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57. Re evaluating Primary Biotic Resource Use for Marine Biomass Production. A New Calculation Framework

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This paper presents a new calculation framework that explicitly takes into account full food web complexity and shows that the resulting SPPR for toothed whales in the Icelandic marine e

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Re-evaluating Primary Biotic Resource Use for Marine Biomass

Production: A New Calculation Framework

Anh D Luong, *,†,§ Thomas Schaubroeck,† Jo Dewulf,†,∥ and Frederik De Laender‡

†Department of Sustainable Organic Chemistry and Technology, Research Group EnVOC, Ghent University, Coupure Links 653, Ghent B-9000, Belgium

‡Research Unit in Environmental and Evolutionary Biology, Université de Namur, Rue de Bruxelles, 61, Namur 5000, Belgium

§Department of Environmental Management, Faculty of Environment, Vietnam National University of Agriculture, Hanoi 10000, Vietnam

∥European Commission, Joint Research Centre, Institute for Environment and Sustainability, Sustainability Assessment Unit, Via E Fermi 2749, I-21027 Ispra, Varese, Italy

*S Supporting Information

ABSTRACT: The environmental impacts of biomass

harvest-ing can be quantified through the amount of net primary

production required to produce one unit of harvested biomass

(SPPR-specific primary production required) This paper

presents a new calculation framework that explicitly takes into

account full food web complexity and shows that the resulting

SPPR for toothed whales in the Icelandic marine ecosystem is

2.8 times higher than the existing approach based on food web

simplification In addition, we show that our new framework can

be coupled to food web modeling to examine how uncertainty

on ecological data and processes can be accounted for while

estimating SPPR This approach reveals that an increase in the

degree of heterotrophy byflagellates from 0% to 100% results in

a two-fold increase in SPPR estimates in the Barents Sea It also shows that the estimated SPPR is between 3.9 (herring) and 5.0 (capelin) times higher than that estimated when adopting food chain theory SPPR resulting from our new approach is only valid for the given time period for which the food web is modeled and cannot be used to infer changes in SPPR when the food web is altered by changes in human exploitation or environmental changes

■ INTRODUCTION

The production of biomass by natural or artificial systems has

many well-documented environmental impacts Aquaculture

leads to for example, resource consumption,1eutrophication of

local water bodies,2and the spread of farm-origin diseases and

parasites to wildfish.3

Fisheries induce direct impacts to target species’ stock,4

substantial loss in fish biomass through mortality by discard,5 and disturbance of the benthic

community.6As a result of these impacts, various stakeholders

raise concerns about the sustainability of seafood production.7,8

One concern regarding biomass production in general is the

extraction of biotic resources A crucial biotic resource is net

primary production (NPP), i.e., the net amount of mass/energy

synthesized by primary producers that provides the basis for

higher trophic levels the Earth can sustain.9,10Because human

appropriation of NPP through biomass

consumption/extrac-tion can prevent other species to be sustained by NPP, the net

primary production both directly and indirectly required to

produce biomass extracted by man (PPR) can be used to assess

the environmental impact of biomass consumption/extraction

As a result, PPR is used in different environmental sustainability

assessment methodologies such as ecological footprint analysis, and life cycle assessment (LCA).11−19

The total PPR for biomass production of a given species is the product of the specific primary production required (SPPR), which is the amount of NPP required to produce one unit biomass of harvested species, and the amount of harvested biomass Current environmental impact assess-ments15−18 and ecological footprint studies14 calculate SPPR based on food chain theory, i.e., as SPPR = TE1‑TL, assuming a default trophic transfer efficiency (TE) of 10% for all ecosystems14,15,18,20 or a specific value for each ecosystem types16,17 and using the mean trophic level of the harvested species (TL) as listed in available databases (e.g., Fishbase21) More explanation about TL and TE can be found in the

Supporting Information, SI, (section A) We argue that there are two limitations to this approach First, this approach by

Received: May 22, 2015

Revised: September 7, 2015

Accepted: September 8, 2015

Published: September 8, 2015

pubs.acs.org/est

© 2015 American Chemical Society 11586 DOI: 10.1021/acs.est.5b02515

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definition assumes that energy/material transfer in a food web

can be described using a set of linear food chains In the SI

section D, we demonstrate that this assumption is likely to be

invalid in many cases Second, the TL of a given species may

change among ecosystems,22 and differences in TE are

observed among and within ecosystem types (Figure S1,

section A)

