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. 2021 Jun 18;16(6):e0252904. doi: 10.1371/journal.pone.0252904

Nutrient limitation of algae and macrophytes in streams: Integrating laboratory bioassays, field experiments, and field data

Christopher A Mebane 1,*, Andrew M Ray 2, Amy M Marcarelli 3
Editor: Frank Onderi Masese4
PMCID: PMC8213151  PMID: 34143815

Abstract

Successful eutrophication control strategies need to address the limiting nutrient. We conducted a battery of laboratory and in situ nutrient-limitation tests with waters collected from 9 streams in an agricultural region of the upper Snake River basin, Idaho, USA. Laboratory tests used the green alga Raphidocelis subcapitata, the macrophyte Lemna minor (duckweed) with native epiphytes, and in situ nutrient-limitation tests of periphyton were conducted with nutrient-diffusing substrates (NDS). In the duckweed/epiphyte test, P saturation occurred when concentrations reached about 100 μg/L. Chlorophyll a in epiphytic periphyton was stimulated at low P additions and by about 100 μg/L P, epiphytic periphyton chlorophyll a appeared to be P saturated. Both duckweed and epiphyte response patterns with total N were weaker but suggested a growth stimulation threshold for duckweed when total N concentrations exceeded about 300 μg/L and approached saturation at the highest N concentration tested, 1300 μg/L. Nutrient uptake by epiphytes and macrophytes removed up to 70 and 90% of the N and P, respectively. The green algae and the NDS nutrient-limitation test results were mostly congruent; N and P co-limitation was the most frequent result for both test series. Across all tests, when N:P molar ratios >30 (mass ratios >14), algae or macrophyte growth was P limited; N limitation was observed at N:P molar ratios up to 23 (mass ratios up to 10). A comparison of ambient periphyton chlorophyll a concentrations with chlorophyll a accrued on control artificial substrates in N-limited streams, suggests that total N concentrations associated with a periphyton chlorophyll a benchmark for desirable or undesirable conditions for recreation would be about 600 to 1000 μg/L total N, respectively. For P-limited streams, the corresponding benchmark concentrations were about 50 to 90 μg/L total P, respectively. Our approach of integrating controlled experiments and matched biomonitoring field surveys was cost effective and more informative than either approach alone.

Introduction

Eutrophication due to nutrient enrichment and associated excessive growth of algae or aquatic plants is a well-known and persistent water quality concern across many agricultural or urbanized regions [13]. In the United States, nutrient management efforts are implemented to restore and maintain the chemical, physical, and biological integrity of surface waters in accordance with the Clean Water Act’s total maximum daily load (TMDL) program. While these watershed plans are intended to define acceptable levels of pollutants, including nutrients, that are protective of beneficial uses, they commonly presume phosphorus (P) is the controlling nutrient and thus exclusively address nutrient management on P control [4]. This nutrient management presumption is common despite recommendations for restoring nutrient conditions in waters by evaluating the relationships among nutrients and algal response within stream systems with an understanding of which nutrient is limiting [5, 6]. In brief, nutrient limitation occurs when biological uptake of a macronutrient approaches its available supply. Operationally, we infer nutrient limitation when changes in growth or abundance of algae or aquatic plants are associated with changes in nutrient concentrations in surrounding waters. Nutrient saturation occurs when the availability of a nutrient increases to a point at which another factor critical to growth becomes limiting [7]. Understanding the limitation status of a waterbody is a necessary step for water managers, because it characterizes a waterbody’s ability to retain nutrients exported from surrounding landscape [8, 9]. However, in broadscale analyses or in the establishment of numeric nutrient criteria, this step of empirically defining the limiting nutrient for an individual waterbody is often omitted. Instead, broadscale targets have been defined based on distributions of ambient data by assuming that the 25th percentile of historical data from all waterbody types approximates natural background conditions absent anthropogenic enrichment [10]. Likewise, broadscale empirical regression models that predict autotrophic biomass under varying nutrient concentrations frequently have low predictive power, especially from flowing waters. For example, Dodds et al. [11, 12] and Munn et al. [13] reported a number of regression models that predict benthic algal chlorophyll a as a function of nitrogen and/or phosphorus, and found r2 values ranging from 0.03 to 0.44. The reasons for the weak relationship likely include the complex interactions of multiple physical and biological factors in stream environments [1315] and that measured nutrient concentrations in water may not be a good proxy for the nutrient requirements at that time [e.g., 16].

The lack of simple patterns in field data of co-occurring nutrient and algae or plant abundance led to the desire to integrate the complex, community-level responses from field observations with single-species responses from laboratory experiments to see if together additional insights into nutrient-response patterns could be gained. The former provides the complexity of aquatic producer communities under ambient conditions while the latter offers confidence that response to nutrients can be examined without the confounding influence of environmental variability. Using a combination of independent lines of evidence offers advantages when deriving nutrient limitation information for establishing water quality plans. The approach here was to conduct controlled laboratory or instream manipulations of nutrient amounts and ratios in tests that were analogous to field measures. Specific goals and questions included:

  1. To evaluate whether major nutrients, nitrogen or phosphorus, limited biological responses, either separately or together. If so, were nutrient ratios a useful way to estimate limitation?

  2. To detect thresholds for accelerated growth of plants in response to increasing nutrient concentrations.

We investigated nutrient limitation in several streams in an agricultural region of the upper Snake River basin, Idaho, looking for commonality or contrast between three experimental approaches. We also contrast our experimental results with numeric nutrient criteria guidelines. Our experiments consisted of: (1) laboratory nutrient limitation experiments with green algae bottle tests using ambient stream waters and nutrient additions; (2) laboratory nutrient limitation experiments with the macrophyte Lemna minor (duckweed) and with epiphytic periphyton using ambient stream waters and nutrient additions; and (3) in-stream nutrient limitation experiments with nutrient-diffusing substrates naturally colonized by periphyton.

Bottle tests of algal productivity, sometimes called biostimulation assays or bioassays have long been used for measuring nutrient limitation of water [17, 18].These tests measure the response of a cultured species of green algae (Chlorophyta) in response to nitrogen (N) and P additions. While a major advantage of green algae bottle tests is their efficiency, their relevance for natural algal assemblies in streams is unclear. In seasonal monitoring of the streams that are the focus of the present paper, Chlorophyta were a minor component of periphyton abundance whereas Cyanophyta tended to be the most prevalent algae phylum followed by diatoms (Chrysophyta) [19]. In a mountain stream in Idaho, Marcarelli and Wurtsbaugh [20] found that while the relative abundances of different algal phyla changed with different nutrient availability, Chlorophyta were never dominant. Thus, the relevance of bottle tests with green algae remains to be demonstrated. Moreover the species of algae used in bottle tests is typically found in planktonic assemblages in lakes, and therefore may have different uptake affinities for limiting nutrients than periphyton that grow attached on substrates [21], as are more commonly found in streams, as well as vascular plants that can take up nutrients from the water column or from sediment via roots or shoots [2224].

Macrophytes commonly represent a large portion of the primary producer biomass and serve as a substratum for epiphytes in aquatic ecosystems. Nevertheless, aquatic vascular plants are seldom used in nutrient enrichment bioassays, in part because macrophytes commonly obtain nutrients from both roots and shoots, complicating the design and interpretation of tests [23]. Free-floating duckweeds have advantages in this regard, as these small, fast-growing plants must obtain all nutrients from the water column and can readily be cultured and tested in laboratory settings. Ray et al. [25] demonstrated the responsiveness of a laboratory bioassay using with wild-harvested duckweed, Lemna minor L., and attached epiphytes to differing nutrient conditions in water collected from streams with differing nutrient conditions.

In contrast to the green algae bottle test and duckweed/epiphyte test in which stream waters are brought to the laboratory and tested in static conditions more reminiscent of lake waters, nutrient-diffusing substrates (NDS) are a tool for identifying nutrient limitation in stream periphyton communities [9]. In brief, concentrated nutrients are dissolved in a media (most often agar) to allow slow release, which is enclosed in a permeable container (e.g., a clay pot) or in vials with diffusive fritted glass tops, which allow nutrients to slowly leach through the substrates. Periphyton accumulates on diffusive surfaces when NDS are deployed in natural waters, and differences in accumulation rates between nutrient treatments and controls are interpreted as evidence of periphyton nutrient limitation. NDS have been used for approximately 40 years to determine nutrient limitation in lakes, streams, and large rivers [9, 26, 27].

These three testing approaches (single-species phytoplanktonic green algae in bottles, macrophyte/epiphyte growth in aquaria, NDS in streams) all have obvious differences from natural aquatic plant communities with their complex of bacterial, algal, and macrophytic assemblages. The point of this paper is to evaluate management tools for pragmatic tests of nutrient limitation and management, not to mimic ecological processes. Here we evaluate stream waters with phytoplankton, periphyton, and macrophyte tests and compare the experimental results to field measurements in the streams.

Methods and materials

We investigated planktonic algae, benthic algae and macrophyte responses to nutrient gradients in experimental conditions that roughly corresponded with field measurements of the same concentrations. The studies began with the simplest tests, a single species of algae which was tested with water samples from selected field sites and increased in complexity to combined epiphytic periphyton and duckweed and in situ periphyton tests (Table 1).

Table 1. Biological response variables measured in the field surveys and corresponding response variables tested in laboratory and instream nutrient limitation assays.

Variables that may describe eutrophication or biological condition Field measurement Relevant laboratory or in situ nutrient limitation experiment Experimental endpoints
Sestonic algae abundance Chlorophyll a concentration Green algae growth test Algal density at peak growth
Benthic algae abundance Periphyton chlorophyll a and biomass Nutrient-diffusing substrates (NDS) Periphyton chlorophyll a and biomass on control and nutrient enriched artificial substrates, autotrophic index
Duckweed and epiphyte growth test Periphyton chlorophyll a and biomass from different nutrient treatments
Macrophyte abundance Biomass Duckweed and epiphyte growth test Duckweed biomass, plant size and abundance

The waters used for testing the responses to nutrient gradients were from selected sites surveyed in a broader field survey [19, 28]. A subset of these streams with a broad range of nutrient concentrations and ratios were further tested with nutrient additions. The selected experimental waters included reference streams with low nutrients but with differing ratios of nitrogen (N) and phosphorus (P) concentrations, streams that were slightly enriched above background, and highly enriched streams. Depending on the complexity of the experiments, between two and eight stream waters were tested. No regulatory permits were required for the collection of field samples reported herein.

