Annual boom bust cycles of polar phytoplankton biomass revealed by space-based lidar

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In the format provided by the authors and unedited. SUPPLEMENTARY INFORMATION DOI: 1.138/NGEO2861 Annual boom bust cycles of polar phytoplankton biomass revealed by space-based lidar Michael J. Behrenfeld, Yongxiang Hu, Robert T. O Malley, Emmanuel S. Boss, Chris A. Hostetler, David A. Siegel, Jorge L. Sarmiento, Jennifer Schulien, Johnathan W. Hair, Xiaomei Lu, Sharon Rodier and Amy Jo Scarino NATURE GEOSCIENCE www.nature.com/naturegeoscience 1 216 Macmillan Publishers Limited, part of Springer Nature. All rights reserved.

SUPPLEMENTARY DISCUSSION (1) Phytoplankton Carbon Retrievals: For the current study, phytoplankton biomass (C phyto ) is estimated from satellite retrievals of particulate backscatter coefficients (b bp ) following the relationship given in equation 2 of the Methods section. The scalar in this relationship (i.e., 12,128 mg C m -2 ) was determined using co-located field measurements of b bp and analytically measured phytoplankton carbon 1. These measurements were conducted over a wide range of ecosystem conditions (e.g., equatorial upwelling, open ocean gyres, temperate bloom forming regions), but none of the measurements included polar samples. We have no apriori reason to suspect that a different mean relationship exists for polar regions, but if it does then its primary impact is expected to be an adjustment in derived absolute phytoplankton biomass values, with little (if any) impact on derived biomass rates of change. Consequently, the main conclusions of our study are expected to be robust to this uncertainty. Other factors can also contribute to variability in the b bp to C phyto relationship, such as suspended particulate inorganic carbon, glacial flour, and suspended sediments. However, for the current analysis where data are integrated over vast polar regions, these more local phenomena should have only secondary impacts on derived annual plankton properties and are not expected to compromise our conclusions. Finally, it should be noted that, while the method for analytically measuring phytoplankton carbon is relatively new 2, a diversity of studies have been conducted supporting the use of b bp data as a metric of phytoplankton biomass 3-9. Together, these studies significantly expand the range of conditions under which relationships between phytoplankton biomass and light scattering properties have been evaluated, albeit again without polar samples. Nevertheless, future studies

providing new data from polar regions will contribute to improved assessments of phytoplankton biomass (2) Analysis of uncertainty in derived dμ/dt associated with parameters describing phytoplankton physiology: A central finding of the current study is that the rate of change in phytoplankton biomass (r) is linked to the rate of change in phytoplankton division (dμ/dt). Temporal variations in modeled dμ/dt values reflect variations in the time-dependent variables, MLD, PAR, P C max, and α C (main manuscript Eq. 1; Methods Eq. 4), with the two latter terms characterizing variations in phytoplankton physiology. To evaluate the sensitivity of derived dμ/dt estimates on the two physiological terms, we operated our NPP model with P C max decreased (Alternative Model #1) and increased (Alternative Model #2) by a factor of 1.5 from the values calculated as described in the Methods section (i.e., the Standard Model ) and with α C values based on an earlier description of Chl:C variability 8 (Alternative Model #3 in the figure on the left). Regarding this latter adjustment, our standard model assigns a Figure Caption: Comparison of (top) North Polar Zone and (bottom) South Polar Zone time series in Standard Model dμ/dt and values calculated using alternative values for P C max and α C (see description in text). value to α C based on the recent

Chl:C model of Behrenfeld et al. 1, which represents an upper end model of the photoacclimation response. By contrast, the model of Westberry et al. 8 assigns a very conservative fraction of Chl:C variability to photoacclimation and thus represents a lower end response model. Results from these reparameterizations of our NPP model (figure on previous page) indicate only minor changes in the amplitude of calculated annual cycles in dμ/dt associated with these rather significant changes in P C max, and α C. Furthermore, the regression analyses of dμ/dt from the Standard Model and values from any of the Alternative Models give coefficients of determination of r 2 =.99 for both the North and South Polar Zones, indicating that the model variations slightly impact the amplitude of dμ/dt values but have negligible impact on the annual cycles of, and thus the correlation between, dμ/dt and r.

