7 d in this example. Temperatures in the upper 20 m of the water column (where all developmental stages are found at this time of the year: Pe- Table 3. Area (A) beneath the stage-abundance curves shown in Fig. 6, calculated by the trapezoid method, and number of recruits (R) each day, calculated from Eq. 8. S is proportion of animals which reached each stage relative to the number of eggs produced (from Eq. 10). First cohort Ew tew) Eggs (obs) N5 N6 Cl c2 c3 c4 c5 Second cohort A, R S A, R s 9,523,650 1,383,540 204,460 254,800 199,829 191,488 203,866 277,141 323,874 2,347,4 13 240,7 18 46,058 59,960 50,367 50,137 59,985 60,929 74,993 o_lO 0.02 0.026 0.022 0.02 1 0.026 0.026 0.032 3,149,250 418,570 15,830 20,655 33,537 28,744 39,825 37,46 1 40,4 12 2,000,750 259,437 8,488 10,503 18,492 14,911 23,426 15,609 16.838 0.13 0.004 0.005 0.009 0.008 0.012 0.008 0.008 1602 Peterson and Kimmerer terson 1985) increased from 3 to 8°C between 20 March and 23 April as eggs developed to C3. Therefore, our suggestion that development was progressing at a rate at or near the maximum is reasonable. However, during development from C4 to adult (from early to mid-May), developmental rate decreased greatly (to 9.3 d stage-l) while water temperatures increased from 8 to 12°C. Although most copepod species do show a decrease in stage duration during the late copepodite stages (cf. Landry 1983; Peterson and Painting 1990), a decrease of this magnitude at a time when the water column was warming indicates food limitation of growth. Support for this hypothesis is that the concentration of phytoplankton in the > 1O-pm size fraction declined to ~0.5 pg Chl a liter-l in early and mid-May. If we assume a C : Chl ratio of 50 (Tandichodok 1990, data for Long Island Sound), 0.5 pg Chl a liter-’ is equivalent to 25 pg C liter-’ - a concentration known to inhibit growth in T. Zongicornis in the laboratory (Harris and Paffenhiifer 1976). The second cohort also developed slowly. Development from egg to C5 proceeded at a rate of 2.4 d stage-l. This developmental rate corresponds to a generation time of 29 d (2.4 d stage-l x 12 stages) and would be expected at temperatures of 12°C. Temperatures observed in the upper mixed layer ranged from 14.5”C (on 1 June, when the cohort began) to 17°C (on 23 June, when the eggs reached C5), and 11 and 14°C at 20 m (Fig. 1). At this time of year, all developmental stages (except adults) are distributed evenly in the upper 20 m (Peterson 198 5). Since individuals were probably growing at temperatures > 12”C, the cohort probably developed at less than maximum rates. Chlorophyll concentrations were low during most of June (Figs. 2 and 3), suggesting food limitation. The suggestion of food limitation of development must be viewed as an approximate and average condition because eggs produced during the first few days of a bloom would experience unlimited food resources for the duration of the bloom (=many weeks), while those produced near the end of a bloom would be food limited almost immediately. For the first cohort, the first eggs produced during the last week of February would experience relatively food-rich conditions (> 2 pg Chl a liter-l) throughout March and much of April. During this 50-d interval, much of the development could be completed. Similarly, the bloom in late May which initiated the second cohort had a duration of 3 weeks-nearly sufficient for the first eggs produced to reach adulthood. Few eggs reached adulthood, however. Mortality was concentrated in the egg stage. High egg mortality has been noted by others: Uye (1982) for A. clausii, Beckman and Peterson (1986) for A. tonsa, and Kirarboe et al. (1988) for Paracalanus parvus and Acartia spp. Uye found for six cohorts that survival of eggs to nauplii averaged 7.5% (range, 3.8-l 1.6%), similar to values reported here. Beckman and Peterson found an average of 50% mortality for A. tonsa eggs in Long Island Sound in autumn. Kiorboe et al. reported mortalities on the order of 99%. On the other hand, mortality in Calanus marshallae seemed to be concentrated in the first two naupliar stages (Peterson 1986a, 1988). Ohman (1986) reported low egg mortality for Pseudocalanus- a result expected for a copepod that carries its eggs in a sac. Naupliar mortality was high, with only 10% of Pseudocalanus nauplii reaching the Cl stage. At variance with the above citations is the work of Van Rijswijk et al. (1989): in a study nearly identical to our Temora study, “expected” egg abundances were almost always less than observed numbers (for measurements made in 1986 and 1987). One explanation for this is that advection consistently brought water enriched in T. Zongicornis eggs past their study site. Finally, Orians and Janzen (1974) noted that high rates of egg mortality are common in both terrestrial and aquatic systems. We initially thought that cannibalism might explain the observed high rates of egg mortality. Since T. Zongicornis made up 85% of the copepod biomass on average, it could be the primary predator. Other copepods in the sound, Acartia hudsonica and Pseudocalanus spp., made up only 14 and 1% of the biomass. We found a strong relationship between population clearance rate and egg mortality rate, with a slope not different from 1, which might be considered evidence of cannibalism. However, the intercept was 34, meaning that, on average, the mortality rate was 34 times the population clearance rate. Either the actual clearance rates are 1.5 orders of magnitude higher than we Temora egg mortality have calculated, or some other factor is responsible for much of the mortality. A clearance rate that high would require individual filtration rates on the order of 0.5-1.0 liter copepod- l d- l, well beyond the range of published data. Thus, it is unlikely that cannibalism contributes substantially to this mortality. The