# A new conceptual 'cylinder' framework for sustainable bioeconomy systems and their actors

Hugo de Vries, Mechthild Donner, Monique Axelos

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Hugo de Vries, Mechthild Donner, Monique Axelos. A new conceptual 'cylinder' framework for sustainable bioeconomy systems and their actors. Journal of Agricultural and Environmental Ethics, 2021, 34 (2), pp.1-26. 10.1007/s10806-021-09850-7. hal-03187421

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# A New Conceptual 'Cylinder' Framework for Sustainable Bioeconomy Systems and Their Actors

Hugo de Vries¹ · Mechthild Donner² · Monique Axelos³

Accepted: 15 February 2021

© The Author(s) 2021

## Abstract

Concepts for sustainable bioeconomy systems are gradually replacing the ones on linear product chains. The reason is that continuously expanding linear chain activities are considered to contribute to climate change, reduced biodiversity, overexploitation of resources, food insecurity, and the double burden of disease. Are sustainable bioeconomy systems a guarantee for a healthy planet? If yes, why, when, and how? In literature, different sustainability indicators have been presented to shed light on this complicated question. Due to high degrees of complexity and interactions of actors in bioeconomy systems, trade-offs and non-linear outcomes became apparent. This fueled the debates about the normative dimensions of the bioeconomy. In particular, the behavior of actors and the utilization of products do not seem to be harmonized according to the environmental, social, and economic pillars of sustainability. Potential conflicts require a new conceptual framework that is here introduced. It consists of a 'sustainability' cylinder captured between an inner-cylinder, representing order, and an outer-cylinder for chaos, based on the laws of physics and complex adaptive systems. Such a framework permits (bioeconomy) systems to propagate in the sustainability zone only if they follow helical pathways serving as the new norms. Helices are a combination of two sinusoidal patterns. The first represents here the sustainable behavior of interacting actors and the second the balanced usage of resources and products. The latter counteracts current growth discourses. The applicability of the conceptual cylinder framework is positively verified via 9 cases in Europe, which encompass social-organizational and product-technological innovations. –

**Keywords** Sustainable bioeconomy · Conceptual framework · Complex adaptive systems · Game theory · Business cases

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<footnote>Hugo de Vries
hugo.de-vries@inrae.fr</footnote>

<footnote>Extended author information available on the last page of the article</footnote>
# Introduction

In 2018, the European circular and sustainable bioeconomy strategy (Patermann & Aguilar, 2018; EC DG R&I, 2018) and the circular bio-society 2050 reports (Biosocyty, 2020) provide clear, largely supported, ambitious visions for bioeconomy systems. They are supposed to contribute to the highly challenging Sustainable Development Goals (SDG) of the United Nations (Lu et al., 2015). Recently, the European New Green Deal and Fork-to-Farm strategy have been setting the scene for the new research and innovation programs for the bioeconomy, including the food domain (EC, 2020a; EC, 2020b; EC, 2020c).

These strategies are responses to the current linear ‘take – make – consume – dispose of’ chains, which are associated with mass consumption and unsustainable behavior of actors. These chains often result in waste (Fusions, 2019; Morone, 2019), over-exploitation of natural resources (Meadows et al., 1972; EC, 2011¹), and competing claims for resources (Tuck et al., 2012), food and nutritional insecurity. Numerous indicators show (exponential) growth patterns (e.g. for climate change, biodiversity loss, overweight and obesity, energy, and water usage, urbanization, social inequalities), possibly with severe consequences for the planet, profits, and the well-being of people (Barnosky et al., 2012; IPCC, 2019; IPBES, 2019; SAPEA, 2020). The importance of these challenges is reflected by their prominence in most of the 17 SDGs and even more accentuated by the current COVID-19 crisis.

Systems showing continuous overall (exponential) growth patterns tend to end up in chaos or order as explained by the laws of thermodynamics (Georgescu-Roegen, 1971; Prigogine & Stengers, 1985) via a series of small and large scale events following power laws, like avalanches on a growing sand pile (Andriani & McKelvey, 2011; Bak et al., 1988). The zone in between order and chaos, called the melting zone (Carbonara et al., 2010), is narrow, however, with a certain bandwidth. One can hypothesize that systems continuously evolving in this zone are sustainable by nature, as further discussed below. This should also hold for bioeconomy systems that are here defined as systems that organize the utilization of bio-based products (including natural resources) within certain boundaries, appreciating its wider environmental, social, political, and economic context.

Sustainability and sustainable bioeconomy systems (SBS) are now widely discussed (e.g. Dubois and Gomez, 2016; Bugge et al., 2016; D'Amato et al., 2017; Szekacs, 2017), utilizing the Brundtland definition as the basis (WCED, 1987); hence, they integrally consider the three pillars ‘planet, people and profit’ and specific actions that will not compromise future generations. However, the understanding of the functioning of bioeconomy systems and the way to change the current trends are less obvious, in particular at the Global and European levels but

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<footnote n="1">¹ EC, 2011; ‘Over the twentieth century, the world increased its fossil fuel use by a factor of 12, whilst extracting 34 times more material resources. Today in the EU, each person consumes 16 tons of materials annually, of which 6 tons are wasted, with half going to landfill. Whilst demand for food, feed and fiber may increase by 70% by 2050, 60% of the world’s major ecosystems that help produce these resources have already been degraded or are used unsustainably.’</footnote>
also local levels. The appealing concept of a circular economy, as re-introduced
by the Ellen MacArthur Foundation (2015), has widely been promoted in the past
decade. It largely emerged from legislation (Murray et al., 2015), even though
closed-loop thinking already exists since the beginning of agricultural production
by feeding back essential nutrients to the soil. The success of the circular bioec-
onomy approaches will depend on transformation costs (like money, water, energy,
and safety measures) for the recuperation and utilization of nutrients somewhere in
the bioeconomy. To establish whether or not environmental sustainability is also at
stake, a sound scientific basis is required e.g. based on thermodynamics and system
boundaries (Korhonen et al., 2018). Social sustainability deserves attention as well
(Ostrom, 2009). Here, we like to remark that the mathematical representation of a
circle implies (i) ‘equally *fair and just* distances’ for all actors at the circle to its
center and (ii) the absence of a beginning or end, hence *shared responsibilities* for
all being suppliers and demanders at the circle. In contrast, traditional linear food
and other fossil-based product chains, from producers, manufacturers, retailers to
consumers, generally show end-of-chain dominance.

SBS needs metrics and joint actions to understand and measure the impacts
of current actions (Bracco et al., 2019; Ronzon & M'Barek, 2018). Besides, they
require resources, multi-level and landscape-oriented approaches (Geels, 2002);
the landscape refers to the overall socio-technical setting for interactions of actors.
Finally, they ask for renewed considerations of planetary boundaries presented as
radars (Rockström et al., 2009); the boundaries are associated with the planet's bio-
physical subsystems or processes. An alternative image is a Doughnut in which also
social limits are incorporated (Raworth, 2017); the image of a doughnut shows an
inner circle representing the 'social foundation' and the outer circle serving as the
'ecological ceiling (or planet's bio-physical limits)'. Beyond the ecological ceil-
ing, one can speak about unacceptable environmental degradation, while below the
social foundation the human primary needs are fundamentally challenged.