A more realistic method for SPPR calculation obtains

species-specific SPPR from a food web flow matrix,23

i.e., a square matrix defining feeding interactions between species in a

food web Before calculating the SPPR, the food web structure

is typically simplified to a set of intertwined food chains starting

from primary producers or detritus after removing all cycles

from this food web flow matrix.24

Next, two distinguished components of the SPPR coming from primary producers and

from detritus are calculated from these intertwined food chains

This approach has a limitation that is subtler than the approach

solely based on food chain theory, as explained in the previous

paragraph That is, the detritus component of the SPPR makes

no distinction between the origins of the detritus that can either

originates from primary producers (e.g., dead algae) or from

consumers (e.g., feces or dead grazers) This leads to an

overestimation of the SPPR since only a fraction of the detritus

originating from primary producers, which is part of NPP,

actually contributes to the SPPR By removing cycles from food

webs, this approach can distort SPPR estimation depending on

the degree of energy/material cycling, but to a yet to be

quantified extent.24

More details about these two limitations can be found in theSI section G

In this paper, we present a new mathematical calculation

framework that accounts for full food web complexity (i.e., it

does not remove food web cycles) to estimate the SPPR We

demonstrate the possibilities this approach offers by comparing

the SPPR obtained using the new framework with the SPPR

obtained after simplifying food web structure for the cases of

the Icelandic marine ecosystem and the northern Gulf of St

Lawrence, which differ in their degree of cycling Next, we

demonstrate how the new framework can be coupled to a food

web modeling technique to infer how uncertainty on ecological

data and processes translates to uncertainty of SPPR estimates,

illustrated for the case of Barents Sea

■ MATERIALS AND METHODS

Required (SPPR) Calculation: Overview The new

calcu-lation framework is based on input−output analysis as

conceived by Leontief25 and first applied in ecology by

Hannon.26 For more information and explanation regarding

ecological input−output analysis, we refer to the work of

Hannon26 and the SI section E A key element in the new

framework is the food web flow matrix, which expresses

transfers within the ecosystem, and between the ecosystem and

its surrounding environment, using a given currency (e.g., mass,

energy) This food webflow matrix can be derived via various

approaches, of which steady-state food web modeling is one

For simplicity, all primary producers will be gathered into one

group and the energy/materialflows from this group to other

groups will be changed accordingly From the food web flow

matrix, three core matrices in our new calculation framework

(i.e., the biotic transaction matrix, the production-normalized

transaction matrix and the production requirement matrix) are

derived to calculate the specific net primary production

required (SPPR) (Figure 1) These matrices and how to obtain them will be described in detail in the next sections

Required (SPPR) Calculation: Subdivision of Flows and Matrices Identification and Subdivision of Food Web Flows

In our new calculation framework, we consider n living compartments of a food web as components of the production system Each component receives inputs from its biotic environment (i.e., flows from the living compartments, imported biomass via immigration) and also from the abiotic environment (i.e., uptakes from detritus, dissolved organic or inorganic material pools) Subsequently, we subdivide the energy/materialflows (here collectively called “material flows”) leaving each component of the production system into“useful flows” and “waste flows”, following the convention of Hirata and Ulanowicz.27 Useful flows consist of flows to living compartments and net biomass growth that either causes biomass accumulation or biomass export (i.e., via emigration or

compartments Theseflows are illustrated inFigure 2 Biotic Transaction Matrix (Z) From the food web flow matrix, the transfers among n living compartments will be extracted to form the biotic transaction matrix, Z = (zij)nxn Each element zijrepresents the materialflow from the ithto the

jthliving compartment Net primary production (NPP) can be transferred to higher trophic levels indirectly through nonliving compartments, i.e., dissolved organic matter (DOM) and detritus (DET), via the consumption of bacteria and other detritivores, respectively This is because a portion of NPP (1)

is excreted to the DOM pool that is available for bacteria and/

Figure 1 New mathematical framework for calculation of specific primary production required (SPPR) z ij , a ij , l ij : the elements in the ith row and jth column of biotic transaction matrix (Z), production-normalized transaction matrix (A), and production requirement matrix (L), respectively; p j : production of the jth living compartment; I: identity matrix SPPR of the jth living compartment is the element corresponding to the primary producers in the jthcolumn of L The new calculation framework can be coupled with linear inverse modeling to provide a more ecologically realistic estimation of SPPR.