References 1. Graff, J.R., et al. Analytical phytoplankton carbon measurements spanning diverse ecosystems. Deep Sea Res. 12, 16-25 (215). 2. Graff, J.R., Milligan, A.J. & Behrenfeld, M.J. The measurement of phytoplankton biomass using flow-cytometric sorting and elemental analysis of carbon. Limnol. Oceanogr.: Meth. 1, 91-92 (212). 3. Behrenfeld, M.J. & Boss, E. The beam attenuation to chlorophyll ratio: an optical index of phytoplankton photoacclimation in the surface ocean? Deep Sea Research. 5, 1537-1549, (23). 4. Behrenfeld, M.J. & Boss, E. Beam attenuation and chlorophyll concentration as alternative optical indices of phytoplankton biomass. J. Mar. Res. 64, 431-451 (26). 5. Westberry, T.K, Dall Olmo, G., Boss, E., Behrenfeld, M.J. & Moutin, T. Coherence of particulate beam attenuation and backscattering coefficients in diverse open ocean environments. Optics Express. 18, 15,419-15,425 (21). 6. Dall Olmo, G., Westberry, T.K., Behrenfeld, M.J., Boss, E. & Slade, W.H. Significant contribution of large particles to optical backscattering in the open ocean. Biogeosciences. 6, 947 967 (29). 7. Behrenfeld, M.J., Boss, E., Siegel, D.A. & Shea, D.M. Carbon-based ocean productivity and phytoplankton physiology from space. Global Biogeochem. Cycles, 19, GB16, doi:1.129/24gb2299 (25).

8. Westberry, T.K., Behrenfeld, M.J., Siegel, D.A. & Boss, E. Carbon-based primary productivity modeling with vertically resolved photoacclimation. Global Biogeochem. Cycles. 22, GB224, doi:1.129/27gb378 (28). 9. Martinez-Vicente, V., Dall'olmo, G., Tarran, G., Boss, E. & Sathyendranath, S. Optical backscattering is correlated with phytoplankton carbon across the Atlantic Ocean. Geophys. Res. Lett. 4, 1154-1158 (213). 1. Behrenfeld, M.J., et al.. Revaluating ocean warming impacts on global phytoplankton. Nature Climate Change. 6, 323 33 (216).

Supplementary Table 1. Linear regression analysis of relationships between seasonal mean ice-free ocean area (IFA; km 2 1 6 ), polar zone average phytoplankton concentration (C; mg C m -3 ), and polar zone integrated photic layer phytoplankton biomass (EC polar ;Tg C). (Column 1) Regression analyses were conducted separately for all data from the CALIOP record (Fig. 4) and for winter and summer months only. (Column 2) For each time period, relationships were evaluated separately for northern (6 o to 81.5 o N) and southern (6 o to 75 o S) polar zones. (Columns 3 6) Regression result for (Row 1) IFA versus EC polar, (Row 2) C phyto versus EC polar, and (Row 3, shaded) Cross-correlation between IFA and C phyto. Time Period Hemisphere Regression Slope r 2 p value All data Northern IFA vs EC polar 1.16.2.5 C phyto vs EC polar.18.8 <.1 IFA vs C phyto (cross correlation).1.3.33 Southern IFA vs EC polar.6.72 <.1 C phyto vs EC polar.1.11.5 IFA vs C phyto (cross correlation)...97 Summer Northern IFA vs EC polar 2.33.32.9 (June-Aug) C phyto vs EC polar.18.84 <.1 IFA vs C phyto (cross correlation).1.8.44 Southern IFA vs EC polar.71.75.3 (Dec-Feb) C phyto vs EC polar.15.12.37 IFA vs C phyto (cross correlation) -.9.3.67 Winter Northern IFA vs EC polar -.3.6.52 (Dec-Feb) C phyto vs EC polar.8.75.3 IFA vs C phyto (cross correlation) -.4.2.22 Southern IFA vs EC polar.35.69.3 (June-Aug) C phyto vs EC polar.8.78 <.1 IFA vs C phyto (cross correlation).12.36.7

a b Supplementary Figure 1. CALIOP ground tracks achieved within a single 16 day repeat cycle. (a) Northern hemisphere 45 o latitude. (b) Southern hemisphere 45 o latitude. Red circles delineate 1 o latitudinal integration bins used in supplemental figure 2 and 4.

Northern Bins Southern Bins 2 45 o 55 o N 45 o 55 o S 4 Number of observed pixels per month 1 2 1 2 1 2 55 o 65 o N 65 o 75 o N 75 o 81.5 o N 55 o 65 o S 65 o 75 o S 27 29 211 213 215 2 4 2 2 1 Number of observed pixels per month 1 = MODIS = CALIOP 27 29 211 213 215 Supplementary Figure 2: Comparison of CALIOP and MODIS pixel coverage per month per 1 o latitudinal bin. White symbols = Total number of 1 o latitude 1 o longitude ice free ocean pixels per month with valid MODIS b bp data. Black symbols = Total number of 1 o latitude 1 o longitude ice free ocean pixels per month with valid CALIOP b bp data (left panels) Northern hemisphere latitudinal zones as shown in Supplemental figure 1. (right panels) Southern latitudinal zones as shown in Supplemental figure 1.