Radars and doughnuts partially provide information about the spaces within
which human beings can act. In the case of planetary, environmental, boundaries
only upper limits are given, while for social boundaries only lower limits are pre-
sented. Here, we state that one should also define lower limits for planetary bounda-
ries and upper limits for social ones; however also for economic ones. This results in
sets of social – or socio-economic – foundations and ceilings as well as ecological
foundations and ceilings. As we will see later, this corresponds with the thoughts
about correct interpretations of the order-melting-chaos zones. The chaos zone cor-
responds then to the zone beyond these ceilings, while the order zone is below the
foundations. It should also be noted that radar and doughnut are presented as two-
dimensional images, hence they are explicitly lacking the time dimension. This does
not make them suitable for visualizing dynamic behavior and (un)sustainable out-
comes in time. These two considerations will form the basis for constructing our
conceptual ‘cylinder’ framework (see Fig. 1).

We hypothesize and discuss that sustainable (bioeconomy) systems are char-
acterized by their balancing evolution between order and chaos, hence between
social-environmental-economic foundations and ceilings. However, this immedi-
ately asks for a reflection on the normative dimension of sustainability, which is
<figure><img src="image_6.png" /><figcaption>**Fig. 1** The cylinder confinement for sustainable bioeconomy (incl. food) systems evolving in the safe and fair operating space (SFOS), in between order and chaos, hence following scenario 3; the SFOS is identical to the melting zone in Fig. 3 in which Complex Adaptive Systems evolve. Bioeconomy (including food) systems that are unsustainable enter either in the chaos or order zone, following respectively the scenarios 1 or 2. Note the interconnectedness, via a helix, between the behavior of players and biomass utilization in a sustainable way. Source: Modified image of https://www.radartutorial.eu/06.antennas/pic/zirkulanim.gif is included</figcaption></figure>

inherent in its conceptions and debates but very complex, as it involves different (conflicting) visions among various societal actors and contested pathways (Schlaile et al., 2017). The normative dimension also refers to the question of ethical leadership (Blok, 2018) in bioeconomy systems as well as of dedicated innovation systems (Pyka, 2017) and responsible research and innovation pathways (de Saille, 2015; von Schomberg, 2013). Without such a reflection, bioeconomy systems may pass ceilings and foundations. Also, the visions on desirable ceilings and foundations as well as on the pathways to sustainability may be quite different (Schlaile et al., 2017). This immediately poses the following questions: (a) In what way can the three dimensions of sustainability (environmental, social, and economic) be harmonized to avoid conflicting visions and outcomes of bioeconomy systems? (b) Which interacting system elements propagate in a sinusoidal manner under changing conditions? (c) Which system elements provide the ‘environments’ and ‘limits’ such that balancing behavior may appear? (e) Which system elements reveal (un) sustainable pathways? (f) Which real-life cases provide insights and allow formulating policy options?

To answer these questions, we will stepwise introduce a conceptual framework for understanding and analyzing SBS in the following section. First, a cylinder

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concept is constructed for dynamic systems that encompass all system elements (playing fields, players, pieces, moves, rules, win/lose, and duration). It includes the notion that sustainable systems continuously evolve in a melting zone in between order and chaos, hence following combined helical pathways. Second, it incorporates the mathematical description of helices as constructs of 2 sinusoidal-like waves. In bioeconomy, this brings the behavior of players and the utilization of products in harmony. Also, both the overall global bioeconomy system and the multiple local systems should be able to perform sustainably. Third, the theory of complex adaptive systems – i.e. systems that continuously evolve in the ‘melting’ zone also if challenged by extreme conditions – is linked with the conceptual framework, thus revealing which player networks proceed harmonically in the melting zone. The same should hold for the utilization of products. Here, we take into account that the earth is an open thermodynamic system, i.e. fueled by solar energy input and emission outputs of greenhouse gases. In the ‘case studies’ section, the conceptual framework is elucidated via practical cases. In the ‘discussion’ section, the framework serves the debates on the normative dimensions of SBS and its actors. Finally, conclusions are drawn and options are given how stakeholders, including policymakers, could act while operating within the here proposed normative dimensions of a sustainable bioeconomy.

# Towards a Conceptual Framework for Analyzing Sustainable Bioeconomy Systems (SBS)

## From Radar and Doughnut to a Cylinder Confinement

Which ‘confinement’ area allows systems to follow sinusoidal-like patterns? We start with the integration of the time dimension in the previously presented ‘doughnut’ and ‘radar’. This yields a novel cylinder configuration with three zones (Fig. 1), the order, melting, and chaos zones. The melting zone is a hollow cylindrical tube centered around a ‘highly ordered (rigid) zone’. This inner cylinder represents e.g. the non-vital planet earth that is not able to respond to primary needs. A third, outer, cylinder represents a ‘highly chaotic zone’, e.g. the over-exploited or over-heated planet earth where excessive behavior leads to extreme and irreversible inequalities. Consequently, the melting zone can also be called a safe operating space in social-ecological systems (Anderies et al., 2019; Rockström et al., 2009) or fair and safe operating space (this publication); the latter refers to the reflections on framings of food as a commodity, commons, and human right (SAPEA, 2020). The cylinder configuration allows defining contrasting outcomes – presented as 3 different scenarios – for bioeconomy systems (‘win-lose’ in game theory; like SDG outcomes). Besides, the other 6 key elements of systems or game theory (Neumann & Morgenstern, 1944) are presented, namely players, pieces, rules, moves, playing fields, and duration/time (the light blue text boxes).

The element ‘players’ include all actors in bioeconomy systems (like producers, NGOs, public institutions, citizens); their overall behavior should follow pathways in the green area to reach a sustainable output. The element ‘pieces’ includes
<figure><img src="image_8.png" /><figcaption>**Fig. 2** Helical structures; a A single, double, and triple concentric helix in the cylinder confinement (modified from Serna et al., 2019); b DNA c Alpha-helix with top and side views; d spiral structures in nature; e spiral structures in food and non-food products; f two propagating sinusoidal curves form a helix; g predator-prey populations in time; h helicoid structure. Source: Fig. 2a—Helices in a tube, own design, based on work of Serna et al., 2019; Fig. 2d—Spiral growing plant, wikipedia commons; https://commons.wikimedia.org/wiki/File:DirkvdM_natural_spiral.jpg; Fig. 2f—Helix – 2 sinusoidal curves: own design, based on picture of wikipedia commons image: https://www.radartutorial.eu/06.antennas/pic/zirkulanim.gif; Fig. 2g—Own design, inspired by https://en.wikipedia.org/wiki/Lotka%E2%80%93Volterra_equations#/media/File:Lotka_Volterra_dynamics.svg; Fig. 2h—Helocoid: slightly modified, based on https://en.wikipedia.org/wiki/File:Helicoid.svg. From Wikimedia Commons, the free media repository</figcaption></figure>

