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A comparative analysis of GNSS-inferred precipitable water vapour at the potential sites for the Africa Millimetre Telescope

T0 review · 3 major / 6 minor · reviewed 2026-08-15 · deepseek-v4-flash

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Pith's one-line read Gamsberg Mountain is the drier, more suitable site for the Africa Millimetre Telescope, and supports 345 GHz observing in winter.

desk verdict A useful, honest site assessment that correctly favors Gamsberg, but the headline 345 GHz winter claim rests on a six-week transfer relation extrapolated across all seasons. read the letter →

arxiv 2505.05310 v1 pith:YQ5WC4FM submitted 2025-05-08 astro-ph.IM physics.data-an

Lott Frans , Michael Backes , Heino Falcke , Tiziana Venturi This is my paper · ORCID
classification astro-ph.IMphysics.data-an
keywords precipitablewatervapourGNSSsitetestingmillimetreastronomysubmillimetreatmosphericopacityEventHorizonTelescopeAfrica
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

This paper tries to establish which of two Namibian sites should host the Africa Millimetre Telescope by measuring the column of water vapour above each. It finds a median precipitable water vapour of 14.27 mm at the H.E.S.S. site and 9.25 mm at Gamsberg Mountain, and argues that the lower water burden at Gamsberg makes it the better site. If the estimates are right, the telescope would work well at 86 and 230 GHz from either site, and at 345 GHz from Gamsberg during the southern winter, when dry air lets more millimetre-wavelength light through.

What carries the argument

The argument runs on a conversion chain from raw GNSS signal delays to PWV and then to opacity. The zenith total delay is split into hydrostatic and wet parts using on-site pressure and the Saastamoinen-Davis hydrostatic models; the wet delay becomes PWV through the Bevis water-vapour constants and the weighted mean temperature. Because the Gamsberg GNSS record covers only six weeks, the paper manufactures a multi-season Gamsberg series by applying the linear relation $\mathrm{PWV}_{\mathrm{Gam}} = 0.83\,\mathrm{PWV}_{\mathrm{H.E.S.S.}} - 2.61\ \mathrm{mm}$, calibrated on the overlapping April-May 2024 data. PWV is then turned into opacity at 86, 230, and 345 GHz with quadratic fits built from MERRA-2 and the am atmospheric model, and transmission is $t(\nu)=e^{-\tau(\nu)}$.

What would settle it

Put a PWV radiometer, or a sustained GNSS receiver, on Gamsberg Mountain through June, July, and August and compare the measured winter median PWV with the predicted 2.62 mm. If the measured median comes out instead near the H.E.S.S. winter value, or if the Gamsberg-to-H.E.S.S. offset changes seasonally, the 345 GHz winter transmission claim fails.

Watch

Extended reading notes

Core claim

The central claim is that the Gamsberg Mountain, which stands 518 m higher, has consistently lower precipitable water vapour than the H.E.S.S. site and is therefore the most suitable location for the AMT. The paper derives PWV from GNSS signal-delay measurements, checks them against MERRA-2 reanalysis data (92% correlation), and then fills in the short Gamsberg record by converting H.E.S.S. PWV with the relation $\mathrm{PWV}_{\mathrm{Gam}} = 0.83\,\mathrm{PWV}_{\mathrm{H.E.S.S.}} - 2.61\ \mathrm{mm}$. On that basis it reports overall PWV medians of 14.27 mm at H.E.S.S. and 9.25 mm at Gamsberg, EHT-window medians of 16.62 mm and 11.20 mm, and a Gamsberg winter median of 2.62 mm, for which the 345 GHz transmission reaches a 62% median (77% at the 25th percentile). At the H.E.S.S. site, 345 GHz is effectively ruled out in the March-April EHT window, where even the best quartile passes only 10%.

Load-bearing premise

The load-bearing premise is that the two sites, 30 km apart, experience the same atmospheric conditions all year, so that a Gamsberg PWV series can be reconstructed from H.E.S.S. measurements using a relation fitted to six weeks of overlap.