We particularly focused on two test streams to evaluate P and N responses, one with very low N concentrations and one with very low P concentrations. The stream with very low N, Big Cottonwood Creek near Oakley, in south central Idaho represents a rangeland reference stream in near pristine condition. The stream is almost entirely in wilderness conditions upstream of the sampled reach with no diversions or channel alterations present and no livestock grazing. The Big Cottonwood Creek watershed is almost entirely roadless and the few roads that cross the watershed divide are located high in the watershed far from the stream, and no motorized off-road travel is permitted. While reference streams free from any of these disturbances are commonplace in higher-elevation, forested ecoregions, these types of human uses or disturbances are nearly ubiquitous in lower elevation, desert rangeland ecoregions [30]. Our field sampling showed total N to be very low (35–342 μg/L N) and total P concentrations averaged 35 μg/L, ranging from 18 to 66 μg/L over the course of the study. This allowed us to explore algal and macrophyte responses to enrichment in a low nitrogen stream under natural conditions.

The second stream that we focused on represented a situation with very low P concentrations (8–21 μg/L as total P) but ample nitrogen (1107 to 1643 μg/L N). This combination allowed us to design experiments to test for response thresholds with P, without the complicating role of potential nitrogen limitation or co-limitation. This stream, Stalker Creek, is located entirely within The Nature Conservancy’s Silver Creek Preserve, and is protected to preserve its ecological services as part of a vulnerable high-desert spring-fed creek ecosystem.

These two streams were included in all aspects of the experiments listed in Table 1. For the planktonic green algae test and the in situ periphyton growth tests, other sites were also sampled that represented a range of nutrient concentrations. The experiments were also coordinated with field sampling of the same sites. Following a broader sampling of nutrient conditions in tributaries of the upper Snake River sampling in which 30 sites were sampled for a gradient of spatial conditions [28], in the second season a subset of sites were selected for repeated sampling to describe seasonal patterns in nutrient, algae, and macrophyte patterns [19]. Thus, with focused repeated field sampling and the nutrient-limitation tests described here, these latter streams represented a well characterized, rich data set to contrast with experimental manipulations.

Green algae nutrient-limitation tests

The test organism was Raphidocelis subcapitata (= Pseudokirchneriella subcapitata = Selenastrum capricornutum) [31] from an axenic culture maintained by Aquatic BioSystems, Fort Collins, Colorado. The green algae population was incubated in the unamended ambient water samples in a static system for a common time period of at least 96 hours or until the maximum standing crop was achieved. The response of the population was measured in terms of changes in cell density, biomass, chlorophyll a content, or absorbance.

Waters from six sites (Table 2) were collected, kept chilled, shipped by overnight delivery to a testing laboratory, GEI Consultants, Littleton, Colorado. Upon receipt at the testing laboratory, samples were filtered through a 0.45 μm filter to remove any particulates or organisms that might interfere with the test. Four tests, with 3 replicates each, were conducted on each of six stream water samples, as follows: Site water only–baseline control (C treatment); Site water, plus 1 mg/L of N as NaNO3 (N treatment); Site water, plus 0.1 mg/L of phosphorus as K2HPO4 (P treatment); Site water, plus both 1 mg/L N and 0.1 mg/L of P (NP treatment).

Table 2. Summary of seasonal nutrient characteristics of streams and stream waters tested.

Streams are listed in order of increasing average total phosphorus (P) concentrations.

Stream Green algae Duckweed/ epiphyte Nutrient-diffusing substrates Annual average (range) total N (μg/L) Annual average (range) total P (μg/L) n (nutrient samples) Study site No.
Big Wood River 207 (50–560) 9 (5.3–198) 11 25
Stalker Creek 1283 (1107–1643) 12 (8.2–21) 11 29
Little Wood River 174 (93–407) 30 (10–74) 9 31
Willow Creek Ruined 384 (245–620) 30 (17–50) 11 26
Big Cottonwood Creek 139 (35–342) 35 (18–66) 11 10
Camas Creek 2338 (502–4107) 48 (21–147) 11 28
Goose Creek 400 (213–879) 86 (30–238) 11 8
Billingsley Creek 1692 (1571–1816) 93 (76–108) 11 24
Mud Creek 2889 (2883–2914) 115 (103–127) 2 17

Study site numbers are from Mebane et al. [28] and correspond with the KML map in the S1 File. Nutrient values were sampled across seasons in 2008 [19], except Mud Creek for which sampling was curtailed. Total N (organic nitrogen + ammonium + nitrate+ nitrite) and total P (all forms) were determined photometrically on unfiltered samples following alkaline persulfate digestion as described by Patton and Kryskalla [29].

In order to estimate when maximum standing crop was achieved and thus when to end the test, absorbance readings were taken on days 3, 5, 7, 10, 12, and 14 of the test to determine when the percent change in biomass was less than 5% per day. When the change in biomass was less than 5% per day, maximum standing crop was assumed to have been achieved and the test was ended. This resulted in 12 to 14-day test durations. At test termination samples were filtered and dry weight was determined and used as the final endpoint of the test.

Nutrient limitation was interpreted through 95th percentile confidence intervals (CI) and 2-factor analysis of variance (ANOVA). Confidence intervals are related to p values, as any value outside the 95th percentile CI, when considered as a null hypothesis, gives two-tailed p <0.05 [32]. Interpretation of differing outcomes of the 2-factor analysis of variance (ANOVA) followed Tank et al. [9]. Single nutrient limitation is indicated when just one of the nutrients (N or P) elicits a positive response, as determined by the mean response to the N or P treatment falling outside the upper CI of the control and the interaction term in the ANOVA is not significant. If neither N nor P alone significantly increases algal biomass, but N and P added together (N + P) do (that is, the interaction term in the ANOVA is significant; p < 0.05), then the algal biofilm is considered to be co-limited by both N and P. Secondary limitation is indicated if N or P alone significantly increases algal biomass, both N and P added together result in an even greater increase in biomass, and the interaction term for the ANOVA is significant. In such case, the nutrient that added alone produced a significant increase is considered the primary limiting nutrient, and the other nutrient is considered to be secondarily limiting [9].

Macrophyte Lemna minor (duckweed) and epiphytic periphyton nutrient-limitation tests

The second experiment evaluated a more complex plant and a community algal response instead of just a single sestonic-algal species. Although aquatic vascular plants are seldom used in nutrient enrichment bioassays, macrophytes commonly represent a large portion of the primary producer biomass and serve as a substratum for epiphytes in aquatic ecosystems. Here, we used a laboratory bioassay designed with wild-harvested Lemna minor and attached epiphytes to integrate responses of the resident aquatic plant community to nutrient enrichment.

Methods followed the approach of Ray et al. [25]. In short, about 90L of water were collected from streams with low N and low P (Big Cottonwood and Stalker Creeks) and were transported to the Stream Ecology Center at Idaho State University, Pocatello, Idaho. Lemna minor and attached epiphytes were collected from a single location in the Portneuf River, Idaho. The low N waters were amended with nitrogen to determine if they were indeed nitrogen limited and if so, whether a response threshold could be detected. Ambient conditions plus four increasing N treatments were used, with three replicate aquaria for each treatment. The low P waters were similarly tested with an increasing P series. The 30 aquaria for both series, 5 treatments with 3 replicates each, were randomized on racks in a growth chamber. Maximum illumination intensity for the tests was about 5,500 lumens/m2 and temperatures in the aquaria ranged from about 15.5°C in the dark to 19.0°C at peak illumination. Tests were concluded at 11 days. Water samples were collected at the start and end of the tests, filtered at 0.45 μM, chilled and acidified with H2SO4 to pH <2, and analyzed for total P and total N following alkaline persulfate digestion [29]. Response endpoints included duckweed biomass, root and frond lengths, numbers of plants and “benthic” chlorophyll a that was introduced as epiphytic periphyton with the duckweed and that then became established on the aquaria sides (S1 File). Ten plants per aquarium were randomly selected for root and frond measurements; periphyton chlorophyll a originating from epiphytes was collected by scrubbing aquaria walls, and the liberated periphyton was collected on filters for analyses, as described in [25]. For endpoints which increased with nutrient additions, effects concentrations associated with percentile increases were estimated by nonlinear curve fitting using OriginPro software (OriginLab, Northampton, Massachusetts).

In-stream benthic algae nutrient limitation experiments with nutrient-diffusing substrates (NDS)

In this experiment we used in situ nutrient-diffusing substrates (NDS) to test for nutrient limitation of benthic algae. Our design used plastic tubes filled with agar with semi-permeable fritted glass discs for colonization surfaces held in place by heavy-gauge aluminum racks designed to withstand deployment in fast-water locations [33]. The design accommodated four treatments with six replicates each. Similar to the algal growth bioassay tests, each test included a control treatment with no nutrient amendments (C), a N-amended treatment, a P-amended treatment, and a N and P amended treatment (Fig 1). NDS were constructed by amending 2% agar with 0.5 mol NaNO3 (N treatments) or 0.2 mol KH2PO4 (P treatments) or both (NP treatments). Amendments were added after the agar was removed from the heat source and had begun to cool. Amended agar solutions were poured into 35-mL polystyrene vials, which were capped with 2.6-cm-diameter porous, fritted porcelain crucible covers (Leco Corporation, St. Joseph, Michigan).

Fig 1. Matched views of a nutrient-diffusing substrate (NDS) rack at deployment and after 21-days of colonization in a nitrogen and phosphorus (N+P) co-limited stream, the Big Wood River.

Fig 1

The NDS test sites were selected to provide a range of nutrient concentrations and ratios (Table 2). Racks with NDS were secured in locations with velocities and light that were reasonably representative for the study site and were incubated for 21 days. This incubation period was selected because it was just short of accrual periods that lead to sloughing and loss of benthic algae biomass, short enough to avoid extensive invasion of the racks by grazing snails, and because of experience that the nutrients in the vials become depleted by about 28 days [34]. Racks were secured with about 0.2 to 0.3m water depth above the growth discs. The racks were checked on days 11 or 12 to remove debris and make sure that they were not in danger of coming out of the water as flows dropped in late summer. Ambient nutrient samples were collected from stream water before and after the deployments and once during the deployments. Nutrient limitation was inferred using the same statistical approach as with the green algae tests.

Results

Complete data for all of the tests are available from the ScienceBase.gov data archive [35].

Green algae tests

Three of six stream samples (Mud Creek, Stalker Creek, and Willow Creek) showed primary P limitation, three showed N+P co-limitation (Stalker Creek, Willow Creek, and Big Cottonwood Creek). Only one sample (Goose Creek) showed primary N limitation (Fig 2).

Fig 2. Green algae growth results from six streams with Nitrogen (N), Phosphorus (P), or N+P additions.

Fig 2

Averages ± 95th percentile confidence intervals (CI) of the mean (n = 3). Primary nutrient limitation is concluded when the CI of the single nutrient additions does not overlap the mean of the controls. Co-limitation of N+P is determined by significant (p<0.05) interaction term in 2-factor ANOVA test.