renewable resources, transformed functional and healthy products, recycled products, and services like safety & security & health insurance, labor, etc. Overall, their utilization should also follow pathways in the green area. The element 'moves' refers to all steps dealing with the handling of pieces including production, manufacturing, distribution, consumption, usage/digestion, and recycling; the outcomes of moves should guarantee that pathways remain in the green area. The element 'playing fields' regards all kinds of territories from planetary scales to local environments (geographic, political, legislative, etc.). These should be chosen such that pathways can be followed in the green area. The element 'rules' encompasses legislation and incentives, hence defines the freedom to play, the rights, and the obligations for players to reach sustainable outcomes. The final element is the duration, or time axis, for exploring pathways.
Interacting Helices, as Compositions of 2 Sinusoidal Waves, Converge
into an Overall Concentric Helix in the Cylinder Confinement

Does the cylinder confinement enable systems to evolve in a sinusoidal-like man-
ner? Yes, one can learn from fluid dynamics that under specific thermodynamic
conditions and considering interacting (nano-)particles with short-range attraction
and long-range repulsion, cylindrical confinement promotes the formation of heli-
cal structures (Jung & Ha, 2019; Serna et al., 2019). Their morphology depends on
pore size and boundary conditions (Fig. 2a). If a short-range attraction is absent,
only repulsive interactions govern the system; this behavior is not observed. Heli-
ces have mathematically well-described characteristics and are known as essential
natural compound structures like those of DNA (Fig. 2b) and of proteins (see for
example the α-helix from a top and side view; Fig. 2c). One also recognizes helix
structures in living species (Forterre & Dumais, 2011) like plants, shells, sunflow-
ers, and strawberries (spiral structures, following Fibonacci sequences, Fig. 2d). In
food and bio-based product processing, stable helices are also rather easily created
(see Fig. 2e for ropes, cakes, and pasta).

Helices are among the elementary shapes that are observed in the filamentary and
molecular structures of nature. Even though, they are quite complex from mechani-
cal properties points of view and minimum energy configurations (Chouaieb et al.,
2006). The conformation of proteins is directed towards the lowest free energy.
Although the overall conformation of each protein is unique, two regular folding
patterns are often found in parts of them, one is the alpha-helix structure (Alberts
et al., 2002). The formation of helical structures is also far from trivial, as shown for
example in the food domain for gelatin via covalent functionalization (Zaupa et al.,
2011).

For our discourse, it is important to note that, mathematically speaking, helices<fnref n="2" />
*are three-dimensional structures formed by 2 sinusoidal waves propagating in time*
(z-axis) in two perpendicular planes (one sinus in the x–z plane and one in the y–z
plane). This is presented in Fig. 2f, and implicitly in Fig. 1 via the dotted curves. If
one supposes that the x-axis represents ‘utilization of pieces (either resources, prod-
ucts or services)’, the y-axis the ‘behavior of players’ and the z-axis the ‘time’ (see
Fig. 1), then endless propagating helical structures should be formed by needs and
behaviors following balancing, sinusoidal-like patterns in between order and chaos.
Remarkably, this three-dimensional configuration allows connecting the behavior of
stakeholders with the utilization of products in a harmonic way. One could notice
similarities between the here presented balancing curves and patterns for predator
and prey populations in time within a specific territory, as shown in Fig. 2g. The
boundaries are set by socially-accepted norms, ecological boundaries, and economic
constraints, hence, the dimensions of the three pillars of sustainability. These social

<footnote n="2">² It should be noted that our representation of a helix is not referring to the helix systems described by Carayannis et al., (2019). The latter are linking knowledge, innovation and environment, either as ‘university-industry-government relations’ (triple helix), an additional “media-based and culture-based public” (quadruple helix) and a final extension to the inclusion of the “environment” (quintuple helix).</footnote>
norms, boundaries, and *constraints should always have both lower* – the social foundation guaranteeing the fulfillment of human primary needs – *and upper limits* – the social ceiling avoiding excessive behavior and extreme inequalities – as mentioned before, to present an operational window for actors (or utilized products) in a bioeconomy system to endlessly propagate in a balancing way.

As outlined above, the normative dimensions of SBS are now appearing in the form of a conceptual cylinder framework; in other words, the normative dimensions of sustainable bioeconomy seem to reveal ‘cylindrical symmetry’ in mathematical terms. This implies that ethical leadership, responsible research and innovation programs, decisions of policymakers, or ethical behavior of other players should lead to clearly defined social, environmental, and economic foundations and ceilings. They also should provide acceptable options to continuously balance in the melting zone, here phrased as the safe and fair operating space (Fig. 1).

One could ask if the cylinder framework is also relevant in the case of multiple, interacting, local bioeconomy systems. Figure 2a shows the *co-evolution of multiple, intertwining, helices finally converging into an overall concentric helix*, under well-defined thermodynamic conditions. The helicoid representation of the overall concentric bioeconomy system is in particular interesting to underline, since these are forms of minimal surfaces when bounded by a closed space, like a spiral staircase; this also holds for catenoid structures and planes (Colding & Minicozzi, 2006; partly based on Meusnier J.B. work in 1776; Fig. 2h). Even if such a scheme is a simplification of reality, it serves to explain how multiple local SBS could interact, show co-evolutionary pathways and form the overall, global, concentric SBS.

## Helical Structures in Cylinders, Complex Adaptive Systems, and Open Thermodynamic Systems

In our conceptual cylinder framework, the adaptation capacity and the resilience of SBS is lacking. This is of crucial importance for our debate on normative dimensions and ethical considerations concerning the behavior of players. So far, the *complex adaptive system* (CAS; Gell-Mann, 1994; Holland, 1998; Kauffman, 1995) theories are rarely mentioned and not yet systematically explored for integral SBS (de Vries, 2017), except for specific domains like e.g. climate-smart food villages (Jagustović et al., 2019). CAS is based on the thermodynamic plot in which the diversity of N agents (or actors or stakeholders) versus their interactions K is sketched in 2-dimensions, see Fig. 3 (Kaufmann, 1995; de Vries et al., 2018). Herein, three zones are shown: an order, melting, and chaos zone. The melting zone is in between the order and chaos zones, i.e. the same green zone as in the ‘cylinder configuration’ in Fig. 1. It is the zone of self-organization, auto-catalytic behavior, adaptation, and resilience (Martin & Sunley, 2007), emergence, and co-evolution. Co-evolution describes the coupling of fitness landscapes such that adaptive moves by one player deform the fitness landscapes of its immediate partners; this is similar to the interacting individual helices of Fig. 2a resulting in the helicoid in Fig. 2h. In the melting zone, CAS

<figure><img src="image_9.png" /></figure>
<figure><img src="image_10.png" /><figcaption>**Fig. 3** The ‘CAS’ scheme shows four different configurations of actors in bioeconomy systems, either in the order or chaos or melting/sustainability zone; in the latter complex adaptive systems evolve</figcaption></figure>

maintains quasi-equilibrium states<fnref n="3" /> (Nicolis and Prigogine, 1989; Kauffman, 1996). Properties include non-linear behavior, scalability, and butterfly effects (Carbonara et al., 2010). The latter implies that minor changes at sensitive intervention points may either maintain the self-organized behavior of actors or push the overall system over the edge of order and chaos (Farmer et al., 2019). This notion is highly relevant today in the discourses about COVID-19. The edges and the bandwidth of the melting zone are determined by external constraints and rules, e.g. acceptable climate conditions, a certain level of (bio-/cultural-) diversity, social limits for the actors, and resource usage. Each constraint – environmental, social, economic – has both a lower and an upper limit in between which a system balances as mentioned before.

