2.2. AlgorithmFor the world economy as a m-region, n-sector coupled network,there are totally ⋅mn entities in the table, as shown in Fig. 1.zijrs(∈rs m, {1, 2, … , },∈ijn, {1, 2, … , }) is the monetary value of goodsand services sold by Sector iin Region rfor intermediate production inSector jof Region s, andfirsis the monetary value of goods and servicesfrom Sector i, Region rto Region sfor final consumption. The graysegment in Fig. 1 represents the trades of Region 1 with other foreignregions for both intermediate production and final consumption. Theintermediate goods are defined as the goods that need further proces-sing, including raw materials, while the final goods do not need furtherprocessing. The energy resources originally exist in the environmentalsystem, and then are exploited and inputted into the economic system(Odum, 1996). Hence,eirrecords the amount of primary energy re-sources directly exploited by Sector iin Region rfrom the natural en-vironment as the exogenous supply to the economic system.Embodied energy intensity (ε) is an important indicator. For asector, it implies the average amount of direct plus indirect energyrequired in the supply chain to produce one unit of goods or servicebased on the current technology. In the systems IOA, the embodiedintensity is calculated based on the biophysical input-output balanceX.F. Wu, G.Q. Chen Energy Policy 111 (2017) 85–9486

that the total energy inputs equal the total energy outputs.∑∑ ∑∑ ∑+=+== == =eεzεzf() ()irsmjnjsjisr irsmjnijrssmirs11 11 1 (1)whereεirdenotes the embodied energy intensity of Sector iin Region r.With the sectoral embodied energy intensities obtained, the energyuse embodied in intermediate trade (import ofEEIpand export ofEEXp), final trade (import ofEEIcand export ofEEXc) and total trade asa combination of intermediate and final trade (import ofEEIand exportofEEX) can be calculated via multiplying its economic value by theembodied energy intensity of the corresponding sector.The energy use embodied in production (EEP) and consumption(EEC) are therefore presented as∑∑=+−===EEP EED EEI EEX ε f()rrprprinsmirirs11 (2)∑∑=+−===EEC EED EEI EEX ε f()rrr rsmjnjsjsr11 (3)where =∑=EED e()rinr1iis defined as the total energy exploited directlyin Region r.EED,EEPandEECrepresent three different accountingmethods for regional energy use. The responsibilities of energy use areascribed to energy exploitation, final production and final consumption,respectively, in the three methods. As the primary energy resources areused by the economic system once they are exploited,EEDenunciatesthe direct energy use or the direct energy requirements of the region.EEPdescribes the direct and indirect energy requirements to sustainthe final productive activities within the region, and thus attributes theenergy use to the producers who produce goods and services for finalconsumption. In contrast,EECdetermines the total amount of energyrequired to maintain the region’s final consumptive activities, becauseall energy use is assumed to occur with the ultimate goal to deliver thegoods or services for final consumption.2.3. Data sourcesIn the present study, the economic input-output table for the worldis adopted from the Eora Database Version 199.82, in which 26 sectorsfrom 188 regions are included. (Lenzen et al., 2012, 2013). Detailedinformation of the regions and sectors are listed in Appendix A and B,respectively. In an attempt to combine the most recent statistics, theyear of 2013 is chosen for the analysis. The statistics of direct energyinputs are collected from the International Energy Agency (IEA) WorldEnergy Statistics and Balances (IEA, 2016c) and BP Statistical Review ofWorld Energy (BP, 2016). Seven energy sources are included, namelycrude oil, coal, natural gas, biomass, hydroenergy, nuclear energy andother renewable energy

(PDF) Global primary energy use associated with production, consumption and international trade. Available from: https://www.researchgate.net/publication/320445428_Global_primary_energy_use_associated_with_production_consumption_and_international_trade#pf9 [accessed Jun 30 2018].

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Multiple Reward Beneficiaries For any given post there may be a number of different people who have a financial interest in the reward. This includes the author, possible co-authors, referrers, hosting providers, blogs that embedded blockchain comments, and tool developers. Whatever website or tool that is used to construct a post or comment will have the ability to set how rewards from that comment are divided among various parties. This allows for various forms of collaboration, as well as a way for platforms that are built on top of the Steem blockchain to collect a portion of the rewards from their users. Smart Media Tokens (SMT) This protocol layer is under development. Its whitepaper will be posted here.

http://letthemconfectsweeterlies.blogspot.com/2018/02/possibilist-perspective-on-post-growth.html

https://www.scribd.com/document/284513941/Ecological-Complexity#fullscreen&from_embed

The VPRO Circular economy documentary seems to chime with the PMM conclusions of your first model
If one just accepts that there is nothing to redeem the existing Finance System getting on with rebasing money to
Either Joules or KWH equivalents in the three categories of Primary Intermediary and Consumption

And noting the Hoarding aspects of energy in long-term capital assets and applying something akin to the single land tax on them, we really can get somewhere near to a sustainable Birth Right economy.

Where it gets very interesting is in the Information economy where shared knowledge doubles the knowledge it does not half it. Richard Stallman (GNU) often makes that very point.
To satisfy the need for Status in the Social Animal Humans Kind ( see Pigou Dalton Principle for a Theoretical framework for Taxation boundary conditions. ) Anyhow it is in the space of non monetised social interactions where the second sort of discretionary token can be created on a blockchain providing the necessary ornament and display trinkets which determine the mating game? I will not elaborate here but Forres / Lagom the community system I have been working on has the idea that it is Mineable or winnable or giftable, The Distributed computing platform Steemit has something called proof of Brain which is a species of the sort of on-line social success measure which can easily be monetised to provide a competitive element to the Production of both the Birth Right token and the Discretionary speculative mating game side of the sustainable circular economy.