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or (2) goes to the DET pool before being grazed by

detritivores As the constructed biotic transaction matrix only

consists of living compartments, such indirect transfers of NPP

through nonliving compartments to higher trophic levels are

not accounted for To account for these transfers in the biotic

transaction matrix, the values of the flows from primary

producers to the jthliving compartment consuming DOM and/

or DET will be adjusted as follows

Let pDET,j and pDOM,j be the fractions of DET and DOM

originating from primary producers of the total flows from

these nonliving compartments to the jth compartment,

respectively The values of the adjusted flows from primary

producers to the jthcompartment (zp‑j.new) as calculated from

the originalflow (zp‑j) are thus as follows:

z p j z p j p z p z

where zDET‑jand zDOM‑jare theflows from DET and DOM to

the jthcompartment, respectively The old zp‑jare replaced by

these newly obtained zp‑j·new values in the biotic transaction

matrix

Production-Normalized Transaction Matrix (A) The

production of the jth living compartment (pj) is defined as a

sum of all material flows from this compartment to living

compartments and net biomass growth ( fj) minus the imported

biomassflow (z0j)

=

p j z f z

k

n

jk j j

1

0

(2)

As a result, the production (P) column vector for n living

compartments can be represented in matrix form as follows:

= × + −

P Z i F Z0 (3)

where i is the summation operator, a column vector with all

elements equal to 1, F is the column vector of net biomass

growths, and Z0is the vector of biomass imported to n living

compartments

The production-normalized transaction matrix (A) is then

calculated by normalizing the elements of each column of Z by

the production of the living compartment corresponding to

that column The matrix A can be represented in matrix form as

follows:

= × ̂−

where P̂−1is the inverse of a diagonalized matrix of vector P Each element aijof A represents the amount of material from the ithcompartment directly required to produce one unit of the jth compartment’s production Hence, each column of A represents the direct requirements for producing one production unit of the corresponding jth living compartment This normalization per produced unit is novel and different from the conventional normalization per total output amount (seeSI section E)

Production Requirement Matrix (L) In order to calculate SPPR, we also need to account for the indirect required net primary production per unit of production However, the A matrix only represents the direct flows between all living compartments per unit of production To resolve this issue, we will construct the production requirement matrix To derive its calculation, we will start with a simple equation accounting for the way in which n living compartments distribute their production to living compartments and to net biomass growth ( fj)

= + + + + = +

=

p j z j z j z jn f j z f

k

n

jk j

CombiningEquation 4andEquation 5 yields the following:

p a p a p a p f

Equation 6can be represented in matrix form as follows:

or:

= − −

P (I A) 1F (8) where I is the identity matrix The matrix L = (I− A)−1is the production requirement matrix and each element lijrepresents the amount of material from the ithcompartment that is directly and indirectly required to produce one unit of the jth compartment’s production.26 , 28

Note that in A, only the direct requirements are specified, while L represents direct and indirect requirements The specific primary production required (SPPR) of the jthcompartment will then be calculated

as the element in the jth column of L corresponding to the primary producers

L is calculated through inverse matrix calculation The requirement for matrix inversion is that the determinant of matrix (I − A) differs from zero Hence, in some cases, modifications need to be made If one living compartment has a production equal to zero, then the row and column corresponding to this compartment will be eliminated prior

to inversion Subsequently, compartments of which the exported biomassflows are zero, and all their predators have been removed from previous step, will be eliminated as well However, these eliminations do not affect the result of SPPRs

of the other compartments

Comparing the New Calculation Framework with the Existing Approach Based on Food Web Simplification

In the existing approach to calculate the SPPR for a given (group of) species from a food webflow matrix, all food chains which start from either primary producers or detrital matter to the respective (group of) species in the flow network are identified after removing all cycles, using the algorithm

Figure 2 A flow diagram represents inflows and outflows of a living

compartment zij and zjk: material flows from the i th and j th living

compartments to another j th and k th living compartments, respectively;

zjj: self-consumption flow of the j th living compartment; z 0j : imported

biomass flow from the surrounding systems; z DET‑j , zDOM‑j, zDIM‑j:

uptake from detritus, dissolved organic matter and dissolved inorganic

matter, respectively; zj‑DET, zj‑DOM, zj‑DIM: waste flows from the j th

compartment due to egestion, excretion and respiration processes,

respectively; f j : net biomass growth of the jthliving compartment The

dashed line represents the system boundary between the considered

ecological community and its surrounding environment.