The NK model of Kauffman (1995), described as the number of interactions ‘K’ between diverse players ‘N’, teaches us the following. If the NK model is applied for either a *purely* linear or circular food chain configuration (number of interactions ‘K’=2, i.e. each stakeholder ‘N’ deals with only one supplier and one customer; see Fig. 3; bottom left), the configurations are rigid. If applied for multiple cascading business configurations (very high number of interactions ‘K’ between various stakeholders ‘N’; Fig. 3; top right), the configurations are chaotic. However, if utilized for interactive networks of stakeholders with an intermediate number of interactions ‘K’ between stakeholders ‘N’ (Fig. 3; center), then the configurations become self-organized, showing sinusoidal patterns. The linear and circular concepts may become sustainable in only exceptional cases e.g. if the number of stakeholders becomes very high (N very large; see Fig. 3). The same holds for cascading

<footnote n="3">³ Not a permanent equilibrium, which would not allow survival of species.</footnote>
business pathways with appropriate sets of relatively low N, K-values. This is an important observation for debates about the circular economy, the linear chains for food and other bio-based products, and the cascading concepts for the valorization of resources. Quite often it is stated that strategies are in development to make them sustainable, however, this isn't always possible as explained here.

Finally, a model for the utilization of products, either as raw agro resources or as processed bio-based products, or services in the melting zone is required (see Fig. 1) which allows revealing sinusoidal-like curves. This model needs to take into account the huge variety of production schemes for renewable resources, the multitude of conversion pathways to assembled products, and the heterogeneity of recyclable products. Second, external inputs are to be considered in all those steps, such as (solar) energy, water, minerals, and gaseous molecules. Third, the potentially unavoidable losses are to be addressed such as heat and the emission of greenhouse gases (GHG). Fourth, the temporal storage or buffering capacity of soils and marine environments for nutrients are to be included. Finally, the planetary lower and upper boundaries (see the introduction and Rockström et al., 2009) require attention like the carrying capacity of the planet (Szekacs, 2017), the limitations for greenhouse gases, and the maintenance of nature and biodiversity. Such a model is thus quite complex. However, a simplified first-order ‘input – moves – output – moves – input – …’ model suffices in the context of our conceptual cylinder framework. We call this here an *Open Thermodynamic and Circular Model (OTCM)*, because of the solar energy input as the driving force, and as outputs the recycled nutrients, unavoidable emissions, and temporal storage of (bio-)matter.

If appropriately and ethically (Blok, 2018) steered, this simplified model allows sinusoidal patterns in the utilization of resources and products to evolve between limits. This implies that mass consumption, avoidable waste streams, over-exploitation of the planetary capacities, GHG emissions above limits, hunger, and poverty, etc. are thus unacceptable options leading to either chaos or order. Responsible research and innovation pathways are foreseen to counteract these options (von Schomberg, 2013). This suggests e.g. that science becomes part of the societal contract (De Saille, 2015) and companies voluntarily carry societal responsibility as expressed in their Corporate Social Responsibility (CSR) reports (Luhmann & Theuvsen, 2016).