Editorial extensions

If this is right

  • Gamsberg would deliver median atmospheric transmission of 91% at 86 GHz and 62% at 230 GHz, versus 87% and 46% at the H.E.S.S. site.
  • During the current March-April EHT window, a Gamsberg AMT would receive median 55% transmission at 230 GHz (68% in the best quartile), compared with 40% (52%) at H.E.S.S.
  • 345 GHz observing is viable only from Gamsberg and only in winter, with a median transmission of 62%; at H.E.S.S. the EHT-window best is 10%.
  • If the EHT extends beyond March-April, both sites could host 230 GHz EHT observations in the southern winter, with Gamsberg providing the most transparent sky.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • Inference: because the Gamsberg calibration record runs from April to May only, the same-atmosphere assumption carries the entire winter and 345 GHz result; an independent winter measurement could overturn it.
  • Inference: the 518 m altitude advantage is doing most of the work in the PWV gap, so a short dedicated winter campaign at Gamsberg, even a few weeks of radiometer data, would directly test the most consequential claim.
  • Inference: the exponential sensitivity of 345 GHz transmission to PWV means that a small dry-end error in the linear conversion changes the winter 345 GHz verdict; a modest PWV error near the winter median would move the transmission result by tens of percent.
  • Inference: a natural next check is to use the same MERRA-2 reanalysis to predict seasonal Gamsberg PWV directly, since the paper uses MERRA-2 for opacity calibration but not as an independent seasonal Gamsberg PWV estimate.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

3 major / 6 minor

Summary. The manuscript compares GNSS-derived precipitable water vapour (PWV) at two candidate sites for the Africa Millimetre Telescope, the H.E.S.S. site and Gamsberg Mountain, and uses MERRA-2 reanalysis together with the am atmospheric model to derive opacities and atmospheric transmissions at 86, 230, and 345 GHz. The authors report that both sites are viable at 86 and 230 GHz, that Gamsberg has lower PWV overall (median 9.25 mm versus 14.27 mm), and that 345 GHz observations are possible at Gamsberg during winter, with a winter median PWV of 2.62 mm and a median 345 GHz transmission of 62%. The analysis rests on a short six-week overlap of GNSS data at the two sites (2 April to 16 May 2024), from which a linear transfer relation is derived and then applied to the full H.E.S.S. GNSS record to synthesize the Gamsberg seasonal statistics.

Significance. If the central seasonal results can be supported, the paper provides a valuable contribution to AMT site selection and to the broader EHT site-testing literature: it supplies a direct GNSS PWV record at H.E.S.S., demonstrates a high (92%) correlation between GNSS and MERRA-2 PWV, and applies a standard radiative-transfer tool to produce opacity and transmission estimates at three frequencies. The qualitative ranking of Gamsberg as drier is consistent with its 518 m altitude advantage and with Sarazin (1995), and the H.E.S.S. PWV analysis is largely sound. The main unresolved significance-risk is that the winter Gamsberg statistics, including the headline 345 GHz claim, are not directly measured but are synthesized through an extrapolated linear relation.

