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Why position four matters more than position one

The heaviest ingredient in a blend is the one the marketing leads with, and it is the one the arithmetic can say least about. The useful positions are further down, where the ceiling has fallen far enough to start contradicting things.

Written by SodaPeak Editorial DeskMedical review Dr. James Bateman III, MD, MPHRevised Reading time 8 min

Quick answer

The ceiling for position one is the entire blend total, which forbids nothing. Each position down divides the total by a larger number, so the ceiling falls fast and the arithmetic gets sharper.

On the SodaPeak panel the fourth position is nettle root. Its ceiling is 300 mg and the lowest studied dose is 360 mg, which makes it the one row on the label that the arithmetic settles outright.

The loosest bound

Why position one tells you least

A ceiling equal to the whole blend is a ceiling that rules nothing out.

The ceiling for the first ingredient in a blend is the total divided by one, which is the total. It could be almost the entire blend, or it could be marginally more than the second ingredient. The bound is true, and it is useless.

This is awkward, because position one is where the attention goes. It is the name in the largest type on the marketing image, the one the product is effectively sold on, and the one the arithmetic is least able to discuss.

On this label the first position is horny goat weed extract, with a ceiling of the full 1,200 mg. There is also no established oral human dose to compare that ceiling against, so the position and the literature fail the reader in the same direction at the same time.

The shape of it

The ceiling falls fast

Dividing by the position number is not a gentle taper. Most of the fall happens in the first four rows.

For a 1,200 mg blend of eight, the ceilings run like this:

How the ceiling falls with position, in a 1,200 mg blend of eight
PositionThe divisionCeilingShare of the total
11,200 ÷ 11,200 mg100%
21,200 ÷ 2600 mg50%
31,200 ÷ 3400 mg33%
41,200 ÷ 4300 mg25%
51,200 ÷ 5240 mg20%
61,200 ÷ 6200 mg17%
71,200 ÷ 7171.4 mg14%
81,200 ÷ 8150 mg13%

Scroll this table sideways →

Three quarters of the fall happens by position four. After that the curve flattens and each further position takes away comparatively little, which is why a long ingredient list does not keep producing new information as it goes on.

The consequence is that position four is usually where a blend first becomes interesting. It is far enough down for the ceiling to be genuinely restrictive, and far enough up that the ingredient is still one the product is sold on.

Nettle root

Position four on this label

The one row on this panel where the arithmetic produces a verdict rather than a range.

Fourth in the printed order on the SodaPeak panel is Nettle Extract (Urtica dioica L.) Root. Its ceiling is 1,200 ÷ 4, which is 300 mg per two-capsule serving.

The published human trials of nettle root for urinary symptoms used 360 mg a day, run over six months. That is the lowest figure we could verify, and it is 1.20× the ceiling. The position forbids the dose.

300 mgthe ceiling at position four
360 mgthe lowest studied daily dose
1.20×how far short the position falls

Every other row on this panel produces a range. This one produces an answer, and the answer does not depend on how the manufacturer chose to split the blend. Move nettle root to position three and the question reopens; leave it where it is printed and it is closed.

The trial

Why this particular row is worth the trouble

Nettle root is not a filler, which is what makes its position notable rather than merely arithmetic.

Four of the eight ingredients on this label have no established human dose at all, so their positions cannot be judged in either direction. Nettle root is not one of them. It has trial literature, a stated duration and a dose, which is precisely why its ceiling can be tested against something.

The trial that supplies the dose is also unusually relevant to a blend called Test Boost. It measured urinary symptoms, and it measured serum testosterone as well — and reported testosterone unchanged. So the ingredient is at a dose its position forbids, for an effect the literature did not find in the direction the product name implies.

Two separate problems on one row, and only the first is arithmetic.

The counterfactual

What position four would look like if it worked

The useful test for any blend: what would have to be true for this position to be adequate?

For nettle root to reach 360 mg in this blend, the three ingredients above it would each have to weigh at least that much, since descending order does not allow a lighter ingredient above a heavier one. Four positions at 360 mg is 1,440 mg, which is more than the whole blend.

So the failure is not marginal and it is not a matter of a generous reading. It would take a blend total of at least 1,440 mg for the fourth position to reach this dose, and the panel prints 1,200 mg.

Run the same counterfactual on any blend and it gives you a clean test. Multiply the studied dose by the position number. If the answer exceeds the blend total, that ingredient cannot be at a studied dose, and no further reasoning is required.

