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University of South Florida Scholar Commons Marine Science Faculty Publications College of Marine Science 2018 Ecosystem Model of the Entire Beaufort Sea Marine Ecosystem: A Temporal Tool for Assessing Food-Web Structure and Marine Animal Populations from 1970 to 2014 Paul M. Suprenand Mote Marine Laboratory, [email protected] Cameron H. Ainsworth University of South Florida, [email protected] Carie Hoover University of Manitoba Follow this and additional works at: hps://scholarcommons.usf.edu/msc_facpub Part of the Marine Biology Commons is Technical Report is brought to you for free and open access by the College of Marine Science at Scholar Commons. It has been accepted for inclusion in Marine Science Faculty Publications by an authorized administrator of Scholar Commons. For more information, please contact [email protected]. Scholar Commons Citation Suprenand, Paul M.; Ainsworth, Cameron H.; and Hoover, Carie, "Ecosystem Model of the Entire Beaufort Sea Marine Ecosystem: A Temporal Tool for Assessing Food-Web Structure and Marine Animal Populations from 1970 to 2014" (2018). Marine Science Faculty Publications. 261. hps://scholarcommons.usf.edu/msc_facpub/261

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Page 1: Ecosystem Model of the Entire Beaufort Sea Marine

University of South FloridaScholar Commons

Marine Science Faculty Publications College of Marine Science

2018

Ecosystem Model of the Entire Beaufort SeaMarine Ecosystem: A Temporal Tool for AssessingFood-Web Structure and Marine AnimalPopulations from 1970 to 2014Paul M. SuprenandMote Marine Laboratory, [email protected]

Cameron H. AinsworthUniversity of South Florida, [email protected]

Carie HooverUniversity of Manitoba

Follow this and additional works at: https://scholarcommons.usf.edu/msc_facpub

Part of the Marine Biology Commons

This Technical Report is brought to you for free and open access by the College of Marine Science at Scholar Commons. It has been accepted forinclusion in Marine Science Faculty Publications by an authorized administrator of Scholar Commons. For more information, please [email protected].

Scholar Commons CitationSuprenand, Paul M.; Ainsworth, Cameron H.; and Hoover, Carie, "Ecosystem Model of the Entire Beaufort Sea Marine Ecosystem: ATemporal Tool for Assessing Food-Web Structure and Marine Animal Populations from 1970 to 2014" (2018). Marine Science FacultyPublications. 261.https://scholarcommons.usf.edu/msc_facpub/261

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Ecosystem model of the entire Beaufort Sea marine ecosystem: a temporal tool for assessing food-

web structure and marine animal populations from 1970 to 2014

Paul Mark Suprenand1,* Cameron H. Ainsworth2, and Carie Hoover3

1Mote Marine Laboratory, 1600 Ken Thompson Parkway, Sarasota, FL 34236 USA

2University of South Florida, College of Marine Science, 140 7th Avenue South, Saint Petersburg, FL

33701 USA

3Centre for Earth Observation Science, 535 Wallace Building, University of Manitoba, Winnipeg, MB R3T

2N2 Canada

*Email: [email protected]

Keywords: Beaufort Sea, Arctic Climate Change, Ecopath with Ecosim, Ecological Model, Nature

Resource Management

Abstract

The Beaufort Sea coastal-marine ecosystem is a 476,000 km2 area in the Arctic Ocean, which

extends from -112.5 to -158.0° longitude to 67.5 to 75.0° latitude. Within this polar area the United

States indigenous communities of Barrow, Kaktovik, and Nuiqsut, and the Canadian indigenous

communities of Aklavik, Inuvik, Tuktoyaktuk, Paulatuk, Ulukhaktok, and Sachs Harbour, subsist by

harvesting marine mammals, fish, and invertebrates to provide the majority of their community foods.

The Beaufort Sea coastal-marine ecosystem includes many specialized marine animals whose life history

is tied to the sea ice, such as polar bears that rely on sea-ice for foraging activities and denning, or ice

algae that attach to the seasonal cryosphere. Changes in sea-ice extent and sea surface temperature

affect the ecosystem through losses of animal habitat, alterations to trophodynamics, and/or impacts to

indigenous community harvesting. The present study focuses on developing a dynamic whole-

ecosystem model that can be used for natural resource management. The resulting Ecopath with

Ecosim (EwE) temporal model (1970 to 2014) utilizes forcing and mediation functions that describe food

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web and relationships between sea-ice extent, SST, and Inuit community harvesting efforts. Following

model calibrations, vulnerability estimates, trophic level validation, and sensitivity analyses, the

Beaufort Sea model produces population and dietary changes over time that are analogous to

observations. Changes in temporal whole-ecosystem trophodynamics highlight a potential

climatological tipping point in 1993, followed by a biological tipping point in 1998.

Introduction

Global mean temperatures have increased due to anthropogenic induced climate change, with polar

regions experiencing more extreme climatic fluctuations (ACIA 2004, Hansen et al. 2006, IPCC 2014).

The most significant changes caused by increased temperatures are reductions in Arctic sea ice by more

than 50% since the 1970s (Manabe & Stouffer 1995, Stirling 1997, Stirling 2002, Derocher et al. 2004,

Johannessen et al. 2004, Stirling & Smith 2004, Higdon & Ferguson 2009, Stroeve et al. 2007, NOAA

2015, NRDC 2015), increases in the length of the ice-free season at a rate of 5 days per decade (Stroeve

et al. 2011, Stroeve et al. 2014), and changes in permafrost altering terrestrial and coastal habitat (ACIA

2004, Schuur et al. 2015). The loss of sea-ice extent includes physical changes in polar ecosystems such

as increased storm and wave action, faster snow melt, increased river runoff to oceans resulting in lower

salinity (ACIA 2004), as well as changes to the biological community through altered habitats and

changes in species interactions (Horner & Murphy 1985, Francis et al. 1998, Benson & Trites 2002,

Gradinger 2002, Krupnik & Jolly 2002). Species residing at these high latitudes have adapted to thrive in

the cold harsh Arctic conditions. Yet, changes in climate are altering ocean productivity, food web

dynamics, habitats of species, and species’ distributions under unprecedented environmental conditions

(Hoegh-Guldberg & Bruno 2010). In coastal-marine polar ecosystems, the loss of sea-ice is most

pronounced, which has been shown to alter the sea-ice-pelagic-benthic connections in the food-web

and corresponding trophodynamics from the benthos to apex predators (Bradstreet & Cross 1982,

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Grebmeier & Barry 1991, Wassmann & Slagstad 1993, Feder et al. 1994b, Feder et al. 1994a, Grebmeier

et al. 1995, Hoover et al. 2013a, Hoover et al. 2013b).

The Beaufort Sea coastal-marine ecosystem spans Canada and the U.S., and includes the Beaufort

shelf and the deeper Canada Basin. It is heavily influenced by wind, which drives the Beaufort gyre and

movement of sea ice, as well as freshwater output from the Mackenzie River and other smaller Arctic

rivers (Carmack & Macdonald 2002, Dunton et al. 2006). This region is home to many indigenous

communities, and migratory marine mammals and fish species are harvested along the coasts by the

Iñupiat (U.S.) and Inuit (Canada) (Joint-Secretariat 2003, Allen & Angliss 2010) subsistence communities.

Subsistence harvesting of marine resources primarily consists of marine mammals, fish, and birds, and is

an important factor in local food security (Usher 2002, Huet et al. 2012, Hoover et al. 2016). Changes in

the ecosystem driven by climate have reduced the availability of harvestable species in Arctic

communities, leading to significant declines in essential nutrients for northern community members

(Rosol et al. 2016).

These climate-induced changes are anticipated to bring shifts in species distributions towards poles

and changes in migration patterns (Walther et al. 2002). Changes in production, increased freshwater

input into coastal-marine areas, and longer summers favor smaller zooplankton (picoplankton in the

Canadian Basin) over colder water species important to predators (Uye 1994, Li et al. 2009). These

changes are predicted to alter zooplankton species such as Pseudocalanus spp. along with other

herbivorous species over omnivorous and carnivorous species (Darnis et al. 2008). Ice-dependent

species such as Arctic cod (Boreogadus saida), who are known to be an important link in the food web,

are expected to be replaced by capelin (Mallotus villosus) (Orlova et al. 2005, Hop & Gjøsæter 2013).

Declining trends have been observed for arctic cod predators (e.g., ringed seals, beluga, black guillemot

chicks), while other species have improved (Arctic char, bowhead) during the same time frame

(Harwood et al. 2015). Yet, the dynamics of the food web and the interactions responsible for these

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changes is currently unknown. Furthermore, changes to species distribution and food web changes

impact their availability to indigenous communities that harvest and consume these species, something

expected to worsen with climate change (Council 2012).

In order to understand what alterations these cumulative impacts have made on the food web, an

ecosystem model was developed to summarize the Beaufort Sea coastal-marine ecosystem. Here all

components of the food web are represented in an Ecopath with Ecosim model (Walters et al. 1997,

Christensen et al. 2005). Available datasets are combined to provide a holistic representation of the

ecosystem and evaluate reasons for changes in individual species and the ecosystem as a whole. The

Ecopath model represents the 1970 mass-balance ecosystem, whereas the Ecosim model represents

trophodynamic changes from 1970 to 2014. Known harvest and climate trends are incorporated into

the Ecosim model to identify and assess changes in the ecosystem. We present individual species

trends, ecosystem drivers, potential ecosystem tipping points, and suggest key species for ongoing

monitoring.

Methods and Materials

Area of Consideration

The present EwE and Ecospace models considered the entire Beaufort Sea marine ecosystem area

ranging from 67.5 to 75° N and -112.5 to -158° W, or approximately 476,000 km-2, which included

estuarine, coastal, and oceanic habitats ranging from 0 to 3000 m of water depth (Fig. 1). The Beaufort

Sea marine ecosystem also encompasses Iñupiat subsistence use areas of northern Alaska (United States

of America), the Inuvialuit Settlement Regions (ISR) of the Inuit in northern Canada (Canada 1984), and

the southern Beaufort Sea (SB) management unit for polar bears established by the International Union

for the Conservation of Nature and Natural Resources (IUCN) Polar Bear Specialist Group (IUCN 2010).

The model area represents a little over three percent of the Arctic Ocean’s area, yet it is an important

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habitat for migratory bowhead and beluga whales (Fraker & Bockstoce 1980, Harwood & Smith 2002,

DFO 2013), a distinct population of polar bears (Amstrup et al. 2007), and at least nine indigenous

(Iñupiat and Inuvialuit) communities that practice subsistence harvesting in coastal waters from Alaska

to the Northwest Territories (Fig. 1). The Beaufort Sea Iñupiat communities live in Barrow, Kaktovik, and

Nuiqsut, and the Canadian Inuvialuit communities live in Aklavik, Inuvik, Tuktoyaktuk, Paulatuk,

Ulukhaktok, and Sachs Harbour (Fig. 1).

Fig. 1 Map of the Beaufort Sea marine ecosystem. Subsistence harvesting communities indicated by red

dots.

Ecopath

Functional Groups

Our Ecopath model considers 36 functional groups, which includes single species and aggregated

groups of species. These functional groups range from top predators (marine mammals) to primary

producers and detritus, covering taxa throughout the food web. There are 8 marine mammal groups, 1

bird, 9 fish groups, 6 benthic, 6 zooplankton, and 6 producer/ detritus groups (see Table 1 for a full list of

model groups), which are referred to as the functional groups of: 1) Polar Bears, 2) Beluga Whales, 3)

Gray Whales, 4) Bowhead Whales, 5) Walrus, 6) Ringed Seals, 7) Bearded Seals, 8) Spotted Seals, 9)

Birds, 10) Char & Dolly Varden, 11) Ciscoes & Whitefish, 12) Salmonids, 13) Herring & Smelt, 14) Arctic &

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Polar Cods, 15) Capelin, 16) Flounder & Benthic Cods, 17) Small Benthic Marine Fish, 18) Other Fish, 19)

Arthropods, 20) Bivalves, 21) Echinoderms, 22) Molluscs, 23) Worms, 24) Other Benthos, 25) Jellies, 26)

Macro-Zooplankton, 27) Medium Copepods, 28) Large Copepods, 29) Other Meso-Zooplankton, 30)

Micro-Zooplankton, 31) Producers > 5 μm, 32) Producer < 5 μm, 33) Ice Algae, 34) Benthic Plants, 35)

Pelagic Detritus, and 36) Benthic Detritus. A list of species for aggregated functional groups, from birds

to fish, are detailed in Table S1 (supplemental materials below), and all other aggregated functional

groups are listed in the Biomass, Diets, and Harvesting Rates supplimental section according to their

Phylum, Class, Order, Family, and/or individual species.

In general, an Ecopath model represents an instantaneous ‘snap-shot’ of material fluxes in the

ecosystem according to the constraints of mass-balance and the conservation of energy. The Ecopath

portion of the Beaufort Sea model (year 1970) required biomass (tonnes (t) km-2) for each functional

group, as well as the functional group dietary proportions, respective ratios of production per unit

biomass (production ratio), and consumption per unit biomass (consumption ratio) according to Hoover

et al. (2016)(Table 1), and a life table based on natural mortality (Barlow & Boveng 1991). For this

Beaufort Sea model, biomass is calculated using information provided from stock assessments, fishery

independent monitoring samples, harvest reports, and other published literature. Production of a

functional group is determined for all components of the food web, and linked through diet proportions

(equation (Eq.) 1), where the production P of the functional group i is represented as:

𝑃𝑖 = ∑ 𝐵𝑗 ∗ 𝑀2𝑖𝑗 + 𝑌𝑖 + 𝐸𝑖 + 𝐵𝐴𝑖 + 𝑃𝑖 ∗ (1 − 𝐸𝐸𝑖) Eq. 1

Pi was dependent upon the biomass Bj of each predator group j, with predation mortality on group i

from group j as M2ij. Here Yi represents the fishery catch, the net migration rate Ei is the emigration-

immigration, biomass accumulation is BAi, and the ecotrophic efficiency EEi represents the proportion of

production accounted for within the system (consumed by predators, exported from the system, fishing

or migration)(Christensen et al. 2005).

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Table 1. Balanced WAP Ecopath model parameters for basic input. TL is trophic level, PB (Production/Biomass ratio year -1), and QB (Consumption/Biomass ratio year-1) are described y−1 (Hoover et al. in press). Ecotrophic Efficiency (EE), PB, and QB are ratios, therefore dimensionless.

Functional Group TL B PB QB EE

Polar Bears 4.82 0.0015 0.15 3.03 0.43 Beluga Whales 4.19 0.0305 0.07 17.00 0.16 Gray Whales 3.33 0.0265 0.06 4.00 0.86

Bowhead Whales 3.38 0.1219 0.07 5.48 0.64 Walrus 3.13 0.0092 0.07 21.66 0.68

Ringed Seals 3.84 0.0217 0.80 16.05 0.57 Bearded Seals 3.73 0.0150 0.12 13.85 0.82 Spotted Seals 4.40 0.0046 0.07 18.70 0.77

Birds 3.82 0.0026 0.90 10.00 0.08 Char & Dolly Varden 3.61 0.1407 0.68 2.30 0.67 Ciscoes & Whitefish 3.23 0.7057 0.95 3.80 0.44

Salmonids 3.59 0.0977 0.85 6.00 0.99 Herring & Smelt 3.10 0.6640 1.50 4.90 0.90

Arctic & Polar Cods 3.45 0.6511 0.80 3.90 0.76 Capelin 3.45 0.1050 0.95 4.00 0.74

Flounder & Benthic Cods 3.34 0.2965 0.75 2.40 0.81 Small Benthic Marine Fish 3.22 0.7243 1.06 3.50 0.55

Other Fish 3.08 0.4733 0.51 2.40 0.84 Arthropods 2.35 3.5000 0.75 3.50 0.91

Bivalves 2.00 1.9890 0.60 2.40 0.87 Echinoderms 2.23 5.0000 0.55 1.80 0.53

Molluscs 2.00 3.0000 0.85 3.40 0.88 Worms 2.07 2.5000 0.95 4.00 0.83

Other Benthos 2.08 1.7000 0.80 3.00 0.97 Jellies 2.33 0.9237 10.00 25.00 0.26

Macro-Zooplankton 2.64 0.2590 7.50 28.00 0.85 Medium Copepods 2.12 0.7154 18.00 45.00 0.97

Large Copepods 2.31 2.7242 5.50 20.00 0.42 Other Meso-Zooplankton 2.34 1.6612 22.00 80.00 0.24

Micro-Zooplankton 2.00 1.0530 55.00 150.00 0.85

Producers > 5 µm 1.00 3.7018 30.00

0.51 Producers < 5 µm 1.00 4.8081 60.00

0.64

Ice Algae 1.00 3.5117 20.00

0.78 Benthic Plants 1.00 5.5000 10.00

0.040

Pelagic Detritus 1.00 0.5000

0.188 Benthic Detritus 1.00 0.0500

0.957

In general, there must be energy produced by each group to balance energy removed through

predation, fishing, migration, and other mortality under the mass-balance assumption. Animal

populations (biomass), animal weights (if necessary), diets of each predator based on the mean

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proportion (%) of prey it consumes, and subsistence and commercial harvest rates (if harvested) of

functional groups are discussed in detail for each functional group in the Biomass, Diets, and Harvest

Rates supplemental section and outlined in Table 1. Diets of functional groups are based on published

literature, which includes ecological isotopes, stomach contents, and observations in predation studies

(e.g., animals observed eating particular prey).

Validation of Ecosystem Structure

To validate the EwE models we compare trophic levels (Lindeman 1942, Odum & Heald 1975)

calculated for each of our functional groups to two Chukchi Sea Ecopath models (Whitehouse 2013,

Whitehouse & Aydin 2016), one Mackenzie Delta (Beaufort Sea) Ecopath model (Hoover et al. 2016),

and several stable isotope studies throughout the Beaufort Sea marine ecosystem (Hobson & Welch

1992, Hobson 1993, Hoekstra et al. 2003) (Fig. S1). In estimating the dimensionless trophic levels, EwE

assigns primary producers a level of one, whereas all other functional groups have a trophic level of one

plus the diet weighted average of their prey item’s trophic levels. For trophic level comparisons across

all studies and to our functional groups, we aggregate single species into similar functional groups, and

calculate their mean trophic level.