By examining the pattern from all the streams with just the growth from the ambient water samples (no manipulations) we see an asymptotic relation with the curve starting to flatten at around 100 μg/L (~0.1 mg/L) total P, suggesting saturation. An asymptotic curve provided a reasonable fit to the data, suggesting a total P half-saturation value (50% of maximum) of about 35 ug/L (Fig 3). From the range of ambient P concentrations evaluated in these stream samples, there was no evidence of a low P threshold below which no or little growth response occurred in response to slight increases in P.

Fig 3. Green algae growth in ambient waters (no additions).

Fig 3

The asymptotic relation with total P suggests saturation with a half-saturation value (50% of maximum) of about 65 μg/L TP and above about 120 μg/L TP, no further growth increases with P were noted. Error bars show standard deviation.

Duckweed/epiphyte tests

The N series with Big Cottonwood Creek source water achieved a measured range of initial N concentrations ranging from 290 to 1277 μg/L with initial measured total P concentrations of 28 μg/L in all treatments. The P series with source water from Stalker Creek achieved a measured range of initial P concentrations ranging from 8 to 208 μg/L with initial measured N concentrations of 1277 μg/L in all treatments (Table 3).

Table 3. Percent phosphorus (P) and nitrogen (N) removed from the water column during the 11-day P and N growth series.

Phosphorus enrichment experiment
Initial P (μg/L) Ending P (μg/L) Initial N (μg/L) Ending N (μg/L) P % Removed N % removed Initial N:P molar ratios Ending N:P molar ratios
8.8 4.9 1277 1221 44% 4% 321 551
28 17.0 1277 1140 40% 11% 100 148
47 14.9 1277 440 68% 66% 61 65
80 10.6 1277 288 87% 77% 36 60
109 16.5 1277 458 85% 64% 26 61
208 23.7 1277 330 89% 74% 14 31
Nitrogen enrichment experiment
Initial N (μg/L) Ending N (μg/L) Initial P (μg/L) Ending P (μg/L) N % removed P % Removed Initial N:P molar ratios Ending N:P molar ratios
290 264 28.2 16.8 9% 40% 23 35
319 240 28.2 11.0 25% 61% 25 48
434 210 28.2 10.2 52% 64% 34 46
708 467 28.2 9.8 34% 65% 56 105
1277 1140 28.2 17.0 11% 40% 100 148

Total N (organic nitrogen + ammonium + nitrate+ nitrite) and total P (all forms) were determined photometrically on 0.45 μM filtered samples following alkaline persulfate digestion as described by Patton and Kryskalla [29].

Test results from the P series showed that duckweed biomass had a stepped pattern of increase with increasing P (Fig 4A). No substantial increase occurred until a threshold of about 50 μg/L and then no further increases were apparent beyond an apparent saturation point at around 100 μg/L P. The initial P concentration producing a 50% increase in biomass (the EC50), estimated through logistic regression, was about 75 μg/L. In contrast, the periphyton had no threshold for initial response, but an exponential growth pattern up to about 75 μg/L with no further increases at higher P concentrations. Because at the 75 μg/L P treatment the N:P ratio was about 36, nitrogen should not yet have been limiting, suggesting a P saturation response (Fig 4).

Fig 4. Duckweed and periphyton responses to Phosphorus (P) enrichment (left) and Nitrogen (N) enrichment (right).

Fig 4

Error bars show standard deviations. EC50 (± SE): the concentration causing an increase in growth to 50% of maximum growth; saturation concentrations–further increases in P or N result in little further growth, calculated as 95% of the absolute asymptote.

The N enrichment series showed much lower plant growth than did the P series. Duckweed biomass showed only moderate increases with increasing nitrogen, suggesting that the abundant N had shifted the system into P limitation. The response of the algal community also showed no threshold of initial response, and although the absolute chlorophyll a biomass values were much lower than the P series, the shape of the growth curve was similar (Fig 4). By coincidence, the initial N concentration in the highest treatment in the N series was the same (1277 μg/L) as the N in the ambient water of the P series. This had the effect of providing a 6th and intermediate low treatment for the P series. This 28 μg/L point falls in line with the P growth series for both the algae and duckweed responses, lending further confidence in the reliability of the response curves.

Over the course of the experiment, up to 90% of P and nearly 80% of N were removed from the water column by the combined macrophyte and epiphyte growth. Even in the N series with low biomass accumulation, over 60% of P and 50% of N were removed (Table 3). This feature of static bioassays contributes to uncertainty in the interpretation of responses, curve fitting, and effect concentrations. Our interpretations focus on the initial rather than average concentrations because the uptake of nutrients by algae is usually rapid, growth over time is nonlinear (initially faster) and lags uptake [e.g., 3638]. Effects concentration estimates would be lower if average instead of initial treatment concentrations were used. Using the same nonlinear response curve fitting, the EC50 estimates for growth increases using initial or average P or N concentrations respectively were as follows: duckweed with P additions (Fig 4A), 75 vs 43 μg/L; epiphytes with P additions (Fig 4C), 34 vs 25 μg/L; epiphyte with N additions (Fig 4D), 404 vs 367 μg/L. No good fit with duckweed growth and average N concentrations could be obtained.

Nutrient-diffusing substrates

Eight NDS experiments were attempted and seven were completed successfully (Tables 2 and 4). The unsuccessful test was ruined when drifting debris lodged on the rack late in the test, shading parts of the P and NP treatments and reducing velocity in all treatments.

Table 4. Nutrient limitation conclusions from the nutrient-diffusing substrate (NDS), average (ranges) of ambient nutrient concentrations in the streams at the time of the tests, and ancillary chemistry and channel measurements.

Stream Stalker Creek Big Cottonwood Creek Big Wood River Little Wood River Goose Creek Camas Creek Billingsley Creek
Nutrient Scenario Very low P; high N Low P; Very-Low N Very low P; very low N Low P; very low N Medium P; medium N Medium P; very high N High P; high N
NDS Nutrient Limitation P+, Co Co Co N+ N+ P+ NP-
TN (μg/L) 1329 (1133–1585) 107 (35–151) 100 (50–150) 102 (93–118) 302 (213–380) 3446 (2505–3937) 1706 (1571–1816)
NO3 +NO2 (μg/L as N) 1233 (1024–1448) <16 <37 (<16–81) 44 (15–76) <16 3317 (2268–3944) 1485 (1370–1600)
NH4 (μg/L as N) 13 (10–20) <20 <20 <20 <20 <20 (<20–20) 187 (170–200)
TP (μg/L) 9 (8–10) 36 (33–37) 9 (7–10) 13 (10–14) 39 (30–43) 38 (30–45) 89 (87–90)
OP (μg/L as P) 6.5 (3.9–7.9) 32 (28–39) 5.3 (2.7–9) 5.5 (3.7–7.3) 20 (12–32) 26 (16–32) 60 (57–62)
N:P molar ratios 320 (306–340) 6 (2.3–9) 25 (15–37) 18 (14–20) 17 (16–21) 209 (123–291) 42 (38–45)
DOC (mg/L) 1.3 (1.2–1.3) 1.8 (1.3–2.1) 1.2 (1.1–1.2) 0.9 (0.7–1.0) 3.4 (2.7–4.0) 1.2 (0.7–2.1) 1.1 (0.8–1.3)
Unshaded (%) 96 69 71 88 89 99 98
Turbidity (NTU) 1.8 (1–3.2) 2.4 (1.0–4.4) 6.5 (2.6–9.9) 0.65 (0.3–1.0) 4.7 (3.1–6.5) 1.4 (0.8–1.9) 0.87 (0.6–1.0)
Qmax (L/s) 1,120 2110 43,330 14,780 4163 24,350 1330
Q (L/s) 584 (541–671) 49 (19–108) 784 (680–906) 520 (337–807) 132 (79–204) 53 (48–57) 720 (576–838)
Wetted width (m) 22 (14–34) 3.7 (2.4–6.1) 18 (12–27) 13 (9.9–14) 5.9 (3.1–8.7) 9.0 (6.5–11.4) 6.9 (5.2–8.1)
DO (mg/L) 8.4 (4.0–14.1) 8.3 (7.4–8.9) 8.0 (7.7–8.4) 8.9 (7.7–9.9) 7.5 (5.7–8.8) 9.8 (8.4–10.9) 8.1 (5.5–10)
pH 8.1 (7.7–8.7) 7.5 (7.3–8.4) 7.7 (7.5–7.8) 7.9 (7.7–8.1) 8.1 (7.7–8.4) 8.2 (7.9–8.5) 8.0 (7.5–8.4)
T (°C) 17.1 (14.3–23.5) 16.7 (13.7–19.4) 18 (15–20.7) 11.4 (8.2–15.5) 22.6 (20.8–24.8) 16.8 (13.4–21.9) 17.2 (15.6–18.8)

N, nitrogen; P, phosphorus; NP, nitrogen + phosphorus co-limitation; +, stimulation response; -, suppression response; NP, colimitation by N and P as indicated by significant interaction term in 2-factor ANOVA (p<0.05); TN, total N (unfiltered); TP total P (unfiltered); OP, orthophosphate (filtered); Unshaded, percent of the sky over the NDS rack unshaded by vegetation or topography by digitized Solar Pathfinder images; NTU, nephelometric turbidity units; DOC, dissolved organic carbon; Q, streamflow; Qmax, maximum streamflow within the year prior to sampling; T, temperature, n = 3 for water samples, with samples near the start, middle, and ending of the NDS deployments, except for DO, T, and pH for Stalker, Cottonwood, Goose, and Billingsley, which were from 3-day continuous measurements. Brightbill and Frankforter [39] and Mebane et al. [28] (S1 File) give more details on field data.

Primary P limitation of chlorophyll a was present for 2 streams, Stalker Creek and Camas Creek (Fig 5a and 5f). Both streams had relatively low P, abundant N, and molar N:P ratios >200 (Table 4).

Fig 5. Chlorophyll (a) accrual on nutrient-diffusing substrates (NDS) with Nitrogen (N), Phosphorus (P), or N+P additions.

Fig 5

Averages ± 95th percentile confidence intervals (CI) of the mean (n = 6). Nutrient limitation is interpreted as with Fig 2.

Primary N limitation was present for 2 streams, Little Wood River and Goose Creek (Fig 5D and 5E). Both streams had average N:P ratios of about 17–18, and very low to intermediate N concentrations (about 100 and 300 μg/L for Little Wood and Goose, respectively).