major comments (3)
  1. [§3.2.2, Eq. (8)] The entire multi-season Gamsberg PWV series, including the winter median of 2.62 mm and the winter 345 GHz transmission values in Section 3.2.3, Table 6, and Figure 9, is synthesized by applying the relation PWV_Gam = 0.83 * PWV_HESS - 2.61 mm to the H.E.S.S. GNSS record. This relation is fitted to only the six-week concurrent period between 2 April and 16 May 2024 and is applied under the explicit assumption that the two sites experience the same atmospheric conditions. The sites differ by 30 km in horizontal separation and 518 m in altitude, so seasonal changes in moisture advection, orographic lifting, or valley-level processes could alter the slope or intercept during winter. Because the abstract's central claim that 345 GHz is possible at Gamsberg during winter rests on this extrapolation, the paper should (i) test the seasonal stationarity of Eq. (8) using the 24-year MERRA-2 record at both sites, (ii) provide uncertainties on the fitted parameters and propagate them through the opacity and transmission calculations, and (iii) state explicitly that no direct Gamsberg GNSS data exist for June-August.
  2. [§3.1.2 and §3.2.1, Tables 2 and 5] The polynomial coefficients A, B, C in Eq. (6) are fitted to MERRA-2 PWV and opacity, but the transmission statistics in Tables 3, 4, 6, and 7 are computed by inserting GNSS PWV into these same fits. Section 3.1.1 reports a mean 7.45% difference (0.84 mm) between MERRA-2 and GNSS PWV at the H.E.S.S. site, yet this calibration offset is not propagated through Eq. (6). The resulting opacities and transmissions therefore carry an unquantified systematic uncertainty that is relevant to the 345 GHz conclusions. Please add an error-propagation or sensitivity analysis that shows how a PWV bias of the reported magnitude changes the transmission percentiles, especially at 345 GHz.
  3. [§3.2.3, Figure 9b and Table 6] The text states that during winter the Gamsberg 345 GHz median transmission is 62% and the 25th-percentile value is 77%, while Table 6 lists an overall 345 GHz median transmission of 18% and a 25th-percentile value of 40%. These numbers are not contradictory only if the winter statements are understood to be conditioned on the June-August weeks, but the paper never states how many winter weeks or seasons contribute to Figure 9b or Table 6. Please make the conditioning explicit and report the sample size behind each winter percentile; as written, the abstract's phrase '345 GHz possible at the Gamsberg Mountain during winter' can easily be misread as being supported by the overall statistics in Table 6.
minor comments (6)
  1. [§2.1, Eq. (5)] The typesetting of Eq. (5) is difficult to parse: the factor 10^6 and the combination k'_2 + k_3 T_m^{-1} should be displayed with standard mathematical notation and clear parentheses.
  2. [§3.1.1] The text says the GNSS-MERRA-2 comparison covers 'over a year,' but the period from September 2022 to April 2024 is actually about 19 months; please state the exact span.
  3. [§3.2.2] The sentence 'only spans over 2 Months from 2 April 2024 and May 2024' should give the exact end date, 16 May 2024, as shown in Figure 7.
  4. [§3.1.1, Figure 3a] The reported '92% correlation' should specify whether this is Pearson's r, Spearman's rank, or R^2, and should be accompanied by the scatter or residual statistics, since the transfer relation in Eq. (8) is also a correlation-based fit.
  5. [§1 and §4] The paper should briefly reconcile its H.E.S.S. winter median PWV of 6.29 mm with the Backes et al. (2024) winter value of 3.04 mm cited in Section 1, rather than leaving the reader to infer all of the differences from the discussion of instrument biases.
  6. [§3.2.2] Please add a small table or text comparing the six-week concurrent GNSS statistics at both sites with the full synthesized year, so that the proportion of directly measured versus extrapolated data behind the final Gamsberg statistics is transparent.

Circularity Check

0 steps flagged · score 1.0 of 10

No significant circularity; the central PWV comparison is an explicit extrapolation, not a definitional tautology.

full rationale

The derivation is self-contained. H.E.S.S. PWV is directly observed from GNSS delay data using standard formulas (Eqs. 1-5). MERRA-2 is an independent reanalysis used to validate GNSS (92% correlation, Fig. 3) and to fit PWV-opacity polynomials (Eq. 6, Tables 2 and 5) with the am model; these fits are then applied to GNSS PWV, an independent input. The Gamsberg long-term series is transparently generated by Eq. 8, a linear transfer fitted to the six-week overlap of concurrent GNSS measurements, and is labeled as converted/estimated rather than measured. The winter Gamsberg statistics and 345 GHz transmission claims therefore rest on an unverified seasonal-stationarity assumption, which is a data-coverage and robustness concern, not a circular reduction: no target PWV or transmission value is used as input to the fit, and no result is definitionally identical to its premises. The only self-citations (Backes et al. 2016, 2024) provide site context and auxiliary H.E.S.S. instrument comparisons, but are not load-bearing for the main quantitative derivation.