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proposed by Ulanowicz.24 Subsequently, the corresponding

SPPR is calculated by the following equation:29

∑ ∏

=

Q P

SPPR

paths predator,prey

predator predator predator

predator,prey

(9) where P is production, Q is consumption, and DC is the diet

composition for each predator/prey constellation in each path

EE is the ecotrophic efficiency, i.e., the proportion of the total

production of a group that is consumed by the predation,

emigration, biomass accumulation andfisheries

As mentioned previously, this existing approach can lead to

overestimation of SPPR because only part of the detrital matter

coming from primary producers (i.e., part of net primary

production) should be included in the SPPR calculation To

overcome this limitation, one can multiply the detritus

component of SPPR with the fractions of detritus originating

from primary producers in the total contribution of detritus to

the diets of consumers

We have compared SPPR estimates between this existing

approach and the new framework for the cases of the Icelandic

marine ecosystem (low cycling) and the northern Gulf of St

Lawrence ecosystem (high cycling) For these two systems,

published food web models were available so that the food web

flow matrices (measured in ton of wet weight·km−2·year−1)

could be extracted.30,31 Because the fractions of detritus

originating from primary producers in the total flows from

detritus to detritivores were unknown, we assumed that these

were equal to the respective fractions of primary

producer-originated detritus in the total inflow to detritus compartments

The SPPR results based on the existing approach were obtained

using the ecological network analysis package in ECOPATH

software and Equation 9.29,32,33 The detritus components of

estimated SPPRs were then adjusted according to the

procedure mentioned above Subsequently, the new calculation

framework was applied to obtain the SPPRs from the extracted

food webflow matrices Detailed descriptions of the two food

web models and the calculations can be found in SI Section

C&D

Integrating Ecological Data and Uncertainty into the

New Framework Using Linear Inverse Modeling Linear

inverse modeling is a well-known and widely used tool to

quantify energy or materialflows in predefined food webs.34 − 38

One output of a linear inverse model (LIM) is the food web

flow matrix, which can directly be coupled to the new

calculation framework we present here We illustrate this

coupling for the Barents Sea case study In the case study, the

SPPRs of adult cod, young cod, herring, and capelin in the

Barents Sea ecosystem were calculated LIMs were already

available for spring 1998 and summer 1999 of the Barents

Sea,37 a highly productive marine high latitude ecosystem.39

These models include the compartments: dissolved organic

carbon (DOC), dissolved inorganic carbon (DIC), detritus,

bacteria, heterotrophic flagellates, heterotrophic ciliates,

phytoplankton (pico- and nanoplankton, diatom, and Phaeocytis

sp.), mezozooplankton (copepods), macrozooplankton (krill

and chaetognaths), cod Gadus morhua (split into adult and

young groups), herring Clupea Hargengus, and capelin Mallotus

villosus Because the fraction of flagellates that was

hetero-trophic in the spring was not available, the standing stock of

heterotrophicflagellates and pico- and nanoplankton (including

autotrophic flagellates) were unknown Therefore, three

scenarios: HF0, HF50, and HF100 were run, in which we

assumed 0, 50, and 100% of flagellates to be heterotrophic,

respectively As a result, we constructed and solved three LIMs (HF0, HF50, and HF100) for spring and one LIM (HF30) for summer using the package LIM in the software R version 3.0.1.40,41Compared to the published LIMs for this system,37

we added a constraint on the minimum copepod production rate (0.007day−1)42 to obtain a better constraint on the resulting carbonflows

All four LIMs were underdetermined, meaning that unknown carbon flows could be quantified with a certain range only Therefore, we used a Markov Chain Monte Carlo procedure to sample 1000 possible food web realizations Per LIM, SPPR was calculated for each species and for each of the 1000 food web realizations For each species (i.e., adult cod, young cod, herring, and capelin), we report the mean value and the 95% confidence interval of the mean SPPR