Assessing Food-Web Structure

As Ecopath predator-prey relationships (trophodynamics) define the movement of energy

throughout the ecosystem, we use a methodology described in Clarke et al. (2008) to run a series of

similarity profile routine (SIMPROF) tests with dissimilarity profile analyses (DISPROF; (Jones 2014)),

Euclidean distance, and unconstrained agglomerative (UPGMA) clustering methods. This produces

significant (P < 0.05) hierarchical clusters of predator groups according to their similarities in prey, and

prey with similarities in their predators. In general, hierarchical clusters reveal similarities among and

between functional groups (or species) with regards to energy consumption by predators or energy

contributions from prey, respectively. Once significant hierarchical clusters are identified, we identify

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the top indicator functional group that is significantly (P < 0.05) characteristic of each hierarchical cluster

(if possible), as well as the Indicator Value (IV) among potential indicator species (Dufrene & Legendre

1997). The IV is the percent similarity (0% meaning no similarity and 100% meaning total similarity) that

an indicator functional group has with all functional groups within a cluster. For example, a hierarchical

cluster of predators based on similarities in prey could have one prey functional group that occurred in

all predator diets and in similar proportions, and that indicator functional group could have a high IV

(100%) or a low IV (0%). If an indicator functional group occurred in two or more hierarchical clusters,

this would lower the overall IV value of the indicator functional group, as its total percent of the IV

would be shared between all hierarchical clusters where it was a significant indicator functional group.

SIMPROF tests are also used on the Mixed Trophic Impacts (MTI) matrix (Ulanowicz & Puccia 1990),

which is an output in Ecopath that assesses direct and indirect trophodynamic interactions of each

functional group when considering all other functional groups. The MTI assigns positive or negative

interaction values based on trophic links (see Christensen et al. 2005 for equations and description). The

MTI SIMPROF tests are used to reveal which functional groups are most significant in structuring

energetic the pathways of the Beaufort Sea marine ecosystem. This method reveals Beaufort Sea’s

keystone functional groups, similar to the functional groups that show a high level of keystoneness

(Libralato et al. 2006) in Ecopath, with the added benefit of identifying the keystone functional groups

that significantly (P < 0.05) structures Beaufort Sea energetic pathways .

Ecosim Model

Forcing and Mediation Functions

As Ecopath provides the instantaneous snap-shot of the energy balance between predator-prey

relationships according to biomass and parameters in Hoover et al. (Table 1; unpublished model), our

Ecosim model performs temporal simulations beginning in 1970 and ending in 2014, and uses the diet

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proportions, harvest rates (fishing/subsistence mortality, if included in the supplementary section), and

old age (natural mortality, ecotrophic efficiency). These temporal simulations use equation 2:

𝑑𝐵𝑖

𝑑𝑡= 𝑔𝑖 ∑ 𝑄𝑗 𝑗𝑖 − ∑ 𝑄𝑗 𝑖𝑗 + 𝐼𝑖 − (𝑀𝑂𝑖 + 𝐹𝑖 + 𝑒𝑖)𝐵𝑖 Eq. 2

Where the change in biomass dBi/dt over time t is equal to the net growth efficiency (gi) or

production/consumption ratio, times the total consumption of group i(∑ 𝑄𝑗 𝑗𝑖), minus the predation

from all predators on group i(∑ 𝑄𝑗 𝑗𝑖), combined with the mortality associated with the old age (MOi),

the fishing mortality rate (Fi), immigration rate (𝐼𝑖), and emigration rate (ei) where net migration equals

Bi * ei – 𝐼𝑖. Ecosim adds a temporal dimension for predicting biomass changes in primary producers and

consumers when considering forcing functions according to equations 3 and 4 (below), respectively.

𝑑𝐵𝑖

𝑑𝑡 = 𝑐𝐵𝑖(𝑃 − 𝐵)𝑖 𝐸𝐸𝑖 − ∑ 𝑓𝑛

𝑗=1 (𝐵𝑖 , 𝐵𝑗) − 𝑀𝑖𝐵𝑖 Eq. 3

𝑑𝐵𝑖

𝑑𝑡 = 𝑐𝑔𝑖 ∑ 𝑓𝑛

𝑗=1 (𝐵𝑗, 𝐵𝑖) − ∑ 𝑓𝑛𝑗=1 (𝐵𝑖, 𝐵𝑗) + 𝐼𝑖 − 𝐵𝑖(𝑀𝑖 + 𝐹𝑖 + 𝐸𝑖) Eq. 4

Where Bi and Bj are biomasses of prey (i) and predator (j), P is production rate, EE is ecotrophic

efficiency, f is a relationship predicting consumption, I is immigration, M and F are natural and fishing

mortality, E is emigration, g is growth efficiency, and n is the number of functional groups. The scalar c

is used in this model to introduce forcing functions on productivity, and EE is the proportion of the

production used in the marine ecosystem.

To reflect the influences of climatological changes from 1970 to 2014 in Ecosim model simulations

two forcing and two mediation functions are developed. Using the data from the British Atmospheric

Data Centre (2010) the first forcing function considers the mean percent of sea-ice cover within the

model area in 1970, and then divides each month’s mean percent of sea-ice cover from 1970 to 2014 by

the 1970 mean to create sea-ice extent anomalies (Fig. S2). This sea-ice forcing function is used to drive

the productivity of the Ice Algae functional group in Ecosim simulations. Similarly, using the data from

the British Atmospheric Data Centre (2010) the second forcing function considers the mean sea surface

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temperature within the model area in 1970, then divides each month’s mean sea surface temperature

(°C) from 1970 to 2014 by the 1970 mean to create sea surface temperature anomalies (Fig. S3). As sea

surface temperature data is limited to a minimum of -1.8°C, when sea-ice is formed, we first add 1.8 to

all monthly sea surface temperatures from 1970 to 2014, then calculate the mean sea surface

temperature in the Beaufort Sea in 1970 (a 12-month period), and finally divide each month’s mean sea

surface temperature from 1970 to 2014 by the 1970 mean. This sea surface temperature forcing

function is used to drive the productivity of the Producers > 5 μm and Producers < 5 μm functional

groups.

There are two mediation functions for Ecosim simulations that describe the relationships between

sea-ice extent and the predation success of the Polar Bears, Beluga Whales, Gray Whales, Bowhead

Whales, Walrus, Ringed Seals, Bearded Seals, and Spotted Seals functional groups, as these functional

groups have ecological associations with the cryosphere. For instance, the first mediation function is

created to describe the positive effects of an increasing sea-ice extent for specific functional groups,

such as polar bears, that maintain their blubber-rich diets by consuming ice seals (particularly ringed

seals) from sea-ice platforms. In this instance, a reduction in the availability of ice seals during months

with a reduced sea-ice extent, will decrease polar bear productivity (i.e. hunting success) and/or

increase instances of cannibalism and/or decrease reproductive success (i.e. maintaining the population)

(Stirling et al. 1999, Schliebe et al. 2008, Stirling et al. 2008). In contrast, the second mediation function

is created to describe the positive effects of a decreasing sea-ice extent on predatory success. A positive

effect, for example, is observed in whales who migrate into the Beaufort Sea though flaw leads in the

ice, and a reduction in sea-ice extent likely increases their ability to surface and breathe unobstructed,

therefore increases their potential for prey consumption in the model area (George et al. 2009). The

first mediation function, when applied to Walrus, Ringed Seals, Bearded Seals, and Spotted Seals,

increases the vulnerability of their prey functional groups in the Beaufort Sea, or foraging arena (area),

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when sea-ice is present (Fig. S4), whereas the second mediation function, when applied to Beluga

Whales, Gray Whales, and Bowhead Whales, increases the vulnerability of their prey and foraging arena

when sea-ice is not present (Fig. S5). The Polar Bears functional group was unique, in that we applied

the first mediation function to their typical prey items (seals, etc.), and we applied the second mediation

function to polar bears themselves. This was done to describe increased potential of polar bear

cannibalism as the sea-ice decreases (Amstrup et al. 2006). In both cases the Ice Algae functional group

was used as the facilitator, or proxy, for sea-ice extent in mediation functions.

Temporal Simulation Calibration

To make the temporal simulations more dynamic in the Ecosim model we used documented

changes in the biomass of Polar Bears and Bowhead Whales from 1970 to 2014 (discussed above) as a

time series to fit Ecosim model simulations to data. Similarly, we used documented annual harvest

(“catch”) rates for Polar Bears, Beluga Whales, Bowhead Whales, Walrus, Bearded Seals, Ringed Seals,

Spotted Seals, and Birds (discussed in supplemental section) as a time series to fit the Ecosim model

temporal simulations to empirical data. Lastly, we also used the ratio of biomass to catch, or harvest

mortality (Catch divided by Biomass), as a time series to fit the model when both biomass and catch

were available (i.e., Polar Bears and Bowhead Whales).

Harvesting Efforts by Community

In addition to the annual harvest rates for the aforementioned functional groups (Supplemental

section, Table S2) we also define the harvest (“fishing”) effort per month for each of the Ecopath

fisheries, so that each indigenous community and each functional group harvested by that community

are considered in Ecosim temporal simulations. To accomplish this we use reports of subsistence

harvesting efforts that were unique to each indigenous community, and in Ecosim define each fishery’s

percent of harvesting effort between 100% (1.0) and 0% (0.0) according to literature (Braund 1993, DFO

1999a, Joint-Secretariat 2003, Stephenson 2004, BLM 2005, Aklavik 2008, Inuvik 2008, Paulatuk 2008,

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Sachs-Harbour 2008, Tuktoyaktuk 2008, Ulukhaktok 2008, Bacon et al. 2009, ADNR 2011, Braund 2012,

NSB 2014, ARLIS 2015), then created individual percent effort anomalies for each fishery (e.g., Barrow

Polar Bear; Fig. S6) to drive seasonal fishing effort. For Ecosim percent effort anomalies the percent

effort is divided by the average annual harvest effort per community and functional group, so that effort

increases or decreases proportionally to the mean effort. Commercial fisheries are allowed to harvest

throughout the year.

Vulnerability

The foraging arena theory dictates that the biomass of a group is split between vulnerable and

invulnerable states, whereas the prey is only vulnerable to predators during the vulnerable state

(Walters et al. 1997). Once biomass trends, harvest trends, fishing efforts, and forcing and mediation

functions are developed for the Ecosim model, the vulnerability for each functional groups is

determined in the model fitting to time series process. This is accomplished using the prey-control

(bottom-up) vulnerability calculation and multiple iterations of the fit to time series routine in order to

reduce errors (measured by the sum of squares: SS) in the model (Buszowski et al. 2009).

Sensitivity Analyses

Sensitivity analysis (Majkowski 1982) is performed using Monte Carlo trials (1000 iterations) in

Ecosim that vary the initial (1970) biomass of SIMPROF-identified keystone functional groups within the

Beaufort Sea marine ecosystem using a coefficient of variation (CV) of 0.1. During trials all other

Ecopath parameters (production per unit biomass, consumption per unit biomass, etc.) are held

constant, because biomass is one of the most challenging metrics to measure (hence fishery

independent monitoring and stock assessments), and ratios of production or consumption per unit

biomass for all functional groups are defined by available literature. The goal of the sensitivity analysis

is to assess how initial changes in the biomass of keystone functional groups would result in long-term

changes in biomass given model calibrations. The better initial estimates of biomass, in terms of

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trophodynamics, the lower the sum of squared deviations (SS). Thus, sensitivity analysis tests how

robust the model is to uncertainty in field data by allowing initial biomass to be either 10% greater or

less than initial model estimates, then returns an optimal estimate of biomass based on the whole

ecosystem response. To examine how the initial functional group biomass estimates could impact the

Beaufort Sea marine ecosystem’s stability over time, we examine SS, as well as changes in biomass for

each functional group in year 1971, 1980, 1990, 2000, and 2010 in context of trial-derived minimum

biomass, maximum biomass, 1st quartile biomass, 3rd quartile biomass, median biomass, and model

biomass.

Assessing Food-Web Structural Changes

The 1970 and 2014 clustered predator groups are compared according to their similarities in prey

and clustered prey items are compared to their similarities in predators using SIMPROF and binary

connectivity matrices (Jones 2014) in order to reveal congruency between hierarchical clusters. In the

continuum of congruency, 100% congruence means an identical hierarchical clustering (of prey or

predators), indicating two species or groups occupy a similar trophic link in the food web, and the

number of cluster groups produced. Whereas, 0% indicates no identical clustering and therefore

complete dissimilarity in cluster groups produced. Additionally, indicator functional groups and IV are

produced for hierarchical clusters at year 2014. Therefore, we are able to compare changes in the

number of cluster groups produced in SIMPROF analyses, congruency between hierarchical cluster

groups, and/or changes in the indicator functional group or IV per hierarchical cluster, all of which reveal

potential changes in Beaufort Sea trophodynamics from 1970 compared to 2014.

Furthermore, as Arctic & Polar Cods have historically been a critical energetic link between lower

and higher trophic levels (Bain & Sekerak 1978, Welch et al. 1993, Christiansen et al. 2012, Hop &

Gjøsæter 2013), we examine the variability of their biomass explained by the variability in the biomass

of all other functional groups using Redundancy Analysis (RDA) with Akaike’s information criterion (AIC)

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(Godínez-Domínguez & Freire 2003). This method reveals relationships between population dynamics,

and the resulting affects to Arctic & Polar Cods’ populations over time, as well as implications to the

greater food web.

Biodiversity and Detecting Ecological Tipping Points

After calculating vulnerability, calibrating temporal biomass and catch data, and considering

sensitivity analysis results, biodiversity is assessed using the Shannon Index (Shannon 1948, Shannon &

Weaver 1949), which measures evenness as the model has a fixed number of species (functional

groups). The Shannon Index is then statistically examined for significant relationships with annual sea-

ice extent, sea surface temperature, whole ecosystem biomass, and mean ecosystem trophic level using

RDA with AIC. Mean ecosystem trophic level is calculated using the trophic level of each individual

functional group, and is dependent on the trophic level of a functional group’s prey. Following statistical

examinations R-values are reported. Increases in evenness (Shannon Index) over time indicate a less

trophodynamic complexity.

Lastly, we compare temporal Shannon Index values using the Student T-test to examine if

biodiversity values always come from distributions with equal means (null hypothesis) between 1970

and 2014. If unequal means are detected at any time in this temporal period, we conclude a significant

change in biodiversity at that year, reject the null hypothesis (alpha 0.05), and report a P-value.

Furthermore, if unequal means are detected, we use RDA with AIC to examine the relationships

between functional group biomass values from Monte Carlo Trials at the year biodiversity changes and

the biomass values of Polar Bears and Bowhead Whales at year 2014. These two functional groups are

chosen for further examination because of their annual population monitoring and estimation. This

method reveals which functional group(s) best predict the 2014 population of two internationally

managed marine mammals with well-documented biomass values (stock assessments), and R-values are

reported.

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Results

Ecopath Model

Validation

Trophic levels calculated in other studies, ranging from the Chukchi-Beaufort Sea to the Stefansson

Sound, indicate that our Ecopath model’s trophic level calculations are consistent with observations

throughout the Beaufort Sea marine ecosystem (Fig. S1). Functional groups having a wider range of

calculated trophic levels correspond to our model’s aggregated functional groups, such as Salmonids,

Other Fish, or Molluscs, although our model trophic level values were closer to single species of salmon

(Hoekstra et al. 2003), snailfish (Hobson 1993), and gastropod (Buccinum sp.; Hobson and Welch

(1992)), respectively. Wider ranges are also mostly due to higher trophic level calculations from the

Chukchi Sea (e.g., Whitehouse (2013)), which is expected as the Chukchi Sea occupies a region extending

into lower, temperate latitudes.

Assessing Food-Web Structure

The trophodynamic SIMPROF hierarchical clusters produced in Ecopath, year 1970, are organized

into eight groups based on predators, according to similarities in their prey (“Predators”), and 12 groups

for prey according to similarities in their predators (“Prey”) (Fig. 2). The 1970 Predators cluster groups

all have indicator prey functional groups and corresponding IV (Indicator Values) of at least 60% or

greater, indicating a significant values, with the exception of Polar Bears. The Polar Bears functional

group/cluster has no statistically significant indicator prey or corresponding IV. The highest IV among

the Predators cluster groups is 100%, which reveals that the hierarchical cluster of Benthic Plants are

consumed by all invertebrates functional groups. Of the 12 Prey cluster groups identified in 1970, seven

have a statistically significant indictor predator functional group and corresponding IV. The lowest IV in

the Prey cluster groups is 20%, which indicates that Small Benthic Marine Fish and Flounder & Benthic

Cods are important prey items for Bearded Seals, and the highest IV in the Prey cluster groups was 98%,

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which reveals that Ringed Seals were the main energetic pathway for Polar Bears. Other Predators

cluster groups capture known trophodynamic relationships, such as those observed between Beluga

Whales and Arctic & Polar Cods (Predators; Lowry et al. (1985)), or Walrus and Bivalves (Predators and

Prey; Fay (1982)).

Fig. 2 Similarity profile routine (SIMPROF) clusters of Predators and Prey, 1970. Predators 1970 are

clustered according to prey items in common, with indicator prey (and indicator values (%)), if identified,

shown on lines for the predator cluster. Similarly, Prey 1970 are clustered according to predators that

commonly eat them, with indicator predators, if identified, shown on lines for the prey cluster.

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In SIMPROF tests considering MTI, a total of nine functional groups are identified as having the

significant trophodynamic structuring roles throughout the Beaufort Sea marine ecosystem, and these

keystone functional groups are (in order of importance): Arthropods, Bivalves/Walrus, Ringed Seals,

Micro-Zooplankton, Arctic & Polar Cods, Polar Bears, Producers < 5 µm, and Other Meso-Zooplankton

(Fig. 3). All other functional groups have less impactful trophodynamic structuring roles in Beaufort Sea

marine ecosystem; therefore, we examine the previously identified keystone functional groups to detect

important changes in diets (with the exception of the primary producer functional group; Producers < 5

µm) and biomass (results below).

Fig. 3 Similarity profile routine (SIMPROF) clusters identifying keystone functional groups. Keystone

functional groups identified significantly structure the Beaufort Sea marine food-web, with the most

keystone functional group at the top (Arthropods), and All Others indicate that functional groups not

listed are not consider keystone.

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Ecosim Model

Calibration

Based on reviewed literature published from 1970 to 2014, and it was evident that marine mammals

have the most comprehensive temporal biomass data sets. This is particularly Polar Bears and Bowhead

Whales. For example, Beaufort Sea population estimates for polar bears and bowhead whales were

available for each of the last 45 years (n = 45). In most marine mammal functional groups annual

populations and growth rates are not available for each year in model calibrations. However, there is far

more data available for marine mammal functional groups when compared to fish (intermittent

sampling in August or September throughout the ecosystem), invertebrate (sampling usually limited to

areas from the coast to the continental shelf), or plankton functional groups (sampling mainly occurs in

ice-free seasonal periods/areas). In addition to population and growth rate estimates, marine mammals

also have the most comprehensive annual harvest data sets for each of the nine Beaufort Sea

indigenous communities. We find that our model captures changes in Polar Bears and Bowheads

Whales’ temporal biomass (Fig. S7a,c) and harvest (catch; Fig. S7b,d), when considering the whole-

ecosystem trophodynamics and forcing functions relating sea-ice extent and sea surface temperature.

