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Downscaling global ocean climate models improves estimates of exposure regimes in coastal environments

Study region

Monterey Bay is the largest bay on the California coast, and has a total area of approximately 1,162 km2 (Fig. 1). Due to upwelling, the bay is highly productive and supports dense kelp forests, dominated by Macrocystis pyrifera, on rocky reefs that extend to approximately 20 m depth27. These forests have the capacity to regulate pH28,29,30 and sustain over 200 different species, from phytoplankton to marine mammals31.

Temperatures are the coolest in Monterey Bay during spring and early summer due to wind-driven upwelling32, driven by equatorward winds blowing over the California coast causing offshore Ekman transport33. During the same months, filaments of water originating from Point Año Nuevo to the north are trapped within the Bay, where they warm due to solar radiation, forming a lens of warm water close to shore34,35 (Fig. 1). Furthermore, a weak cyclonic eddy is observed within the bay due to the coastal geometry32,34. Inside the bay, sea breezes and tides drive diurnal and semi-diurnal currents that can lead to significant variability in environmental conditions17,36. During the upwelling period, salinity is approximately 34, temperature ranges from 9 to 13 °C at 17 m depth7, DO varies from as low as 100 μmol kg−1 (3.2 mg L−1 for T = 13 °C, S = 34 at 17 m) to as high as 300 μmol kg−1 (9.62 mg L−1 for T = 13 °C, S = 34 at 17 m), and pH varies from 7.7 to 8.13 (Supplementary Fig. 1).

The three primary barotropic tidal constituents in the region (M2, K1, and S2) are responsible for over 80% of the tidal amplitude observed18. In the southern region of the bay, tides are mainly responsible for the cross-shelf velocity36 and the interaction of these surface tidal currents with the steep topography create internal tides comprised of internal waves and bores occurring at tidal frequencies37,38. Internal tides are formed when currents move over steep slopes, dense waters are forced into shallower regions, and, as these waters sink back to depth, an internal wave is generated39. These internal waves have speeds8 on the order of 0.05–0.2 m s−1 and, as the coast steepens, can break forming internal bores that move upslope and bring cold, low DO, low pH waters into nearshore kelp forest ecosystems40. During upwelling, these processes drive variability in temperature, pH and DO over semi-diurnal and diurnal periods that can exceed the predicated changes in mean conditions predicted by global climate models for year 210041.

Model description

To better understand how tides and winds affect exposure of nearshore organisms to variability in temperature, DO, and pH under current and RCP climate scenarios, we used dynamic downscaling and developed a 2D coupled biogeochemical hydrodynamic model using ROMS42. The model domain was created based on the Monterey Bay continental shelf described in Walter et al.6 with a maximum offshore depth of approximately 80 m (Fig. 2). The biogeochemical model used is described in Fennel et al.43,44. We forced the model with representative wind (diurnal sea breeze accounting for regional winds), solar radiation, and tidal currents for the Monterey Bay region (Supplementary Figs. 2–6; Supplementary Table 1). Detail of the full model structure, including boundary and initial conditions, are included in the “Supplementary Information”.

Figure 2

Snapshot of model crosshore velocity and temperature (contour lines) on 8 July 2013. Positive values are onshore, negative values are offshore. Contour lines (black) show isotherms with temperature labels.

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We estimated depth profiles for temperature, DO, and pH for the downscaled coupled hydrodynamic-biogeochemical model. We considered a homogeneous salinity (S = 34) for the entire domain since the variation in salinity is less than 0.4 over an entire year and less than 0.05 during the upwelling season in the Monterey Bay region27. Thus, initial and boundary stratification are assumed to be controlled by temperature alone. We represent initial (IC) and boundary conditions (BC) for temperature, DO, and pH using:

$$ {text{var}} left( {text{z}} right) = left{ {begin{array}{*{20}l} {Delta {text{var}} ;{text{D}}_{{{text{pyc}}}}^{alpha } } hfill & {{text{if}};{text{z}} ge {text{D}}_{{{text{pyc}}}} } hfill {Delta {text{var}} ;{text{z}}^{alpha } } hfill & {{text{otherwise}}} hfill end{array} } right. $$

(1)

where var is the identified variable (e.g. temperature), z is the depth, α is a fit coefficient for each variable determined from a least-squares fit to observational data, and Dpyc is the depth of the pycnocline. We used this method to estimate profiles of temperature, dissolved inorganic carbon (DIC), and DO for present and all downscaled future scenarios setting Dpyc to 17.5 m. The data used for the initial and boundary conditions (BC) of phytoplankton and chlorophyll profiles were taken from Schuckmann et al.45. The initial chlorophyll concentration was converted to zooplankton concentration (zoop = 0.34 × 10–3 mmol m−3) using Eq. 3 from Wiebe46, a method that has been used in other studies47,48. Detritus was initially set to zero in the entire domain. All biogeochemical variables were forced hourly at the southern boundary.