The SPPR values from our new calculation framework coupled with LIMs were compared to SPPR calculations based

on food chain theory, i.e., using SPPR = TE1‑TLto examine the

influence of including food web theory in SPPR calculations

To estimate the SPPR using food chain theory, the trophic levels (TL) of the above species were taken from the Fishbase database.21We found trophic levels of cod, herring and capelin

of 4.42, 3.23, and 3.15, respectively The trophic level of young cod was not available in this database; hence, we retrieved the value for trophic level of young cod of 4.0 based on the work of Blanchard et al.43We choose a transfer efficiency (TE) of 14%, which is the mean TE for temperate shelves and sea reported

by Libralato et al.44

■ RESULTS AND DISCUSSION

Comparison between the New Calculation Frame-work and the Existing Approach Based on Food Web Simplification The ratio SPPRcomplex (SPPR of our frame-work)/ SPPRsimple (SPPR of the approach with a simplified food web structure) was highly species-specific, ranging between 1 (e.g., herring, capelin) and 2.8 (toothed whales) for the Icelandic marine ecosystem and from 1 (molluscs) to 2.3 for redfish in the Northern Gulf of St Lawrence For adult cod (Gadus morhua), the species harvested most intensely in both ecosystems (>45% of total catches), SPPRcomplex/ SPPRsimple was 1.7 (the northern Gulf of St Lawrence) and 1.1 (the Icelandic marine ecosystem) (Figure 3) These

differences illustrate that food web complexity can greatly

influence biotic resource use estimation and that removing cycles can lead to the underestimation of SPPR However, for species not participating in any cycles our new calculation framework gave the same results as the simplified framework (e.g., herring, capelin in the Icelandic marine ecosystem, and molluscs in the Northern Gulf of St Lawrence)

The extent to which removing cycles affects the SPPR calculation depends on the degree of cycling in the food webs, which can be measured by the Finn’s cycling index.45 − 47

The degree of cycling in the northern Gulf of St Lawrence was much higher than in the Icelandic marine ecosystem, as indicated by the difference in the Finn’s cycling index (0.147 and 0.0023, respectively) Consequently, the effect of removing cycles on SPPR was more pronounced for the former ecosystem

The influence of food web simplification on SPPR estimates also depends on how the origin of detritus was accounted for in SPPR calculation For the Icelandic marine ecosystem, SPPRcomplex/SPPRsimple changed slightly when the fraction of detritus from consumers was also taken into account in SPPR

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calculation due to the very high contribution of detritus from

primary producer (up to 98%) to the total inflow to the detritus

pool (Figure S3) Larger differences, ranging from 13%

(Capelin) to 38% (Flounders) were noted for the Northern

Gulf of St Lawrence because of a lower contribution (60%) of

primary producer-originated detritus in this system (Figure S5)

However, the SPPRcomplex/SPPRsimple (where SPPRsimple does

not correct for the origin of detritus) was higher than 1 (except

for American plaice, skates,flounders, molluscs, large demersal

fish, and large crustaceans in the northern Gulf of St Lawrence)

(Figures S3 and S5) Hence, this illustrates thatin most

casesremoving cycles leads to an underestimation of SPPR

rather than an overestimation by inclusion of detritus from

consumers in the two studied food webs

Coupling the New Framework with Linear Inverse

Modeling for the Barents Sea The uncertainty surrounding

ecological data and processes greatly influenced the estimated

SPPR Here, the uncertainty considered was the degree of

heterotrophy by flagellates As the fraction of heterotrophic

flagellates in the flagellate’s community rose from 0 to 100% in

the spring models, the mean SPPR increased by a factor of 2 for

allfish species These increases can be attributed to an increase

in conversion of organic carbon to CO2 (and therefore decreasing carbon transfer efficiencies) as a result of increasing heterotrophy In summer, mean SPPRs decreased by 23% (herring), 46% (adult cod), and 63% (young cod) compared to the lowest means values for spring (HF00 model) These decreases can be explained by the migration of capelin (CAP) out of the ecosystem, which reduces the number of carbon transfers in the food web, and thus leads to increase in carbon transfer efficiency.37

Hence, coupling linear inverse modeling with our new calculation framework allows one to quantify SPPR and to assess the propagation of uncertainty in ecological data and processes into SPPR estimates

Mean SPPRs for capelin and herring calculated from combining LIMs with our new calculation framework were always higher than those resulting from the food chain approach, which assumed a constant transfer efficiency of 14% Differences between both approaches mounted to factors

of 3.9 (herring) and 5.0 (capelin) Conversely, the mean SPPRs

of young cod and cod calculated from the new calculation framework were lower than those provided by the food chain approach, except for the models assuming 50% and 100% flagellate heterotrophy Interestingly, our new calculation framework indicated that the mean SPPRs for herring were always lower than that for capelin, while the food chain approach suggested the opposite This result can be explained

by the higher mean trophic level attributed to herring in the Fishbase database compared to capelin while the transfer

efficiency is assumed to be constant for all species in an ecosystem Hence, this implies that a constant transfer

efficiency for all species is not adequate for quantifying SPPRs of different (groups of) species in an ecosystem Our