## Case Studies

To exemplify the conceptual framework, we have selected and analyzed cases in Europe in which we have been involved. These cases cover at least seven system elements: (i) a relatively well-defined playing field, (ii) a group of interacting actors, (iii) specified resources and products, (iv) conversion schemes for resources up to ‘consumed’ bio-based products, (v) rules and constraints like regulations, subsidies and external changing conditions, and (vi) a notion of win-lose. The element ‘duration’ is implicitly present via the starting date of the case. This may be extended for all cases to 2050, which is the time horizon for the Green Deal.
<table><caption>**Table 1** The observations for seven elements of a system or a game (horizontal) presented for nine different cases (vertical)</caption><thead><tr><th>Element<br>Bioeconomy Case<br>& motivation</th><th>Playing field<br>& Time/indicated<br>starting date</th><th>Interacting actors /<br>players</th><th>Resources and / or<br>products / pieces</th><th>Conversion steps /<br>moves</th><th>Rules / constraints</th><th>Win / lose</th></tr></thead><tbody><tr><td>Local manure and<br>agro-waste initiative<br>Entrepreneurial<br>initiative to initially<br>transform waste in<br>bioenergy, partly<br>supported by subsidies<br>(NOAW, 2020)</td><td>A community in<br>Germany,<br>since 2000</td><td>Farmer and owner of<br>a biogas plant, local<br>farmers, technology<br>supplier, own<br>logistics, Town Hall,<br>citizens</td><td>By-products and agro-<br>waste: pig, cattle<br>and horse manure,<br>vegetables, and<br>energy crops</td><td>Recycling, bioenergy<br>conversion, bio-<br>fertilizer manufacturing</td><td>Odor limits, public<br>subsidies, the time<br>limitation for feed-in<br>tariffs</td><td>Valorization of over<br>10,000 tons of organic<br>waste/year<br>New products and<br>markets for local<br>producers; some new<br>jobs created. Public-<br>private cooperation<br>model</td></tr><tr><td>New cooperative<br>'from cost to value<br>for wine by-products'<br>Joint cooperative initiative to transform<br>waste into bio-based<br>products, partly supported by subsidies<br>(NOAW, 2020)</td><td>A region in France<br>since 1970</td><td>Union of wine<br>cooperatives special-<br>ized in food and<br>non-food oriented<br>products based on<br>wine by-products</td><td>By-products from<br>wineries and wine<br>processing, nutra-<br>ceuticals (grape<br>seed extracts),<br>sugars, natural<br>colorings, animal<br>nutrition, alcohol &<br>spirits</td><td>Recycling, manufac-<br>turing of feed, food,<br>and cosmetics, dis-<br>tilling and extract-<br>ing constituents,<br>optimizing logistics</td><td>Changing regulations<br>for the treatment of<br>wine waste and by-<br>products</td><td>Valorization of over<br>hundreds of thou-<br>sands of tons of grape<br>marc, of HIs of lees<br>and wine must per<br>year; all collected<br>by-products are<br>valorized, no ultimate<br>waste (except process<br>wastewater)<br>Social: over 100 jobs<br>Economic: Almost no<br>cost for wine-makers</td></tr></tbody></table>
<table><caption>Table 1 (continued)</caption><thead><tr><th>Element<br>Bioeconomy Case<br>& motivation</th><th>Playing field<br>& Time/indicated<br>starting date</th><th>Interacting actors /<br>players</th><th>Resources and / or<br>products / pieces</th><th>Conversion steps /<br>moves</th><th>Rules / constraints</th><th>Win / lose</th></tr></thead><tbody><tr><td>Local cluster for by-<br>product valorization<br>from cereals<br>Actors strongly<br>attached to a region,<br>utilizing resources<br>sustainably (founda-<br>tion initiative)<br>(NOAW, 2020)</td><td>A region in France,<br>since 2015</td><td>Association as a facili-<br>tator to create cross-<br>sector cooperation<br>between cereal<br>farmers/huskers and<br>the eco-construction<br>sector</td><td>Processed cereal<br>by-products such as<br>husks into insula-<br>tion products (in<br>bulk: for floors and<br>ceilings) and into<br>panels for decora-<br>tion purposes</td><td>Enabling cooperation,<br>information, and<br>training of people in<br>using by-products<br>from hulled grain<br>with added value</td><td>Fundraising necessary<br>(the chain is not yet<br>mature enough for<br>receiving public<br>support)</td><td>Environmental:<br>building with eco-<br>materials, by-products<br>valorization<br>Social: create new<br>jobs in a specialized<br>construction sector<br>A shared passion for<br>by-product valoriza-<br>tion</td></tr><tr><td>Food & Energy<br>Circular economy<br>concept<br>A network of actors<br>motivated to create<br>an agro-industrial<br>ecology concept for<br>sustainably exploit-<br>ing resources<br>(NOAW, 2020)</td><td>A community in<br>Germany,<br>since 2015</td><td>County (biogas plant),<br>Consulting and<br>service provider,<br>University (mac-<br>roalgae project),<br>Partner specialized<br>in humus, local<br>farmers</td><td>Diverse by-products,<br>products such as<br>biogas, electric-<br>ity, heat, nutrients,<br>humus, dried herbs,<br>barbecue briquettes<br>based on coconut<br>shells</td><td>Recycling and bio-<br>energy conversion,<br>developing, and<br>testing modular<br>"add-ons" for<br>biogas plants</td><td>The strong impact of<br>"tank-vs.-plate-dis-<br>cussion" resulted in<br>substituting energy<br>crops with horse<br>manure. Question of<br>leadership</td><td>Valorization of energy<br>crops, horse manure,<br>and residues from<br>food production;<br>re-use of nutrients as<br>fertilizer. The waste<br>heat from the biogas<br>production is used for<br>drying and cooling<br>herbs<br>Circular economy con-<br>cept and joint efforts</td></tr></tbody></table>

<figure><img src="image_11.png" /></figure>
<table><caption>Table 1 (continued)</caption><thead><tr><th>Element<br>Bioeconomy Case<br>& motivation</th><th>Playing field<br>& Time/indicated<br>starting date</th><th>Interacting actors /<br>players</th><th>Resources and / or<br>products / pieces</th><th>Conversion steps /<br>moves</th><th>Rules / constraints</th><th>Win / lose</th></tr></thead><tbody><tr><td>Agropark-industrial-<br>logistic concept<br>Valorizing an unex-<br>ploited territory as<br>agro-park<br>(NOAW, 2020)</td><td>A region in The<br>Netherlands<br>Since 2000</td><td>Agro-business park<br>as new territorial<br>industrial ecology<br>cluster, vegetable<br>producers (green-<br>houses), traders and<br>data-centers, logistic<br>suppliers</td><td>Combined heat,<br>electricity, and<br>water recirculation<br>systems</td><td>Closing energy and<br>material circles:<br>Data-centers using<br>electricity from<br>greenhouses and<br>produce heat for<br>greenhouses</td><td>Favorable political<br>context: strong pro-<br>motion of circular<br>economy in The<br>Netherlands</td><td>Closed water and<br>energy circles and<br>use waste as much as<br>possible. Some of the<br>greenhouse compa-<br>nies are also involved<br>in projects to create<br>tomato packaging<br>from tomato leaves<br>Membership model<br>showing adherence</td></tr><tr><td>Low energy high-<br>quality processing<br>and cooking experi-<br>ence (NovelQ);<br>EU project context<br>providing ideas<br>(de Vries & Matser,<br>2011)</td><td>A foodservice context<br>in Europe,<br>Since 2010</td><td>Technology supplier,<br>cooks, consumers,<br>R&D institute (also<br>involved in Restau-<br>rant of the Future<br>alliance)</td><td>A large variety of<br>food products (fish,<br>meat, vegetables,<br>etc.) in initially<br>fresh or frozen<br>conditions</td><td>Processing, handling,<br>and cooking<br>activities in home<br>situations, canteens,<br>and restaurants<br>(defrosting, heating,<br>consumption)</td><td>Low energy input<br>systems, practical<br>implementation,<br>healthy and conveni-<br>ent diets, provision<br>of awards, subven-<br>tions</td><td>Factor 2–10 reduced<br>cooking time (down<br>to minutes) and<br>energy reduction over<br>50%, while products<br>remain fresh after<br>cooking. Entrepre-<br>neurial spirit and<br>inter-SME coopera-<br>tion</td></tr></tbody></table>
<figure><img src="image_12.png" /></figure>