These two functional groups have the most information in terms of biomass and harvest rates, and are

tightly regulated by national and international governances. All other functional groups that have

reported harvests in the Beaufort Sea marine ecosystem have limited biomass estimates (all pinnipeds),

are far less regulated (if at all), and have various reporting inconsistencies. The latter point comes from

differences in the number of animals harvested in a given year when comparing harvest reports. For

instance, in 1992 Kaktovik is reported to have harvested 17 bearded seals in Ice Seal Committee (2014),

and 24 according to Braund (2010). For these reasons we believe other EwE model calibrations for

harvest did not as accurately reflect temporal data, as R2 values ranged from less than 0.01 (n = 14) to

0.74 (n = 33). Thus, we use calculated mean harvesting rates (t km-2 y-1) assigned in Ecopath (Table S2).

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Sensitivity Analysis

Sensitivity analysis demonstrates that our calculated functional group biomass values are all within

the 1st and 3rd quartiles (e.g., Fig. S8a), which are the potential ranges of initial biomass values evaluated

in Monte Carlo Trials, with the exception of Salmonids and Medium Copepods (e.g., Fig. S8b). Monte

Carlo iterations reveal that our model SS is 119.92, while the minimum produced is 119.10 and the

maximum produced is 138.68. Although our model does not have the lowest SS, less than 10% of the

Monte Carlo Trials produce a SS value lower than our model SS and the difference in SS values is

marginal. After examining 1000 Monte Carlo Trials our initial Salmonids biomass value is 0.5% less than

the 1st quartile biomass values in 1970, which increases to 3.2% less than the 1st quartile biomass value

by year 2010. Similarly, our initial Medium Copepods biomass value is 0.5% less than the 1st quartile

biomass values in 1970, which increases to 2.5% less than the 1st quartile biomass value by year 2010. It

is possible that our initial biomass calculations are low for these two functional groups; however, neither

of these functional groups (nor any other functional group) demonstrated biomass collapses, and we

conclude that our Beaufort Sea Ecosim model is robust for temporal analyses.

Assessing Food-Web Structural Changes

The trophodynamic SIMPROF hierarchical clusters produced in Ecopath, year 2014, is organized into

nine groups for predators according to similarities in their prey (“Predators”), and eight groups for prey

according to similarities in their predators (“Prey”; Fig. 4). Six out of the nine 2014 Predators cluster

groups have significant indicator prey functional groups and corresponding IV (Indicator Values) of at

least 56% or greater with the exception of Gray Whales, Herring & Smelt, and Polar Bears. These three

cluster groups have no statistically significant indicator prey or corresponding IV in year 2014. The

highest IV in 2014 among the Predators cluster groups is 96%, which reveals that the hierarchical cluster

of Benthic Plants are almost equally consumed by all invertebrates functional groups. Of the 12 Prey

cluster groups identified in 2014, seven have a statistically significant indictor prey functional group and

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corresponding IV. The highest IV in the Prey cluster groups is 100%, which reveals that Bearded Seals,

Beluga Whales, Birds, Bowhead Whales, Gray Whales, Ringed Seals, Polar Bears, Spotted Seals, and

Walrus are an important energetic pathway for Polar Bears. As the ecosystem biomass and evenness go

up, the specialization of predators goes down, and more energetic pathways are created. A comparison

between 1970 and 2014 hierarchical clusters shows a 67% congruency for predators and a 42%

congruency for prey, indicating important predators have remained more similar than the prey items.

Throughout operating model simulations Arctic & Polar Cods have significant relationships with

Capelin and all of the keystone functional groups, except Arthropods (R2 = 100%; Fig. S9). These include

positive and negative trophodynamic relationships. For instance, as the biomass of Arctic & Polar Cods

increases, so does the biomass of Capelin, Mico-Zooplankton, Other Meso-Zooplankton, Polar Bears,

and Producers < 5 µm. Whereas, as the biomass of Arctic & Polar Cods increases, the biomass of

Walrus, Ringed Seals, and Bivalves decreases.

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Fig. 4 Similarity profile routine (SIMPROF) clusters of Predators and Prey, 2014. Predators 2014 are

clustered according to prey items in common, with indicator prey (and indicator values (%)), if identified,

shown on lines for the predator cluster. Similarly, Prey 2014 are clustered according to predators that

commonly eat them, with indicator predators, if identified, shown on lines for the prey cluster.

Temporal Changes in Diet and Biomass

Changes in keystone functional group diets and biomass are presented in Table 2 and Figure 5(a-i),

respectively. Table 2 provides details of mean annual diet changes for keystone functional groups in

2014 when compared to 1970, whereas Figure 5 illustrates mean annual biomass changes for every year

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from 1970 to 2014. In general keystone functional groups have a net-neutral or net-positive increase in

biomass, with the exception of the Walrus and Ringed Seals functional groups that have a net-negative

decrease in biomass (Fig. 5c,d). Notably, Bivalves and Polar Bears, have downward trends in biomass

beginning in the 1990s (Fig. 5b,g). Biomass increases across all functional groups increase proportionally

faster in lower biomass functional groups than in higher biomass functional groups (Fig. 5j), with

Bowhead Whales having the most growth (Fig. 6), reaching a population size in 2014 that is five times

greater than the initial population in 1970 (a near exponential increase). The dramatic increase in the

Bowhead Whales’ population consequently increases the predation mortality of five out of the nine

keystone functional groups. When examining all other model functional groups we find that the

majority experience net-positive increases in biomass from 1970 to 2014 (Fig. 5j). Non-keystone

functional groups that have net-negative changes in biomass include: Bearded Seals, Echinoderms,

Worms, Macro-Zooplankton, Ice Algae (due to forcing function), and Benthic Detritus. When we

examine temporal changes in biomass according to trophic level, we generally see increases in biomass

from 1970 to 2014 with the exception of the tropic level range of 2.0 to 2.5 (Fig. 6 inset), which

decreases due to the reductions in the Macro-Zooplankton functional group’s biomass.

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Fig. 5 Historical reconstruction of keystone functional group relative biomass from 1970 to 2014 (a-i),

and percent change in biomass of all functional groups from 1970 to 2014 (i). Biomass is expressed in

relative changes, with one being the starting point biomass according to Table 1. The equation included

in 5i indicates that biomass increases proportionally faster for lower biomass functional groups than

higher biomass functional groups from 1970 to 2014.

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Table 2. Changes in keystone functional group diets from 1970 to 2014. Trophic levels are averaged annually, resulting in temporal values that are different than initial values reported in Table 1.

Prey/Keystone Functional Group

Trophic Level 1970

Trophic Level 2014 Arthropods Bivalves Walrus

Ringed Seals

Micro-Zooplankton

Arctic & Polar Cods

Polar Bears

Other Meso-Zooplankton

Arctic & Polar Cods 3.45 3.46

1.11% 5.59% Arthropods 2.36 2.39

-0.19% -0.97%

1.01%

Bearded Seals 3.71 3.86

7.79%

-1.99% Beluga Whales 4.18 4.30

-0.23%

Benthic Detritus 1.00 1.00 -5.06% -5.35%

0.44% Benthic Plants 1.00 1.00 -0.21% -0.21%

Birds 3.82 3.97

0.24% Bivalves 2.00 2.00 -0.22%

-8.50%

Bowhead Whales 3.37 3.42

7.32% Capelin 3.45 3.51

0.66%

Char & Dolly Varden 3.61 3.67

3.46% Ciscoes & Whitefish 3.24 3.28

1.99%

Echinoderms 2.22 2.23 -0.25%

-0.31% -1.23%

-0.14% Flounder & Benthic Cods 3.34 3.43

-0.12%

Gray Whales 3.33 3.37

-0.29% Herring & Smelt 3.14 3.15

-0.37%

-1.70%

Ice Algae 1.00 1.00

-0.86%

2.06%

0.56% Import -- --

7.65%

Jellies 2.39 2.45 3.46% Large Copepods 2.29 2.28

-0.79%

-0.85%

Macro-Zooplankton 2.64 2.66

-0.50% -5.45% Micro-Zooplankton 2.00 2.00

-3.05%

-0.17%

Molluscs 2.00 2.00 -0.42%

-0.96% -1.17%

0.29% Other Benthos 2.08 2.08 -0.13%

-1.13%

0.04%

Medium Copepods 2.13 2.14

-0.39%

-0.48%

-1.00% Other Fish 3.10 3.13

0.04%

Other Meso-Zooplankton 1.00 1.00

1.19%

4.83%

0.30% Pelagic Detritus 1.00 1.00 3.43% 4.98%

1.34%

0.40%

Polar Bears 4.70 4.52

4.01% Producers < 5 µm 1.00 1.00

1.27%

-3.83%

0.40%

Producers > 5 µm 1.00 1.00

0.17%

-0.02%

-0.49% Ringed Seals 3.82 4.00

1.91%

-15.80%

Salmonids 3.60 3.78

0.82% Small Benthic Marine Fish 3.22 3.25

0.10% 0.29%

Spotted Seals 4.40 4.47

0.01%

-0.15% Walrus 3.14 3.36

-0.76%

Worms 2.07 2.07 -0.60%

-0.46% -1.61%

-0.74%

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Fig. 6 Biomass (relative and t km-2) and trophic level (TL) changes for all functional groups from 1970,

1990, and 2014. Inset figure shows the percent change of biomass (t km-2) per trophic level from 1970

to 2014.

Biodiversity and Detecting Ecological Tipping Points

Shannon Index values indicate changes in ecosystem biodiversity, and significant associations to

climatological and model output variables (Fig. 7a-e). The Shannon Index increases from 1970 to 2014,

indicating an increase in ecosystem evenness, attributed to the initially lower biomass functional groups

(e.g., Capelin) increasingly proportionally faster than higher biomass functional groups (e.g.,

Echinoderms). As a proxy for richness, the change in biomass of fish, invertebrates, and plankton

(relative to 1970) are illustrated in Fig. 7a. In general marine mammal biomass increases from 1970 to

2014 by 9% (58% if bowhead whales are included). The fish biomass increases by 59%, invertebrate

biomass by 11%, zooplankton biomass by 18%, and phytoplankton biomass by 23%. Significant

associations are observed between the Shannon Index and sea-ice extent anomaly (Fig. 7b), sea surface

temperature anomaly (Fig. 7c), ecosystem biomass (Fig. 7d), and mean trophic level (Fig. 7e).

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Fig. 7 Temporal changes in the Shannon index according to: a) Fish, Invertebrates, and Phytoplankton

relative biomass; b) Sea-ice anomaly (mean monthly difference compared to mean in 1970), c) Sea

surface temperature (SST) anomaly (mean monthly difference compared to mean in 1970), d) Whole-

ecosystem biomass (t km-2), and e) Whole-ecosystem mean trophic level. Climatological tipping point

refers to statistically significant tipping point in whole-ecosystem biodiversity, with R2 values revealing

the variability in the Shannon Index explained by accompanying variable and whether it is a positive (+)

or negative (-) relationship. In 7a the Biodiversity Tipping Point describes the time at which preceding

biodiversity values are significantly different than subsequent biodiversity values.

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In analyzing the variability the Shannon Index when associated with sea-ice extent anomalies, we

find a negative relationship and corresponding R2 value of 0.41 between 1970 and 1992, and a positive

relationship and corresponding R2 value of 0.21 between 1993 and 2014. Conversely, in analyzing the

variability in the Shannon Index when associated with sea surface temperature anomalies we find a

positive significant relationship and corresponding R2 value of 0.10 between 1970 and 1992, and a

significant negative relationship and corresponding R2 value of 0.69 between 1993 and 2014. With

increasing biomass in the Beaufort Sea marine ecosystem, we find that 42% of the variability in Shannon

Index can be explained by a positive association with biomass from 1970 to 1992 (R2 = 0.42), and a

negative association from 1993 to 2014 (R2 = 0.49). When examining temporal changes in biomass, we

see changes (positive or negative) in all keystone functional groups starting in 1998 (Fig. 5a-i). For

example, we observe an acute increase in Micro-Zooplankton biomass and concomitant decrease in

Ringed Seals biomass. Variability in the Shannon Index can be explained by a positive association with

the Beaufort Sea ecosystem’s mean trophic level from 1970 to 1992 (R2 = 0.64); however, after 1992 the

Shannon Index has no statistically significant relationship with the mean trophic level.

As the Shannon Index has statistically significant associations with sea-ice extent anomalies, sea

surface temperature anomalies, biomass, and mean trophic level before and predominantly after 1992,

we regard this temporal transition as the “Climatological Tipping Point” in the operating model’s

historical reconstruction (Fig. 7a-e). A few years after the Climatological Tipping Point an abrupt

increase in the Shannon Index occurs in 1998. In Student T-tests examining the temporal Shannon Index

values the null hypotheses is rejected (P-value less than 0.003), indicating that biodiversity values are

different before and after 1998. With this result, and as 1998 is a year when sea-ice extent reaches a

historical low, we regard this temporal transition as the “Biodiversity Tipping Point”. The Biodiversity

Tipping Point reveals the whole-ecosystem response to enduring climatological changes expressed in

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operating model forcing and mediation functions, and therefore the period of time when significant

food-web structural changes begin to occur.

When we examine the influences of the post-Biodiversity Tipping Point (post 1998) biomass of all

functional groups in 1999, with the biomass of Polar Bears and Bowhead Whales in 2014 (using RDA

with AIC), we find that significant relationships emerge. The Polar Bears’ biomass is positively

influenced by Ice Algae, Bowhead Whales, Arthropods, and Producers < 5 µm, and is negatively

influenced by Micro-Zooplankton, Benthic Plants, and Large Copepods; explaining 61% of the

population’s variability overall (Fig. 8a). Likewise, the Bowhead Whales’ biomass is positively influenced

by Polar Bears, Producers < 5 µm, and Micro-Zooplankton, and is negatively influenced by Macro-

Zooplankton, Ringed Seals, Arctic & Polar Cods, Other Meso-Zooplankton, and Other Fish; explaining

57% of the population’s variability overall (Fig. 8b).

Fig. 8 Results of redundancy analysis (RDA) for a) Polar Bears, and b) Bowhead Whales. As the

dependent variable is univariate (green) only the x-axis describes the relationship to and variability

explained by independent variables (red).

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Discussion

In terms of SIMPROF and simulated Beaufort Sea food-web structural changes over the last 45 years,

predators are progressively diversifying their diets, depending less on traditional predator-prey

relationships, and increasing their intake of prey groups once less frequently consumed. These food-

web structural changes led to a 33% reduction in the similarities in predatory hierarchical clusters

between 1970 and 2014. Consequently, prey groups have been reducing their energetic contributions

to specialized predators, but provide more energy to a greater number of predators overall. However,

this trend towards predatory generalists likely minimizes more specialized and/or highly co-evolved

trophodynamic exchanges within the Beaufort Sea marine ecosystem. An example of this includes Polar

Bears and Ringed Seals. These food-web structural changes led to a 58% reduction in similarities in prey

hierarchical clusters, suggesting that Beaufort Sea trophodynamics have been distinctly restructured

over the last 45 years. The main drivers changing Beaufort Sea marine trophodynamics are the bottom-

up forcing and mediation functions expressing decreases in sea-ice extent and increases in sea surface

temperature. Examples of food-web structural changes that affect keystone functional groups include:

increases in the biomass of Arthropods, Micro-Zooplankton, and Other Meso-Zooplankton with

increases in primary production and pelagic detritus, a small reduction in Bivalves’ biomass following a

decrease in benthic detritus (greater overall pelagic biomass/consumption), an increase in the

competition between Walrus and Gray Whales for Bivalves, an increase in the competition between

Ringed Seals and several other Beaufort Sea predators for Arctic & Polar Cods, and Polar Bears eating

less of their traditional prey, Ringed Seals, and increasing their incidents of cannibalism and foraging

outside of the model area.

Operating model trophodynamics indicate that the annual growth of phytoplankton biomass, +23%

by year 2014, will benefit zooplankton (+18%; all groups), yield mixed impacts to invertebrates (+11%),

and benefit only three marine mammals, Beluga Whales (+56%), Gray Whales (+18%), and Spotted Seals

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(+16%). While increases in primary production benefit the keystone functional groups of Arthropods,

Micro-Zooplankton, Other Meso-Zooplankton, and Arctic & Polar Cods (e.g., Michaud et al. (1996)),

either directly as prey and/or indirectly through the diets of their prey, the benefits to Arctic & Polar

Cods are likely limited. With increasing sea surface temperatures the Arctic cod, Boreogadus saida, may

reach its upper thermal limit (Graham & Hop 1995, Drost et al. 2014)(Fig. S3), thereby reducing suitable

Arctic & Polar Cods habitats in the Beaufort Sea, and inhibit their energetic contributions to the entire

Arctic food-web (e.g. Nahrgang et al. (2014)). As Arctic & Polar Cods are critical links in trophodynamic

pathways across trophic levels (Bain & Sekerak 1978, Welch et al. 1993, Christiansen et al. 2012, Hop &

Gjøsæter 2013), a reduction in their biomass would likely have a negative impact the Beaufort Sea

marine ecosystem and directly impact the keystone functional groups of Walrus and Ringed Seals.

Arctic & Polar Cods’ biomass is positively influenced by Producers < 5 µm, Micro-Zooplankton, Other

Meso-Zooplankton, and Polar Bears. While Arctic & Polar Cods consume these functional groups, Polar

Bears limit Ringed Seals’ predatory pressure on Arctic & Polar Cods, thus yielding an indirect positive

influence overall. As Walrus eat both Bivalves and Arctic & Polar Cods, increases in Bivalves’ biomass

would benefit Walrus biomass, but negatively influence Arctic & Polar Cods. According to the operating

model’s historic reconstruction from 1970 to 2014, Walrus and Ringed Seals are becoming increasingly

reliant on their Arctic & Polar Cods prey, which constitute a larger percentage of their overall diets. The

latter functional group, Ringed Seals, also has a direct influence on the health the Polar Bears keystone

functional group. If a sudden decrease in the energetic contributions from the Arctic & Polar Cods

occurs as the Beaufort Sea warms, higher trophic level predators (Beluga Whales, Ringed Seals, Arctic

Charr) reliant on Arctic & Polar Cods (Bradstreet et al. 1986, DFO 1999b, Loseto et al. 2009) will have to

alter their prey, possibly opening the door for sub-Arctic species such as Capelin (Rose 2005b, Rose

2005a, Walkusz et al. 2013). Capelin are still considered low abundance in the region, compared to

Arctic & Polar Cods; however, they co-occur across the Beaufort Sea and have dietary overlaps with

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Arctic & Polar Cods (Cobb et al. 2008, McNicholl et al. 2015). Furthermore, while Capelin are consumed

by marine mammals in other Arctic regions (Bluhm & Gradinger 2008), their importance to marine

mammals (Beluga Whales and Ringed Seals) in the Beaufort Sea is has not been noted until recently

(Choy et al. 2016). Increases in Capelin as a forage fish have occurred in Hudson Bay (Gaston et al. 2003)

and the Barents Sea (Hop & Gjøsæter 2013), highlighting the potential for large increases in the Beaufort

Sea. However. the energetic contributions of Arctic & Polar Cods and Capelin are similar (5-7 kJ g-1 ww

vs. 4-5 kJ g-1 ww respectively (Hop & Gjøsæter 2013), with higher values up to 8.4 5-7 kJ g-1 ww reported

by Lawson et al. (1998)) and few energetic impacts may occur with an increase in Capelin biomass.