North Polar Zone Phytoplankton biomass (mg C m 3 ) 75 5 25 South Polar Zone 27 29 211 213 215 Phytoplankton biomass (mg C m 3 ) 5 25 27 29 211 213 215 = MODIS = CALIOP Supplementary Figure 3: Comparison of CALIOP and MODIS phytoplankton biomass records for the Polar Zones. Monthly mean phytoplankton biomass (C phyto ; units = mg C m 3 ) for (top panel) North Polar Zone and (bottom panel) South Polar Zone (i.e., 6 o ). White symbols = MODIS. Black symbols = CALIOP. Vertical yellow bars = months with no MODIS data for at least one of the 1 o latitudinal zones shown in Supplemental figure 1. For multiple annual cycles, particularly in the South Polar Zone, MODIS biomass values are notably lower than CALIOP values for the first month of MODIS data. This bias is in part due to MODIS data coverage being very poor during the first month (often <1% area coverage; Supplemental Fig. 2) and biased toward lower latitudes of the Polar Zone due to solar illumination conditions. Active measurements by CALIOP, in contrast, are more evenly distributed across the Polar Zone because they are not dependent on solar angle and can even be collected during polar night. In the above time series for the North Polar Zone, there are also occasions where MODIS biomass values are significantly higher than CALIOP values during the summer maximum (e.g., 27 and 213). As indicated in Supplemental figure 4, these discrepancies are largely attributable to the northernmost latitudes (75 o 81.5 o ) where both MODIS and CALIOP coverage is weakest and co located retrievals are least likely.

6 45 o 55 o Northern Bins r 2 =.85 45 o 55 o Southern Bins r 2 =.79 3 Phytoplankton Biomass (mg C m 3 ) 6 3 6 3 6 3 55 o 65 o 65 o 75 o 75 o 81.5 o r 2 =.85 r 2 =.65 r 2 =.15 27 29 211 213 215 55 o 65 o 65 o 75 o 27 29 211 213 215 = MODIS = CALIOP r 2 =.74 r 2 =.46 Supplementary Figure 4: Comparison of CALIOP and MODIS phytoplankton biomass records for 1 o latitudinal zones. Monthly mean phytoplankton biomass (C phyto ; units = mg C m 3 ) for (left panels) northern hemisphere and (right panel) southern hemisphere latitudinal zones polarward of 45 o as shown in Supplemental figure 1. White symbols = MODIS. Black symbols = CALIOP. Latitudinal zones are indicated in blue text for each panel. Correspondence between MODIS and CALIOP biomass values is indicated by the coefficient of determination (r 2 ) shown in red text.

Long term ice free area anomaly (km 2 * 1 6 ) North Polar Zone South Polar Zone 2 1 1 CALIOP CALIOP 1975 1985 1995 25 215 1975 1985 1995 25 215 4 2 2 4 Long term ice free area anomaly (km 2 * 1 6 ) Supplementary Figure 5: 1978 to 216 monthly anomalies in polar zone ice free ocean area. Left panel = North polar zone (6 o N 81.5 o N). Right panel = South polar zone (6 o S 75 o S). Gray shaded area = period of CALIOP measurements (26 215). Note that large spikes in the anomaly records result from temporal shifts in the timing of annual ice melt and ice formation.

a. North Polar Zone division rate of change (d 1 ) PAR SST.18.9.9.18 4 2 5 MLD Z eu 27 29 211 213 215 1 b. South Polar Zone division rate of change (d 1 ) PAR SST.18.9.9.18 4 2 5 1 MLD Z eu 27 29 211 213 215 15 Supplementary Figure 6: 26 to 216 time series of division rate of change (dµ/dt), incident photosynthetically active radiation (PAR; mole quanta m 2 d 1 ), sea surface temperature (SST; o C), mixed layer depth (MLD; m), and photic layer depth (Zeu; m). (a) North Polar Zone. (b) South Polar Zone. Note that it is the strong annual cycles in MLD and PAR that primarily drive the annual cycle in dµ/dt, whereas the highly constrained annual cycles in SST have a minor impact on modeled dµ/dt.