<table><caption>Table 1 (continued)</caption><thead><tr><th>Element<br>Bioeconomy Case<br>& motivation</th><th>Playing field<br>& Time/indicated<br>starting date</th><th>Interacting actors /<br>players</th><th>Resources and / or<br>products / pieces</th><th>Conversion steps /<br>moves</th><th>Rules / constraints</th><th>Win / lose</th></tr></thead><tbody><tr><td>CEET consortium for<br>stand-alone, low-<br>energy-autonomous<br>storage and transport<br>container;<br>An initiative to link<br>ecology, economy,<br>and technology;<br>partly subsidized.<br>The project is later<br>renamed<br>(CEET, 2013)</td><td>Global food chains<br>and local production<br>and storage com-<br>plexes; potentially<br>also<br>in developing coun-<br>tries for in-field<br>storage,<br>since 2000</td><td>Climate conditioning<br>firm, solar energy<br>supplier, logistic<br>provider, auctions,<br>energy expert center,<br>R&D institute</td><td>Perishable products<br>including flowers,<br>flower bulbs, fruit,<br>vegetables, potatoes,<br>convenience ready-<br>to-eat-meals, etc</td><td>Packaging and<br>storage in stand-<br>alone autonomous<br>containers, handling<br>and distributing<br>fresh products at a<br>low energy input</td><td>Substantial reduc-<br>tion of waste via<br>closed chains and<br>stand-alone systems,<br>subventions, legal<br>responsibility. No<br>insecticides</td><td>Energy reduced over<br>50%, a breakthrough<br>innovation in intelli-<br>gent dynamic storage<br>No insecticides due to<br>appropriate climate<br>control (and green<br>chemicals applied<br>exceptionally)<br>New business alliance</td></tr><tr><td>Flexiprocess<br>A sustainable field<br>to fork concept<br>for mixed protein<br>products;<br>partly supported by<br>subsidies<br>(Monnet et al. 2019)</td><td>Agro-ecological<br>production fields for<br>wheat and legumes<br>with manufactur-<br>ing & consumption<br>sites;<br>since 2015</td><td>Farmers (wheat and<br>legumes), technol-<br>ogy suppliers, pasta<br>makers, baker's,<br>consumers, health<br>experts, R&D<br>institute</td><td>Cereals, legumes,<br>pastas, pizza, bread,<br>pastry</td><td>Producing via novel<br>rotation / agroeco-<br>logical principles,<br>flexible fractionat-<br>ing and manufac-<br>turing concepts,<br>consuming and<br>digesting novel food<br>products</td><td>Initiative zero pesti-<br>cides and reduced<br>fertilizers, consumer<br>appreciation, healthy<br>nutrition guidelines</td><td>Reduction of fertilizers,<br>healthy soils, new<br>healthy and sustain-<br>able diets (divers<br>plant-based protein<br>profiles), biodiversity<br>in resources</td></tr></tbody></table>
<table><caption>**Table 1** (continued)</caption><thead><tr><th>Element<br>Bioeconomy Case<br>& motivation</th><th>Playing field<br>& Time/indicated<br>starting date</th><th>Interacting actors /<br>players</th><th>Resources and / or<br>products / pieces</th><th>Conversion steps /<br>moves</th><th>Rules / constraints</th><th>Win / lose</th></tr></thead><tbody><tr><td>Alternative plantpro-<br>teins<br>A European-driven<br>actor program to<br>motivate enter-<br>prise for bio-based<br>action: partly sup-<br>ported by subsidies<br>(BBI 2020)</td><td>Agricultural produc-<br>tion fields and<br>manufacturing<br>environment with<br>high by-product<br>streams,<br>since 2015</td><td>Farmers, manufac-<br>turers, technology<br>upgrading company,<br>new ingredients<br>firm, R&amp;P Institute</td><td>By-products that are<br>rich in proteins like<br>leaves, side-streams<br>from cereals, veg-<br>etables, etc</td><td>Extracting, separat-<br>ing, and stabilizing<br>proteins for new in-<br>field usage and new<br>product applications</td><td>Zero loss in fields &amp;<br>industry; efficient<br>usage of planetary<br>resources; healthy<br>plant-based protein<br>diets</td><td>10% unused by-<br>products potentially<br>valorized;<br>local employment;<br>healthy &amp; sustain-<br>able alternatives<br>for (partly) animal-<br>protein foods</td></tr></tbody></table>

The bold values are used for the NAME of each case, that is later on systematically used in the main text
In our experience, the number of case studies covering all elements is rather limited in the bioeconomy literature; most cases are focused on one or only a few system elements. The here selected case studies have not been set up with system or game theories in mind before. They are only selected as they contain sufficient information to exemplify the conceptual framework and to get a notion of its applicability. Future case studies preferably address a larger scope, higher level of complexity, strategic behavior of players, and a territorial setting that encompasses a certain geographical scale, a wide range of actors, pieces, moves, rules, and (intermediate) win/lose outcomes. However, for a first test of the usability of the *cylinder-helix-CAS-OTCM-conceptual framework—in short, conceptual cylinder framework—the case studies already have their purpose (see Table 1).

# The Conceptual Cylinder Framework Exemplified by Case Studies

## Nine Cases Characterized for Seven Elements of Systems (or Games)

Nine case studies originating either from European, Mediterranean, or national projects have been selected in which the authors have been involved either as an initiator, a (sub-)project coordinator, an advisor, or a researcher. To further test the framework, other described cases may be explored (BBI, 2020; Stadler & Chauvet, 2018). For each case, the presented first observations for the seven system elements have been extracted from project proposals, reports, deliverables, website communications, scientific publications, field visits, and/or discussion meetings with project partners. It should be noted that the observations are here not serving for in-depth analysis and presentation of each case. The latter has been the purpose of (scientific) publications within a European Horizon 2020 project for the first 5 cases, of the final publishable report of a European Six Framework Program project for the 6th case, of the website information of the 7th and 9th cases, and the scientific publication for the 8th case. Our analysis is restricted to (i) verifying if specific data can be presented for each system element, (ii) which information is available about players and their interactions (Fig. 3), (iii) how products are utilized, and (iv) how cases evolve in time (exploiting Fig. 1).

The majority of cases are oriented towards new valorization pathways for agricultural by-products and waste via new business models, innovative technologies, and facilitating public measures. Consequently, the cases address the challenge of the sustainable usage of pieces (resources, products, and services; see Fig. 1) by a group of actors interacting in a concerted way (see Fig. 3). Also, the groups of actors contribute to a revalorization of territorial bioeconomy assets, often in a circular economy context, even though the latter can be questioned from a sustainability point of view (see the remarks about the NK model for bioeconomy above). Others are responding to public measures ('rules') by reducing external inputs in agriculture, processing, or in storage and transport ('win'). Some are reacting to unhealthy diets (a 'loose'). The observations are summarized in Table 1.

<figure><img src="image_13.png" /></figure>
## Interactions Between Players Following the CAS Scheme in Fig. 3

For each case, interactions between actors have been analyzed regarding their positioning in the order-sustainability-chaos scheme of Fig. 3. Overall, the rules and constraints are recognized as clear and transparent; also, the potential scenarios are well-defined as either ‘win’ (‘1’) or ‘lose’ (‘2 & 3’) outcomes of evolving systems responding to specific rules. The ‘Agropark’, ‘Wine’, ‘CEET’, and ‘Manure’ cases are rather mature, self-organized, dynamic, and autonomously evolving in the melting zone. Agropark and CEET are propagating in the melting or sustainability zone already for quite some years showing a dynamic but stable business behavior. ‘Wine and Manure’ are still not fully stabilized for various reasons like lack of agro resources, larger sourcing areas, and strong competition with manufacturers of conventional products. Hence, Wine and Manure can be positioned at the edge of the order and melting zones.

The NovelQ and PlantProtein examples are near-mature with a strong business potential, competitive advantages due to unique and partly protected technologies and wide application areas. However, they continue to work on a sound and stable technology and business model.

The Food&Energy and Cereals cases are promising examples for the future, however, actually in immature phases. The geographical playing fields are well-defined. The business and technology models are currently in development. There is a need for new actors and interactions, to cross the frontier of the rigid and melting zones.