Although, Ringed Seals’ diets may be negatively impacted and this could further imperil Polar Bears’

diets as well.

Beaufort Sea Polar Bears forage from the sea-ice habitat for prey ranging from whales to pinnipeds

to seabirds, and the diminishing sea-ice extent reduces their foraging success, therefore survival

potential (Amstrup 2003, Derocher et al. 2004, Stirling & Parkinson 2006, Gormezano & Rockwell 2013b,

Gormezano & Rockwell 2013a, Iles et al. 2013). The recent decline in the population of Beaufort Sea

polar bears has been attributed to reductions in sea-ice extent and consequential shifts in the polar

bear’s access to traditional prey (Derocher et al. 2004, Dyck et al. 2007, Meier et al. 2007, Schliebe et al.

2008, Stirling et al. 2008, Bromaghin et al. 2015). For example, polar bears eat more bowhead whales

and less ringed seals in low ice years, and more ringed seals in high ice years (Bentzen et al. 2007). In

the Arctic marine ecosystem polar bears heavily rely on ringed seals for the majority of their energetic

requirements (Lønø 1970, Smith 1980, Gjertz & Lydersen 1986, Derocher et al. 2002). Our operating

model captures these real-world observations, suggesting that by 2014 Polar Bears eat about 16% less

Ringed Seals, have increased incidents of cannibalism (Amstrup et al. 2006), and increased energy

demands from terrestrial-based (import) diets (Gormezano & Rockwell 2013b).

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With a diminishing mean monthly sea-ice extent and increasing mean monthly sea surface

temperatures, the biomass from 1970 to 2014 has increased for the majority of Beaufort Sea functional

groups. The functional group with the single greatest increase in biomass is the Bowhead Whales with a

five-fold growth of their population; however, the fish functional groups, when considered collectively,

had the largest biomass increases overall (59%). One of the issues with the Bowhead Whales’ near-

exponential growth over the last 45 years is their potential to reach carrying capacity (Brandon & Wade

2006). At their carrying capacity, the energetic demand of the Bowhead Whales functional group as a

whole will be the greatest, which directly impacts the biomass of five of the nine keystone functional

groups. Furthermore, as the seasonal sea-ice extent decreases, the area of the Arctic will likely include

more suitable habitats for more whales (bowhead whales, beluga whales, gray whales, and killer

whales). This will increase their seasonal residence time, as migrations into the Beaufort Sea are likely

to take place earlier in the year, and migrations out of the Beaufort Sea are likely to take place later in

the year. The potential for ecological imbalances with the Bowhead Whales is great when considering

resource limitations alone. Furthermore, the increase in fish biomass does not necessary translate to

increased biomass of apex predators. As fish functional groups increase in biomass with climatological

changes, the middle trophic levels receive the greatest trophodynamic benefits, leading to decreases in

the biomass of Polar Bears, Ringed Seals, and Walrus within the model.

When examining Shannon Index values from 1970 to 2014, the relationships between biodiversity

and environmental variables indicates that the Beaufort Sea may already be experiencing food-web

structural impacts due to climate change, and tipping points may have already been reached (Lindsay &

Zhang 2005). With the assumption that the 1970 trophodynamics, sea-ice extents, and sea surface

temperatures characterize the time when the Beaufort Sea marine ecosystem was stable, statistical

analyses indicate that a significant Climatological Tipping Point was reached in the early 1990s, and a

significant Biodiversity Tipping Point was reached in the late 1990s. Arctic-wide the late 1980s have

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34

been identified as a plausible climatological tipping point, as thinning of sea ice has resulted in reduced

summer sea ice extent and concentration (Lindsay & Zhang 2005, Lindsay et al. 2009). In general, the

loss of multi-year sea ice in the Beaufort Sea, coupled with positive feedbacks, has left the region unable

to recover (Maslanik et al. 2011). Following the Climatological Tipping Point the mean annual whole-

ecosystem biomass values and trophic levels significantly increase. And, following the Biodiversity

Tipping Point, the Beaufort Sea marine ecosystem displays an increasing mean annual evenness. The

changes in predator diets, and an increase in the biomass of the middle trophic levels, support these

observations. However, even as the majority of the Beaufort Sea functional groups have benefited from

the increased primary productivity, the biomass of Polar Bears, Walrus, Ringed Seals, Bearded Seals,

Bivalves, Echinoderms, Worms, and Benthic Detritus have been steadily decreasing since the

Biodiversity Tipping Point. This indicates feedback loops through the Beaufort Sea food-web that

negatively affects almost half of the ecosystem’s keystone species. As the other keystone species

mostly benefit from these inter-ecosystem feedback loops and given a keystone species’ potential

impact to the ecosystem, it is very likely that the entire Beaufort Sea marine ecosystem will continue to

undergo significant food-web restructuring in the decades to come.

As available biomass (energy) is the currency in feedback loops and trophodynamics, we use RDA

with AIC and the post-Biodiversity Tipping Point (1999) biomass values calculated for each functional

group in the Monte Carlo Trials to identify functional groups that, positively or negatively, influence the

2014 biomass of Polar Bears and Bowhead Whales. These two marine mammals are chosen for this

method of analysis because they are actively managed by state, local, and/or international governances,

their annual biomass estimates are available from 1970 to 2014, and they are dissimilarly influenced by

the diminishing sea-ice extent. We find that the functional groups that explain the majority of the

variability in the Polar Bears’ biomass are Benthic Detritus and Micro-Zooplankton biomass, and for the

Bowhead Whales’ biomass are Macro-Zooplankton and Ringed Seals. Additionally, the Polar Bears and

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Bowhead Whales functional groups positively influence each other. While the Bowhead Whales directly

benefit Polar Bears’ diet, the Polar Bears eat prey, such as Ringed Seals, who eat prey, such as Arctic &

Polar Cods, who compete with Bowhead Whales for food. Therefore, the functional groups influential

to Polar Bears and Bowhead Whales biomass are also keystone functional groups, which includes Arctic

& Polar Cods as a common and critical energetic link. Ongoing management of Polar Bears and

Bowhead Whales in the Beaufort Sea would likely benefit from increased monitoring efforts of the

keystone functional groups; specifically, population assessments and trends for Ringed Seals, Arctic &

Polar Cods, Micro-Zooplankton, and Primary Producers < 5 µm.

Conclusions

From the advent of whaling and subsequent protection of endangered/threatened species, to the

physiological adaption of Arctic marine animals to sub-freezing water temperatures and recent declines

in sea-ice extent, the Beaufort Sea marine ecosystem has likely been experiencing great changes in its

trophodynamic structure for decades. However, with more recent reductions in the sea-ice extent and

increases in sea surface temperature, natural trophodynamic variability has likely been superseded by

food-web restructuring, and this is most evident in biomass trends of the Beaufort Sea’s keystone

functional groups. Operating model results suggest that a tipping point in the food-web restructuring

has already occurred. Then again, as the Arctic sea-ice extent continues to decrease and the sea surface

temperature continues to increase, and the population of whales reaches carrying capacity while the

keystone functional groups continue to change biomass, much greater changes to the Beaufort Sea

marine ecosystem are likely to occur.

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Acknowledgements

This project was supported by a Mote Marine Laboratory Postdoctoral Research Fellowship. Carie

Hoover would like to thank funding sources contributing to an earlier version of the model: Fisheries and

Oceans Canada: the Ecosystem Research Initiative and Aquatic Climate Change Adaptation Services

Program under Fisheries and Oceans Canada, ArcticNet, and the National Sciences and Engineering

Research Council of Canada. In addition, expertise from Lisa Loseto, Wojciech Walkusz, Shanon

MacPhee, Andrew Majewski, and Andrea Niemi contributed to the ecological knowledge necessary for

model development.

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Supplemental Materials

Biomass, Diets, and Harvesting Rates

Polar Bears

Based on ecological and genetic research the International Union for the Conservation of Nature

and Natural Resources (IUCN) Polar Bear Specialist Group recognizes that there are 19 different

populations of polar bears (Ursus maritimus) in the Arctic Ocean region (Aars et al. 2006, Elvin 2014). Of

the 19 populations, two polar bear populations with disparate distributional ranges continuously reside

in Alaska (Amstrup et al. 2007); one in the Chukchi Sea and the other in the Beaufort Sea (Aars et al.

2006). According to Amstrup et al. (2007) the Beaufort Sea polar bear population inhabits the pelagic

region of the polar basin, which is comprised of semi-permanent, open ocean sea-ice throughout much

of the year. Beaufort Sea polar bears can be found from Barrow, Alaska (U.S.) to just south of Banks

Island and east of the Baillie Islands in Canada (Paetkau et al. 1999, Regehr et al. 2006, Allen & Angliss

2010a). In the United States the Beaufort Sea polar bear stock is currently classified as depleted under

the Marine Mammal Protection Act and considered threatened under the United States‘ Endangered

Species Act (Allen & Angliss 2010a). Population estimates of the Beaufort Sea polar bears were 1778

from 1972-1983, 1800-3000 in 1986 , 3000 in 1993-2000, 2272 in 2001, and 2185 in 2006 (Amstrup et al.

1986, Wiig et al. 1995, Derocher et al. 1998, COSEWIC 2002, Lunn et al. 2002, Gleason & Rode 2009,

Allen & Angliss 2010a). As a whole, the Beaufort Sea population has had little or no growth during the

1990s (Amstrup et al. 2001a, Amstrup et al. 2001b), followed a decline of 3% a year in 2001-2005

(Hunter et al. 2007). In our current EwE model the 1970 biomass is calculated to be 0.0015 t km-2 based

on a population size of 1778 polar bears (Amstrup et al. 1986), and a mean weight of 300 kg (Stirling &

Parkinson 2006).

Polar bears diets consist of Polar Bears (0.5%), Beluga Whales (2.0%), Gray Whales (1.0%), Bowhead

Whales (2.0%), Walrus (2.0%), Ringed Seals (83.5%), Bearded Seals (6.5%), Spotted Seals (0.5%), Birds

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(1.0%), and an energy import (assumed to be land-based) of 1.0% (Stirling et al. 1977, Forsyth 1985,

COSEWIC 2002, Stirling 2002, Amstrup 2003, LOMA 2005, Bentzen et al. 2007, COSEWIC 2008, Stirling et

al. 2008, Allen & Angliss 2010a, Peacock et al. 2010, Fissel et al. 2013, Gormezano & Rockwell 2013a, b,

Iles et al. 2013, Secretariat 2015). To capture their prey polar bears hunt from coastal areas and, as

seasonal ice dictates, oceanic areas. Using satellite tracking studies, denning site data, and harvest

reports the preferred habitats for polar bears are between 0 and 300 m, and up to 3000 m when sea-ice

is present (Forsyth 1985, Amstrup et al. 2000, Amstrup et al. 2001a, Amstrup et al. 2001b, Ashjian et al.

2010, Stirling et al. 2011, Clarke et al. 2013, Fissel et al. 2013, Bromaghin et al. 2015, NAEC 2015,

Secretariat 2015).

Within these habitat ranges the mean annual harvest rate has been approximately 65 polar bears

per year, when considering all subsistence community harvests, and the years from 1970 to 2014 (Smith

and Taylor 1977, IUCN 1981, Braund 1993, Wiig et al. 1995, Derocher et al. 1998, Lunn et al. 2002,

Stirling 2002, Joint Secretariat 2003, Amstrup et al. 2005, COSEWIC 2008, Bacon et al. 2009, Evans et al.

2009, FWS 2009, Allen and Angliss 2010a, FWS 2010, Obbard et al. 2010, ADNR 2011, DeBruyn 2011,

Fissel et al. 2013, FWS 2011, FWS 2013, Joint Secretariat 2015). Our calculated polar bear harvesting

rate did not include recreational hunting. We calculated Individual polar bear subsistence community

harvesting rates for Barrow, Nuiqsut, Kaktovik, Alavik, Inuvik, Tuktoyaktuk, Paulatuk, Sachs Harbour, and

Ulukhaktok, as well as several other Ecopath fisheries, in order to describe harvesting rates per

community and functional group(s) (including five commercial fisheries; Table S2).

Beluga Whales

Beluga whales (Delphinapterus leucas) are seasonal migrants to the Beaufort Sea, and can be found

in waters extending from Alaska to the ISR in Canada’s Western Arctic (Canada 1984, DFO 2002). Beluga

whales arrive though flaw leads and polynyas along the coast of Alaska during the spring, and spend the

summer in coastal and oceanic waters between the Mackenzie Delta and Banks Island (Gurevich 1980,

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45

Lowry 1985, Hazard 1988, Richard et al. 2001, Hornby et al. 2016). In the fall beluga whales return to

the Bering Sea for overwintering and migrate through the Chukchi Sea (Shelden 1994). Although the

current Beaufort Sea population of beluga whales may be stable, the rate of the population increase is

estimated at 4.0% per year (Duval 1993, Wade & Angliss 1997, Angliss & Outlaw 2008, Allen & Angliss

2013). In our Ecopath model the 1970 biomass is calculated to be 0.0305 tonnes km-2 based on a

Bering-Chukchi-Beaufort Sea population estimate of 20,000 beluga whales, which is a 50% reduction of

their total population estimate (40,000) in order to reflect their seasonal duration in the model area

(Duval 1993, Harwood et al. 1996, DFO 2000), and a mean weight of 725 kg (DFO 2002, NAMMCO 2005).

During their spring-summer-fall migrations within the Beaufort Sea beluga whales primarily inhabit

coastlines and water depths up to 300 m (Vladykov 1946, Kleinenberg et al. 1964, Brodie 1971, Sergeant

1973, Fraker et al. 1979, Fraker 1980, Ognetov 1981, Smith & Martin 1994, DFO 2000, 2002, Harwood &

Smith 2002, LOMA 2005, BOWFEST 2009, Allen & Angliss 2010a, Braund 2010, BOWFEST 2011, Clarke et

al. 2013, Harwood et al. 2014). Occasionally beluga whales travel to deeper waters (up to 3000 m)

where they may spend weeks diving for food (Smith & Martin 1994, Richard et al. 2001, Richard 2002).

In the Beaufort Sea habitat Beluga whales eat Char & Dolly Varden (1.0%), Ciscoes & Whitefish (16.0%),

Herring & Smelt (7.0%), Arctic & Polar Cods (42.0%), Capelin (5.0%), Flounder & Benthic Cods (2.0%),

Small Benthic Marine Fish (10.0%), Other Fish (2.0%), Bivalves (1.0%), Molluscs (1.0%), Worms (1.0%),

Macro-Zooplankton (5.0%), Medium Copepods (2.0%), Large Copepods (3.0%), and Other Meso-

Zooplankton (2.0%) (Vladykov 1946, Forsyth 1985, Lowry et al. 1985, Watts & Draper 1986, Finley et al.

1990, Welch et al. 1993, Byers & Roberts 1995, LOMA 2005, Loseto et al. 2009, Allen & Angliss 2010a).

Beluga whales are harvested by U.S. indigenous communities in near Barrow, Alaska (Lowry et al.

1989, Adams et al. 1993, Frost 1999, 2003, Frost & Suydam 2010), and Canadian indigenous

communities near around the Mackenzie Delta and throughout the Inuvialuit Settlement Region (ISR)

(Fraker et al. 1979, DFO 2000, Harwood et al. 2002, Joint-Secretariat 2003). The Beaufort Sea

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indigenous communities who have reported beluga whale strikes/landings between 1970 and 2014 are:

Barrow, Nuiqsut, Kaktovik, Alavik, Inuvik, Tuktoyaktuk, Paulatuk, and Ulukhaktok (Fig. 1) (Fraker 1980,

Strong 1989, DFO 1991, Weaver 1991, DFO 1992a, b, 1993, 1994, 1995, 1996, 1997, 1999a, Frost 1999,

DFO 2000, Harwood et al. 2002, Harwood & Smith 2002, Joint-Secretariat 2003, Frost & Suydam 2010).

In the United States indigenous communities have harvested an estimated 41 beluga whales per year

from 1987 to 2006 (Frost 1999, 2003, Frost & Suydam 2010), whereas Canadian indigenous communities

have harvested an estimated 111 per year from 1990 to 1999 (Harwood et al. 2002). However, the

mean annual removal by both the United States and Canada is estimated at 189 (Harwood & Smith

2002). Based on harvest reports from individual indigenous community harvests from 1970 to 2014 we

set our harvesting rate at 142 beluga whales per year, which did not include accounts of when a whale

was struck and lost, therefore this harvesting rate is considered conservative (references above, as well

as (Byers & Roberts 1995, ADNR 2011, Fissel et al. 2013)).

Gray Whales

The Eastern North Pacific stock of gray whales feed in the Chukchi and Bering Seas, and less

frequently in the Beaufort Sea (Rugh & Fraker 1981, Bickham et al. 2013, NOAA 2013). The populations

of gray whales in the Atlantic Ocean were hunted to extinction in the 1800s, and a similar fate was

almost met for the Pacific Ocean stock of gray whales in the 1800 and 1900s; however, protective

legislation was enacted in 1937 and 1947 (Frost & Karpovich 2008). Today the Eastern North Pacific

stock of gray whales contains approximately 26,000 whales, which is listed as depleted under the

Marine Mammal Protection Act of 1972 (Frost & Karpovich 2008, NOAA 2013). Given the limited use of

the Beaufort Sea habitats the 1970 Ecopath estimate of biomass for Gray Whales was calculated to be

90% of the biomass estimated in Whitehouse (2013), or 0.0265 t km-2, and a mean weight of 35,000 kg

(http://www.nmfs.noaa.gov/pr/species/mammals/cetaceans/graywhale.htm).

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Gray whales typically occupy depths ranging from 20 to 100 m (Nelson et al. 1994, Frost & Karpovich

2008, Clarke et al. 2013), and their diet consists of Small Benthic Marine Fish (1.0%), Arthropods (86%),

Bivalves (2.0%), Echinoderms (1.0%), Molluscs (2.0%), Worms (2.0%), Other Benthos (2.0%), Medium

Copepods (2.0%), and Large Copepods (2.0%) according to literature (Nelson et al. 1994, Frost and

Karpovich 2008). Subsistence harvesting of gray whales primarily occurs in Russia (Huelsbeck 1988,

Reeves 2002), although two whales were harvested by the Makah Tribe in 1995 (Angliss & Outlaw

2008). Therefore, no subsistence harvesting is included in the current Ecopath model.