Co-limitation was present for at least 3 streams (Stalker Creek, Big Cottonwood Creek, and Big Wood River, Fig 5a–5c). Big Wood River had the lowest overall nutrient concentration of any stream in the study (P about 9 μg/L; N about 100 μg/L), followed by Big Cottonwood Creek with similar very low N concentrations but 4X higher P. Despite the high ambient N concentrations in Stalker Creek (~1300 μg/L), N was still co-limiting (Fig 5a). It is notable that Camas Creek with a N:P ratio >200, could also be co-limited as its P value of 0.051 for the interaction term was just above our arbitrary significance cutoff of P < 0.05 (Fig 5e).

Nutrient saturation of chlorophyll a was presumed for Billingsley Creek, a stream with high N and P and where none of the nutrient additions resulted in increased chlorophyll a accrual. Total P during the deployments was about 90 μg/L and N was about 1700 μg/L (Table 4).

Few clear patterns were observed between the nutrient treatments and total AFDM biomass. In Big Cottonwood Creek, AFDM clearly increased in response to N additions. As ranked absolute AFDM densities, N treatments were highest in all sites, but the responses were not statistically different using the CI overlapping the mean control response test, as used with the chlorophyll a responses (S1 Fig).

Discussion

Commonalities and contrasts in the nutrient-limitation tests

In both the green algae and NDS benthic algae tests, co-limitation by N+P was more common than single-nutrient limitation. The prevalence of co-limitation is consistent with many other studies of North American streams and broad syntheses of nutrient limitation in freshwaters [1, 33, 4042]. This prevalence in turn supports the rationale for a dual-nutrient approach to eutrophication management, and the concern that a singular focus on P targets for ‘TMDL’ pollution reduction plans likely will not be fully successful for restoring or maintaining desired conditions of freshwaters [6]. An alternate perspective on eutrophication management advanced for N and P co-limited waters is that the focus should be on P controls [43]. However, advocates for a dual N and P management approach note that a singular focus on P reductions could inadvertently favor taxa that are commonly N-limited such as Microcystis or allow the export of elevated N downstream where algal production could be stimulated in lentic waters [44].

Conceptually, differences in nutrient requirements and thus limiting nutrients would be expected from a single-species green alga (Chlorophyta) test and complex benthic algae. However, for the 4 diverse streams tested with both methods, the conclusions on limiting nutrients were similar (Table 5). While not too much should be made of a comparison with a sample size of 4, this does suggest that comparatively simple green algae tests could have inferential value beyond sestonic green algae.

Table 5. Nutrient limitation conclusions from streams tested under similar conditions with both the green algae bottle test and nutrient-diffusing substrates.

Stream Stalker Creek Big Cottonwood Creek Goose Creek Billingsley Creek
Nutrient Scenario Very low P; high N Low P; very-low N Medium P; medium N High P; high N
Green algae Nutrient Limitation P, Co Co N, Co Not nutrient limited
NDS Nutrient Limitation P, Co Co N Not nutrient limited

The lack of response from nutrients to Billingsley Creek with high N and P concentrations (~90 μg/L P and 1700 μg/L N) is indicative of nutrient saturation. This lack of response is also consistent with the duckweed and epiphyte test curves which had similarly flattened growth responses by these concentrations (Fig 4). Snyder et al. [45] conducted an NDS test in the nearby Snake River at King Hill, Idaho (their site S5) under lower N and P concentrations than in Billingsley Creek and also found nutrient-saturated conditions (62 μg/L P and 1360 μg/L NO3 +NO2 as N for Snake River vs. 90 and 1485), respectively, for Billingsley Creek (Table 4).

The single P additions tended to suppress algal growth as chlorophyll a at sites where N was low (Big Cottonwood Creek, Big Wood River, Little Wood River, and Goose Creek). In one instance (Billingsley Creek), N+P additions suppressed growth. Total periphyton biomass accrual as AFDM did not show this suppression pattern and was similar between control and P addition treatments, except for Big Cottonwood Creek where AFDM increased in response to P addition. In the green algae tests, the addition of more N to Stalker Creek, which already had a very high N:P ratio, killed the green algae (Fig 2).

Suppression of chlorophyll a growth in response to nutrient additions, particularly P, is a common phenomenon in nutrient limitation studies [9, 33, 4648]. In Beck and Hall’s [48] comprehensive review of the phenomenon, they found suppression in response to P in 13% of NDS studies reviewed, versus 4.7% and 3.6% for N or NP additions, respectively. The mechanisms for suppression in response to nutrient addition are unclear. Potential reasons include competition among the different algal species and heterotrophic organisms such as fungi and bacteria, direct toxicity resulting from mineral imbalance, or residual toxicity from H2O2 produced during autoclaving of agar when preparing the NDS treatments [48]. The latter, H2O2 toxicity, is clearly not relevant to our study, as we did not autoclave agar treatments. In each instance of the present study in which P suppression occurred, a strong positive response to N or N+P also occurred. To us, the fact that exacerbating N limitation or co-limitation by adding more P, supports the relevance of the NDS technique in assessing nutrient limitation in-stream.

The use of N:P ratios to predict limiting nutrients

Nitrogen to phosphorus (N:P) ratios have long been used to predict potential nutrient limitation [49]. More recent studies have reached differing conclusions on the utility of N:P ratios for predicting nutrient limitation, ranging from support when overall nutrient concentrations are low [45] to useless [50]. The comparisons of N:P ratios and actual nutrient limitation determined in the present study give qualified support to the use of N:P ratios to predict transitions between N and P limitation, in waters with low overall nutrient concentrations. In instances where nutrient limitation was present and the total N:P molar ratios were >~30 (equivalent to mass ratios >~14), the algae or macrophyte growth was P limited or co-limited with N (Fig 6). However, probable N limitation was observed at N:P ratios up to 23 (equivalent to mass ratios up to 10), which is into the range for which P limitation is commonly predicted [>20, 49]). The Billingsley Creek results illustrate the point that N:P ratios lose relevance at high overall nutrient concentrations. Nutrient availability in this stream appears to exceed what could be used by algae, and the N:P ratio of about 40 was irrelevant for predicting limitation (Figs 2 and 5).

Fig 6. Nitrogen to phosphorus ratios corresponding with empirically determined nutrient limitation from the different stream water experiments.

Fig 6

(N-nitrogen limited; NP-nitrogen and phosphorus co-limited; P-phosphorus limited).

The macrophyte conundrum

The stepped response of duckweed to P enrichment, with no increases in biomass in the low treatments was unexpected in a nutrient growth assay. The expected growth response is a steep initial response curve that flattens and approaches an asymptote as the nutrient additions approach saturation. The stepped response suggests competition with the attached epiphytes. Epiphytic algae coat the leaves and stems of macrophytes and may outcompete macrophyte for nutrients through faster uptake and physical exclusion [24, 28, 51].

Our water-only test results using duckweed biomass as a model macrophyte produced much higher effect concentrations than did water-only tests with pondweed, Potamogeton pectinatus, reported by Van Wijk [52]. Van Wijk [52] dosed P. pectinatus for 8-weeks in a gradient of P concentrations and found maximum growth had stabilized by 15 μg/L P and only about 7 μg/L P produced a 50% increase in growth (EC50) over the control treatment of 2.5 μg/L. In contrast, in our duckweed test, maximum growth stabilized at about 100 μg/L and 75 μg/L P produced a 50% growth increase. In Van Wijk’s [52] study, the plants were kept free of epiphytes by regular and careful cleaning, whereas for our purposes, we wanted the additional complexity and increased realism of the epiphyte+macrophyte growth assay. We attribute the lack of growth response of the duckweed in the low P treatments below 50 μg/L P to competition from the epiphytes; however, whether this competition for P between the epiphytes and macrophyte could account for the large response concentration differences is uncertain.

Macrophytes may have strong influence on stream ecosystem structure and in excess can become a major nuisance. However, they are commonly excluded from nutrient enrichment testing or management strategies because of their complex life histories. We used duckweed as a convenient macrophyte for nutrient bioassays because its roots obtain nutrients from the water column rather than sediments. However, this makes it difficult to extrapolate to natural macrophyte beds. The protection or control of macrophyte assemblages by nutrient management in rivers and streams is confounded by the ability of some taxa to obtain nutrients through either sediments or the water column via roots or shoots, and the influence of factors such as water velocity, competition from epiphytic algae, or light limitation [23, 25, 28, 53]. The relative importance of sediment or water nutrient sources for rooted plants in streams probably differs by stream type and the taxa present. In streams that were subject to high velocities, macrophyte abundance was more strongly correlated with nutrients in sediment than water. In these streams, the taxa present were characterized by extensive and robust rooting, strong stems, and a streamlined morphology that bends with the current. Examples included Stuckenia sp., Potamogeton sp., and Ranunculus sp. [28]. In contrast, some macrophyte taxa found in lakes and slow-moving rivers may develop long stems, up to 2 m or more in length. In such cases, the root may function more as a holdfast rather than an efficient conduit of nutrients, and broken fragments can continue to survive, grow and re-attach. Examples of taxa that often develop long-stemmed forms include Ceratophyllum sp., Elodea sp., and Myriophyllum sp. [54, 55]. Further, macrophytes are shape shifters and the same species can take on very different morphological forms depending on hydraulic habitat and nutrient conditions. In oligotrophic conditions, some plants may develop robust roots and short-stemmed low profiles, versus weak rooted, long-stemmed profiles in eutrophic, low velocity settings [56, 57]. For instance, in different settings, Potamogeton sp. have been reported to both obtain nearly all their P from sediment [22, 23] or from water [24].

These complexities in turn make quantitative predictions of macrophyte abundance in streams in response to nutrient management complex and uncertain [e.g., 58]. Nevertheless, we think tests such as the duckweed/epiphyte exposure reported here can be helpful in both qualitative assessments and in contributing to the parametrization of numerical simulations.

The role of nutrient uptake in the lack of simple correlations between nutrients and periphyton abundance

In addition to the nutrient limitation results, the magnitude of nutrient uptake that occurred in our macrophyte and epiphyte experiments with P and N suggests why correlations between ambient nutrients in water and algae abundance are often weak. For instance, a time-series plot of N, P, and benthic chlorophyll a in Big Cottonwood Creek over the two years of our study may simply appear chaotic upon initial glance (Fig 7a). Concentrations of N and P generally tracked together, but benthic chlorophyll a does not follow the same pattern. However, the green algae test, the macrophyte and epiphyte test, and the in situ benthic algal test (Figs 2 and 5b) all showed N limitation or NP co-limitation. These tests were conducted during both spring high-flow when N was near its annual maximum and summer base flows. Therefore, we focused on the N concentrations when comparing nutrients and benthic algae in these data. Removing P simplifies the plot of nutrients versus benthic algae, and it can more easily be seen that N and benthic chlorophyll a concentration vary in almost perfect synchrony (Fig 7c). However, N concentrations decrease as benthic chlorophyll a increases. While the low chlorophyll a value in May is likely attributable to scouring during high flows (S2 Fig), the pattern can be seen at other times of the year. These results are consistent with other work showing high potential for nutrient uptake in streams, linked to instream biotic activity [5961]. Our macrophyte/epiphyte experiment is also consistent with the decline of N from the water column corresponding with increases in algal chlorophyll a in Fig 7. Even though the absolute plant biomass in the macrophyte/epiphyte experiments was lower than that measured instream, at times greater than 50% of the N in the microcosms was taken up by the plants and incorporated into biomass even over the relatively short duration of the tests (Table 3).

