1. “Contraction and Convergence” (C&C) is the science-based calculus for a global climate-policy framework, proposed to the United Nations since 1990 by the Global Commons Institute (GCI). [1,2,3,4]
2. The objective of safe and stable greenhouse gas concentrations in the atmosphere and the principles of precaution and equity, as already agreed in the “United Nations Framework Convention of Climate Change” (UNFCCC), provide the formal calculating basis of the C&C framework that proposes:
- A full-term contraction budget for global emissions consistent with stabilising atmospheric concentrations of greenhouse gases (GHGs) at a pre-agreed concentration maximum deemed to be safe, following IPCC WG1 carbon cycle modelling. GCI sees higher than 450 parts per million by volume [ppmv] CO2 equivalent as ‘not-safe’).
- The international sharing of this budget as ‘entitlements’ results from a negotiable rate of linear convergence to equal shares per person globally by an agreed date within the timeline of the full-term contraction/concentration agreement. (GCI suggests [a] between the years 2020 and 2050, or around a third of the way into a 100 year budget, for example, for convergence to complete (see Image Three on page two) and [b] that a population base-year in the C&C schedule is agreed).
Negotiations for this at the UNFCCC should occur principally between regions of the world, leaving negotiations between countries primarily within their respective regions, such as the European Union, the Africa Union, the US, etc.
The inter-regional, inter-national and intranational tradability of these entitlements in an appropriate currency such as International Energy Backed Currency Units [EBCUs - 5] should be encouraged. Scientific understanding of the relationship between an emissions-free economy and concentrations develops, so rates of C&C can evolve under periodic revision.
3. Presently, the global community continues to generate dangerous climate change faster than it organises to avoid it. The international diplomatic challenge is to reverse this. The purpose of C&C is to make this possible. It enables scenarios for safe climate to be calculated and shared by negotiation so that policies and measures can be internationally organised at rates that avoid dangerous global climate change.
4. GHG emissions have so far been closely correlated with economic performance (See Image Four Page Three). To date, this growth of economies and emissions has been mostly in the industrialised countries, creating recently a global pattern of increasingly uneconomic expansion and divergence [E&D], environmental imbalance and international insecurity.
5. The C&C answer to this is full-term and constitutional, rather than short-term and stochastic. It addresses inertial argument about ‘historic responsibilities’ for rising concentrations recognising this as a development opportunity cost to newly industrialising countries. C&C enables an international predistribution of these tradable and therefore valuable future entitlements to emit GHGs to result from a rate of convergence that is deliberately accelerated relative to the global rate of contraction agreed (see Image Three on page two).
6. The UK’s Royal Commission on Environmental Pollution  and the German Advisory Council on Global Change  both make their recommendations to governments in terms of formal C&C. Many individual and institutional statements supporting C&C are now on record. [8, 9] The Africa Group of Nations formally proposed it to the UNFCCC in 1997.  It was agreed in principle at COP-3 Kyoto 1997.  C&C conforms to the requirements of the Byrd Hagel Resolution of the US Senate of that year  and the Year to year percentage change of Gross World Product, GWP (measured in US$) and Global Carbon emissions South European Parliament passed a resolution in favour of C&C in 1998. 
7. This synthesis of C&C can redress the increasingly dangerous trend imbalances of global climate change. Built on global rights, resource conservation and sustainable systems, a stable C&C system is now needed to guide the economy to a safe and equitable future for all. It builds on the gains and promises of the UN Convention and establishes an approach that is compelling enough to galvanise urgent international support and action, with or without the Kyoto Protocol entering into force.
 http://www.gci.org.uk/papers/zew.pdf [appendix C, page 16]
 http://www.gci.org.uk/consolidation/UNFCC&C_A_Brief_History_to1998.pdf [pp 27 - 32]
The vernacular use of the phrase 'contraction and convergence' with a qualitative and non-specific meaning has come a little into use since the introduction of the formal C&C calculus in 1996. The formal use of phrase indicates the formal use of the calculus and relates to the formal position-taking of parties to the UNFCCC.
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