Bowhead Whales

The western Arctic stock of bowhead whales spend the summer in the Beaufort Sea, arriving

through flaw leads in the spring, and remain in the model area until the fall (Braham et al. 1980, Fraker

& Bockstoce 1980, Braham 1984, Braham et al. 1984b, Moore & Reeves 1993, Quakenbush et al. 2010).

During the spring migration bowhead whales enter the Beaufort Sea near Barrow, Alaska, then travel

eastward towards the Sachs Harbour area, and in the fall they migrate towards the Barrow, Alaska

traveling along the coasts until they reach the Chukchi Sea (Fig. 1). The population of the western Arctic

stock of bowhead whales from 1978 to 2001 has increased by approximately 3.4%, from 5000 to 8000

whales, and in 2011 the population had almost 17,000 whales (Moore & Reeves 1993, Zeh & Raftery

1996, Clark & Ellison 1998, George et al. 2002, George et al. 2004, Koski et al. 2005, Zeh & Punt 2005,

Allen & Angliss 2010a, Schweder et al. 2010, Allen & Angliss 2013, Givens et al. 2013). The biomass for

bowhead whales in 1970 is calculated to be 0.1219 t km-2, approximately 50% of the population

estimate of 1867 whales (Zeh & Punt 2005) to reflect their seasonal duration in the model area, and

using a mean weight of 31,076 kg (Trites & Pauly 1998).

Along their migration routes within the Beaufort Sea bowhead whales travel in water depths ranging

from 20 to 3000 meters (Bodish 1936, Braham et al. 1984b, George et al. 2004, COSEWIC 2005,

BOWFEST 2009, COSEWIC 2009, Koski & Miller 2009, Ashjian et al. 2010, Braund 2010, Moore et al.

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2010, Quakenbush et al. 2010, BOWFEST 2011, Quakenbush et al. 2012, Christman et al. 2013, Clarke et

al. 2013), and eat Arctic & Polar Cods (0.5%), Small Benthic Marine Fish (1.0%), Other Fish (1.0%),

Arthropods (1%), Bivalves (0.5%), Molluscs (1.0%), Jellies (1.0%), Macro-Zooplankton (30.0%), Medium

Copepods (20.0%), Large Copepods (29.0%), Other Meso-Zooplankton (10%), and Micro-Zooplankton

(0.5%) according to literature and direct observations (Braham 1984, Forsyth 1985, Lowry et al. 1987,

Schell et al. 1989, Lischka et al. 2001, Harwood & Smith 2002, Lowry et al. 2004, Lee et al. 2005, LOMA

2005, BOWFEST 2009, COSEWIC 2009, Moore et al. 2010, Pomerleau et al. 2010, Walkusz et al. 2010,

BOWFEST 2011).

While commercial whaling dramatically reduced the bowhead whale population in the late 1800s

and early 1900s, their population has continually increased with legislative protections and stock

management (see the Aboriginal subsistence whaling section of the International Whaling Commission;

iwc.int/aboriginal), which entails a moratorium of commercial whaling and managed subsistence

harvesting. Beaufort Sea indigenous communities harvest bowhead whales as they migrate along the

coasts of the United States and Canada (Braham et al. 1980), and communities that reported bowhead

whale strikes/landings between 1970 and 2012 were Barrow, Nuiqsut, Kaktovik, and Aklavik. Alaskan

indigenous communities have averaged a harvest of 41 whales per year between 1997 and 2006, and a

total of 1,149 whales harvested between 1974-2011 (Koski et al. 2005, Suydam et al. 2007, Suydam &

George 2012). In the Northwest Territories only 2 bowheads have been landed over the last few

decades; one in 1991 and another in 1996 (Harwood & Smith 2002). The EwE models’ mean annual

harvest rate for bowhead whales is calculated to be 43 whales per year between 1970 and 2014

(Braham et al. 1984b, Braund 1993, Joint-Secretariat 2003, Suydam & George 2004, Koski et al. 2005,

Suydam et al. 2005, 2006, Suydam et al. 2007, 2008, ADNR 2009, Bacon et al. 2009, Suydam et al. 2009,

Ashjian et al. 2010, Braund 2010, Suydam et al. 2010, ADNR 2011, Suydam et al. 2011, Fissel et al. 2013,

Kishigami 2013), and the mean annual harvest rates for the communities of Barrow, Nuiqsut, Kaktovik,

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and Aklavik are detailed in Table S2. Mean harvest rates did not include accounts of when a whale was

struck and lost.

Walrus

Of the two walrus populations in the Pacific Ocean, the sub-species of Odobenus rosmarus divergens

primarily occupies the Bering and Chukchi Seas, and occasionally travels to the Beaufort Sea near

Barrow, Alaska (Allen & Angliss 2010b). As this is a subset of the larger home range, a reliable

population estimate for this Beaufort Sea sub-species of walrus, covering just the model area, is

unavailable. Estimates of the total population from 1970 to 2014 were reconstructed from literature,

which includes a starting population of approximately 221,000 walrus in the 1970s, 246,000 in the

1980s, 201,000 in the 1990s, and 129,000 in the 2000s and 2010s (Johnson et al. 1982, Estes & Gol'tsev

1984, Fedoseev 1984, Gilbert et al. 1992, Hills & Gilbert 1994, Udevitz et al. 2001, Speckman et al. 2010,

MacCracken 2012, Allen & Angliss 2013). For our EwE model biomass in 1970 is set to 0.0092 t km-2

using a mean weight of 375 kg (Trites & Pauly 1998), which is 10% of the biomass estimated in the

Chukchi Sea model by Whitehouse (2013), and calculated to reflect the small number of O. r. divergens

that travel into the Beaufort Sea.

The subspecies O. r. divergens can be found along the Alaskan coasts and up to approximately 200

m in water depth (Stirling 1974, Fay 1982, Estes & Gol'tsev 1984, BOWFEST 2009, Braund 2010, Clarke et

al. 2013). In this depth range walrus eat Ringed Seals (3.0%), Bearded Seals (0.5%), Spotted Seals

(0.05%), Arctic & Polar Cods (2.0%), Small Benthic Marine Fish (1.0%), Arthropods (4.0%), Bivalves

(74.5%), Echinoderms (2.0%), Molluscs (10.0%), Worms (1.95%), and Macro-Zooplankton (1.0%)

according to literature (Frost & Lowry 1981, Nelson et al. 1994, Sheffield et al. 2001, Sheffield &

Grebmeier 2009, Seymour et al. 2014, ADFG 2015). Within the Beaufort Sea the total mean subsistence

harvest of walrus is 70 walrus per year according to harvest reports for the communities of Barrow,

Nuiqsut, Kaktovik, Tuktoyaktuk, Paulatuk, and Sachs Harbour (DFO 1991, 1992a, b, Braund 1993, DFO

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1993, 1994, 1995, 1996, 1997, Fuller & George 1997, DFO 1999a, Joint-Secretariat 2003, ADNR 2009,

Bacon et al. 2009, Braund 2010, Fissel et al. 2013). Harvest rates do not include accounts of when a

walruses were struck and lost.

Ringed Seals

Ringed seals (Phoca hispida hispida) can be found circumpolarly in the Arctic Ocean, including in ice

covered areas, on pack ice, and within coastal waters throughout most of the year (Stirling et al. 1975,

King 1983, Kelly 1988, Frost et al. 2002, Harwood et al. 2012, Allen & Angliss 2014). Ice provides ringed

seals with habitat for reproduction, whelping (giving birth), nursing pups, molting, resting, foraging, and

minimizing vulnerability to predators (McLaren 1958, Burns 1970, Hammill & Smith 1989, Ferguson et al.

2005, Stirling et al. 2008, Kelly et al. 2010). A reliable population estimate for Beaufort Sea ringed seals

is considered unavailable; however, estimates in the 1970s range from 11,612 seals along the shores of

Alaska’s North Slope (Burns & Harbo 1972), to 26,660 and 7,657 in 1974 and 1975, respectively, near the

MacKenzie Delta (Stirling et al. 1977), to 41,983 in the Beaufort and Amundsen Gulf areas (Stirling et al.

1977). There are also estimates that the population has over a million seals in Alaskan waters (Frost

1985). Although some migration may occur among the ringed seal population, in our EwE models they

are assumed to remain in the Beaufort Sea area throughout the year (Frost & Lowry 1984, Frost 1985,

Crawford et al. 2011). The biomass of ringed seals is estimated to be 0.0217 t km-2 based on a mean

density estimate of 0.51 ringed seals km-2, which is calculated from the Kingsley (1984) estimate of 0.21

ringed seals km-2 in the Beaufort Sea and Amundsen Gulf, the Frost et al. (2004) estimate of 0.81 ringed

seals km-2 in the Alaskan Beaufort Sea, and a mean weight of 42.5 kg (Trites & Pauly 1998).

In the Beaufort Sea ringed seals typically occupy water depths ranging from 0 to 300 m, and

sometimes in waters more than 1000 m deep (Smith 1987, Schliebe et al. 2008, Braund 2010, Harwood

et al. 2012, Clarke et al. 2013), where they forage for food and are harvested by subsistence

communities. Ringed seals eat Char & Dolly Varden (10.0%), Ciscoes & Whitefish (8.0%), Herring &

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Smelt (3.0%), Arctic & Polar Cods (12.0%), Capelin (3.0%), Flounder & Benthic Cods (5.0%), Small Benthic

Marine Fish (9.0%), Other Fish (1.0%), Arthropods (9.0%), Echinoderms (5.0%), Molluscs (5.0%), Worms

(5.0%), Other Benthos (5.0%), Macro-Zooplankton (10.0%), Medium Copepods (3.0%), Large Copepods

(5.0%), and Other Meso-Zooplankton (2.0%) (Forsyth 1985, Lowry et al. 1987, Holst et al. 2001, LOMA

2005, Outridge et al. 2009). Subsistence harvesting of ringed seals generally occurs in coastal waters

(Braund 2010), with the total mean annual harvest rate of 1,016 seals, which is calculated from Barrow,

Nuiqsut, Kaktovik, Aklavik, Inuvik, Tuktoyaktuk, Paulatuk, Sachs Harbour, and Ulukhaktok community

harvests reports and detailed in Table S2 (Braund 1993, Brower et al. 2000, Joint-Secretariat 2003,

Stephenson 2004, ADNR 2009, Braund 2010, Harwood et al. 2012, Fissel et al. 2013, Ice-Seal-Committee

2014). Harvesting rates did not include accounts of when ringed seals were struck and lost.

Bearded Seals

The bearded seal (Erignathus barbatus) is considered a boreoarctic species (Allen & Angliss 2014),

mostly found near coastal shelves and on sea-ice and/or ice pack, which they use for whelping, pupping,

and molting (Burns & Frost 1979, Smith 1981, Cleater & Smith 1984). Bearded seals can be found

throughout the Beaufort Sea (Stirling et al. 1975); however, a reliable population estimate is considered

unavailable. Population estimates of bearded seals come from surveys of the southeastern Beaufort,

including the Amundsen Gulf and offshore areas (Stirling et al. 1975, Smith 1981, Stirling et al. 1982),

which yielded a population estimate of 2757 seals in 1974 or approximately 0.019 seals km-2. Beaufort

Sea bearded seal population estimates, such as the study performed by Stirling et al. (1982), are thought

to be: 1) greatly impacted by presence/absence of sea-ice, 2) may have covered too small of survey area

considering the range that the species may occupy, and 3) have no correction factors for submerged

seals that were missed in surveys (Stewart 2006, Cameron et al. 2010). Therefore, the starting biomass

of bearded seals is based on the ratio of the number of ringed seals to bearded seals published by

Stirling et al. (1975), applying the bearded seal weight of 275 kg (Kovacs 2002), and then multiplying the

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answer by 50% (e.g., method applied for whales when seasonal surveys miss clustering of mammals

(Harwood et al. 2010)). A final biomass of 0.0150 t km-2 is calculated for bearded seals in our EwE

model.

Bearded seals are found waters depths ranging from 0 to over a 1000 m, with a mean population

concentration in waters depths between 25 to 75 m (Stirling et al. 1975, Burns & Frost 1979, Smith

1981, Cleater & Smith 1984, Braund 2010, Clarke et al. 2013) where they forage for food and are

harvested by subsistence communities. Bearded seals eat Char & Dolly Varden (5.0%), Ciscoes &

Whitefish (4.0%), Salmonids (4.0%), Herring & Smelt (1.0%), Arctic & Polar Cods (6.0%), Capelin (2.0%),

Flounder & Benthic Cods (10.0%), Small Benthic Marine Fish (10.0%), Other Fish (3.0%), Arthropods

(25.0%), Echinoderms (9.0%), Molluscs (11.0%), Worms (5.0%), and Other Benthos (5.0%) (Lowry et al.

1980, Smith 1981, Finley & Evans 1983, Cleater & Smith 1984, Forsyth 1985, LOMA 2005, Stewart 2006,

Quakenbush et al. 2011). Approximately 240 bearded seals are harvested each year by the communities

of Barrow, Nuiqsut, Kaktovik, Aklavik, Inuvik, Tuktoyaktuk, Paulatuk, Sachs Harbour, and Ulukhaktok,

and detailed in Table S2 (Smith 1981, Braund 1993, Brower et al. 2000, Joint-Secretariat 2003,

Stephenson 2004, ADNR 2009, Bacon et al. 2009, Braund 2010, Fissel et al. 2013, Ice-Seal-Committee

2014).

Spotted Seals

Spotted seals (Phoca largha) remain along continental shelf waters of the Beaufort Sea, spanning

from Barrow, Alaska to Yukon, Canada, and are considered members of the Bering Distinct Populations

Segments, also called the Alaskan stock (Allen & Angliss 2013). This distinct population of spotted seals

primarily resides in the Bering or Chukchi Seas, but travels to the Beaufort Sea during the summer and

fall (Porsild 1945, Shaughnessy & Fay 1977). Spotted seal migrations are prompted by the changing

southern extent of the oceanic ice edge and ice pack, as spotted seals prefer remaining near ice margins,

and enter more coastal habitats as the sea-ice seasonally retreats (Fay 1974, Shaughnessy & Fay 1977,

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Lowry et al. 2000, Simpkins et al. 2003). As with other Beaufort Sea pinnipeds, a reliable population

estimate of the Alaskan stock of spotted seals is considered unavailable. In 1976 the Bering Sea’s

population density is estimated to be 1.27 seals km-2 (Braham et al. 1984a), and in 1992 0.96 seals km-2

(Rugh et al. 1995). Unfortunately, since these population estimates were calculated using only seals

observed on ice, made no adjustments for seals in the water, and may have included habitats outside of

the model area (Burkanov et al. 1988), we use the updated estimate of the spotted seal population

density of 0.51 seals km-2, which is based on surveys of known breeding areas and accounted for

uncertainty in the detection rates and availabilities (Conn et al. 2013, Conn et al. 2014). To correct for

the short amount of time each year that a small proportion of the spotted seal population migrates into

a small fraction of the Beaufort Sea, we multiplied the Bering Sea density estimate by a mean weight of

90.7 kg (e.g., http://www.afsc.noaa.gov/nmml/education/pinnipeds/spotted.php), then reduced that

biomass estimate by 90%, to produce the final Beaufort Sea biomass of 0.0046 t km-2.

Spotted seals can be found in water depths ranging from 0 to 400 m, but generally stay in waters

200 m or less (Chugunkov 1970, Gol'tsev 1971, Bukhtiyarov et al. 1984, Braund 2010). Spotted seals eat

Char & Dolly Varden (15.0%), Ciscoes & Whitefish (15.0%), Salmonids (15.0%), Herring & Smelt (12.0%),

Arctic & Polar Cods (30.0%), Capelin (6.0%), Flounder & Benthic Cods (5.0%), Arthropods (1.0%), and

Macro-Zooplankton (1.0%) (Chugunkov 1970, Gol'tsev 1971). Within spotted seal habitats of the

Beaufort Sea approximately 11 seals have been harvested by subsistence communities each year from

1970 to 2014 (Braund 1993, Rugh et al. 1995, ADNR 2009, Bacon et al. 2009, Braund 2010, Ice-Seal-

Committee 2014). Subsistence communities that have reported harvesting of spotted seals are Barrow,

Nuiqsut, and Kaktovik.

Birds

The Birds functional group considered in our EwE model represents several subsistence harvested

species throughout the Beaufort Sea marine ecosystem (Table S1). Bird species vary from more

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terrestrial (e.g., Sandhill cranes) to more aquatic (e.g., Scaups), and also include migratory (e.g., Eiders)

and non-migratory species (e.g., Snowy Owls). Surveys for many of these bird species have been

completed throughout the Beaufort Sea marine ecosystem, typically when populations are at annual

maximums (June through August), and generally in waters between 0 and 50 m water depth (Barry

1976, Barry et al. 1981, Barry & Barry 1982, Alexander et al. 1988, Fischer & Larned 2004, Dau & Larned

2005, Noel et al. 2005, Powell et al. 2005, Dau & Larned 2008). In these studies is it apparent that bird

densities vary dramatically by the date of survey and survey location (Alexander et al. 1988), but they

generally revealed that the largest bird densities were due to flocking eider species, long-tailed ducks,

and scoter species (Alexander et al. 1988, Fischer & Larned 2004). Using the data from these

aforementioned surveys, and weight estimates for common birds in surveys and harvest reports (Table

S3) (Bromley 1993, Joint-Secretariat 2003, Braund 2010), we calculated the mean biomass of birds in the

Beaufort Sea marine ecosystem, multiplied that number by 10.8% (the area of ocean the Beaufort Sea

ecosystem that has a water depth between zero and 50 m), and then multiplied that number by 50% to

account for season migration. The resulting biomass of the aggregated bird functional group in the

Ecopath model was 0.0026 t km-2.

Birds collectively eat Char & Dolly Varden (5.0%), Ciscoes & Whitefish (6.0%), Salmonids (5.0%),

Herring & Smelt (10.0%), Arctic & Polar Cods (11.0%), Capelin (2.0%), Flounder & Benthic Cods (3.0%),

Small Benthic Marine Fish (9.0%), Other Fish (1.0%), Arthropods (5.0%), Bivalves (2.0%), Echinoderms

(2.0%), Molluscs (2.0%), Worms (3.0%), Other Benthos (2.0%), Jellies (6.0%), Macro-Zooplankton (5.0%),

Medium Copepods (8.0%), Large Copepods (8.0%), and Other Meso-Zooplankton (5.0%) (Divoky et al.