Fig 7. Benthic chlorophyll a density over time in a nitrogen-limited stream.

Fig 7

A. Benthic chlorophyll a relative to both nitrogen (N) and phosphorus (P); B. Overlain with the three nutrient limitation experiments conducted on the stream that demonstrated consistent N limitation; C. A simplified comparison without P shows nearly perfect inverse correspondence between chlorophyll a and N.

The rapid removal of nutrients from the test solutions suggests practical implications for monitoring and water management. Because the plant densities in our tests were low, representative of oligotrophic conditions, we think the magnitude of nutrient removal has important implications for interpreting monitoring data. Further, this supports the utility of using duckweed as a low cost, effective means of removing nutrients from wastewater ponds, such as aquaculture settling ponds, municipal sewage or lagoons for confined animal feeding operations. This is likely a feasible approach in many places so long as pond residence times are at least few days and a skimmer to remove plants can be used.

Predicting relations between nutrients and benthic chlorophyll a abundance

An important question is whether the benthic algae accrual on the artificial substrates can be used to predict nutrient-algae abundance relations in streams. First, when comparing the periphyton biomass that was measured on natural substrates at the time of the NDS artificial substrate experiments to that measured on the non-nutrient amended controls of the NDS experiments, in some instances the biomasses were similar but more frequently the periphyton biomass was higher on the artificial substrates than on natural substrates from the same sites while the experiments were underway. This tendency for high growth on fresh, uncolonized substrates is probably related to the lack of competition and is similar to the high growth that sometimes occurs after freshets or other bed disturbances [e.g., 62]. Other researchers have found that colonization periods of about 30 days allow for maximum biomass accrual on artificial substrates, but avoids subsequent sloughing or invasion by snails or other grazers [45, 63, 64].

Second, benthic algal abundance on natural substrates in relation to nutrients were variable to the point of appearing chaotic and challenging to interpret even with intensive monitoring efforts. Yet, when benthic chlorophyll a biomass that had accrued after 21-days on the controls of the NDS artificial substrates was compared to N from those streams that were experimentally shown to be N limited, a consistent pattern was apparent (Fig 8). The curve shape from these ambient N concentrations and benthic chlorophyll a is unmistakably similar to the asymptotic, rate limited curve shapes seen in the green algae and epiphyte N and P series (Fig 4). Together, these two observations suggest that the relation of benthic chlorophyll a biomass and ambient N may approximate an upper limit for average chlorophyll a biomass in streams in relation to late summer N concentrations.

Fig 8. Benthic chlorophyll a on artificial substrates at nitrogen (N) limited sites versus field samples.

Fig 8

Curve fit to chlorophyll a from NDS controls (no nutrient additions), excluding P-limited sites, following 21-day accrual (top), and the same line fit overlaying 62 benthic chlorophyll a samples collected from natural substrates in associated field collections (bottom). Field data from [28, 39].

Overlaying the 62 matched benthic chlorophyll a and N samples collected during summer (June-Sep) in 2007 and 2008 for the field study gives a good fit between the N-chlorophyll a curve developed from colonizing artificial substrates in N-limited streams and the upper limit of chlorophyll a and ambient N concentrations (Fig 8). Because most sites were N or co-limited in the in situ tests, similar comparison with P are comparatively poor. Nevertheless, fitting a logarithmic curve to the 4 NDS sites that were either P limited or co-limited also produced a function that reasonably matched the upper limits of the chlorophyll a collected from natural substrates, plotted as a function of P (Fig 9).

Fig 9. Benthic chlorophyll a on artificial substrates at phosphorus (P) limited sites versus field samples.

Fig 9

Curve fit to chlorophyll a from NDS controls (no nutrient additions), excluding N-limited sites, following 21-day accruals overlain with 62 benthic chlorophyll a samples collected from natural substrates.

An implication of these patterns is that they approximate the maximum chlorophyll a biomass in streams for given N or P concentrations. Below the curves, chlorophyll a is presumably prevented from reaching these maximum biomasses because of other limiting factors such as P limitation for the N curve, N limitation for the P curve, light limitation, grazing pressure, or a host of other measured or unmeasured factors. The limiting function inferred from overlaying the chlorophyll a accruals on fresh substrates in Figs 8 and 9 follow the upper edge of the cloud of points for N and P. This is conceptually similar to inferring ecological relationships from the edges of scatter plots by using quantile edge regression approaches (e.g., 80th or 90th percentile, depending on dataset size) [5, 65, 66]. While the Figs 8 and 9 scatter plots with lines overlying the edge of the points look similar to edge regression plots, the difference is that rather than fitting a line to the edge of the distribution of a dataset in edge regression, the curved lines in Figs 8 and 9 were from the independent NDS exposures.

Chlorophyll a values of 150 and 200 mg/m2 have been considered to define desirable or nuisance conditions in rivers, respectively, based on public opinion surveys of recreationalists [67]. From the patterns shown in Fig 8, mean summer N concentrations of about 600 to 1000 μg/L in N-limited streams would be expected to limit periphyton chlorophyll a to about 150 to 200 mg/m2. From Fig 9, mean summer P concentrations of about 50 to 90 μg/L in P-limited streams would be expected to limit periphyton chlorophyll a to about 150 to 200 mg/m2 respectively.

We think that this approach and the specific associations between nutrient concentrations and periphyton densities in streams are an appreciable advance for estimating nutrient benchmarks (‘criteria’) to avoid undesirable plant growth over commonly used ecoregional distributional models (e.g., setting targets at the 25th percentile level of available data for an ecoregion) [10]. However, there are important limitations to our study and cautions to applying the specific concentration values to waters that are greatly dissimilar to the study streams. Algal growth in the environment is not as simple as extrapolating lab curves, and other factors such as grazing, flow, light penetration, temperature, and sloughing could greatly influence or control algae biomass in streams and rivers [58, 68].

The nutrient benchmarks derived here from the NDS and field survey data are considerably higher than benchmarks derived from some artificial stream studies [6971]. For instance, Schmidt et al. [70] showed P saturation occurred between about 12 and 29 μg/L P when N was not limiting and N saturation occurred between 150 to 2,450 μg/L when P was not limiting [70]. Phosphorus concentrations which saturate cellular level growth kinetics are very low, at less than 1 μg/L of soluble reactive P, yet in nature, much higher P levels are usually required to cause more dense accumulations of periphyton [69]. Bothwell showed that as benthic algal colonization proceeded, an initial saturation plateau controlled by cellular growth rate kinetics developed in the first two weeks at about 0.5 to 1 μg/L P, followed by slow increases limited by diffusion-limited kinetics up to an ultimate plateau of about 25 μg/L after about 30 days [69]. These changing saturation processes and >20 fold differences in P saturation concentrations caution that saturation thresholds derived from fresh benthic colonization laboratory assays may not be directly applicable to natural, established algal communities that develop throughout the growing season. For example, Schmidt et al. [70] designed their tests (short-term with strong current to overcome any diffusion gradients) to produce maximum growth to define rate constants in numerical models, where in application limiting factors such as layer diffusion, sloughing, and light limitation would be adjusted by other mathematical functions.

The nutrient benchmarks derived here are also considerably lower than some benchmarks derived for naturally turbid streams. The NDS deployments and field survey data used in this study are from shallow, fairly clear water streams with good light penetration. Nutrient benchmarks derived for turbid waters with limited light penetration have been considerably higher. For instance, Suplee et al. [72] used a process-based model to derive nutrient criteria of 55 μg/L P and 655 μg/L N to limit benthic algae growth in the Yellowstone River upstream of a turbid tributary, the Powder River (Montana, USA). These values are effectively the same as our estimates for the streams in the present study. In the more turbid section of the Yellowstone River downstream of the Powder River, 95 μg/L P and 815 μg/L N were projected to produce the same benthic algae crop [72]. Chambers et al. [73] derived P and N criteria of 102 and 980 μg/L respectively for turbid, western prairie streams of Canada. In contrast, criteria for clearwater, montane streams in inland British Columbia were 20 and 210 μg/L, P and N respectively [73].

Conclusions

Conclusions that we draw from this work include:

  1. Different endpoints (e.g., phytoplankton algae, periphyton algae, and the macrophyte) tested in the same or similar waters sometimes had different limiting nutrients, however nitrogen (N) limitation or co-limitation was most common;

  2. With both green algae and algae in periphyton, phosphorus (P) had no minimum response threshold. Rather, in both test series algae biomass followed an exponential growth function with increasing P concentrations up to an apparent saturation threshold of around 100 μg/L total P (TP) with no further growth increases at higher P concentrations;

  3. With the macrophyte test, an apparent P threshold of response for increased growth was around 50 μg/L TP and an apparent saturation threshold was around 100 μg/L;

  4. In the growth experiments with duckweed and epiphytic periphyton, most of the N and P in the test solutions was removed over the course of the 11-day tests. This suggests that uptake of N and P in oligotrophic streams likely complicates relations between plant biomass and nutrient concentrations in stream surveys;

  5. A comparison of ambient periphyton chlorophyll a concentrations with concentrations accrued on control artificial substrates in N-limited streams, suggests that N concentrations in clearwater N-limited streams associated with periphyton chlorophyll a thresholds for desirable or undesirable “too green” conditions for recreation would be about 600 to 1000 μg/L, respectively;

  6. A comparison of ambient periphyton chlorophyll a concentrations with concentrations accrued on control artificial substrates in P-limited streams, suggests that TP concentrations in clearwater P-limited streams associated with periphyton chlorophyll a thresholds for desirable or undesirable conditions for recreation would be about 50 to 90 μg/L, respectively; and,

  7. Integrating controlled experiments and matched biomonitoring field surveys was more informative than either approach alone. Considering relatively low costs of testing such as we have described here versus engineering and construction costs of wastewater treatment (on the order of tens of thousands versus tens of millions or more dollars respectively) that might not address the correct limiting nutrient, we recommend wider application of integrated nutrient-limitation testing approaches.