For each scenario, we estimated depth profiles for temperature, dissolved oxygen, and DIC using Eq. (1). In order to fit Eq. (1), we obtained our estimated values of each variable near the surface, at 80 m depth on the shelf during upwelling for Present and 200 m depth for Future, respectively. We used 200 m depth from the future data set as this is the most common depth of source waters for upwelling in the region49. Present surface and bottom values of temperature, DO, total alkalinity (TA), and DIC for present scenario were based on Koweek et al.27. The mean of the 3-month period of strong upwelling (May, June, and July) was used to obtain values of temperature (surface and depth), oxygen (surface), and DIC (surface) from Representative Concentration Pathway (RCP) for the year of 2100 from the 4th report of the IPCC50. Since only surface values for DO and DIC and no values for TA were available, we estimated values for these parameters at depth.

For DIC, we assumed that the ratio between surface and bottom values (80 m for Present and 200 m for Future) in present conditions will not change for future scenarios:

$$frac{{DIC}_{Surf}^{Present}}{{DIC}_{Bottom}^{Present}}=frac{2073}{2280}= 0.909$$

(2)

Therefore, to find the bottom values for future scenarios we divided RCP surface values by this ratio:

$$frac{{DIC}_{Surf}^{RCP8.5} }{0.909}= frac{2167 }{0.909} = 2384;mathrm{mmol;C};{mathrm{m}}^{-3}$$

(3)

Surface and bottom TA values were kept the same as present conditions, following Feely et al.3. For DO, bottom values for RCP 2.6 and 8.5 were approximated from Figs. 5 and 6 of Bopp et al.51. We calculated the ratios between surface and bottom DO for Present, RCP 2.6, and RCP 8.5. The ratio of surface:bottom DO was not constant across scenarios, so we approximated the ratios for RCPs 4.5 and 6.0 using linear least squares fit (Table 1; example calculation in the “Supplementary Information”). We, then applied the values from Table 1 in order to calculate α assuming Dpyc = 17.5 m. We then used Eq. (1) to generate the initial and boundary conditions (Fig. 3).

Table 1 Values for present (empirical data) and future (global ocean models) surface and estimated bottom conditions used to fit Eq. 3 and used as boundary conditions for the downscaled model runs.

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Figure 3

Initial and Boundary Conditions profiles for present and future scenarios: (a) temperature, (b) O2, (c) DIC, (d) pH.

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We calculated pH and Ωar using the CO2SYS52 package in MATLAB using temperature, salinity, DIC, and Total Alkalinity (TA) from the simulations at the offshore location where the bottom depth was 15 m. We assumed concentrations of phosphate and silica based on Koweek et al.27. We used dissociation constants for H2CO3 and HCO3 from Dickson and Millero53 and hydrogen sulfate ion constant (HSO-4) from Dickson54. All surface oxygen values were shifted positively 60 mmol m−3 (1.87 mg L−1 for T = 13 °C and S = 34) in order to simulate the high primary production due to kelp forests29, which is not specifically accounted for in the model. Overall, temperature at the bottom remained constant across all scenarios, with exception of RCP6.0 where temperature increased 0.2 °C (Supplementary Table 2).

Integrated exposure

Field observations24,55 and laboratory experiments5,56 have shown that below sub-lethal thresholds marine organisms inhabiting nearshore marine habitats in upwelling systems exhibit signs of physiological stress when exposed to elevated temperatures, low oxygen levels, or low pH waters, which is especially detrimental especially for calcifying species. Exposure of organisms to stressful temperature, DO, and pH conditions (φth where φ refers to temperature, DO, or pH) was done by subtracting the threshold value for a given organism and life stage from the model or observational data at 15 m water depth, then setting all positive values to zero for pH and O2, and all negative values to zero for temperature. Next, we estimated integrated exposure (Eint) by integrating absolute exposure over a period of a week with a window interval of 1 h:

$$ emptyset^{prime} = emptyset – emptyset_{th} left{ {begin{array}{*{20}c} {emptyset^{prime} > 0 to emptyset^{prime} = 0;for;pH;and;O_{2} } {emptyset^{prime} < 0 to emptyset^{prime} = 0;for;temperature} end{array} } right. $$

$$ E_{int} = mathop int limits_{0}^{t} left| {emptyset^{prime}} right|dt $$

(4)

Thresholds of temperature, dissolved oxygen and pH (16 °C57, 4.8525 mg L−1, and pH of 7.523 respectively) representing non-interactive negative impacts on juvenile red abalone growth were based on literature values5,23,57. Integrated exposure quantified the time and degree of stress an organism experiences, similar to the degree heating week with units of oC w, or day (oC d) measure used to estimate thermal stress on coral reefs58, and has been previously used to understand the exposure of juvenile abalone populations to similar stressors in an empirical field study57. Overall, red abalone threshold values chosen had a strong negative effect on the species5,23,57, therefore, we used Eint as a proxy for estimating the potential impact of future conditions on abalone growth and survival.