only other zooplanktivorous predators in the sound during spring are larval and juvenile sand lance (Ammodytes americanus). They do eat T. Zongicornis eggs and nauplii, but their density is not high enough to exert heavy predation pressure (Monteleone and Peterson 1986). Other predators known to feed on Temora eggs do not occur in Long Island Sound: Noctiluca (Daan 1987), Phialidium (Daan 1989), and Pleurobrachia (Miller and Daan 1989). Whatever the other factors(s) may be, they must be density-dependent, because mortality rate increased with biomass of T. Zongicornis (Table 2 and Fig. 5C). One density-dependent factor that may be important is disease or viruses transmitted to the eggs from adult and juvenile copepods. Nothing is known about the communication of diseases or viruses to eggs, but since its importance would increase with biomass, we offer it is as a tentative (and testable) hypothesis. We do know that parasitism and adult mortality can be related through a density-dependent mechanisms (Ianora et al. 1987). Microzooplankton may contribute to copepod egg mortality. Parasitism on T. Zongicornis eggs and nauplii by the ectoparasitic dinoflagellate Dissodinium pseudolunula and Syltodinium Zistii has been noted by Drebes (1984, 1988). In addition, at least two species of dinoflagellate are known to consume copepod eggs through pallium feeding (Schnepf and Elbrachter 1992). Ciliates are also known to attack copepod eggs in the laboratory (W. Peterson and M. Roman pers. obs.), but the frequency and importance of attacks in situ are not known. Eggs also may not hatch because of infertility. R. Harris and S. Poulet (pers. comm.) and Ianora and Poulet (1993) included observations of hatching along with their routine egg production measurements on Calanus spp.; they noted that all or most eggs in a clutch will at times not hatch and suggested infertility as the cause. On the other hand, egg viability of A. tonsa in most experiments 1603 was 70-l 00% (Ambler 1986), as was that of C. marshallae (W. Peterson unpubl.). Losses due to advection are probably quite low because Long Island Sound is a relatively closed system. A numerical model of circulation demonstrated that the residence time of water in the central sound, an area which encompasses our study site, is on the order of 60 d (R. Wilson pers. comm.). This result corroborates Riley’s (1952) estimate that no more than a small percentage of the water in the central sound is exchanged each day. The fact that a cohort age structure is characteristic of the T. Zongicornis population in Long Island Sound year by year (Peterson 1985) is in itself evidence that advection does not remove many individuals from the sound. Furthermore, proportional advective losses would not vary with population size. Also, T. Zongicornis is not a dominant member of the copepod community of the adjacent (to the east) Block Island Sound. Deevey (1952) found that the dominant copepod there in spring was C. typicus; T. Zongicornis appeared in appreciable numbers only in June and July. These differences in dominance are further evidence that the exchange of water between Long Island and Block Island Sounds is slight. Sinking of eggs to the floor of the sound and subsequent consumption by the benthos is a possible source of mortality because the sound is shallow (40 m at our study site). If we assume that T. Zongicornis eggs sink at a rate of 15 m d-i (the sinking rate of similarly sized eggs of A. clausii and P. parvus: Valentin 1972; Checkley 1980a), they would reach the floor of the sound within 2.5 d, where they would be subject to loss to benthic predators. Thus, from February through early May when egg development times are ~3 d (see Tab& I), losses to benthic predators could be an important source of mortality. This mechanism might explain the mean daily loss of 34% of the eggs from February to early April, when copepod clearance rates were low. However, it fails to explain the relationship of mortality to population size. The production of resting eggs could explain high egg mortality rates in June and July, especially the failure of the third cohort in July. Resting eggs would be expected at the end of the seasonal cycle, but the frequency of oc- 1604 Peterson and Kimmerer currence during other times of the seasonal cycle is not known. Because of high egg mortality rates, the eggratio method underestimates true egg production rates when applied to broadcast spawners. Thus, EPR data presented by Checkley (1980b) for P. parvus and Peterson (1985) for T. Zongicornis may be in error. Also, we note that estimates of EPR are necessary to construct a complete survivorship curve. In the absence of data on EPR (and female abundances), erroneous conclusions may be reached as to which life cycle stages are most susceptible to predation and other sources of mortality. Future work of the type presented here could be improved greatly if attention were given to the following three conditions: experimental work is needed on rates of egg consumption by suspected predators (such as copepods and dinoflagellates); routine measurements of egg viability should be made of eggs produced by females in incubations; eggs should be collected from the water column on a regular basis and held in the laboratory for observations of hatching success. These experiments would give valuable information on some of the loss terms associated with egg mortality. In conclusion, two factors which Iimit population growth of T. Zongicornis in Long Island Sound are food-limited fecundity and high rates of egg mortality. Food-limited fecundity is emerging as a general pattern for copepods in coastal and estuarine systems, and most studies which have focused on egg mortality have shown that staggering losses can occur at this stage. 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