Supporting information

S1 Fig. This figure showing (1) biomass (as AFDM) responses to nutrient enrichment and (2) interactive plots of time series nutrient, organic carbon, streamflow, benthic algae, and macrophytes in the study streams.

(PDF)

S2 Fig. This figure showing (1) biomass (as AFDM) responses to nutrient enrichment and (2) interactive plots of time series nutrient, organic carbon, streamflow, benthic algae, and macrophytes in the study streams.

(PDF)

S1 File. This includes more details and photographs of the study sites.

(PDF)

S2 File. This shows site locations, accessible through spatial viewers such as QGIS or Google Earth.

(KML)

S1 Image

(JPG)

Acknowledgments

The algal growth potential tests were directed by Suzanne Pargee, GEI Consultants, Littleton, CO. Flint Raben, Idaho State University Department of Biological Sciences, Pocatello, ID (ISU) supported the duckweed collection and testing and Kelsey Flandro, ISU, conducted the chlorophyll a and biomass measurements for both the Lemna and epiphyte growth tests and the NDS experiments. Diana Eignor, project officer with the U.S. Environmental Protection Agency’s Nutrient Criteria Program, encouraged and facilitated this work. The views expressed in this article are those of the authors and do not necessarily represent the views or policies of the U.S. Environmental Protection Agency. Any use of trade, firm, or product names is for descriptive purposes only and does not imply endorsement by the U.S. Government.

Data Availability

The experimental data on which this article relies are available from a data repository (https://doi.org/10.5066/f72r3psj) and the field data are available from a data report (https://doi.org/10.3133/ds517).

Funding Statement

Funding for the experimental components of this project was provided by the U.S. Environmental Protection Agency’s Nutrient Criteria Program, through interagency agreement DW-14922442-01-0. Funding for the field data collection components of this project was provided by the U.S. Geological Survey’s National Water Quality Assessment (NAWQA) program. No specific funding was received to write the article. The funders approved the general study design and encouraged publication of results but had no role in data collection and analysis, specific decisions to publish, or preparation of the manuscript. The manuscript was reviewed and approved for publication per U.S. Geological Survey Fundamental Science Practices.

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Decision Letter 0

Frank Onderi Masese

3 Feb 2021

PONE-D-20-39177

Nutrient limitation of algae and macrophytes in streams: integrating laboratory bioassays, field experiments, and field data

PLOS ONE

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Additional Editor Comments:

I have now received review comments by two reviewers who agree on the strength of the paper and its contribution to nutrient management in streams and rivers. While both reviewers have provided specific and general comments on how the paper can be improved, reviewer 2 is very critical of the writing style used. Thus, the paper need reorganization using a parallel structure. There is also a need to shorten some sections of the paper as indicated.

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Reviewers' comments:

Reviewer's Responses to Questions

Comments to the Author

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Reviewer #1: Yes

Reviewer #2: Yes

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2. Has the statistical analysis been performed appropriately and rigorously?

Reviewer #1: No

Reviewer #2: Yes

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Reviewer #1: Yes

Reviewer #2: Yes

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Reviewer #2: No

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5. Review Comments to the Author

Please use the space provided to explain your answers to the questions above. You may also include additional comments for the author, including concerns about dual publication, research ethics, or publication ethics. (Please upload your review as an attachment if it exceeds 20,000 characters)

Reviewer #1: This is a nice paper of practical and ecological importance. The growth assays combined with the field measures makes the work stronger and helps us start to understand linkages between laboratory and field experiments commonly used to assess nutrient limitation in streams. Nutrient pollution in streams is an important management issue, so the work has practical implications as well.

My comments are mainly on details, not the overall scope or conclusions of the manuscript.

Line 152. Was the algal culture axenic?

Line 168. Given that multiple ANOVA tests were run, was there any effort to do Bonferonni correction or a giant combined test of results?

Line 189. What light intensity was used for the two types of bioassay experiments?

Line 206. Were the NDS agar solutions mixed with phosphorus at the last minute upon cooling? Otherwise inhibitory compounds can be produced (e.g. reference 8). While later on the authors state that the agar was not autoclaved, this still could happen with boiling. It really is the best explanation (in my mind) for the inhibitory response.

Line 233. A growth function as a function of nutrients is Monod, Michaelis-Menten is for nutrient uptake. Same mathematical form, but technically different. Line 264 makes that distinction.

Line 245. Stepped increase very interesting result

Line 253. Larger plants have much more capacity to be plastic in their internal nutrient content and can store nutrient up from prior pulses. Line 261 supports this hypothesis. Lohman and Priscu (1992) show this for Cladophora (kind of on the border between a macro and a macrophyte…)

Line 456. Good explanation for Figures 8 and 9 that indicate that nutrient bioassays show that initial burst of growth, but are and are not subject to other controls of natural standing stock. Maybe consider that a quantile regression is good for maximum chlorophyll? This approach has been taken previously (or using maximum chl rather than seasonal means from standing stocks)

Figure 2. I don’t think it is necessarily correct to calculate 95% confidence intervals when there is a significant interaction?

Figure 7 shows why longer term means are useful. For example figure a has a spike in TN and TP and a decline in benthic chlorophyll. This could be a sloughing event and the TN and TP made mostly of lost algae.

Figure 8 a. Not sure how you would get chlorophyll per kg of periphyton on the glass frits.

Lohman, K., and J. C. Priscu. 1992. PHYSIOLOGICAL INDICATORS OF NUTRIENT DEFICIENCY IN CLADOPHORA (CHLOROPHYTA) IN THE CLARK FORK OF THE COLUMBIA RIVER, MONTANA1. Journal of Phycology 28:443-448.

Reviewer #2: Review of PONE-D-20-39177 – “Nutrient limitation of algae and macrophytes in streams: integrating laboratory bioassays, field experiments, and field data” by Mebane, Ray and Marcarelli.

This manuscript presents the results from a study that used multiple laboratory- and field-based approaches to explore the boundaries of N and P limitation in a group of western US streams that lie along a gradient of anthropogenic nutrient enrichment. Nutrient limitation was assessed using a combination of low-concentration threshold and high-concentration saturation responses with bottle bioassays of a single algal taxon, laboratory growth trials of Lemna and its epiphytes, and deployments of nutrient-diffusing substrates in the field. This is an interesting combination of approaches that could inform the setting of nutrient criteria in streams. Perhaps not surprisingly however, the manuscript struggles to organize all the various components of the results in a clear and logical way. I have both general and specific suggestions for its further improvement.

General Comments

Abstract: The abstract suffers from a number of problems. First, the abstract seemingly uses the terms “limitation” and “saturation” interchangeably. Growth stimulation at low concentrations is also mentioned. These terms all need to be defined and used carefully, as they are not the same thing. This applies in the main body of the manuscript also. Second, more detail about the sites and methods are needed. For example, the response variables of the various tests are not given in the abstract. Readers will want to know what was actually measured (e.g. chlorophyll, biomass, etc) and the context.

Overall, the manuscript’s structure is too unorganized and sprawling. Move all the results into the Results section, broken into logical chunks. Then stick to the same structure in the Discussion. Some text could easily be removed without losing any important points. I have tried to point out some examples below.

Specific Suggestions

1) Line 11: Regardless of N concentration?

2) Line 12: Move “and by about…L P” to the end of the sentence.

3) Line 15: Proportions of nutrients taken up is meaningless without context.

4) Line 18: Across all three tests? Just ambient concentrations or amended ones too?

5) Line 32: The potential for N limitation in western US streams has been known for more than forty years, so P limitation is not assumed in the authors’ study region.

6) Line 35: “of which nutrient”

7) Lines 35-36: Here’s a definition of limitation, but it is theoretical, not operationally very useful (how does one measure supply?) and cannot be applied to the methods used here.

8) Line 48: But mostly it is because concentration is a poor indicator of supply rate.

9) Line 55: “The approach here…”

10) Lines 64-69: Convert to straight text.

11) Lines 70-96: None of this text belongs in the introduction. Move to the methods or discussion.

12) Lines 99-100: Duplication of “evaluate” and “evaluation.” Used again in the next sentence.

13) Line 154: “for a common”

14) Line 181: How is it subtly different?

15) Lines 191-194: What were the treatments?

16) Line 196: How were the plants subsamples for some of these responses (e.g. root length)?

17) Line 197: What is an “effect concentration”? What about the other responses? How were they analyzed?

18) Line 245: I am not sure that I buy that this step function is real.

19) Line 249: How was the periphyton sampled?

20) Line 281: Change “ruined” to “lost”

21) Line 282: “in all treatments”

22) Line 282-283: Avoid empty figure citations such as these. Cite the plot while describing it instead.

23) Line 302: These aren’t conclusions. Change to something like “Results from the NDS experiments…”

24) Line 319: An alternative conclusion is that strict co-limitation lends itself to control of just one of the nutrients.

25) Lines 334-350: Maybe this text on suppression could be moved to later in the discussion. It is a minor component of the results.

26) Line 358: I suggest that the authors move all these results to the results section. There is no real reason to wait until the discussion to present these data. It just makes for a longer and more confusing Discussion.

27) Line 366: Again, I question the validity of the step function.

28) Line 380: “Account for the large…”

29) Line 381-405: This section is long and does not add much to the manuscript. It’s hard to know what Lemna can tell us about macrophytes generally.

30) Line 397: Use another term instead of “shape shifters”

31) Line 409: “suggests why” (the subject is “magnitude”)

32) Line 415: Why can P concentrations be ignored?

33) Line 444: “allow” (the subject is “periods”)

34) Line 456: Again, this should be in the results.

35) Line 510: Use another term instead of “knobs”

36) The text’s font size switches between sentences in the manuscript, which is distracting to reviewers.

37) Phosphorus is often misspelled throughout the manuscript.

38) Throughout: N-limited, P-limited, community-level, low-nitrogen, nutrient-saturated, rate-limited when modifying a noun.

39) Fig. 4: Just because a logistic model fits these data does not mean that the fit is valid or biologically meaningful. I am not convinced.

40) Fig. 9: The legend states that there are top, middle and bottom plots.

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Reviewer #1: No

Reviewer #2: No

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PLoS One. 2021 Jun 18;16(6):e0252904. doi: 10.1371/journal.pone.0252904.r002

Author response to Decision Letter 0


26 Mar 2021

[The responses to comments are uploaded in a separate file "Rebuttal letter.docx" that is easier for humans to read than the following plain text. Per request of the editorial office, the duplicative, plain text comments and responses follow.]

Editorial Comments

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We have reviewed these and believe it is consistent with style requirements. It was not clear whether this comment was a standard admonition or if there was something in the manuscript that stood out. Please advise if something needs correction in the revised version.

2. In your Methods section, please provide additional location information of the study sites, including geographic coordinates for the data set if available.