Assumptions & free parameters 3 free parameters · 5 assumptions · 0 invented entities

The paper's central outputs rest on three fitted relations (two PWV-opacity quadratics plus the Gamsberg/H.E.S.S. transfer line) and on the assumption that 30-km-separated sites share weather. No new physical entities are introduced.

free parameters (3)
  • H.E.S.S. PWV-opacity quadratic coefficients A, B, C at 86/230/345 GHz = e.g. 230 GHz: A=0.000544 mm^-2, B=0.0437 mm^-1, C=0.0325 (Table 2)
    Fitted with Eq.6 to MERRA-2 plus am model output; used to convert all GNSS PWV into opacity and transmission at H.E.S.S. Fit residual uncertainty is not propagated.
  • Gamsberg PWV-opacity quadratic coefficients A, B, C at 86/230/345 GHz = e.g. 230 GHz: A=0.000616 mm^-2, B=0.0438 mm^-1, C=0.0217 (Table 5)
    Same fitting procedure as H.E.S.S.; central to converting the inferred Gamsberg PWV series into opacity and transmission.
  • Gamsberg-to-H.E.S.S. transfer slope and intercept = 0.83 and -2.61 mm (Eq.8)
    Linear fit to concurrent GNSS PWV over approximately six weeks (2 April to 16 May 2024), r^2=0.96. The entire long-term Gamsberg PWV series is generated with this relation.
assumptions (5)
  • domain assumption NGL GipsyX ZTD solutions and VMF1 interpolated Tm are valid inputs for PWV estimation.
    Used in Section 2.1 without independent verification against a radiometer or radiosonde at either site; the paper itself calls for a radiometer for validation.
  • domain assumption The two sites experience the same atmospheric conditions because they are in the same locality, so H.E.S.S. PWV can be mapped to Gamsberg PWV with Eq.8.
    Stated in Sections 3.2.2 and 3.2.3; this is the load-bearing premise for all seasonal and winter Gamsberg statistics.
  • domain assumption The am atmospheric model (Paine 2022) provides accurate PWV-opacity relations at 86, 230, and 345 GHz for these sites.
    Used to build the Eq.6 fits; no in-situ opacity measurement is available to check the absolute calibration, and the 7.45% GNSS-MERRA-2 difference is absorbed into the fits.
  • standard math Bevis et al. (1994) constants and Saastamoinen/Davis ZHD models are applicable.
    Standard GNSS meteorology formulas used in Eqs.2 and 5; these are accepted background results and are not in dispute.
  • domain assumption MERRA-2 reanalysis interpolated to the two sites is a faithful weather proxy over 24 years.
    Used for validation and for opacity relations; MERRA-2 and GNSS agree to 92% correlation but differ by 7.45% on average, so absolute accuracy is not established.

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Cite this review

Pith. "Pith review of A comparative analysis of GNSS-inferred precipitable water vapour at the potential sites for the Africa Millimetre Telescope." pith.science (2026). https://pith.science/paper/YQ5WC4FM

@misc{pith2026250505310,
  author       = {Pith},
  title        = {Pith review of: A comparative analysis of GNSS-inferred precipitable water vapour at the potential sites for the Africa Millimetre Telescope},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/YQ5WC4FM}},
  note         = {Machine review of arXiv:2505.05310}
}
abstract