Fertilization response

We estimated fertilization success using results of Boch et al.25 where the fertilization response of red abalone (Haliotis rufescens) was quantified in response to multiple stressor climate conditions (high temperature, low DO, and low pH). Fertilization in abalone occurs over relatively short periods, therefore Eint would not provide an appropriate estimate in such cases. While the process of fertilization occurs over short periods, adult red abalone exhibit an extended spawning season, over which environmental conditions may vary greatly based on our modeling results. Thus, we used the equations from Boch et al.25 to examine how fertilization success over a one-month period might be affected by environmental variability, specifically the interactive effects of ph and temperature. Changes in DO did not show a strong effect on fertilization in their experiments (Fig. 4; see Supplementary Table 3 for parameter values):

Figure 4

Proportional Fertilization (Prop. Fert.) as a function of pH for red abalone Eq. (5)—blue line; Eq. (6)—black line based on Boch et al.25 (Fig. 4a,c). For our study we used 15.5 °C as a transition between the two curves shown.

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For temperatures = 13 °C:

$$ {text{Logit}};left( {% Fert.} right) = left{ {begin{array}{*{20}l} {{upbeta}_{0} + {upbeta}_{{{text{pH}}}} {text{pH}}} hfill & {{text{for}};{text{pH}} le {text{BP}}} hfill {left( {{upbeta}_{{{text{pH}}}} + left( {{upbeta}_{2} – {upbeta} } right)} right){text{pH } – text{ offset}}} hfill & {{text{for}};{text{pH}} > {text{BP}}} hfill end{array} } right. $$

(5)

For Temperatures = 18 °C:

$$mathrm{Logit};(mathrm{%}Fert.)= {upbeta }_{0} + ({upbeta}_{mathrm{p}H} + {upbeta }_{mathrm{A}})mathrm{p}H + {upbeta }_{mathrm{B}}$$

(6)

where ({upbeta }_{0}) and ({upbeta }_{mathrm{pH}}) are intercepts, (upbeta ) and ({upbeta }_{2}) are slope segments, ({upbeta }_{mathrm{A}}) is slope of the pH-temperature interaction (pH × Temperature Group), ({upbeta }_{mathrm{B}}) is accounts for high temperature effects, and BP is the curve breaking point. Since only curves for 13 °C and 18 °C were available, we used 15.5 °C as a transition where Eq. (5) was applied for temperature less than 15.5 °C and Eq. (6) was applied for temperature greater than 15.5 °C. Since more complex interpolation schemes yielded similar results, we used this straightforward method for clarity.

Model evaluation

We first assessed whether the oceanographic model was able to reproduce current (observed) oceanographic conditions in Monterey Bay. The model was expected to reproduce the main dominant semi-diurnal and diurnal periods of oscillations observed in the region as well as primary production regulation of DO and pH (excluding kelp) in the biogeochemical model. We had two requisites to consider the model performance satisfactory. First, we required that the model was capable of reproducing local minima for DO. Second, the model needed to be capable of reproducing the mean and extremes for temperature and pH. In addition, we anticipated observing lower values of DO in surface waters since we did not account for the higher primary productivity observed in kelp forests20, and therefore, DO oversaturation. To evaluate the biogeochemical model, we compared chlorophyll concentration in the model to satellite-derived chlorophyll estimates for the region. Monthly mean depth averaged chlorophyll by area (mg Chl m−1) was calculated for the model and for the months of May, June, and July from Sea-Viewing Wide Field-of-View Sensor (SeaWiFS)59 for the period of 2010–2017 to the closest region with data available next to our model simulation (cross section region in Fig. 1). Chlorophyll concentrations in the model were 2.12 mg Chl m−3 compared to 4.02 mg Chl m−3 estimated from SeaWifs. Thus, modeled values were within the range observed in the satellite data over this period.

In order to validate temporal variability in the model results, we estimated power spectra using the Thomson Multi-taper method (MTM)60. This method was chosen due to its robustness for stationary data with low variance. Power spectra allowed us to quantify the variability by frequency and confirm that the model was reproducing variability at dominant periods (M2, K1) observed in the region, as initial and boundary conditions in the model were based on regional observations. We applied the analysis over a 3-week window of upwelling for temperature, DO, and pH and compared with Booth et al.7 data (Fig. 5). Spectral analysis was used to ascertain the dominate temporal constituents of temperature, DO, and pH for all scenarios (present and RCP) between 12- and 24-h periods. The spectra were then integrated numerically to calculate the variability of temperature, DO, and pH, and the 95% confidence interval at each frequency band. Bootstrap analysis was applied to the integrated exposure calculation for each variable. In order to assure convergence in our estimates, 1,000 iterations with replacement were done using a sample size of 50% of the data. In the end, the confidence interval (CI) was calculated based on 2.5% percentile and 97.5% percentile of the distribution of the estimated means.