Table 2 is in the methods section (list of study sites). The footnote refers readers to the SI for this information. Also in the footnote we have added reference to the data repository which also contains all geographic coordinates for the study sites.

3.We note that you have indicated that data from this study are available upon request. PLOS only allows data to be available upon request if there are legal or ethical restrictions on sharing data publicly.

In our original submittal, in the Editorial Manager query for ‘Data Availability’ we replied “Yes-all data are fully available without restriction” and we go on to describe the URLs for the public repositories from which the datasets may be downloaded.

Several instructions on how to present funder and acknowledgements were made, including:

“We note that you have provided funding information that is not currently declared in your Funding Statement. However, funding information should not appear in the Acknowledgments section or other areas of your manuscript. We will only publish funding information present in the Funding Statement section of the online submission form. Please remove any funding-related text from the manuscript and let us know how you would like to update your Funding Statement.”

The financial information is removed from the acknowledgements and a revised funding disclosure has been provided in the cover letter as follows:

“Funding for the experimental components of this project was provided by the U.S. Environmental Protection Agency’s Nutrient Criteria Program, through interagency agreement DW-14922442-01-0. Funding for the field component of this project was provided by the U.S. Geological Survey’s National Water Quality Assessment (NAWQA) program. No specific funding was received to write the article. The funders approved the general study design and encouraged publication of results but had no role in data collection and analysis, specific decisions to publish, or preparation of the manuscript. The manuscript was reviewed and approved for publication per U.S. Geological Survey Fundamental Science Practices.”

Additional Editor Comments:

I have now received review comments by two reviewers who agree on the strength of the paper and its contribution to nutrient management in streams and rivers. While both reviewers have provided specific and general comments on how the paper can be improved, reviewer 2 is very critical of the writing style used. Thus, the paper need reorganization using a parallel structure. There is also a need to shorten some sections of the paper as indicated.

We greatly appreciate the time and insights of the reviewers. We have considered and responded to all comments. Reviewer 1’s comments are in red text and Reviewer 2’s comments are in blue text.

Reviewer #1

This is a nice paper of practical and ecological importance. The growth assays combined with the field measures makes the work stronger and helps us start to understand linkages between laboratory and field experiments commonly used to assess nutrient limitation in streams. Nutrient pollution in streams is an important management issue, so the work has practical implications as well.

My comments are mainly on details, not the overall scope or conclusions of the manuscript.

Line 152. Was the algal culture axenic?

Yes, revised, and added source

Line 168. Given that multiple ANOVA tests were run, was there any effort to do Bonferonni correction or a giant combined test of results?

No family-wise comparisons of the ANOVA across streams were made. This is because we were not making any comparisons of limitation results across streams.

Line 189. What light intensity was used for the two types of bioassay experiments?

Added this detail to the text

Line 206. Were the NDS agar solutions mixed with phosphorus at the last minute upon cooling? Otherwise inhibitory compounds can be produced (e.g. reference 8). While later on the authors state that the agar was not autoclaved, this still could happen with boiling. It really is the best explanation (in my mind) for the inhibitory response.

The agar was off the hot plate and was starting to cool when the nutrients were added, but it couldn’t be allowed to cool too much, or else the nutrient additions wouldn’t mix fully and the agar has to be warm in order to pour it. Added this detail to methods. While we have no basis to refute Reviewer 1’s comment that bringing agar to a boil can introduce inhibitory compounds, we did not see anything within reference 8 or any other sources that could clarify this point or give us something to reference.

Line 233. A growth function as a function of nutrients is Monod, Michaelis-Menten is for nutrient uptake. Same mathematical form, but technically different. Line 264 makes that distinction.

Fair comment. The point of Figure 3 is to show that ambient waters with different P concentrations did indeed produce a concentration-dependent pattern in green algae growth, and that it reached an asymptote. We replaced the Michaelis-Menten curve fit in Figure 3 with an asymptotic fit, which shows the same thing, but avoids the conceptual problem that M-M and Monod are intended for rates. While rates could be calculated, the test design wasn’t optimal for it with green algae concentration as a starting and ending endpoint only.

Line 245. Stepped increase very interesting result

We thought so as well

Line 253. Larger plants have much more capacity to be plastic in their internal nutrient content and can store nutrient up from prior pulses. Line 261 supports this hypothesis. Lohman and Priscu (1992) show this for Cladophora (kind of on the border between a macro and a macrophyte…)

Lohman, K., and J. C. Priscu. 1992. Physiological indicators of nutrient deficiency in Cladophora (Chlorophyta) in the Clark Fork of the Columbia River, Montana. Journal of Phycology 28:443-448.

Lohman and Priscu (1992 is a good reference and we appreciate the reminder. Added to the references in line 265. However, the stored nutrients from prior pulses wouldn’t seem to be applicable here since by chance, we collected the stream sample for the N series at close to the highest N measured at any time during our 2-year sampling of the streams.

Line 456. Good explanation for Figures 8 and 9 that indicate that nutrient bioassays show that initial burst of growth, but are and are not subject to other controls of natural standing stock. Maybe consider that a quantile regression is good for maximum chlorophyll? This approach has been taken previously (or using maximum chl rather than seasonal means from standing stocks)

Yes, as noted below at line 469, this result is similar to what would likely be inferred from quantile regression. However, since we have direct experimental results, we were able to take the approach of overlaying the experimental results on the field collections.

Figure 2. I don’t think it is necessarily correct to calculate 95% confidence intervals when there is a significant interaction?

We think it is informative to compare the results of the single nutrient additions relative to the controls. The approach used here is conceptually similar to that used by Beck and Hall [42], although they used t-tests as opposed to confidence intervals. More generally, a variety of approaches have been reported in the literature for the interaction problem across the disciplines, and there is no single, most correct approach. Similar to the problems of nutrient addition in limnology, tests of equivalence in pharmacology to test Drug A against Drug B and against Drugs A&B together, vs. a placebo. In environmental toxicology, a similar problem arises with testing effects of pesticide A, B, and A+B, against controls. Many different data analysis approaches are used with these problems.

Figure 7 shows why longer term means are useful. For example figure a has a spike in TN and TP and a decline in benthic chlorophyll. This could be a sloughing event and the TN and TP made mostly of lost algae.

Concur, that is our interpretation as well - scour is the most likely cause for the decline in chlorophyll corresponding with spikes in TN and TP. Added the word 'scouring' at line 419, “likely attributable to scouring during high flows...” as shown in the interactive figure SI2.

Figure 8 a. Not sure how you would get chlorophyll per kg of periphyton on the glass frits.

The glass frits serve as an artificial substrate and the analyses of the extracts give a mass and the glass frits have a known area

Reviewer #2

Reviewer 2 General Comments

This manuscript presents the results from a study that used multiple laboratory- and field-based approaches to explore the boundaries of N and P limitation in a group of western US streams that lie along a gradient of anthropogenic nutrient enrichment. Nutrient limitation was assessed using a combination of low-concentration threshold and high-concentration saturation responses with bottle bioassays of a single algal taxon, laboratory growth trials of Lemna and its epiphytes, and deployments of nutrient-diffusing substrates in the field. This is an interesting combination of approaches that could inform the setting of nutrient criteria in streams. Perhaps not surprisingly however, the manuscript struggles to organize all the various components of the results in a clear and logical way. I have both general and specific suggestions for its further improvement.

Overall, the manuscript’s structure is too unorganized and sprawling. Move all the results into the Results section, broken into logical chunks. Then stick to the same structure in the Discussion. Some text could easily be removed without losing any important points. I have tried to point out some examples below.

We are pleased Reviewer 2 found our manuscript of value and we appreciate the detailed review. We have considered the recommendations made about the writing style and we have made revisions.

General Comments

Abstract: The abstract suffers from a number of problems. First, the abstract seemingly uses the terms “limitation” and “saturation” interchangeably. Growth stimulation at low concentrations is also mentioned. These terms all need to be defined and used carefully, as they are not the same thing. This applies in the main body of the manuscript also. Second, more detail about the sites and methods are needed. For example, the response variables of the various tests are not given in the abstract. Readers will want to know what was actually measured (e.g. chlorophyll, biomass, etc) and the context.

Nutrient limitation and saturation are indeed very different, but the abstracts are not the place to expound on such details. If readers are (hopefully) interested in these sorts of details, they will have to read beyond the abstract. Since we realized we were 80 words over PLOS’s 300 word limit for the abstract, some words and details were removed.

Overall, the manuscript’s structure is too unorganized and sprawling. Move all the results into the Results section, broken into logical chunks. Then stick to the same structure in the Discussion. Some text could easily be removed without losing any important points. I have tried to point out some examples below.

Specific Suggestions

1) Line 11: Regardless of N concentration?

Yes, for the N concentrations tested. No room for additional detail in the abstract

2) Line 12: Move “and by about…L P” to the end of the sentence.

OK

3) Line 15: Proportions of nutrients taken up is meaningless without context.

Hopefully readers will be interested enough read beyond the abstract for context. Abstract word limits prevent adding additional detail

4) Line 18: Across all three tests? Just ambient concentrations or amended ones too?

Changed to “all tests and endpoints”

5) Line 32: The potential for N limitation in western US streams has been known for more than forty years, so P limitation is not assumed in the authors’ study region.

That is a good point. We amended the sentence so that it reads “this nutrient management presumption ...” to clarify that we are referring to management strategies, not scientific findings. We concur with the comment that the potential for N limitation has been well known among the stream ecology community, and we discuss that at the beginning of the discussion. However, this point in the introduction is about the presumption made in regulatory ‘TMDL’ nutrient reduction plans used in the US. This is intended to be a crossover paper with regulatory environmental managers among the targeted readers.

6) Line 35: “of which nutrient”

Corrected, thank you

7) Lines 35-36: Here’s a definition of limitation, but it is theoretical, not operationally very useful (how does one measure supply?) and cannot be applied to the methods used here.

This is a fair criticism. As recommended, we added to the sentence that, operationally, nutrient limitation is inferred by limitations in growth rates or standing crops of algae or aquatic plants. We also introduced the counter-condition, saturation, with a reference for more information.

8) Line 48: But mostly it is because concentration is a poor indicator of supply rate.

Revised to acknowledge that ambient concentrations may not reflect supply rates, and added a citation about luxury uptake of nutrients

9) Line 55: “The approach here…”

Corrected, thank you

10) Lines 64-69: Convert to straight text.

We believe this suggestion is to change the numbered list to an in-line list within a paragraph. We made that change

11) Lines 70-96: None of this text belongs in the introduction. Move to the methods or discussion.

We think the introduction is the best place to introduce the study approach and rationale in general terms, and to give context for the methods used. We considered this comment but did not follow this suggestion.