Figure 3 Ratios of SPPR calculated by the new calculation framework

(SPPRcomplex) and by an approach that simplifies food web structure

(SPPRsimple) for the Icelandic marine ecosystem and the northern Gulf

of St Lawrence The two approaches give the same results when

SPPRcomplex/SPPRsimpleequals to 1 (blue horizontal line). Figure 4.Specific primary production required (SPPR) for adult cod

(COD), young cod (YCO), herring (HER), and capelin (CAP), as calculated from food web models for spring (HF00, HF50, HF100) and summer (HF30) in the Barents Sea compared to results from a food chain approach with transfer efficiency of 14% (TE14).

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new calculation framework allows one to relax this assumption

and to calculate species-specific SPPR of all species in an

ecosystem from its food webflow matrix

Implications and Future Perspectives The framework

we present adds ecological realism to the environmental impact

assessment of biomass production Most notably, it allows one

to explicitly account for material cycling within ecosystems

while calculating SPPR Indeed, within most ecosystems,

material tends to cycle as opposed toflowing unidirectionally,24

for example due to the presence of omnivores or cannibalistic

species.48,49 Our results suggest that eliminating cycles from

food web flow matrix may underestimate the primary biotic

resource use This problem has been mentioned before by

Ulanowicz;24however, our present contribution is the first to

demonstrate this quantitatively Also the exchange of material

between ecosystems is explicitly included in the SPPR

calculation method we propose In many ecosystems, including

aquatic ecosystems, biomass dispersal can occur due to currents

and/or the active migration of individuals In the presented case

study of the Barents Sea, there was an advection of copepod

biomass with Atlantic Ocean water We assumed that the

requirements per capita production of this imported biomass

were the same as for locally produced biomass, in absence of

data for surrounding food webs However, we note that,

technically, multiple food webs can be easily combined into a

landscape of food webs

Transfer efficiency, representing the efficiency of energy/

material transfers among community’s components in

ecological studies, is defined as the ratio of the sum of exports

and predation to the total ingestion for a given trophic level in

the food chain approach.50As such, dead biomass caused by

natural nonpredatory mortality is considered as waste or

inefficient fraction of energy/material transfer Furthermore,

fishing or harvesting activities can be considered as “predation”

in an ecosystem Hence, if dead biomass is harvested by human

and considered as a product, then it will represent a useful

production and be subtracted from the biomass lost as detritus

In our new framework, we therefore clearly consider the part of

production that lost as detritus (caused by natural

non-predatory mortality and not harvested by man) as waste and

the rest as useful product As a result, inputs of a living

compartment are only allocated to the parts of production that

are utilized/accumulated in the system through predation/

biomass accumulation or exported out of system by emigration

andfisheries (called exploitable production) This is based on

the similar distinction between product, to which the

environmental burdens are attributed, and waste, to which

none is assigned, in LCA, which is widely used tool for

quantifying environmental impacts of a product or service

throughout its life cycle.51In an ecological production system,

waste (i.e., DOM, DET) released from consumers can be

“treated” by bacteria and detritivores without extra requirement

of NPP, meaning that there is no burden for waste treatement

We consider exploitable production as the only product of each

living compartment; hence there is no allocation needed among

products like in multifunctional processes in LCA The way that

our new framework considers natural nonpredatory mortality

and makes allocation to exploitable production is also

consistent with the existing approach that calculates SPPR

based on food web simplification By using ecotrophic

efficiencies inEquation 9, it is clear that the input requirements

(Qpredator) are allocated to only the parts of production

exploitable by living organism and humans (Ppredator ×

EEpredator)

The interpretation of SPPR estimates from our new calculation framework should be approached with care In our calculation framework, SPPRs are calculated from a food webflow matrix that represents a snapshot of a food web for over a fixed time period and a given degree of exploitation Thus, the SPPRs our framework calculates are only valid for this exploitation scenario As such, SPPRs should not be used

to assess resource use for scenarios that represent substantially higher or lower exploitation as these may alter the food web and thus the SPPR calculated by the framework In addition to human exploitation, also environmental changes (e.g., climate change, nutrient enrichment, toxic chemicals) can cause changes in the food web’s structure or the magnitude of its flows,38 , 52

thus also possibly leading to the changes in SPPR estimates If the resulting changes in food webflows are known, then our framework can be used to calculate the corresponding changes in SPPR

