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Commerce · VII.01 · MMXXVI · daylight
ASSESSMENT · Chapter VII.01 — Planetary Boundaries as a Balance Sheet
Three instruments: a ten-point quiz, eight reflection questions, five essay prompts. The quiz checks comprehension rather than recall. The reflections are private and first-person. The essays are arguable from more than one side.
THE QUIZ — ten points
Four on recall.
1. Name the three boundaries this chapter grades A, and state the three tests that produce that grade.
Climate change, stratospheric ozone, ocean acidification. The tests: is the system well-mixed, so one number describes the whole; is the control variable directly measured rather than modelled; is the threshold demonstrated rather than inferred. One mark for the three boundaries, one for any two of the three tests.
2. Give the control variable, boundary and most recent reading for stratospheric ozone, and say why it is the framework's completed case.
The ozone column in Dobson units. Boundary 275.5 DU — a 5 percent reduction from the pre-industrial 290 DU — with the zone edge at 261.0 DU. The reading is 284.6 DU, which is 9.1 DU of headroom, 3.3 percent. It is the completed case because a boundary was transgressed, an instrument was built, compliance was verified, and the variable returned inside the line.
3. State the three accounting kinds in the chapter's taxonomy and the loss function of each.
Covenant — a step loss function: inside or breached. Stock — proportional: depletion accumulates and is impaired against specific assets. Flow — local and threshold-shaped, so the damage depends on where the flow lands and not on the global total.
4. How many of the nine boundaries have had their boundary value or control variable revised since 2009, and which have not?
Six of nine — 66.7 percent. The three never revised are climate, ozone and ocean acidification, which are exactly the Grade A set.
Four on application.
5. A colleague presents the nine-wedge diagram and says: "Six of nine are broken; nitrogen is the worst at more than three times its limit." What are the two things they have not said?
First, that the six span four evidence grades — one Grade A, three Grade C or D — so the headline count consolidates a measured covenant with an expert judgement. Second, that nitrogen's global total is invariant to its distribution, and the distribution is the entire damage function. Full marks require both. A strong answer adds that the objection is not that the alarm is wrong but that the statement is unsignable as drawn.
6. Your operations sit in a catchment with an allocated nitrogen cap. Head office asks for your contribution to the global nitrogen boundary. What do you report, and why?
Report throughput against the catchment's own allowable input, which is the only number connected to any decision available to you. A share of a global total is not an instrument: it cannot tell you whether your loading is causing local harm, and it cannot be traded, capped or verified anywhere. Credit HELCOM's Baltic basin allocations or the Lake Taupō catchment cap as precedent.
7. A boundary is published with a boundary value of 90 percent and a zone edge of 30 percent. What does that band tell you, and what treatment follows?
The band is 66.7 percent of the boundary value — an order of magnitude wider, relative to its own line, than the Grade A bands, which average 24.1 percent. That fails a measurement-reliability test, so the treatment is IAS 37 disclosure rather than recognition: it goes on a watch list, with its grade and its band printed beside it, and it is not added to any total.
8. Why does the chapter say a 25 basis point margin ratchet is not a price on a threshold?
Because it is 0.25 percent of the consequence it claims to price. On a drawn facility of $400,000,000 the ratchet is worth $1,000,000 a year against a breach that makes $400,000,000 repayable — out by a factor of 400 times. A step-shaped risk needs a step-shaped consequence, which is a covenant, not a margin adjustment.
Two that require the arithmetic to be done.
9. Global nitrogen fixation is 190 Mt N/yr and world cropland is about 1,600 Mha. Compute the even application rate. Then compute the rate if the same total were applied to only a fifth of that cropland, and state what the comparison proves. Show your working.
190 Mt = 190,000,000 t = 190,000,000,000 kg. Divided by 1,600 Mha = 1,600,000,000 ha gives 118.75 kg N/ha/yr. Applied to a fifth — 320 Mha — gives 593.75 kg N/ha/yr, a ratio of 5.0 times. The mark is for the conclusion, not the division: both worlds report the same 190, so the global total carries no information about whether any local threshold is crossed. It is a sum, not a boundary.
