Haute Lumière
Commerce · IV.11 · MMXXVI · daylight
One page each. A reader who reads only these ten pages has the chapter.
The idea. Every regenerative substitution belongs in exactly one of three boxes, and putting it in the wrong one is the most expensive error in this field.
Worked example. Aluminium is box one: primary electrolysis takes about 14 kWh/kg against 0.7 kWh/kg to remelt scrap — a factor of 20, a 95 per cent saving — which is why the loop closed without anybody mandating it. Deposit- return PET is box two: at a 31.8 per cent spread and plausible learning rates the crossover lands after about 2.84 doublings, roughly 7.1 times today's volume. Kerbside mixed plastic is box three, for the reason in Brief 4.
Why it matters. A box-three item financed with a box-two instrument buys three years of patience and then a reputation for having been wrong — which costs far more than the premium ever did.
You already know this because you have watched a project be funded on "it will come down" and quietly defunded in year three when it did not, and you knew in year one that nobody had written down the volume at which it would.
The idea. Organic systems yield less per hectare, the gap narrows under good management, and then it stops narrowing.
| Study | Sample | Gap |
|---|---|---|
| Seufert, Ramankutty & Foley (2012) | 316 comparisons | 25% |
| de Ponti, Rijk & van Ittersum (2012) | 362 comparisons | 20% |
| Ponisio et al. (2015) | 1,071 comparisons | 19.2% |
Mean of the three: 21.4 per cent, spread across 5.8 percentage points.
The land arithmetic. A 19.2 per cent gap means 1 / (1 − 0.192) = 1.2376 hectares per tonne — 23.8 per cent more land for the same food.
What closes and what does not. In the same study, multi-cropping brings the gap to 8.7 per cent and extended rotations to 9.0 per cent. That is 54.7 per cent of the gap removed and 45.3 per cent still standing under the best practice anybody has published.
Why it matters. The yield gap is a land premium before it is a price premium, and the land premium is the one nobody's willingness to pay can settle. A shopper can pay more. A shopper cannot pay hectares.
You already know this because you have seen a farm that produced less and was manifestly better run, and understood that both sentences were true.
The idea. Organic agriculture is, on the published evidence, more profitable than conventional — and that finding rests entirely on a price premium.
Crowder and Reganold (2015), across 55 crops in 14 countries over 40 years, found the break-even premium — the price uplift at which organic matches conventional profitability — at 5 to 7 per cent. Observed premiums averaged 29 to 32 per cent.
observed / break-even = 4.14x to 6.4x
How to read it. Not as reassurance. The gross-revenue-parity premium for the 19.2 per cent yield gap is 23.8 per cent, so the market premium is comfortably carrying the agronomy. But a premium of that size is a scarcity price, and scarcity prices fall as supply arrives.
The move it implies. If your business case rests on the premium rather than on the cost base, model the premium's decay explicitly and state the premium below which the enterprise stops working. Then watch it monthly.
Why it matters. Almost every organic business plan treats the premium as a constant and the yield gap as a problem. The arithmetic says the opposite: the gap is the stable term and the premium is the volatile one.
You already know this because you have watched an early-mover margin in any category compress the moment the second entrant arrived.
The idea. A premium closes when its cost terms fall with cumulative experience. A premium is permanent when its dominant cost term is driven by something else.
The test, in one question: what makes this cost fall? If the answer is "doing it more," it closes. If the answer is "people living closer together" or "wages not rising," it does not.
Worked example. Collection is a vehicle and a driver arriving at a door.
cost per stop £1.10
kerbside yield per stop 0.45 kg -> £2,444 / t
return-point yield per stop 2.60 kg -> £423 / t
ratio 5.78x
The kerbside collection term alone is 6.98 times the entire £350/t virgin-to-recycled spread that a learning curve was being asked to close. Manufacturing cost falls with experience; collection cost falls with density, and density is set by where people live and how they shop.
Why it matters. This is why deposit-return works and kerbside mixed-plastic collection does not — a structural fact, not a failure of effort or of will. It also tells you where to spend: not on better sorting technology, but on the density of the collection event.
You already know this because you know that the last mile costs more than the first thousand, in every logistics business there has ever been.
The idea. Repair is labour in an economy whose real wages rise. Manufacture is capital in an industry whose unit cost falls. The two diverge every year and never cross.
ratio multiplier per year = (1 + 0.015) / (1 − 0.04) = 1.0573
divergence 5.73 %/yr
Worked example. A £200 device with an £80 repair starts at a ratio of 0.40. It reaches 0.50 in 4.01 years and parity — repair costing as much as replacement — in 16.45 years. Where the substitute is a lithium-ion product falling at 13 per cent a year (Ziegler and Trancik, 2021), the divergence is far steeper than the illustration.
What survives. The same divergence applied to an £1,800 device with a £200 repair starts at 0.111 and takes 27.0 years to reach 0.50.
Why it matters. The repair economy is not a movement that failed at the cheap end. It is an economics that only ever worked above a price line, and the line rises every year. Design for repair above the line; below it, argue about material recovery instead, which is the honest argument down there.
You already know this because you have been quoted a repair price, looked at the replacement price, and felt the decision make itself.
The idea. A yield gap is not only a cost. In a world with fixed food demand it is an area of land, and the land comes from somewhere.