Steady-state food web modeling (e.g., LIM) is one of the most commonly used techniques to derive energy/material transfers in food webs Although steady-state models provide only snapshots of food webs, temporal dynamics can be inferred by constructing and solving these models at different discrete intervals of time.38 As such, the changes in SPPR estimates over time can be assessed by applying our new framework on the resulting food web flow matrices For example, the SPPR for adult cod in Barents Sea was reduced by 46% in Summer in comparison with Spring Schaubroeck et

al.53 (re)introduced a framework to also construct nonsteady stateflow matrices by considering depletion and increment of biotic food web compartments as part of import (immigrated) and net biomass growth, respectively Our presented framework

to quantify SPPR is also applicable to nonsteady state biotic transaction matrices derived by their approach However, it should be noted that our new calculation framework is independent of food web modeling techniques by which food webflow matrices are derived

The approach we propose for SPPR calculation can be extended to calculate land occupation or ecological footprint (EF) per biomass amount (ha·yr·kg biomass−1) by dividing SPPR (kg NPP·kg biomass−1) by total areal net primary production (kg NPP·ha−1·yr−1) of the studied system In the conventional EF calculation, one usually applies the food chain approach to calculate the SPPR value.14Due to the limitations associated with the food chain approach in estimating SPPR, alternatives using quantitative ecosystem modeling, which allow inclusion of a large amount of information, are preferrable.29,44 Our new approach is such an alternative approach and, for the ecosystem examined here, proved to be more conservative than classical methods because the SPPRs were always higher than those obtained after food web simplification For example, the SPPR for adult cod can be 1.7 times higher than the result from the existing approach (the Northern Gulf of St Lawrence); hence, the respective ecological footprint will likewise be 1.7 times larger In addition, the new calculation framework calculates the species-specific SPPR for all species in the systems, as such allowing one to account for the footprint of fishing associated with by-catch and mortality by discard, i.e of nontarget species In the field of LCA, Huijbregts et al.54 suggested using ecological footprint as an alternative single score indicator Our new framework contributes to better quantification of the ecological footprint of fishery-related

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product (e.g., fish meal and fish oil), particularly in terms of

marine ecological footprint which is left unaccounted for in

their analysis For example, the ecological footprint or direct

marine land occupation of 1 kg herring harvested in Barents Sea

(summer) is about 17 × 10−5 ha·year (se = 0.7 × 10−5, SI

section F) This value can be then transformed to standardized

unit of ecological footprint (global hectares·year−gha·year) by

using equivalent factor (which accounts for the difference in

productivity of different land use types) of 0.4 for marine

land.54,55

Overall, our results demonstrate that explicitly incorporating

food web theory allows refining estimates of primary biotic

resource use in sustainability assessment of a product When

combined with food web modeling, it can propagate

uncertainty on ecological processes to such estimates Even

though we focused on marine ecosystems, the presented

framework is applicable to any ecosystem, including freshwater

and/or terrestrial ones, for which a food web flow matrix is

available or can be estimated We therefore expect this

framework to advance the use and development of SPPR in

environmental impact assessment and ecological footprint

accounting studies

■ ASSOCIATED CONTENT

*S Supporting Information

The Supporting Information is available free of charge on the

ACS Publications websiteat DOI:10.1021/acs.est.5b02515

Additional information on trophic level (TL) and

transfer efficiency (TE) of different marine ecosystem

types (section A), case studies’ system description and

calculation (section B,C), mathematical proof (section

D), introduction to input−output analysis (section E),

marine land occupation calculation (section F), and

numerical examples (section G) (PDF)

■ AUTHOR INFORMATION

Corresponding Author

*Tel.: +32-9-2649927; fax: +32-9-2646243; e-mail: Ducanh

luong@ugent.be(A.D.L.)

Notes

The authors declare no competingfinancial interest

■ ACKNOWLEDGMENTS

A.D.L is a PhD research fellow supported by Special Research

Fund (BOF) of Ghent University T.S was granted by a

research project (number 3G092310) of the Research

FoundationFlanders (FWO-Vlaanderen) We thank Bui

Xuan Dieu for discussion on mathematics and the EwE

development team for giving us the permission to access the

source code of ECOPATH with which SPPR based on food

web simplification was calculated

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