Figure 5

Time series for in situ5 and model data and power spectra of temperature (a,b), DO (c,d), and pH (e,f). Time series for the model was shifted to match tidal phase of the in situ data. cpd cycles per day.

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Our model results reflect current variability in temperature, DO, and pH in southern Monterey Bay (Fig. 5). In addition, mean temperature and pH values were not significantly different from in situ data. However, mean DO in our model was lower than present day averages, likely due to the lack of oxygen-producing kelp in our model61. Thus, the model accurately simulates diurnal, semi-diurnal, and higher order tidal components62. For Monterey Bay, diurnal (cycles per day (cpd) = 1) and semi-diurnal (cpd = 1.93) are the main temporal components of variability in temperature, oxygen, and pH and are well represented by our model with overlapping 95% confidence intervals (Fig. 5b,d,f). Higher frequency variability (cpd = 3) is also within the 95% confidence interval when comparing model and observations. However, frequencies occurring between peaks are not well resolved (Fig. 5b,d,f). We expect this is because we used a 2D model, and therefore, the model was unable to resolve all the physical processes occurring in the Monterey Bay. The oscillations between peaks in the observed data were likely due other coastal ocean processes such 3D circulation and ocean surface waves36 (as well as noise in the instruments). However, the variability at these periods did not have an appreciable effect on exposure calculations. Importantly, the model preserved the observed diurnal and semi-diurnal variability that is not present in global and regional scale climate models for future RCP scenarios (Fig. 5a,c,e).

Variability at 15 m

The model was able to simulate the main drivers of variability in temperature, DO, and pH (predominantly internal waves) for the region in study. Internal waves in the domain were seen as vertical changes in the u-component of the velocity (Fig. 2). Cross-shelf velocities ranged from − 0.05 to 0.1 m s−1, and were within the range found in other studies8,18,27. Before the arrival of the internal wave crest, isotherms were tilted downwards indicating previous downwelling. Flow in opposite directions between crests was observed during retreating of internal waves in the domain, as it has been observed in studies on internal waves with in situ data8,9.

High variability in temperature, DO, and pH was observed in all model runs (Supplementary Figs. 7–9). Mean temperatures were 10.63 °C (SD = 0.39), 13.81 °C (SD = 0.46), 15.46 °C (SD = 0.50), 15.45 °C (SD = 0.49), 16.96 °C (SD = 0.95) for present, RCP 2.6, RCP 4.5, RCP 6.0, and RCP 8.5, respectively (Supplementary Fig. 7). Overall, mean temperature increased as expected and exhibited similar variability (standard deviation [SD]) across all RCPs except for RCP 8.5 scenario. This was likely due to increased temperature stratification where surface waters warm faster than deeper waters resulting in higher temperature variability.

Mean dissolved oxygen values were 5.15 mg L−1 (SD = 0.74) for present, 4.80 mg L−1 (SD = 0.88) for RCP 2.6, 5.32 mg L−1 (SD = 0.77) for RCP 4.5, 5.02 mg L−1 (SD = 0.81) for RCP 6.0, and 4.93 mg L−1 (SD = 1.21) for RCP 8.5 (Supplementary Fig. 8). The SD for RCP 8.5 was almost twice that of other scenarios. This was likely due to a stronger gradient in oxygen (surface remains saturated while the values at depth are lower). RCP 2.6 had the lowest mean DO but not different than the rest and RCP 4.5 was 0.52 mg L−1 higher, though not significantly different than the present scenario. The consequence for the lowest mean DO in RCP 2.6 was related to the strength of density stratification61, and therefore, low oxygen at 15 m. Another scenario (not shown) was used where RCP 4.5 oxygen profile was applied using the density stratification from RCP 2.6 and the same low oxygen values found previously were also observed in the alternate run, supporting this mechanism.

pH variability was also high across all model runs (Supplementary Fig. 9). The mean value for pH decreased from 7.73 (SD = 0.07) for present to 7.44 (SD = 0.12) for the RCP 8.5 scenario. RCP 8.5 again had the highest variability among all scenarios. Otherwise, the pH range was ~ 0.075 for all other scenarios. Lower pH for the most extreme scenarios (RCP 6.0 and 8.5) has also been observed in large scale models12.


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A national macroinvertebrate dataset collected for the biomonitoring of Ireland’s river network, 2007–2018

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