2015, Harwood et al. 2015). Birds are an important dietary component of subsistence communities

(Bromley 1993, Fuller & George 1997, Brower & Hepa 1998, Brower et al. 2000, Wolfe & Utermohle

2000, Joint-Secretariat 2003, Bacon et al. 2009, Braund 2010, ADNR 2011), and calculated rates of

harvest per community between 1985 and 2003 are detailed in Table S2.

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Fish Functional Groups

Fish present on the Beaufort Sea model include anadromous, semi-anadromous, and marine

species, therefore they can be found throughout the marine ecosystem. Although migratory fish species

do not remain in the Ecospace area year round, it was assumed that they feed within the Ecospace area,

and therefore their biomass is not adjusted to compensate for the time they spent outside of the

Beaufort Sea. Species in our EwE model are based on fish reported to be present and/or have estimates

of catch per unit effort (CPUE; e.g., t km-2) in Beaufort Sea marine ecosystem, and these species can be

found from the northeastern Chukchi Sea (Alaska) to the Amundsen Gulf ecozone (Northwest

Territories) (Frost & Lowry 1983, Schmidt et al. 1983, Chiperzak et al. 1991, Thorsteinson et al. 1991,

Bond & Erickson 1992, Barber et al. 1997, Coad & Reist 2004, ADNR 2009, Logerwell & Rand 2010, ADNR

2011, Johnson et al. 2012, Meuter et al. 2013, Norcross et al. 2013).

Offshore surveys of fish (and invertebrates) in the Beaufort Sea marine ecosystem have only

occurred a few times since the 1970s (Frost & Lowry 1983), with the recent survey (Logerwell & Rand

2010) being considered the first dedicated sampling effort for offshore fish species (e.g., Arctic cod,

eelpouts, sculpin, etc.) since the 1970s. However, surveys of fish have occurred in offshore areas of the

northwestern, Alaska, as well as in nearshore waters during the 1990s (Thorsteinson et al. 1991, Barber

et al. 1997) and 2000s (Norcross et al. 2013). In both offshore and nearshore surveys sample results

have indicated changes in species abundance between sampling years, seasonal periods, latitude, and

gear-types. For instance, Logerwell and Rand (2010) reported some significant changes in abundance

for some fish species when sampling with lined and unlined trawls, and no changes for other fish

species. In the same study notable similarities and differences were noted among species’ biomass,

presence and absence, as well as distribution (depth or proximity to the shoreline) comparing the 1976-

77 survey data by Frost and Lowry (1983) and the 2008 survey data by Logerwell and Rand (2010).

Similarities between these two Beaufort Sea surveys included the abundances of Arctic cod, several

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species of eelpout (Small Benthic Fish), and sculpin (Other Fish). Differences between the two surveys

indicate the potential increase in the distributions or biomass of opilio crab (Chionoecetes opilio;

Arthropods), and the presence of Bering flounder (Hippoglossoides robustus; Founder & Benthic Cods),

walleye pollock (Theragra chalcogramma; Other Fish), and Pacific cod (Gadus microcephalus; Flounder &

Benthic Cods) in recent surveys, which were absent in earlier surveys. This could indicate an extended

distribution range for some fish species, including the festive snailfish (Liparis marmoratus; Other Fish)

and eyeshade sculpin (Nautichthys pribilovius; Small Benthic Marine Fish).

Additionally, when comparing the Frost and Lowry (1983) and Logerwell and Rand (2010) surveys

there were reported differences in the abundances or presence/absence of fish species when caught in

lined versus unlined nets. For instance, no marbled eelpout were caught in unlined nets, but were

caught in lined nets; some sculpin species were only captured in lined nets while other sculpin species

were only captured in unlined nets; and almost twice as many Arctic cod were captured in lined nets

when compared to unlined nets. Thus, it is evident that many fish species have significantly different

abundances when caught in different months (Norcross et al. 2013), areas (Bond & Erickson 1992), and

gear-types (e.g., lined versus unlined nets); therefore, the Ecopath biomasses for all fish functional

groups are estimated using all nearshore and offshore survey data between 1970 and 2014. This

method is also required because of the lack of fish survey data throughout the Beaufort Sea, almost all

Beaufort Sea fish surveys are conducted in the months of August and September, and population sizes,

habitat preferences, and other ecologically important information is largely unknown for all fish

functional groups. Mean fish functional group weights are detailed in Table S4.

The calculated Ecopath biomass for Char & Dolly Varden is 0.1407 t km-2, and this functional group is

primarily limited to water depths ranging from 0 to 100 m (Schmidt et al. 1983, Karasiuk et al. 1993,

Billard 1997, LOMA 2005, ADNR 2009). In these water depths Char & Dolly Varden eat Ciscoes &

Whitefish (1.0%), Herring & Smelt (20.0%), Arctic & Polar Cods (1.0%), Capelin (1.0%), Flounder &

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Benthic Cods (9.0%), Small Benthic Marine Fish (5.0%), Other Fish (1.0%), Other Benthos (2.0%), Macro-

Zooplankton (3.0%), Medium Copepods (5.0%), Large Copepods (20.0%), and Other Meso-Zooplankton

(3.0%) (Bendock 1977, Hulley 1990, DFO 1999b, ADNR 2009). Our calculated mean annual subsistence

harvest rate for Char & Dolly Varden is 7.64x10-5 t km-2, and the mean annual commercial harvest rate is

6.29x10-6 t km-2 (Patterson 1974, Walker et al. 1988, Pedersen 1990, DFO 1991, 1992a, b, 1993, 1994,

1995, 1996, 1997, Brower & Hepa 1998, DFO 1999a, Brower et al. 2000, ADNR 2009, Bacon et al. 2009,

Braund 2010).

Biomass for Ciscoes & Whitefish is 0.7057 t km-2, and this functional group is limited to water depths

ranging from 0 to 200 m (Morin et al. 1981, Schmidt et al. 1983, Chiperzak et al. 1991, Karasiuk et al.

1993, Coad & Reist 2004, LOMA 2005, Harwood et al. 2008, ADNR 2009, Johnson et al. 2010, Johnson et

al. 2012). In these water depths Ciscoes & Whitefish eat Herring & Smelt (6.0%), Small Benthic Marine

Fish (2.0%), Other Fish (2.0%), Arthropods (10.0%), Echinoderms (3.0%), Molluscs (2.0%), Worms (5.0%),

Macro-Zooplankton (5.0%), Medium Copepods (10.0%), Large Copepods (30.0%), Other Meso-

Zooplankton (10.0%), Micro-Zooplankton (5.0%), Producers > 5 μm (7.0%), and Ice Algae (3.0%)

(Nikol'skii 1961, Kogl 1971, Bendock 1977, Morrow 1980, Lacho 1991, Coad & Reist 2004, Kottelat &

Freyhof 2007). The calculated mean annual subsistence harvest rate for Char & Dolly Varden is 2.87x10-

4 t km-2, and the mean annual commercial harvest rate is 1.02x10-4 t km-2 (DFO 1991, 1992a, b, 1993,

1994, 1995, 1996, 1997, Brower & Hepa 1998, DFO 1999a, Harwood et al. 2008, ADNR 2009, Bacon et al.

2009, Braund 2010).

Biomass for Salmonids is calculated to be 0.0977 t km-2, and this functional group is limited to water

depths ranging from 0 to 250 m (Schmidt et al. 1983, Chiperzak et al. 1991, Page & Burr 1991, Fedorov

et al. 2003, LOMA 2005, Kottelat & Freyhof 2007, Harwood et al. 2008, ADNR 2009, Irvine et al. 2009,

Johnson et al. 2012). From these depths Salmonids eat Ciscoes & Whitefish (10.0%), Arctic & Polar Cods

(12.0%), Capelin (3.0%), Small Benthic Marine Fish (5.0%), Other Fish (5.0%), Arthropods (31.0%), Worms

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(5.0%), Other Benthos (2.0%), Macro-Zooplankton (3.0%), Medium Copepods (2.0%), Large Copepods

(15.0%), Other Meso-Zooplankton (2.0%), and Producers > 5 μm (5.0%) (Fuller 1955, Morrow 1980,

Haldorson & Craig 1984, Hoekstra et al. 2003, Stewart et al. 2007). The calculated mean annual

subsistence harvest rate for Char & Dolly Varden is 1.76x10-4 t km-2, and the mean annual commercial

harvest rate is 1.37x10-4 t km-2 (DFO 1991, 1992a, b, Braund 1993, DFO 1993, 1994, 1995, 1996, 1997,

Fuller & George 1997, Brower & Hepa 1998, Brewster et al. 2008, ADNR 2009, Bacon et al. 2009, Cotton

2012, Carothers et al. 2013).

Biomass for Herring & Smelt is calculated to be 0.6640 t km-2, and this functional group is limited to

water depths ranging from 0 to 50 m in (Schmidt et al. 1983, Chiperzak et al. 1991, Karasiuk et al. 1993,

Barber et al. 1997, LOMA 2005, Johnson et al. 2012). From these depths Herring & Smelt eat Ciscoes &

Whitefish (3.0%), Flounders & Benthic Cods (2.0%), Small Benthic Marine Fish (2.0%), Arthropods (5.0%),

Echinoderms (2.0%), Molluscs (2.0%), Worms (5.0%), Other Benthos (1.0%), Macro-Zooplankton (20.0%),

Medium Copepods (5.0%), Large Copepods (20.0%), Other Meso-Zooplankton (5.0%), Micro-

Zooplankton (5.0%), Producers > 5 μm (10.0%), Producers < 5 μm (10.0%), and Ice Algae (3.0%) (Wailes

1936, Haldorson & Craig 1984, Evans & Loftus 1987, Lacho 1991, Hrabik et al. 1998, Hipfner & Galbraith

2013). The calculated mean annual subsistence harvest rate for Char & Dolly Varden is 3.94x10-6 (ADNR

2009, 2011).

Biomass for Arctic & Polar Cods is calculated to be 0.6511 t km-2, and this functional group is limited

to water depths ranging from 0 to 400 m (Frost & Lowry 1983, Cohen et al. 1990, Karasiuk et al. 1993,

Barber et al. 1997, LOMA 2005, Johnson et al. 2010, Norcross et al. 2013). From these depths Arctic &

Polar Cods eat Salmonids (2.0%), Herring & Smelt (20.0%), Arthropods (5.0%), Echinoderms (2.0%),

Molluscs (2.0%), Worms (4.0%), Other Benthos (1.0%), Macro-Zooplankton (7.0%), Medium Copepods

(10.0%), Large Copepods (40.0%), Other Meso-Zooplankton (5.0%), and Producers > 5 μm (2.0%)

(Bendock 1977, Craig et al. 1982, Frost & Lowry 1983, Lacho 1986, Hoekstra et al. 2003, Darnis et al.

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2008, Walkusz et al. 2011). The calculated mean annual subsistence harvest rate for Arctic & Polar Cods

is 2.84x10-7 (ADNR 2009, 2011).

Biomass for Capelin is calculated to be 0.1050 t km-2, and this functional group is limited to water

depths ranging from 0 to 200 m (Schmidt et al. 1983, Karasiuk et al. 1993, Barber et al. 1997,

Mecklenburg et al. 2002, LOMA 2005, Johnson et al. 2010, Logerwell & Rand 2010, Rand & Logerwell

2010, Johnson et al. 2012). From these depths Capelin eat Salmonids (2.0%), Herring & Smelt (20.0%),

Arthropods (5.0%), Echinoderms (2.0%), Molluscs (2.0%), Worms (4.0%), Other Benthos (1.0%), Macro-

Zooplankton (7.0%), Medium Copepods (10.0%), Large Copepods (40.0%), Other Meso-Zooplankton

(5.0%), and Producers > 5 μm (2.0%) (Lacho 1991, Gjøsæter 1998, Vilhjálmsson 2002, Orlova et al. 2010,

Hedeholm et al. 2012). The calculated mean annual subsistence harvest rate for Arctic & Polar Cods is

2.88x10-7 (ADNR 2009, 2011).

Biomass for Flounder & Benthic Cods is calculated to be 0.2965 t km-2, and this functional group is

limited to water depths ranging from 0 to 50 m (Schmidt et al. 1983, Chiperzak et al. 1991, Barber et al.

1997, Fedorov et al. 2003, LOMA 2005, ADNR 2009, Johnson et al. 2009, Johnson et al. 2010, Logerwell

& Rand 2010, Rand & Logerwell 2010, Johnson et al. 2012, Norcross et al. 2013). From these depths

Flounder & Benthic Cods eat Herring & Smelt (2.0%), Arctic & Polar Cods (2.0%), Capelin (1.0%),

Flounder & Benthic Cod (1.0%), Small Benthic Marine Fish (9.0%), Other Fish (2.0%), Arthropods (20.0%),

Bivalves (15.0%), Echinoderms (5.0%), Molluscs (10.0%), Worms (17.0%), Other Benthos (5.0%), Macro-

Zooplankton (2.0%), Medium Copepods (2.0%), Large Copepods (5.0%), and Other Meso-Zooplankton

(2.0%) (Bendock 1977, Mikhail & Welch 1989, Lacho 1991, Atkinson & Percy 1992, Ghan & Sprules 1993,

Coyle et al. 1994, Johnson et al. 2009). The calculated mean annual subsistence harvest rate for Arctic &

Polar Cods is 3.79x10-5, and the mean annual commercial harvest rate is 1.36x10-4 (DFO 1991, 1992a, b,

1993, 1994, 1995, 1996, 1997, Brower & Hepa 1998, DFO 1999a, ADNR 2009, Bacon et al. 2009).

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The biomass of Small Benthic Marine Fish is calculated to be 0.7243 t km-2, and this functional group

is limited to water depths ranging from 0 to 1000 m (Frost & Lowry 1983, Schmidt et al. 1983, Chiperzak

et al. 1991, Karasiuk et al. 1993, Barber et al. 1997, LOMA 2005, Johnson et al. 2010, Logerwell & Rand

2010, Rand & Logerwell 2010, Johnson et al. 2012, Norcross et al. 2013). From these depths Small

Benthic Marine Fish eat Flounder & Benthic Cods (1.0%), Small Benthic Marine Fish (3.0%), Other Fish

(3.0%), Arthropods (21.0%), Bivalves (10.0%), Echinoderms (10.0%), Molluscs (10.0%), Worms (15.0%),

Other Benthos (8.0%), Jellies (0.5%), Macro-Zooplankton (3.0%), Medium Copepods (2.0%), Large

Copepods (3.0%), Other Meso-Zooplankton (5.0%), Micro-Zooplankton (3.0%), Producers > 5 μm (2.5%)

(Ennis 1969, Bendock 1977, Leonardsson et al. 1988, Lacho 1991, Atkinson & Percy 1992, Coyle et al.

1994, Hoekstra et al. 2003). The calculated mean annual subsistence harvest rate for Arctic & Polar

Cods is 4.29x10-8 (ADNR 2009, Bacon et al. 2009).

Biomass of Other Fish is calculated to be 0.4733 t km-2, and this functional group is limited to water

depths ranging from 0 to 200 m (Frost & Lowry 1983, Muus et al. 1990, Karasiuk et al. 1993, Barber et al.

1997, LOMA 2005, Johnson et al. 2010, Logerwell & Rand 2010, Rand & Logerwell 2010, Johnson et al.

2012, Norcross et al. 2013). From these depths Other Fish eat Arthropods (13.0%), Bivalves (7.0%),

Echinoderms (4.0%), Molluscs (4.0%), Worms (5.0%), Other Benthos (4.0%), Jellies (1.0%), Macro-

Zooplankton (5.0%), Medium Copepods (4.0%), Large Copepods (30.0%), Other Meso-Zooplankton

(5.0%), Micro-Zooplankton (5.0%), Producers > 5 μm (10.0%), Producers< 5 μm (1.0%), Ice Algae (2.0%)

(Scott & Scott 1988, Lacho 1991, Atkinson & Percy 1992). We calculated subsistence harvest rates of

fish functional groups for each individual indigenous community in Table S2.

Benthic Invertebrates: Arthropods, Bivalves, Echinoderms, Molluscs, Worms, and Other Benthos

The biomass mass of benthic organisms (functional groups of Arthropods, Echinoderms, Molluscs,

Worms, and Other Benthos) generally increases with increasing depth between 0 and 100 m, with a

peak of biomass between 70 and 100 m; however, bivalves are an exception to this observation as their

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biomass peaks between 40 and 70 m (Wacasey 1975, Carey 1976, Carey & Ruff 1977, Wacasey et al.

1977, Carey 1978, Bernard 1979, Frost & Lowry 1983, Carey et al. 1984, Heath & Thomas 1984, Braun

1985, Carey 1991, Hopky et al. 1994b, c, a, Hopky et al. 1994d, Dunton et al. 2006, Bessière et al. 2007,

Cobb et al. 2008, Logerwell & Rand 2010). We noted that many Beaufort Sea invertebrate sampling

studies lack information regarding the meiofauna in sediments, as this is where worms are often found

in high abundances, and this lack of information would likely impact estimates of the Worms functional

group’s biomass (Braun 1985, Bessière et al. 2007).

Biomass ranges from Wacasey et al. (1977), Carey Jr. (1976, 1978), and Logerwell and Rand (2010)

are detailed in Table S5, and these publications are used to calculate benthic (invertebrate) functional

groups biomass values for the current Ecopath model because of their sampling years and/or sampling

insights into population size. All functional group biomass values used in the current model fell within

reported high and low biomass values from benthic surveys (Table S5). The Logerwell and Rand (2010)

study is included in our calculations of invertebrate functional groups biomass values because it

demonstrates a large discrepancy in invertebrate biomass values when captured in lined versus unlined

net tows. In general, lined nets captured far more of the benthic organisms, with a couple of

exceptions, indicating that the biomass may be higher depending on the gear-type used for surveying

the benthos, and therefore earlier studies might underestimate invertebrate biomass. These four

studies were also used in our invertebrate biomass calculations because of the comprehensive sampling

area covered throughout the Beaufort Sea marine ecosystem.

The Ecopath model functional group Arthropods includes the classes/subclasses of: Acari,

Amphipoda, Cladocera, Cumacea (hooded shrimp), Decapoda, Insecta, Isopoda, Maxillopoda, Mysida

(opossum shrimp), Pycnogonida (sea spiders), Ostracoda, and Tanaidacea (Wacasey 1975, Wacasey et

al. 1977, Carey 1978, Atkinson & Wacasey 1989, Hopky et al. 1994b, c, a, Hopky et al. 1994d, Logerwell

& Rand 2010, Piepenburg et al. 2010). Although only a few studies have documented the distribution

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and abundance of this functional group in the Beaufort Sea, biomass estimates indicate a moderate to

high biomass compared to other benthic functional groups (Table S5). Arthropods can be herbivores,

carnivores, and detritivores (Carey & Ruff 1977, Scott et al. 2001, Arndt & Swadling 2006); therefore

their diet includes Bivalves (2.0%), Echinoderms (5.0%), Molluscs (6.0%), Worms (4.0%), Other Benthos

(3.0%), Jellies (10.0%), Benthic Plants (3.0%), Pelagic Detritus (10.0%), and Benthic Detritus (57.0%).