10. A position of $500,000,000 overshoots by 5 percent. Compute the consequence under a covenant and under a stock, and state the ratio. Then say what the ratio is an argument for.
Covenant: a breach is a step, so the whole $500,000,000 becomes repayable on demand. Stock: the impairment is proportional, so 5 percent of $500,000,000 = $25,000,000. The ratio is 20.0 times. It is an argument for putting the evidence grade on the face of the statement: the same overshoot is twenty times apart depending on a classification that the nine-wedge diagram does not record.
REFLECTION — eight questions, for one person and a pen
These are not for a room. Write the answers by hand if you can; the slowness is the point.
- Think of a number you have quoted confidently in the last year without knowing how it was computed. What made it feel solid — and what would it take for you to check it?
- Where in your own life are you managing a covenant as though it were a stock — treating a hard line as though a little over were only a little worse?
- Which of the things you care about most would survive being graded honestly, and which would turn out to rest on an expert judgement you have been treating as a measurement? Answer without deciding in advance that this is bad news.
- Recall a time when a cause you supported was argued on its weakest evidence and lost. What would have happened if the weakest line had been labelled by the person presenting it?
- What is the largest frame you personally think inside, and where did you get it? Trace it back to a document, a person or a picture if you can.
- Where do you already report by place rather than by total — in your work, your money, your attention — and what does that let you see?
- The Montreal Protocol worked. Write, in your own words, what you believe made it possible, and then ask honestly whether you have ever looked that up or only inherited the story.
- What would you want to be true about the world in a hundred years that no current instrument measures? Write the control variable you would need.
ESSAY PROMPTS — five
Each is arguable from more than one side. Each requires at least one source the chapter cites and at least one it does not.
1. Is a boundary a decision rule? Nordhaus's tradition holds that a physical limit with no damage function and no discount rate cannot guide allocation; Sterner and Persson argue that rising relative prices for scarce environmental goods do much of the same work continuously. Take a position on whether the Grade A boundaries should be treated as constraints or internalised as prices. Engage Nordhaus (1991 or 2013) and Sterner and Persson (2008) directly, and one source on carbon pricing or safety standards that the chapter does not cite.
2. The biodiversity boundary. Montoya, Donohue and Pimm call it implausible science and pernicious policy; Rockström, Richardson, Steffen and Mace reply that a provisional boundary is better than none because absence of a number is read as absence of a limit. Argue one side, then write the strongest version of the other. Use both papers, plus Mace et al. (2014) or one post-2018 source the chapter does not cite.
3. Aggregation and its defenders. This chapter treats aggregation as the framework's central weakness. Argue the counter-case: that a single consolidated figure is what made the framework politically effective, that every accounting standard aggregates, and that a four-part statement nobody reads is worse than one circle everybody does. Use Blomqvist et al. (2013) or Brook et al. (2013), and one source on indicator design, composite indices or science communication that the chapter does not cite.
4. Downscaling as an ethical act. Häyhä and colleagues separate the biophysical step from the social and ethical one in allocating a global boundary to nations. Argue either that the ethical step can be made on defensible principles that a reasonable person in any country would accept, or that it cannot and therefore global boundaries should never be downscaled at all. Use Häyhä et al. (2016) and Ostrom on institutional design, plus one source on climate equity or burden-sharing the chapter does not cite.
5. What a balance sheet cannot hold. The chapter's whole move is to treat the planet as a set of financial statements. Argue the strongest case that this is a category error — that framing a biosphere as an asset register imports a logic of substitutability and liquidation that is precisely what the framework exists to resist. Then argue the reply. Use Dasgupta (2021) and Raworth (2017), and one source on commodification, valuation ethics or the limits of natural-capital accounting that the chapter does not cite.