Flexiprocess is fully dependent on the support of external parties and yet immature as a business. However, as a more food-chain technology-oriented concept it already has an added value as research has shown. Their positioning is still in the rigid zone.

## Balanced Utilization of Products via the OTCM Coupled to the Conceptual Cylinder Framework

If one considers the simplified OTCM for products, the cases are in general showing a balanced utilization of resources and products within the green melting zone of the conceptual cylinder framework. This is in particular due to circular flows of biomass, efficient input of energy and water (key examples are Agropark and Food&Energy), prioritizing valorization of by-products above loss and accumulation of waste (Manure, Wine, Cereals, Plantprotein), and lowering energy input in conversion and handling steps (NovelQ, CEET). This is further supported by the change towards resources that are demanding fewer inputs, the provision of more sustainable diets (Flexiprocess), the exploration of territorial production capacities without striving for the usage of external inputs while respecting seasonal fluctuations (Wine, Cereals). It should be noted that all cases intend to optimize the production and utilization of resources and products in a well-balanced way.
## Combined Results for the Conceptual Cylinder Framework and Capacity to Respond to Changes

The results show that modifications in one element, like technological (moves) or organizational (player) innovations, or the introduction of new rules are always leading to modifications in the other elements. This is needed to reach a favorable outcome. For example, for the new valorization steps of by-products, also new business models are emerging (e.g. Food&Energy). For a new territorial organizational innovation (e.g. Agropark and Flexiprocess), new connections for flows of biomass are established between actors. Another rule-incentive (e.g. changing subventions in the case of Manure) generates a new business model and production of alternative added-value products. This means that elements are interconnected, however, not yet per se sustainably. This should be tackled in forthcoming research and innovation projects focusing on a more in-depth understanding of all interconnected elements, appropriate indicator sets, and variable constraints settings like in Game Theory.

It should be noted that the selected cases do not allow analyzing inter-dependencies between playing fields, hence looking to the integration of helices into a helicoid structure for an overall, planetary, bioeconomy system (see discussion for Fig. 2a). This remains to be done in the next studies.

## Discussion

This section deals with (i) the need for a new conceptual framework for Sustainable Bioeconomy Systems (SBS), (ii) a detailed discussion of the cylinder framework, its applicability and understanding of sustainability in a dynamic system, and (iii) the potential of the framework to study interacting (local) systems.

(i) While the first and second bioeconomy strategies and agendas of the European Commission have been product- and biotechnology oriented (Bugge et al. 2016), the third is more an ecological and circular bioeconomy strategy. These strategies do not guarantee that the global and local bioeconomy systems are sustainable from an environmental, social, and economic point of view. Neither is the understanding of the positive or conflicting intentions from public and private stakeholders to strive for sustainable solutions based on a well-founded theory. This makes all debates about the normative dimensions of the bioeconomy systems so complicated and challenging. Here, we have attempted to provide a unifying conceptual framework as the theoretical basis for these debates. This framework underlines the challenge and importance of a coherent and integrative approach based on concomitantly addressing the seven system or game theory elements in a cylinder configuration, the interactions (K) between diverse agents (N) according to CAS-theory, and balanced production and utilization of products and resources following the OTCM. As compared to previous 2-D configurations like the radar and doughnut, the here introduced cylinder configuration allows visualizing and understanding pathways of SBS avoiding entering in chaos or rigidity zones. The cylin-

<figure><img src="image_14.png" /></figure>
der configuration also permits to link the seven key elements of systems (or
games), namely playing fields, players, pieces, moves, rules, outcomes, and
duration.

(ii) A deeper insight into the 3 zones (order, chaos, and melting or sustainability or safe and fair operating space) is obtained via complex adaptive system theories. These theories are partly founded on thermodynamic laws, in particular on the graph describing the diversity of agents versus their interactions leading either to order, chaos, or self-organized behavior. Intuitively it is known that if many diverse actors are all interacting with each other, the outcome is chaotic (like for all people speaking at meetings at the same moment). Also, if there are no interactions or nearly no actors, the outcome is highly static or rigid (like for nobody saying a word at a party). Somewhere in between the discussions make sense and are dynamic. As explored by Kauffman (1995), these interactions can be mimicked by Boolean networks with N different agents and K number of interactions. In a network of ‘N’ stakeholders with a reasonable amount of interactions ‘K’, bioeconomy systems are becoming self-organized, dynamic with overall sinusoidal behavior (Fig. 3; core). Endless growth of economies due to increasing N-K values will undoubtedly lead to chaos (Fig. 3; top right). Consequently, these economies will be ethically hard to defend if not additional considerations like pressure valves (Zwier et al., 2015) are introduced to equilibrate systems. Passive approaches and inactivity will lead to rigidity and highly static food systems (see Fig. 3; bottom left).

The unifying conceptual framework is not complete if the notion of the
planet as an open thermodynamic system is not taken into account. This
implies that there is a driving force (solar energy), several conversion steps,
and a re-balancing output (stored biomass or emitted particles or infrared
radiation). In a very simplified way, this is described as OTCM. The conse-
quence is that an ideal circular concept doesn't make sense; dynamic systems
follow helical pathways.

As shown above, the cylinder framework seems to be useful for analyzing
diverse bioeconomy cases. Most importantly, it reveals that elements are inter-
connected. If ‘interacting actors’ and ‘product utilization’ both show sinusoi-
dal patterns and are interfering, in well-defined playing fields, with transparent
rules, and appropriate moves (conversion steps), then the overall outcomes
are ‘wins’. The patterns reveal helical pathways in the zone between order
and chaos, i.e. following scenario 3 in Fig. 1. If one of the behavior patterns
shows steady growth (or decline) patterns, then the overall outcome is ‘lose’,
the system ends up in chaos (scenario 1) or rigidity (scenario 2). Systems are
sustainable if they follow scenario 3, and unsustainable for scenarios 1 and 2.

The systems following scenario 3 have a certain capacity to respond to
external changes like increasing levels of agro- and food waste in chains, loss
of nutritional quality, new incentives, and excessive energy inputs as shown
by our cases. For example, changing subsidies in the Manure or banning of
insecticides in the CEET cases have led to new organizational and technologi-
cal innovations and sound business cases. However, it finally depends on the
resilience and adaptation capacity of bioeconomy systems, their capacity to
find new equilibria whether or not this also holds for climate change, drought, viruses like COVID-19, biodiversity loss, financial crisis, new laws, etc.

The unifying conceptual framework may help in better understanding how sustainability pathways could be reached, which are leverage points and (remaining) constraints. As an illustration and based on the insights obtained in our cases and framework, some very first and preliminary suggestions are provided here:

* The connection of bioeconomy systems with agroecology (Caquet et al., 2020) may be the only way to make the agroecology transition sustainable. If the sustainable evolution of new food and bio-based products, sustainable behavior of all interacting actors, and adopted rules in the full system are not taken into account, the agroecology transition may enter either the order or chaos zones (Fig. 1).