The Bivalves functional group includes the class Pelecypoda separate from the Mollusc functional

group, because it is one of the most prevalent molluscs throughout the Arctic (Logerwell & Rand 2010,

Piepenburg et al. 2010), and it contributes significantly to benthic biomass (Carey 1976, Wacasey et al.

1977, Carey 1978). In general, the biomass of Bivalves is considered low to moderate when compared

to other benthic functional groups (Table S5). Bivalves are suspension feeders and also consume kelp

detritus (Dunton & Schell 1987, Loo & Rosenberg 1989, Hawkins et al. 1996, Sauriau & Kang 2000);

therefore, the diet of this functional group includes Producers > 5 μm (2.0%), Producers < 5 μm (3.0%),

Ice Algae (10.0%), Benthic Plants (5.0%), Pelagic Detritus (10.0%), and Benthic Detritus (70.0%).

The Echinoderm functional group includes the classes of: Asteroidea (sea stars), Crinoidea (sea lilies

and feather stars), Echinoidea (urchins), Holothuroidea (sea cucumbers), Ophiuroidea (brittle stars)

(Carey 1978, Logerwell & Rand 2010, Piepenburg et al. 2010). Biomass of Echinoderms is considered

high when compared to other benthic functional groups (Table S5). Echinoderms can be suspension

feeders, predators, scavengers, and mud ingesters (Fratt & Dearborn 1984, McClintock 1994, Dearborn

et al. 1996, Howell et al. 2003); therefore, the diet of this functional group includes Arthropods (4.0%),

Bivalves (2.0%), Molluscs (7.0%), Worms (3.0%), Other Benthos (5.0%), Benthic Plants (4.0%), Pelagic

Detritus (10.0%), and Benthic Detritus (65.0%).

The Molluscs functional group includes the classes of: Aplacophora, Caudofavaeta

(Chaeitodermomorpha), Cephalopoda, Gastropoda (snails and slugs), Polyplacophora (Chiton), and

Scaphopoda (tusk shells) (Carey 1978, Logerwell & Rand 2010, Piepenburg et al. 2010). Biomass of

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Molluscs is considered moderate when compared to other benthic functional groups (Table S5).

Molluscs are primarily detritivores and suspension feeders (Aitken & Gilbert 1996, Vanderklift & Ponsard

2003); therefore, the diet of this functional group includes Benthic Plants (10.0%), Pelagic Detritus

(15.0%), and Benthic Detritus (75.0%).

The Worm functional group includes the classes of: Annelida (segmented worms: Polychaetes and

Ciltellata), Entoprocta, Nematoda (round worms), Nemertea (ribbon worms), and Priapulida (penis

worms) (Wacasey et al. 1977, Carey 1978, Logerwell & Rand 2010, Piepenburg et al. 2010). Biomass of

Worms is considered low to moderate when compared to other benthic functional groups (Table S5).

The most abundant polychaetes from Table S5 survey studies were surface deposit and filter feeders

(Carey 1978); however, they also eat other benthic organisms (Fauchald & Jumars 1979). The diet of

this functional group includes Arthropods (1.0%), Echinoderms (2.0%), Molluscs (2.0%), Other Benthos

(1.0%), Benthic Plants (1.0%), Pelagic Detritus (13.0%), and Benthic Detritus (80.0%).

The Other Benthos functional group includes the classes of: Ascidiacea (sea squirts), Brachiopoda,

Bryozoa (moss animals), Cnidaria (Anthozoa: sea anenomes and Hydrozoa: sea serpent), Kinorhyncha

(mud dragons), and various unidentified eggs (Wacasey et al. 1977, Piepenburg et al. 2010). Biomass of

Worms is considered low when compared to other benthic functional groups (Table S5). Other Benthos

can be suspension feeders (bryozoans), pelagic and benthic feeders (brachiopods), as well as omnivores

(hydroids, anthozoans) (Barnes & Clarke 1995, Orejas et al. 2001, Peck et al. 2005); therefore, the diet of

this functional group includes Arthropods (2.0%), Echinoderms (1.0%), Molluscs (1.0%), Worms (3.0%),

Benthic Plants (2.0%), Pelagic Detritus (16.0%), and Benthic Detritus (75.0%).

Jellies, Zooplankton, and Copepods

The Jellies are a separate functional group in our EwE models due to their intermittently high

biomass (e.g., Forest et al. 2012) of the phyla Ctenophora, Cnidaria (Scyphozoa and Hydrozoa), and

Larvacea (Hopky et al. 1994c, Hopky et al. 1994d, Forest et al. 2012), while the Zooplankton and

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Copepod functional groups are separated primarily by macro (> 2 cm), meso (0.2 mm - 2 cm), and micro

(< 0.2 mm) size ranges. The Macro-Zooplankton functional group has rarely ever been sampled for in

the Beaufort Sea, but what information exists in regards to quantity and composition included the

orders of Euphausiacea (krill), Decapoda (shrimp), Mysida, and Amphipoda, and the phylum of

Chaetognatha (arrow worms) (Hopky et al. 1994b, Darnis et al. 2008, Forest et al. 2012). Meso-

Zooplankton, although they were an individual functional group, were further subdivided into copepod

groups, as copepods are influenced by different environmental variables and contribute differently to

predators’ diets (Pirtle & Meuter 2011). The functional group Large Copepods included larger copepod

species (Calanus glacialis, Calanus hyperboreus, Metridia longa) that favor cold waters; the functional

group Medium Copepods includes the Pseudocalanus species (e.g., elongates, newmani), Oithona simils,

and Limnocalanus grimaldi (or macrurus), which are considered less influential to the Beaufort Sea food

web and favors warmer waters when compared to Large Copepods; and the Other Meso-Zooplankton

and Micro-Zooplankton functional groups, are aggregated groups of organisms that did not fit into the

aforementioned functional groups (Horner & Murphy 1985, Hopky et al. 1994b, Hopky et al. 1994d,

Llinás et al. 2008, McLaughlin et al. 2009, Walkusz et al. 2010, Forest et al. 2012).

Based on these functional group designations and supporting literature we estimate their biomass

from a series of Beaufort Sea zooplankton surveys that use bongo, neuston, and conical nets, as well as

net mesh sizes ranging from 85 to 763 μm. Beaufort Sea surveys reveal that the combined zooplankton

biomass of Jellies, Medium Copepods, Large Copepods, Other Meso-Zooplankton, and Micro-

Zooplankton functional groups range from 0.22 t km-2 to 17.14 t km-2, with a mean biomass across all

surveys (Beaufort Sea to Amundsen Gulf) of approximately 5.88 t km-2. In these surveys the majority of

the biomass mass is comprised of Jellies, which range from 2% (Hopky et al. 1994d) to 67% of the total

biomass/biovolume (Forest et al. 2012), as well as medium copepods (primarily pseudocalanus spp. and

Large Copepods, which range from 16% (Walkusz et al. 2010) to 89% of the total biomass/biovolume;

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particularly in waters less than 100 m (Hopky et al. 1994d). Macro-Zooplankton and Other Meso-

Zooplankton functional groups contribute to varying proportions of the biomass depending on area

sampled and sampling method, as revealed in shelf surveys using various sampling gear-types

(Chaetognatha; Forest et al. 2012), and very little literature was available to estimate their biomass

throughout the Beaufort Sea.

We estimated the biomass of Jellies by multiplying the mean biomass (5.8800 t km-2) by the mean of

their biomass/biovolume across all surveys (15.8%) (Hopky et al. 1994b, Hopky et al. 1994d, Walkusz et

al. 2010, Forest et al. 2012), which equated to 0.9237 t km-2. This is considered a conservative estimate

of the Jellies biomass, as their biovolume can be more than double that of copepods (Forest et al. 2012).

The Jellies diet includes Jellies (5.0%), Medium Copepods (6.0%), Large Copepods (6.0%), Other Meso-

Zooplankton (5.0%), Micro-Zooplankton (5.0%), Producers > 5 μm (15.0%), Producers < 5 μm (48.0%),

and Pelagic Detritus (10.0%) (Sullivan & Reeve 1982, Purcell 1991, Purcell & Sturdevant 2001, Haddock

2007, Ceh et al. 2015).

Due to the lack of sampling of the Macro-Zooplankton and Micro-Zooplankton functional groups,

their biomass is estimated by Ecopath to be 0.2590 t km-2 and 1.0530 t km-2, respectively, based on the

ecosystem needs of predators. The diet of Macro-Zooplankton includes Macro-Zooplankton (3.0%),

Medium Copepods (10.0%), Large Copepods (20.0%), Other Meso-Zooplankton (15.0%), Micro-

Zooplankton (2.0%), Producer > 5 μm (15.0%), Producers < 5 μm (5.0%), Ice Algae (15.0%), and Pelagic

Detritus (15.0%) (Auel & Werner 2003, Haberman et al. 2003). The diet of Micro-Zooplankton, a

functional group of grazers, includes Producers < 5 μm (85.0%), Ice Algae (5.0%), Pelagic Detritus (5.0%),

and Benthic Detritus (5.0%) (Sherr et al. 2009).

For the Medium and Large Copepod groups biomass, values are calculate by first multiplying the

mean biomass (5.8800 t km-2) by the mean of all copepod biomass/biovolume across surveys (58.5%)

(Hopky et al. 1994b, Hopky et al. 1994d, Walkusz et al. 2010, Forest et al. 2012), which equates to total

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copepod biomass of 3.4397 t km-2. As Pseudocalanus spp. (Medium Copepod group) biomass ranged

from <1 to 10% of the zooplankton biomass, and the larger copepods biomass ranged from 9 to 38% of

the zooplankton biomass (McLaughlin et al. 2009, Walkusz et al. 2010), a ratio of approximately 1:3.8

(peudocalanus: Large Copepods), the copepod biomass was apportioned accordingly to calculate the

Medium Copepods biomass at 0.7154 t km-2, and the Large Copepods biomass at 2.7242 t km-2. The diet

of Medium Copepods includes Other Meso-Zooplankton (5.0%), Micro-Zooplankton (5.0%), Producer > 5

μm (30.0%), Producers < 5 μm (40.0%), Ice Algae (10.0%), and Pelagic Detritus (10.0%) (Darnis et al.

2008, Campbell et al. 2009). The diet of Large Copepods includes Medium Copepods (5.0%), Micro-

Zooplankton (25.0%), Producers > 5 μm (15.0%), Producers < 5 μm (5.0%), Ice Algae (40.0%), Pelagic

Detritus (3.0%), and Benthic Detritus (7.0%) (Campbell et al. 2009, Forest et al. 2010).

The mean percent biomass of Other Meso-Zooplankton in Beaufort Sea surveys is approximately

28.2 % (Hopky et al. 1994b, Hopky et al. 1994d, Walkusz et al. 2008, Walkusz et al. 2010). When this

mean percentage is multiplied by the mean biomass of all zooplankton (5.88 t km-2), it yields a biomass

estimate of 1.6612 t km-2. The diet of Other Meso-Zooplankton includes Marco-Zooplankton (5.0%),

Other Meso-Zooplankton (3.0%), Micro-Zooplankton (24.0%), Producers > 5 μm (25.0%), Producers < 5

μm (18.0%), Ice Algae (15.0%), and Pelagic Detritus (10.0%). Although the methods used to estimate the

biomass of Jellies, Zooplankton, and Copepod functional groups yields a total biomass of 7.2009 t km-2

for all invertebrate functional groups considered, a total biomass higher than the average of 5.88 t km-2,

the biomass calculations for each these functional groups falls within the range of biomass values

reported in all Beaufort Sea surveys (Horner & Murphy 1985, Hopky et al. 1994b, Hopky et al. 1994d,

Llinás et al. 2008, Walkusz et al. 2008, McLaughlin et al. 2009, Walkusz et al. 2010, Forest et al. 2012),

and the standard deviation for the total biomass of 5.88 t km-2 was + 1.2 t km-2, which could mean our

biomass calculations may be very close to the 7.2009 t km-2 total biomass estimate. Additionally, these

biomass values were needed to balance the Ecopath model.

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67

Primary Producers and Detritus

In the Ecopath model we created three types of primary producers, the open ocean functional

groups (divided by size class into Producers > 5 μm and Producers < 5 μm), the ice dependent functional

group of Ice Algae, as well as the benthic functional group of Benthic Plants (Horner & Schrader 1982,

Gosselin et al. 1997, Sukhanova et al. 2009). Available studies from the Chukchi-Beaufort Sea to the

Amundsen Gulf indicate that these three types of primary producers span seasonal periods, as well as

years of high and low sea-ice extent (1970s to present day) (Alexander 1974, Hsiao et al. 1977, Grainger

1979, Dunbar & Acreman 1980, Homer 1980, Hsiao 1980, Homer & Schrader 1981, Horner & Schrader

1982, Schell et al. 1982, Macdonald et al. 1987, Carmack et al. 2004, Riedel et al. 2007, Riedel et al.

2008, Sukhanova et al. 2009, Sergeeva et al. 2010). In only a few of these studies Benthic Plants are

included, however high density patches have been identified (Boulder Patch near Steffanson sound, AK)

(Hsiao 1980, Dunton et al. 1982, Horner & Schrader 1982). For biomass (t km-2) estimations of

Producers > 5 μm, Producers < 5 μm, and Ice Algae we use the following conversion when necessary: 1)

converting grams carbon to grams wet weight we multiplied grams carbon by 9 (Pauly & Christensen

1995), or 2) converting chlorophyll a to grams carbon we multiplied chlorophyll a by 53 (Kang et al.

2001).

The Beaufort Sea biomass estimates for Producers > 5 μm and Producers < 5 μm ranged from 0.5830

t km-2 (Brugel et al. 2009) to 58.5000 t km-2 (Hsiao 1980), with a mean biomass of 16.3964 t km-2

(Alexander 1974, Andersen 1977, Hsiao et al. 1977, Grainger 1979, Dunbar & Acreman 1980, Homer

1980, Hsiao 1980, Horner & Schrader 1982, Schell et al. 1982, Brugel et al. 2009, Sergeeva et al. 2010).

To account for the areas of low productivity in deeper waters (Gosselin et al. 1997)( Giovanni Chl a data

discussed below), and the seasonal highs and lows of annual productivity, the mean biomass is

multiplied by 50% to yield a total biomass for the Producers > 5 μm and Producers < 5 μm functional

groups of 8.5100 t km-2. The percent of the Producers > 5 μm functional group relative to the total

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68

biomass can range from 25 to 62% (Riedel et al. 2007, Brugel et al. 2009); therefore, we allocate 43.5%

of the total biomass (midpoint of the range) to yield a biomass estimate of 3.7018 t km-2. The Producers

< 5 μm functional group biomass is similarly estimated at 4.8081 t km-2. Producers > 5 μm include

Diatoms, Dinoflagellates, Cryptophytes, Crysophytes, Haptophytes, Eulenophytes, Chlorophytes, and

Cyanophytes (Cobb et al. 2008), while Producers < 5 μm include any small autotroph.

Ice Algae biomass ranges from almost undetectable (Horner & Schrader 1982) to 11.7000 t km-2

(Hsiao 1980), with a mean biomass of 4.0833 t km-2 (Alexander 1974, Andersen 1977, Grainger 1979,

Dunbar & Acreman 1980, Homer 1980, Hsiao 1980, Horner & Schrader 1982, Schell et al. 1982,

Macdonald et al. 1987, Carmack et al. 2004). To account for the high area of sea-ice extent and duration

during the colder seasons, therefore increased ice algae productivity, we multiplied the mean biomass

by 86%, the mean of the annual Beaufort Sea ice cover (%) in 1970 (according to the Hadley Centre Data

Sea Ice and Sea Surface Temperature data set (HadISST) (British Atmospheric Data Centre (2010)), to

yield a starting biomass of 3.5117 t km-2. It is assumed that if ice was present then ice algae were

productive.

Benthic Plants are a relatively understudied functional group in the model area, with the exception

of a few areas in the Beaufort Sea that have dense kelp and algal communities (Dunton et al. 1982,

Wilce & Dunton 2014), and this functional group most likely consists largely of benthic microalgal

communities (Horner & Schrader 1982) with documented annual cycles of high and low productivity .

The Matheke and Horner (1974) study indicates that benthic communities are most productive in the

summer months. Microalgae biomass can range from 0.7155 t km-2 (Horner & Schrader 1982) to

52.4700 t km-2 (Hopky et al. 1994c). To address the patchiness of the Benthic Plants functional group

throughout the Beaufort Sea marine ecosystem area we used the minimum biomass necessary to

balance the model, 5.500 t km-2; thus, this is considered a conservative biomass estimate.

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69

Lastly, two detrital groups were created, Pelagic Detritus and Benthic Detritus, as primary

productivity rates relate to the amount of detritus produced and transported from the pelagic to

benthic habitats (Schell et al. 1982, Juul-Pedersen et al. 2008). For instance, flux rates at 25 m depths

during spring melt are at least double the values during the early spring or winter, 42.3 mg of Particulate

Organic Carbon (POC) m-2 d-1 versus 19.2 and 19.7 mg POC m-2 d-1, respectively (Juul-Pedersen et al.

2008). During melting of sea ice the values of POC reach levels of 123.5 mg POC m-2 d-1 for 1 m depths

(compared to the 42.3 mg POC m-2 d-1 at 25 m depths), indicating that large amounts of organic matter

are utilized by the food web before reaching deeper water depths. In contrast, during the winter and

early spring, the sinking fluxes are constant at all sampled depths (1m, 15m, 25m), identifying the lack of

retention in the water column and the potential increased contribution to the benthos (see Table S5 in

Juul-Pedersen et al. (2008)). The June to September sinking rates of POC (average 80.3 mg POC m-2) are

reported to be lower than the spring melt values, but higher than times when ice algae dominates

(winter, early spring) (Sergeeva et al. 2010). This likely demonstrates the importance of the spring

bloom derived detritus to the water column and food web. To balance the Ecopath model a

conservative estimate of 0.500 t km-2 is used for Pelagic Detritus and 0.0500 t km-2 for Benthic Detritus.

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Supplemental Tables Table S1. List of species for birds and fish functional groups.