Worked example. A 1,000 km² landscape, 500 km² farmed conventionally.
same food at a 19.2 % gap 618.8 km² farmed
habitat, sparing 500.0 km²
habitat, sharing 381.2 km²
the gap costs 118.8 km² = 23.8 % of the habitat
Marginal price: 5 km² per percentage point of gap at zero, rising to 7.66 km² per point at 19.2 per cent. The cost per point rises with the gap.
The two guilds. Organic farmland carries 34 per cent more species richness (Tuck et al., 2014), so the shared landscape carries 65.8 per cent more farmland-generalist capacity. Sparing carries 31.2 per cent more habitat; at a species-area exponent of 0.25, specialist persistence is 0.841 against 0.786 — a 6.56 per cent specialist loss from sharing.
Why it matters. Both are true. Say which guild you are counting and the debate resolves. Phalan et al. (2011) found empirically in Ghana and northern India that species of conservation concern do better under sparing. Kremen (2015) answers that real landscapes are not binary and a spared reserve in a sterile matrix is not what anyone modelled — and she is right, and the arithmetic is still the arithmetic.
You already know this because you have noticed that the birds you see on a farm are the birds you see everywhere.
The idea. One sentence resolves almost every argument about who should carry a permanent premium, by converting it from a question of fairness into a question of fact.
A permanent premium should be paid by whoever holds the avoided cost.
The four cases.
| Who holds the avoided cost | Who pays, and how |
|---|---|
| The public — habitat, emissions, landfill | Procurement standard or levy |
| The buyer, as a differentiated product | Price, where a real price test proves it |
| The incumbent substitute's producer | A levy on the substitute |
| Nobody | The firm, booked openly as a choice |
The fourth row is the important one. If no avoided cost exists, the premium is buying something the firm values for its own reasons. That is permitted. It is booked as a donation, in the open, with an owner and a review date.
Why it matters. A donation described as an investment gets cancelled in the first bad quarter and takes the credibility of every real investment with it. A donation described as a donation survives, because nobody has to defend a forecast that was never made.
You already know this because you have watched a "strategic investment" be killed the moment somebody asked for its return, and known from the start that the answer was going to be embarrassing.
The idea. A levy that has not arrived yet is still worth money today, and there is an honest way to put it on a page that a CFO will sign.
credit today = τ · λ / (λ + w)
τ the levy per unit if you do not switch
λ hazard rate of its arrival, per year
w your cost of capital
Worked example. τ = £217.85/t (the UK Plastic Packaging Tax, 2024/25 rate), λ = 0.15 per year — an expected arrival in 6.67 years — and w = 0.09.
λ / (λ + w) = 0.15 / 0.24 = 0.625
credit = 217.85 × 0.625 = £136.16 / t
Why the form is right. The factor goes to one as the levy becomes imminent and to zero as it recedes, which is the behaviour you want and is not what a point forecast gives you. It also makes the assumption visible: anyone who disagrees with your credit is disagreeing with a stated λ, which is a conversation, rather than with your optimism, which is not.
Why it matters. Most regulatory expectation enters corporate cases as a sentence. This turns it into a number with a parameter somebody can argue about.
You already know this because you price insurance this way already: a probability, a horizon, a discount rate, a figure.
The idea. One inequality decides whether to pay a cost that will never come down.
p < p* = m + s + τ · λ / (λ + w)
p the premium per unit · m the measured revenue premium, from a live price test and never a survey · s avoided direct cost · and the regulatory credit from Brief 8.
Worked example. m = £60/t, s = £40/t, credit = £136.16/t.
p* = £236.16 / t p = £350 / t p / p* = 1.48x
p > p*, so full substitution is a donation of £113.84 per tonne.
What the rule actually tells you to do — and this is why it is a rule rather than a veto. It does not say stop. It says buy the tonnage that pays. Meeting the 30 per cent recycled-content threshold costs 0.30 × £350 = £105/t and extinguishes £217.85/t of certain levy: a net gain of £112.85/t. Contract that volume; leave the rest on virgin; revisit the moment τ rises or λ shortens.
Why it matters. Most firms facing a permanent premium choose between all and nothing, and choose nothing. The rule finds the fraction that is genuinely profitable, which is almost never zero and almost never everything.
You already know this because you hedge part of an exposure rather than all of it, for exactly this reason.
The idea. The most elegant instrument in this chapter is also the most often mis-sized, and the mis-sizing is arithmetic rather than judgement.
The UK Plastic Packaging Tax charges £217.85 per tonne on packaging with less than 30 per cent recycled content.
maximum premium the levy can carry = 217.85 / 0.30 = £726.17 / t
premium it carries above 30 % = £0
Read both lines. Below the threshold the instrument is powerful: it will carry a premium up to £726.17/t, more than twice the £350/t spread it faces. Above the threshold it pays nothing at all, because the tax is already avoided and the instrument has stopped buying.
What follows. A government that wants fifty per cent recycled content and writes a thirty per cent threshold will get thirty per cent. That is not a flaw — it is a precise, cheap and predictable purchase of a specific quantity of behaviour, and it is one of the better-designed instruments in circulation. It is simply not an aspiration, and treating it as one guarantees disappointment.
The design alternative. Where you want behaviour above a threshold, use a linear rate per point of content rather than a cliff, or an outcome standard with a term long enough to finance against.
Why it matters. Instruments do what they are shaped to do. Computing the maximum premium a levy can carry takes one division and it is almost never done.
All figures in these briefs are computed in lib/verify/IV_11.py, printed there with their inputs, units and sources, and cited in the chapter's Works Cited.