12) Lines 99-100: Duplication of “evaluate” and “evaluation.” Used again in the next sentence.

Changed second “evaluation” to “test”

13) Line 154: “for a common”

Corrected, thank you

14) Line 181: How is it subtly different?

The differences were described in the preceding sentences, but this particular statement probably just added confusion. Sentence deleted.

15) Lines 191-194: What were the treatments?

The treatments are listed in Table 3

16) Line 196: How were the plants subsamples for some of these responses (e.g. root length)?

Added that these measurements were made on 10 randomly selected plants per aquaria

17) Line 197: What is an “effect concentration”? What about the other responses? How were they analyzed?

Changed to: ‘For endpoints which responded to treatments, effects concentrations associated with percentile increases were estimated...’

18) Line 245: I am not sure that I buy that this step function is real.

We make it clear at lines 366-370 that these responses were unexpected. However, the data are what they are, variability was low, and we suggest a plausible mechanism (epiphyte competition). We recognize that different readers may interpret the results differently. We make all the data easily available such that readers could make their own interpretations if they wish. Maybe our interpretation will stand the test of time, maybe not. We think this is how open science should work.

19) Line 249: How was the periphyton sampled?

Added sentence to methods near line 197 that periphyton was scraped from the aquaria walls.

20) Line 281: Change “ruined” to “lost”

The word “lost” would be the correct word if at the end of the experiment we couldn’t find the NDS vials - that is, they were missing. They were not missing. They were ruined.

21) Line 282: “in all treatments”

Corrected, thank you

22) Line 282-283: Avoid empty figure citations such as these. Cite the plot while describing it instead.

Reasonable point. Deleted this transitional sentence.

23) Line 302: These aren’t conclusions. Change to something like “Results from the NDS experiments…”

The table includes nutrient limitation conclusions from the statistical testing, and these conclusions are accompanied by co-occurring environmental conditions. We think the table title is accurate, descriptive, and concise.

24) Line 319: An alternative conclusion is that strict co-limitation lends itself to control of just one of the nutrients.

That’s a fair point, and we agree it is reasonable to mention it here. Two sentences were added with citations to two papers that we thought captured this debate well. However, we are keeping it limited, cognizant of the earlier complaint from Reviewer 2 of a “sprawling’ discussion.”

25) Lines 334-350: Maybe this text on suppression could be moved to later in the discussion. It is a minor component of the results.

We concur that this is not a major component of the results, however, the limitation, saturation, and inhibition aspects of the NDS are all related and it flows better to keep them together.

26) Line 358: I suggest that the authors move all these results to the results section. There is no real reason to wait until the discussion to present these data. It just makes for a longer and more confusing Discussion.

The N:P ratios are secondary interpretations from the experimental results, and pool results across all tests and endpoints. Thus, it seems to fit in the Discussion, and splitting it up would unnecessarily increase length. Just because a point of discussion is illustrated with a graph, it does not follow that the graph must appear in the Results section

27) Line 366: Again, I question the validity of the step function.

Please see the response to Reviewer 2’s comment #18

28) Line 380: “Account for the large…”

Corrected, thank you

29) Line 381-405: This section is long and does not add much to the manuscript. It’s hard to know what Lemna can tell us about macrophytes generally.

What Lemna can tell us (or not) about macrophytes, the dominant primary producers in some of our streams, generally is indeed the purpose of this section: What Lemna can tell us about macrophytes generally and the challenges of testing different macrophytes with different life histories. We posit that duckweed is likely to at least be relevant to the forms that do not have robust root structures

30) Line 397: Use another term instead of “shape shifters”

The ability of some taxa to shift their shapes under different flow conditions is truly remarkable, especially the Potamogetons. This seems a reasonable thing to mention.

31) Line 409: “suggests why” (the subject is “magnitude”)

Corrected, thank you

32) Line 415: Why can P concentrations be ignored?

We concur that this could be considered too conclusive. Toned down to “therefore, the N concentrations may be focused upon.”

33) Line 444: “allow” (the subject is “periods”)

Corrected, thank you

34) Line 456: Again, this should be in the results.

In our approach, the primary results presented in the Results section are the experimental results. Secondary analyses exploring implications or to help interpret independent field surveys are what we consider to be discussion.

35) Line 510: Use another term instead of “knobs”

OK. Changed to ‘functions’

36) The text’s font size switches between sentences in the manuscript, which is distracting to reviewers.

Thank you. We have given the text another going over and hopefully have caught all these.

37) Phosphorus is often misspelled throughout the manuscript.

Thank you. Three “phosphorous” instances were found and corrected to “phosphorus.”

38) Throughout: N-limited, P-limited, community-level, low-nitrogen, nutrient-saturated, rate-limited when modifying a noun.

We took another pass through the text looking for these instances. The ‘rules’ for hyphenating are a bit complicated, but we believe we have addressed any ambiguity.

39) Fig. 4: Just because a logistic model fits these data does not mean that the fit is valid or biologically meaningful. I am not convinced.

Please see the response to Reviewer 2’s comment #18

40) Fig. 9: The legend states that there are top, middle and bottom plots.

Thank you for catching those relicts of an earlier version.

Attachment

Submitted filename: Rebuttal letter.docx

Decision Letter 1

Frank Onderi Masese

3 May 2021

PONE-D-20-39177R1

Nutrient limitation of algae and macrophytes in streams: integrating laboratory bioassays, field experiments, and field data

PLOS ONE

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PLOS ONE

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Reviewer #2: (No Response)

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Reviewer #2: Review of PONE-D-20-39177R1 – “Nutrient limitation of algae and macrophytes in streams: integrating laboratory bioassays, field experiments, and field data” by Mebane, Ray and Marcarelli.

This manuscript presents the results from a study that used multiple laboratory- and field-based approaches to explore the boundaries of N and P limitation in a group of western US streams that lie along a gradient of anthropogenic nutrient enrichment. Nutrient limitation was assessed using a combination of low-concentration threshold and high-concentration saturation responses with bottle bioassays of a single algal taxon, laboratory growth trials of Lemna and its epiphytes, and deployments of nutrient-diffusing substrates in the field. I reviewed the original version of the manuscript. Overall, I find that the revision improved, even if the authors stuck to their guns regarding some of my criticism. I have both general and specific suggestions for its further improvement.

General Comments

More detail is needed about how the water samples were treated and analyzed. “Total” concentrations usually indicate that the sample is unfiltered and digested. Is this what the authors mean? If the authors actually mean “total dissolved” or “dissolved inorganic” then this should be made clear by laying it out in the methods and using the correct terminology.

Specific Suggestions

1) Line 3: “…with water collected from nine streams in an agricultural…”

2) Line 4: “alga”

3) Line 5: “…test of periphyton were conducted with nutrient-diffusing…”

4) Line 8: Periphyton? Do the authors mean epiphyton?

5) Line 11: “alga”

6) Line 14: Font size changes.

7) Line 19: “Our approach…”

8) Lines 16-18: Do the authors mean total dissolved concentrations here?

9) Line 44: Italicize r

10) Lines 80-84: If this paragraph is a justification for using Lemna then make it clearer. As is stands, this paragraph doesn’t make much sense. I still disagree with the authors about the need to put these methods-related sections in the introduction.

11) Line 117: “Streams are listed in order…”

12) Line 137: Missing period.

13) Line 149: “to the ambient water samples”?

14) Line 179: “algal species”

15) Line 198: Provide details of software.

16) How were these water samples filtered and analyzed? This is important in interpreting the results, as well as what the authors mean by “total” concentrations.

17) Line 235: What kind of function was fit to the curve?

18) Line 250: Insert comma after “regression”

19) Line 262 and 264: “was removed”

20) Line 329: “alga”

21) Line 332: “tests”

22) Line 375: Insert comma after “treatments”

23) Line 431: “instream”

24) Throughout: N-limited, P-limited, community-level, single-species, dual-nutrient, nutrient-saturated, nutrient-diffusing, rate-limited where modifying a noun.

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PLoS One. 2021 Jun 18;16(6):e0252904. doi: 10.1371/journal.pone.0252904.r004

Author response to Decision Letter 1


9 May 2021

We have responded to all comments raised in the review of Revision 1 and have attached a point-by-point accounting of these in the file "Responses to comments R2.docx"

Attachment

Submitted filename: Responses to comments R2.docx

Decision Letter 2

Frank Onderi Masese

25 May 2021

Nutrient limitation of algae and macrophytes in streams: integrating laboratory bioassays, field experiments, and field data

PONE-D-20-39177R2

Dear Dr. Mebane,

We’re pleased to inform you that your manuscript has been judged scientifically suitable for publication and will be formally accepted for publication once it meets all outstanding technical requirements.

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Kind regards,

Frank Onderi Masese, Ph.D

Academic Editor

PLOS ONE

Additional Editor Comments (optional):

Reviewers' comments:

Acceptance letter

Frank Onderi Masese

10 Jun 2021

PONE-D-20-39177R2

Nutrient limitation of algae and macrophytes in streams: integrating laboratory bioassays, field experiments, and field data

Dear Dr. Mebane:

I'm pleased to inform you that your manuscript has been deemed suitable for publication in PLOS ONE. Congratulations! Your manuscript is now with our production department.

If your institution or institutions have a press office, please let them know about your upcoming paper now to help maximize its impact. If they'll be preparing press materials, please inform our press team within the next 48 hours. Your manuscript will remain under strict press embargo until 2 pm Eastern Time on the date of publication. For more information please contact onepress@plos.org.

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PLOS ONE Editorial Office Staff

on behalf of

Dr. Frank Onderi Masese

Academic Editor

PLOS ONE

Associated Data

    This section collects any data citations, data availability statements, or supplementary materials included in this article.

    Supplementary Materials

    S1 Fig. This figure showing (1) biomass (as AFDM) responses to nutrient enrichment and (2) interactive plots of time series nutrient, organic carbon, streamflow, benthic algae, and macrophytes in the study streams.

    (PDF)

    S2 Fig. This figure showing (1) biomass (as AFDM) responses to nutrient enrichment and (2) interactive plots of time series nutrient, organic carbon, streamflow, benthic algae, and macrophytes in the study streams.

    (PDF)

    S1 File. This includes more details and photographs of the study sites.

    (PDF)

    S2 File. This shows site locations, accessible through spatial viewers such as QGIS or Google Earth.

    (KML)

    S1 Image

    (JPG)

    Attachment

    Submitted filename: Rebuttal letter.docx

    Attachment

    Submitted filename: Responses to comments R2.docx

    Data Availability Statement

    The experimental data on which this article relies are available from a data repository (https://doi.org/10.5066/f72r3psj) and the field data are available from a data report (https://doi.org/10.3133/ds517).


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