Functional Group Common Name(s) Specie(s) Functional Group Common Name(s) Specie(s)

Birds Brant Branta bemicia Birds Scoter (Surf) Melanitta perspicillata

Canvasback Aythya valisineria Scoter (White-winged) Melanitta fusca

Crane (Sandhill) Grus canadensis Shoveler (Northern) Anas clypeata

Eider (Common) Sometaria mollissima Swan (Trumpeter) Cygnus buccinator

Eider (King) Sometaria spectabilis Swan (Swan) Cygnus columbianus

Goldeneye (Barrow's) Bucephala islandica Teal (Green-winged) Anas crecca

Goldeneye (Common) Bucephala clangula Widgeon (American) Anas americana

Goose (Canada) Branta canadensis Char & Dolly Varden Arctic Char Salvelinus alpinus

Goose (Greater White-fronted)

Answer albifrons Dolly varden Salvelinus malma

Goose (Ross) Chen rossii Ciscoes & Whitefish Arctic Cisco Coregonus autumnalis

Goose (Snow) Chen caerulescens Broad Whitefish Coregonus nasus

Loon (Common) Gavia immer Lake Herring/Cisco Coregonus artedi

Loon (Pacific Arctic) Gavia pacifica Lake Whitefish Coregonus clupeaformis

Loong (Yellow-billed) Gavia adamsii Least Cisco Coregonus sardinella

Mallard Anas platyrhynchos Round Whitefish Prosopium cylindraceum

Merganser (Common) Mergus merganser Salmonids Arctic Grayling Thymallus arcticus

Merganser (Red-breasted)

Mergus serrator Chinook Salmon Oncorhynchus tshawytscha

Oldsquaw Clangula hyemalis Chum Salmon Oncorhynchus keta

Owl (Snowy) Nyctea scandiaca Coho Salmon Oncorhynchus kisutch

Pintail (Northern) Anus acuta Inconnu Stenodus leucichthys

Ptarmigan (Rock) Lagopus mutus Pink Salmon Oncorhynchus gorbuscha

Ptarmigan (Willow) lagopus lagopus Sockeye Salmon Oncorhynchus nerka

Scaup (Greater) Aythya marila Herring & Smelt Northern Sand Lance Ammodytes dubius

Scaup (Lesser) Aythya affinis Pacific Herring Clupea pallasii

Scoter (Black) Melanitta nigra Pacific Sand Lance Ammodytes hexapterus

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Table S1. Continued

Functional Group Common Name(s) Specie(s) Functional Group Common Name(s) Specie(s)

Herring & Smelt Rainbow Smelt Osmerus mordax Small Benthic Marine Fish

Longear Eelpout Lycodes seminudus

Arctic & Polar Cods Arctic Cod Arctogadus glacialis Northern Sculpin Icelinus borealis

Polar Cod Boreogadus saida Ribbed Sculpin Triglops pingelii

Capelin Capelin Mallotus villosus Saddled Eelpout Lycodes mucosus

Flounder & Benthic Cods

Arctic Flounder Liopsetta glacialis Shorthorn Sculpin Myoxocephalus scorpius

Bering Flounder Hippoglossoides robustus Spatulate Sculpin Icelus spatula

Burbot Lota lota Threespot Eelpout Lycodes rossi

Pacific Cod Gadus macrocephalus Twohorn Sculpin Icelus bicornis

Saffron Cod Eleginus gracilis Twolip Pout Gymnelus bilabrus

Starry Flounder Platichthys stellatus Warty Sculpin Myoxocephalus verrucosus

Walleye Pollock Theragra chalcogramma White Sea Eelpout Lycodes marisalbi

Small Benthic Marine Fish

Antlered Sculpin Enophrys diceraus Other Fish Arctic Alligatorfish Aspidophoroides olriki

Archer Eelpout Lycodes sagittarius Blackline Prickleback Acantholumpenus mackayi

Arctic Sculpin Myoxocephalus scorpioides

Daubed Shanny (Prickleback)

Lumpenus maculatus

Arctic Staghorn Sculpin Gymnocanthus tricuspis Festive Snailfish Liparis marmoratus

Bigeye Sculpin Triglops nybelini Fourline Snakeblenny Eumesogrammus praecisus

Canadian Eelpout Lycodes polaris Gelatinous Seasnail Liparis fabricii

Eyeshade Sculpin Nautichthys pribilovius Greenland Halibut Reinhardtius hippoglossoides

Fish Doctor Gymnelus viridis Kelp Snailfish Liparis tunicatus

Fourhorn Sculpin Myoxocephalus quadricornis

Leatherfin Lumpsucker Eumicrotremus derjugini

Hamecon Artediellus scaber Ninespine Stickleback Pungitius pungitius

Hookear Sculpin Artediellus uncinatus Northern Pike Esox lucius

Knipowitsch’s Pout Gymnelus knipowknipowitschi

Poacher Leptagonus sp.

Marbled Eelpout Lycodes raridens Salmon Snailfish Careproctus rastrinus

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Table S1. Continued

Functional Group Common Name(s) Specie(s)

Other Fish Slender Eelblenny Lumpenus fabricii

Stout Eelblenny Lumpenus medius

Variegated Snailfish Liparis gibbus

Whitespotted Geenling Hexagrammos stelleri

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Table S2. Subsistence and commercial fisheries created in the Ecopath model to describe each community’s mean harvesting rate (t km-2 year-1) for each functional group harvested.

Barrow Nuiqsut Kaktovik Aklavik Inuvik Tuktoyaktuk Paulatuk Sachs Harbour Ulukhaktok Commercial

Polar Bears 2.22E-05 2.12E-06 4.32E-06 1.85E-06 8.05E-08 1.12E-05 7.22E-06 1.14E-05 1.50E-05

Beluga Whales 2.34E-06 3.54E-08 1.45E-06 3.59E-05 8.33E-05 8.32E-05 9.88E-06

3.54E-07

Gray Whales

Bowhead Whales 1.08E-03 1.17E-04 1.67E-04 3.04E-06

Walrus 5.69E-05 1.24E-07 4.22E-06

8.09E-08 2.43E-07 3.03E-07

Ringed Seals 3.39E-05 4.64E-06 3.66E-06 8.04E-08 3.57E-08 1.73E-06 7.50E-06 9.38E-06 5.54E-05

Bearded Seals 1.99E-04 5.20E-06 9.82E-06 5.78E-08 5.78E-08 8.09E-07 2.60E-06 6.93E-06 4.62E-06

Spotted Seals 2.29E-06 3.81E-07 3.81E-07

Birds 3.83E-05 6.89E-06 3.61E-06 3.75E-06 8.02E-06 3.60E-05 2.17E-05 1.94E-05 8.37E-06

Char & Dolly Varden 1.11E-06 3.00E-06 1.07E-05 5.74E-06 3.06E-07 1.50E-08 1.36E-05 3.17E-06 3.87E-05 6.29E-06

Ciscoes & Whitefish 3.58E-05 9.41E-05 1.05E-05 3.97E-05 3.63E-05 6.58E-05 4.93E-06 2.35E-08 1.60E-07 1.02E-04

Salmonids 7.93E-05 1.30E-05 6.30E-07 2.32E-05 2.16E-05 3.78E-05 2.30E-07

1.37E-04

Herring & Smelt 2.70E-07

4.68E-07 8.88E-08 3.06E-06 5.40E-08

Arctic & Polar Cods 2.79E-07

2.88E-09 4.69E-11

1.49E-11

1.37E-09 1.43E-09

Capelin

2.88E-07

Flounder & Benthic Cods 4.63E-06 2.93E-06 3.58E-08 1.07E-05 1.54E-05 3.06E-06 9.87E-07 1.17E-07 1.30E-08 1.36E-04

Small Benthic Marine Fish 1.23E-09

4.16E-08

Other Fish 5.46E-09 9.41E-09

4.30E-07 5.57E-07 1.76E-08 1.41E-09

7.85E-10 1.52E-05

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Table S3. Weights used to calculate the Birds functional group biomass in surveys and harvest reports.

Common Name Weight (kg) Source

Brant 1.4 Braund (2010)

Canvasback 1.1 NG (2015)

Crane 4.5 Braund (2010)

Duck 0.5 EPD (2001)

Eider 0.7 Braund (2010)

Goldeneye 1.0 EPD (2001)

Goose 5.0 Braund (2010)

Loon 1.4 Braund (2010)

Mallard 1.2 EPD (2001)

Merganser 1.5 EPD (2001)

Owl 2.3 Cornell Lab of Ornithology (2015c)

Oldsquaw 0.7 Braund (2010)

Pintail 0.8 Fredrickson and Heitmeyer (1991)

Ptarmigan 0.3 Braund (2010)

Scaup 0.8 EPD (2001)

Scoter 0.7 Braund (2010)

Shoveler 0.6 Cornell Lab of Ornithology (2015b)

Swan 4.5 Braund (2010)

Teal 0.3 Cornell Lab of Ornithology (2015a)

Widgeon 0.8 EPD (2001)

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Table S4. Weights used to calculate the fish functional groups biomasses in surveys and harvest reports.

Functional Group Mean Weight (kg) Reference(s)

Char & Dolly Varden

2.70 George et al. (2009), fishbase.org

Ciscoes & Whitefish 1.60 Chiperzak et al. (1991), Majewski et al. (2006), Brewster et al. (2008), George et al. (2009), fishbase.org

Salmonids 8.00 Chiperzak et al. (1991), George et al. (2009), fishbase.org

Herring & Smelt 0.20 Majewski et al. (2006), Tokranov (2007), www.fishbase.org, www.nmfs.noaa.gov

Arctic & Polar Cods 0.03 Süfke et al. (1998), Majewski et al. (2006), Logerwell and Rand (2010)

Capelin 0.10 Logerwell and Rand (2010)

Flounder & Benthic Cods

3.70 Chiperzak et al. (1991), Majewski et al. (2006), George et al. (2009), Logerwell and Rand (2010)

Small Benthic Marine Fish

0.15 Chiperzak et al. (1991), Majewski et al. (2006), Logerwell and Rand (2010), Chouinard and Hurlbut (2011)

Other Fish 0.19 Houston (1990), Majewski et al. (2006), George et al. (2009), Logerwell and Rand (2010)

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Table S5. Biomass mass estimates (t km-2) for the functional groups of Arthropods, Bivalves, Echinoderms, Molluscs, Worms, and Other Benthos from 0 to 100 m of water depth.

Functional Groups

Biomass (t km-2

) Wacasey et al.

(1977) High Low

Biomass (t km-2

) Carey Jr. (1976,

1978) High Low

Biomass (t km-2

) Logerwell and Rand

(2010) High (lined nets) Low (unlined nets)

Model Biomass (t km

-2)

(Required to Balance)

Arthropods 5.7236 0.7872 7.7741 0.0716 9.2470 0.3630 3.5000

Bivalves 3.7745 1.9798 -- -- -- -- 1.9889

Echinoderms 36.1283 0.0510 0.2142 0.0000 40.5700 1.1820 5.0000

Molluscs 1.7938 0.0919 0.7351 0.0068 7.8220 0.0630 3.0000

Worms 3.5630 0.0000 1.8321 0.2244 0.6610 0.0020 2.5000

Other Benthos 1.9704 1.4300 0.0943 0.0000 2.4230 1.1860 1.7000

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Table S6. Vulnerability calculated in Ecosim using multiple iterations and time series data.

Prey \ Predator 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16

1 Polar Bears 3.35 2 Beluga Whales 3.75 3 Gray Whales 2.00 4 Bowhead Whales 1.44 5 Walrus 1.53 6 Ringed Seals 1.06

1.01 7 Bearded Seals 1.70

1.00

8 Spotted Seals 1.33

1.02 9 Birds 2.12

10 Char & Dolly Varden

2.05

2.94 1.91 33.55 1.20 11 Ciscoes & Whitefish

1.64

1.32 2.22 15.35 1.38 1.85

7.33 2.50

12 Salmonids

11.92 2.36 1.23

1.55 1.63 13 Herring & Smelt

2.28

4.10 1.46 1.87 1.00 1.05 2.60

1.17 3.14 4.49

14 Arctic & Polar Cods

1.42

3.82 2.08 1.73 1.83 1.44 2.45 1.88

2.52

2.07 15 Capelin

1.75

2.21 1.66 3.16 1.66 1.43

6.89

2.70

16 Flounder & Benthic Cods

2.24

4.20 1.98 1.84 1.90 2.08

2.00

4.52 17 Small Benthic Marine Fish

2.08 2.71 2.62 1.96 5.40 4.25

1.75 1.91 1.44 1.90 1.52

1.67

18 Other Fish

2.18

1.76

1.93 1.43

1.98 1.81 1.62 1.69

2.04 19 Arthropods

1.81 2.05 4.42 2.04 60.95 3.30 1.97 2.00 1.15 1.66 6.56 2.07 1.34 2.79

20 Bivalves

1.93 2.14 2.19 1.13

1.96 1.83

1.23 21 Echinoderms

2.14

1.48 1.90 1.97

2.12 1.39 1.83

2.36 1.61 3.29 1.71

22 Molluscs

2.26 1.98 2.38 1.07 1.99 1.85

2.04 1.93 1.67

2.04 2.88 3.64 2.42 23 Worms

1.98 2.26

1.53 1.66 2.39

1.98 2.04 3.50 1.63 1.82 1.50 2.01 1.84

24 Other Benthos

2.50

1.70 1.17

1.83 2.25

1.63 1.70 2.05 1.60 2.03 25 Jellies

3.49

1.11

26 Macro-Zooplankton

2.31

152.45 1.82 6.19

2.15 1.48 2.99 1.97 1.53 2.76 2.57 2.00 2.06 27 Medium Copepods

2.38 1.96 3.40

1.78

1.26 1.81 1.39 2.77 1.10 2.03 2.10 3.00

28 Large Copepods

2.14 1.91 3.95

2.61

1.36 1.03 1.64 1.30 1.04 1.50 2.19 2.21 29 Other Meso-Zooplankton

2.02

3.16

1.52

1.10 2.02 2.15 2.27 2.04 3.34 2.79 2.49

30 Micro-Zooplankton

4.29

1.72

1.19 31 Producers >5um

1.09 1.38 1.13 2.26 2.03

32 Producers <5um

1.07 33 Ice Algae

3.41

1.55

34 Benthic Plants 35 Pelagic Detritus 36 Benthic Detritus

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Table S6. Vulnerability

Prey \ Predator 17 18 19 20 21 22 23 24 25 26 27 28 29 30

1 Polar Bears 2 Beluga Whales 3 Gray Whales 4 Bowhead Whales 5 Walrus 6 Ringed Seals 7 Bearded Seals 8 Spotted Seals 9 Birds 10 Char & Dolly Varden 11 Ciscoes & Whitefish 12 Salmonids 13 Herring & Smelt 14 Arctic & Polar Cods 15 Capelin 16 Flounder & Benthic Cods 1.64

17 Small Benthic Marine Fish 1.68 18 Other Fish 1.52 19 Arthropods 1.16 1.91

2.18

1.60 1.46

20 Bivalves 8.90 1.32 1.11

1.67 21 Echinoderms 2.75 1.85 2.63

3.26 1.66

22 Molluscs 1.98 2.32 1.63

1.35

2.43 1.85 23 Worms 2.82 2.01 2.23

2.54

2.16

24 Other Benthos 2.35 2.05 1.99

1.87

2.42 25 Jellies 2.41 1.93 2.52

2.35

26 Macro-Zooplankton 1.99 2.55

1.91 27 Medium Copepods 2.49 2.11

5.44 2.22

2.16 3.69

28 Large Copepods 5.94 2.04

2.61 1.35 29 Other Meso-Zooplankton 2.25 2.06

1.93 1.09 1.62

2.34

30 Micro-Zooplankton 3.61 2.03

1.97 1.90 2.18 5.12 3.69 31 Producers >5um 1.55 1.53

1.80

1.57 1.25 2.36 1.86 20.17

32 Producers <5um

1.95

1.66

1.07 2.29 1.50 2.11 3.56 1.86 33 Ice Algae

2.10

1.56

1.49 2.63 1.75 1.78 3.82

34 Benthic Plants

2.47 1.71 2.43 1.88 2.19 3.19 35 Pelagic Detritus

2.22 1.98 1.98 3.16 3.29 1.65 1.37 1.61 1.58 3.48 1.62 5.49

36 Benthic Detritus

2.98 2.52 1.24 1.15 1.79 1.46

1.08

35.47

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Supplemental Figure Captions

Fig. S1 Beaufort Sea functional group trophic level (TL) calculations and comparisons. Ecosim model TL

is indicated by the black bars, whereas gray bars indicate the range of trophic levels from literature

(Hobson & Welch 1992, Hoekstra et al. 2003, Whitehouse 2013, Whitehouse & Aydin 2016, Norcross et

al. 2017).

Fig. S2 Ecosim sea-ice extent anomaly forcing function from 1970 to 2014. The anomaly is calculated by

dividing each monthly value from 1970 to 2014 by the 1970 mean sea-ice extent.

Fig. S3 Ecosim sea surface temperature (SST) anomaly forcing function from 1970 to 2014. The anomaly

is calculated by dividing each monthly value from 1970 to 2014 by the 1970 mean SST.

Fig. S4 Ecosim mediation function describing an increase in ice-dependent functional group biomass

with increasing sea-ice extent (e.g. Polar Bears, and ice seals). The Ice Algae functional group is used as

a proxy for sea-ice extent.

Fig. S5 Ecosim mediation function describing a decrease in ice-independent functional group biomass

with increasing sea-ice extent (e.g., whales). The Ice Algae functional group is used as a proxy for sea-ice

extent.

Fig. S6 Ecosim harvesting of Polar Bears for the community of Barrow described as the seasonal effort

anomaly (or success) from January to December.

Fig. S7 Ecosim calibration fits for Polar Bear biomass (a) and catch (b), as well as Bowhead Whale

biomass (c) and catch (d). For Bowhead Whales the observed biomass was used to calibrate the model

(circles no fil) with a biomass accumulation rate of 3.2% (Allen & Angliss 2014).

Fig. S8 Sensitivity analysis whisker plots for 1971 (one-year model equilibration period), 1980, 1990, and

2010. Whisker plots reveal results of Monte Carlo trails (1000 iterations) to test model robustness.

Changes in biomass for each functional group, in context of trial-derived minimum biomass, show

maximum biomass, 1st quartile biomass (line at the bottom of the box), 3rd quartile biomass (line at the

top of the box), median biomass (line in the middle of the box), and Ecosim model biomass (black dot).

Fig. S9 Redundancy analysis (RDA) plot for Arctic & Polar Cod biomass. One hundred percent of the

variability of Arctic & Polar Cods’ biomass (green) is explained by positive relationships with the biomass

Capelin, Micro- and Other Meso-Zooplankton, Polar Bears, and Producers < 5 µm, and negative

relationships with Walrus, Ringed Seals, and Bivalves (red). Arctic & Polar Cods is univariate, therefore

only the x-axis is used to illustrate relationships.

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Fig. S1

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Fig. S2

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Fig. S3

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Fig. S4

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Fig. S5

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Fig. S6

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Fig. S7

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Fig. S8

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Fig. S9

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