The Event Horizon Telescope (EHT) is a network of antennas across the globe currently used to image super-massive black holes (SMBHs) at a frequency of 230 GHz. Since the release of the image of M87$^\ast$ in 2019 and, subsequently, that of Sgr A$^\ast$ in 2022 by the EHT collaboration, the focus has shifted to dynamically imaging SMBHs. This has led to a search for potential sites to extend and fill in the gaps within the EHT network. The Gamsberg Mountain and the H.E.S.S. site are both located within the Khomas highlands and have been identified as potential sites for the Africa Millimetre Telescope (AMT). Precipitable water vapour (PWV) in the atmosphere is the main source of opacity and noise from atmospheric emissions when observing at millimetre to sub-millimetre wavelengths. This study aims to establish the PWV content and the atmospheric transmission at 86, 230, and 345 GHz at the AMT potential sites using Global Navigation Satellite System (GNSS) derived PWV data. Results show both sites have potential for observations at 86 and 230 GHz, with 345 GHz possible at the Gamsberg Mountain during winter. The overall median PWV of 14.27 mm and 9.25 mm was calculated at the H.E.S.S. site and the Gamsberg Mountain, respectively. The EHT window had PWV medians of 16.62 mm and 11.20 mm at the H.E.S.S. site and Gamsberg Mountain, respectively. Among the two sites, the Gamsberg Mountain had the lowest PWV conditions, therefore making it the most suitable site for the AMT.

Figures

Figures reproduced from arXiv: 2505.05310 by the authors.

Figure 1
Figure 1. GNSS station with a MET4 weather station installed at the H.E.S.S. site. A similar GNSS station was installed at the Gamsberg Mountain. where 𝐻 is the height in metres and 𝜆 the latitude of the GNSS station. Given the station measures the 𝑍𝑇 𝐷 and the 𝑍𝐻𝐷 can be calculated using equation 2 and 3, then the 𝑍𝑊 𝐷 can be obtained from equation 1 as, 𝑍𝑊 𝐷 = 𝑍𝑇 𝐷 − 𝑍𝐻𝐷 (4) from which the integrated PWV (Combrink 2006) her… view at source ↗
Figure 2
Figure 2. Periods for which data from the various sources are available for Gamsberg Mountain and the H.E.S.S. site. The MERRA-2 dataset in this study spans from 1 January 2000 to 18 April 2024 and is only displayed since September 2022 [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗
Figure 3
Figure 3. Validation analysis of the PWV data from MERRA-2 and GNSS station. MNRAS 000, 1–12 (2025) [PITH_FULL_IMAGE:figures/full_fig_p005_3.png] view at source ↗
Figures from the paper (6 more)
Figure 4
Figure 4. Figure 4: Fits of the H.E.S.S. site PWV against opacities at 22, 86, 230, and 345 GHz [PITH_FULL_IMAGE:figures/full_fig_p006_4.png]
Figure 5
Figure 5. Figure 5: Weekly PWV, opacity, and atmospheric transmission at the H.E.S.S. site. The yellow period signifies the winter period of June, July, and August whilst the green is the EHT window of observations which occurs during March and April. MNRAS 000, 1–12 (2025) [PITH_FULL_IM…
Figure 6
Figure 6. Figure 6: Fits of the Gamsberg Mountain PWV against opacity at 22, 86, 230, and 345 GHz [PITH_FULL_IMAGE:figures/full_fig_p008_6.png]
Figure 7
Figure 7. Figure 7: Data measured by GNSS station at the Gamsberg Mountain since 2 April [PITH_FULL_IMAGE:figures/full_fig_p009_7.png]
Figure 8
Figure 8. Figure 8: Data taken consecutively by GNSS stations at the Gamsberg Mountain and the H.E.S.S. site since 2 April 2024. The lower figure shows the relation of the fit between Gamsberg Mountain and the H.E.S.S. site PWV. transmission at 86, 230, and 345 GHz [PITH_FULL_IMAGE:figur…
Figure 9
Figure 9. Figure 9: Weekly PWV, opacity, and atmospheric transmission at the Gamsberg Mountain. The yellow period signifies the winter period of June, July, and August whilst the green is the EHT window of observations which occurs during March and April. MNRAS 000, 1–12 (2025) [PITH_FUL…

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