The one-line version

studied dose × position > blend total → impossible.

It is the divide-by-k rule rearranged, and it is easier to do in a shop because it needs no division.

Further down

And the position below it

Positions five to eight, where the ceilings are tightest and the evidence is thinnest.

Below position four this label runs wild yam, sarsaparilla, orchic substance and boron amino acid chelate. Their ceilings are 240 mg, 200 mg, 171.4 mg and 150 mg respectively, and three of the four have no human dose to test against.

The eighth is the exception and it is instructive. Boron has the tightest ceiling on the panel and the most headroom against its studied dose, because the amount studied is small. A low position is not automatically a problem; it is a problem only when the ingredient needs to be large.

That is the general lesson, and it is why counting positions beats reading the marketing. What matters is not where an ingredient sits, but where it sits relative to what it needs.

How the ceiling arithmetic works →All eight positions, divided →The two the marketing omits →

Upwards

The floor the last position forces

Every argument above reads the order downwards. The final position is the one place a blend label can also be read the other way.

Divide by the position and you get a ceiling. That reading runs down the list, and it gets sharper as it goes, which is the whole of the case for position four. The last row supports a second reading that runs back up the list, and it is the more powerful of the two.

Descending order means no ingredient may be lighter than one printed below it. So a figure attached to the final position is a figure attached to every position above it: if the eighth ingredient weighs at least X, then all eight weigh at least X each, and the blend weighs at least eight times X. A number at the bottom of a list puts a floor under the whole list.

That is why the two rows worth holding side by side on this panel are the fourth and the eighth. They are interesting in opposite directions.

Nettle, fourth — a ceiling that forbids
The division gives 300 mg and the lowest verified dose is 360 mg. The ceiling sits below the dose, and the row is settled downwards with nothing assumed beyond the total and the position number.
Boron, eighth — a floor that costs
Roughly 60 mg of chelate is what the 3 mg of elemental boron used in the literature corresponds to. Eight positions at 60 mg is 480 mg, and a 1,200 mg blend can afford that, so the panel permits it. What the permission spends is room higher up the list.

Spend that room twice and the panel contradicts itself. Saw palmetto is printed third with a lowest studied dose of 320 mg, so positions one to three would weigh at least 960 mg between them, leaving at most 240 mg for positions four to eight. Boron at 60 mg in position eight puts a floor of 300 mg under those same five positions, and 300 is more than 240.

Neither figure is a measurement and nothing here says which of the two ingredients is the short one. What the floor establishes is that the panel cannot be read generously twice over — and that is a conclusion a blend label was never designed to hand across.

The practical lesson is to read the last row first. Its ceiling is the smallest number the arithmetic produces, and its floor is the only thing on a blend label that says anything at all about the positions you were told least about.

The mutual exclusion, in full →All eight positions, divided →

Sources

References

The sources behind the numbers on this page.

  1. U.S. Government Publishing Office21 CFR 101.36 — Nutrition labeling of dietary supplements, including the proprietary blend and descending-order requirements — Code of Federal Regulations · source
  2. Safarinejad — 2005Urtica dioica for treatment of benign prostatic hyperplasia: a prospective, randomized, double-blind, placebo-controlled, crossover study — Journal of Herbal Pharmacotherapy · DOI 10.1080/J157v05n04_01 · PMID 16635963 · source
  3. European Medicines Agency — 2012Assessment report on Urtica dioica L. and Urtica urens L., radix (EMA/HMPC/461156/2008) — EMA.europa.eu · source
  4. Men, and colleagues — 2016A systematic review and meta-analysis of Urtica dioica for benign prostatic hyperplasia — African Journal of Traditional, Complementary and Alternative Medicines · DOI 10.4314/ajtcam.v13i2.17 · source
  5. Brown, Wang, Hajduczok et al. — 2019Pharmacokinetics and safety of icariin in healthy adults: a randomized, double-blind, placebo-controlled dose escalation — Natural Product Communications · DOI 10.1177/1934578X19856789 · source
  6. Nielsen, Hunt, Mullen, Hunt — 1987Effect of dietary boron on mineral, estrogen, and testosterone metabolism in postmenopausal women — The FASEB Journal, volume 1 · DOI 10.1096/fasebj.1.5.3678698 · PMID 3678698 · source
  7. NIH Office of Dietary SupplementsBoron — Health Professional Fact Sheet — ods.od.nih.gov · source

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