* Valorizing entire plant resources and waste streams via cascading schemes may be beneficial from a resources efficiency point of view, however, may unintentionally lead to chaos (see Fig. 3); the number of interactions between (new) actors in the cascading systems should be taking into account and being ‘manageable’; also policy measures are to be considered to guarantee self-organized dynamical solutions and sustainable outcomes.

* The choice of playing field dimensions – like for urban metabolisms (Bezama et al., 2019) – should very critically be re-considered because sustainable outcomes may never be reached in these playing fields; hence, interactions with other playing fields (nearby territories like rural-coastal areas) and/or external players and resources should then be taken into account. The ‘ensemble’ of playing fields, via fair and compensating exchange mechanisms for all system elements, should be sustainable. The considerations about uncompensated unsustainability measures in one playing field, and leaving the burdens to other playing fields, are ethically and scientifically unjustifiable.

* The circular bioeconomy in itself is highly rigid (Fig. 3), except if the number of actors in the circle is extremely high. The business model typology for local circular economy initiatives (Donner et al., 2020) shows in majority network-models revealing 6 different cooperation types between robust but flexible actors striving for integrated usage of resources locally. To avoid rigidity, insights in resilience and adaptation capacity are crucial, especially when subsidies are altered for resource usage or new European competition rules are introduced for interacting SMEs (Gerbrandy & de Vries, 2011).

(iii) Our 9 selected cases do not yet show the interactions and trade-offs between different local bioeconomy systems. This is very important in the case of e.g. sustainable urban bioeconomy systems (see above) or for food sovereignty as currently debated. For example, if one country or region strives for autonomous supplies to feed its population, what are the consequences for other countries? Which mutual support options should be put in place to keep systems overall viable and ethically justified (like emergency aids, migration, and additional support externally)? And should each local system be sustainable as our framework strongly suggests? What does this imply for the normative
dimensions of both the overall system and local systems? One can draw a parallel with an orchestra of individual musicians: the overall outcome could only be harmonic (like the helicoid structure in Fig. 2a) in case all individual contributions are harmonic.

## Conclusions

The here presented unifying conceptual cylinder framework allows analyzing and discussing diverse SBS. This is in a very preliminary way done via the 9 cases, and provides the following conclusions:

* Without a coherent conceptual frame, including the time axis, coherent sets of both lower and upper limits for social, environmental, and economic indicators, and a linkage between the 7 key system or game theory elements, one cannot distinguish if systems are sustainable or not. *Continuous growth (or decline) strategies – and related discourses – are automatically leading to chaos or rigidity* and are ethically and scientifically not justified. Feedbacks and interventions in the 7 elements are necessary to keep balancing outcomes in between order and chaos. This implies that *interventions always include counter-balancing actions* to keep the system within boundaries (Fig. 1), expressed by Latour as ‘Down to Earth’ (2017).

* Disrupting or innovating one element (e.g. technology, business, regulation, or social) impacts the other six elements. If this destabilizes systems and results in unsustainable outcomes, then *integral measures for all elements are required* (like today discussed for climate change, biodiversity loss, COVID-19, etc.). If not, individual and mono-disciplinary, single domain or sector-oriented interventions make sense for local optimizations in the system.

* Here, the conceptual cylinder framework reveals that (i) player behavior and usage of biomass sustainably are interconnected and should jointly follow helical pathways to be sustainable (see Fig. 1), (ii) the helicoid, as the sum of individual helices representing co-evolving local systems, is the lowest energy (thus preferable) state for SBS at our planet (like DNA or protein triple helices in nature) (cf. Figure 2), (iii) the top view of the cylinder reveals a circle which currently serves as the basis for circular economy thinking, however without the time dimension and thus without the possibility to analyze sustainable evolutions, (iv) helical structures are highly stable but dynamic structures in nature, hence they are perfectly well suitable for being resilient and adaptive to external shocks.

Overall, the *unifying conceptual cylinder framework (theory) now permits us to define Sustainable Bioeconomy Systems as Complex Adaptive Systems dealing with food and other bio-based products, showing helix-like moves in the sustainability zone*. This is due to the coherence between Complex Adaptive System, NK models, open thermodynamic models, helical moves in cylinders between order and chaos, and the exploitation of system or game theory elements; a synthesis is presented in Fig. 4. This integrally includes playing fields, dynamically interacting (existing and
<figure><img src="image_15.png" /><figcaption>**Fig. 4** Synthesis of the major building blocks of the Conceptual Cylinder Framework for Sustainable Bioeconomy systems. Source: Modified image of https://www.radartutorial.eu/06.antennas/pic/zirkuluman.gif is included</figcaption></figure>

new) actors, (novel) bio-resources and products, all eco-friendly conversion steps, critical conditions and rules, duration and timings, and win-lose scenarios which are crucial for finding sustainable solutions and steering (policy) measures.

The notion of territories as evolving playing fields requires further reflection because their characteristics are modified by the dynamics of the (replicating) agents themselves. The traditional way of considering fixed country or regional borders as political choices may be inadequate for considering territories from a sustainability point of view. Those should encompass e.g. geographical, atmospheric, political, or sectorial dimensions to provide freedom to sustainably operate within limits. Hence, an intelligent re-design of playing fields, adapted case studies, and the analysis of external conditions – arriving from other ‘playing fields’ – are imperative for concluding about all possible interactions in the systems and ethically justified sustainable outcomes (wins).

Finally, one could suppose that the normative dimensions of the bioeconomy have cylinder symmetry. Such a cylinder symmetry enables bioeconomy systems – constituted of different interacting players utilizing bio-based products in well-defined playing fields – to endlessly evolve in a balanced or sustainable manner in the melting zone between order and chaos (scenario 1 in Fig. 1), hence, respecting boundaries. In other words, the cylinder framework also provides a direction to ethical, philosophical, and esthetical debates in the bioeconomy.
**Acknowledgements** Colleagues of the Case Studies, the European SCAR working group on food systems (WG-FS) and the SAM-SAPEA WG-FS, the Foresight reflection group on Bioeconomy of INRAE, and members of the French Academies of Agriculture and Technologies, are acknowledged for discussions on system approaches.

**Data Availability** All references are given.

**Declarations**

**Conflict of interest** The authors declare that they have no competing interests

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## Authors and Affiliations

Hugo de Vries¹ · Mechthild Donner² · Monique Axelos³

¹ INRAE—French National Research Institute for Agriculture, Food and Environment, UMR IATE (University Montpellier, INRAE, Institut Agro), 2 Place Pierre Viala, 34060 Montpellier, France

² INRAE—French National Research Institute for Agriculture, Food and Environment, UMR MOISA (University Montpellier, INRAE, Cirad, Ciheam-Iamm, Institut Agro, IRD), 2 Place Pierre Viala, 34060 Montpellier, France

³ INRAE—French National Research Institute for Agriculture, Food and Environment, 147 Rue de l'Université, Paris, France