The discussion of this on the BMJ shows that this is poorly done (if it wasn’t clear enough from some of the statements in the article). Best response was:

Yaneer Bar-Yam: https://www.bmj.com/content/369/bmj.m1375/rapid-responses

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Michael Day [1] claims there are 78% asymptomatic cases in China based on the daily report of China National Health Commission on COVID-19 cases. The report is based on an incorrect reading of Chinese reports [2], and both its scientific and other inferences are incorrect. Given the importance of these inferences, the article should be retracted immediately.

In particular, the article incorrectly assumes the report from China about 36 symptomatic and 130 asymptomatic are both from the same population. It also assumes that the asymptomatic cases are not pre-symptomatic, i.e. they may develop symptoms later, typically within a few days. Both these assumptions are incorrect and lead to an incorrect understanding and conclusions.

For clarity, we report below the details of the Chinese report for March 31 through April 2. The newly reported results by China require careful interpretation as we learn what each category represents.

For background, there are 3 distinct populations that the Chinese reports refer to, A: International arrivals, B: Quarantined close contacts, C: The general public. Understanding that there are more than one populations is essential to understanding the Chinese reports.

CHINESE REPORTS

March 31 (reported one day later on April 1, this is the report Day[1] cites):
• 36 new symptomatic, 35 from A
• 130 new asymptomatic from A, B, and C

Comment: If these were from the same population, then the percentage of asymptomatic would be 130/(130+36)=78%. However this is not the case, as most of the symptomatic individuals are from population A and most of the asymptomatic are from population B and C (see subsequent days).

April 1:
• 35 new symptomatic, all from A
• 55 new asymptomatic, 17 from A
• 9 asymptomatic cases convert on April 1 to symptomatic, all from A
• 226 cumulative asymptomatic from A

Comment: We see that within population A, there are 35 new symptomatic and 17 new asymptomatic for this day. However, the statement that there are conversions shows they may be pre-symptomatic rather than asymptomatic cases

April 2:
• 31 new symptomatic, 29 from A
• 60 new asymptomatic, 7 from A
• 7 asymptomatic cases convert on April 2 to symptomatic, all from A
• 221 cumulative asymptomatic from A Comment: As a result, within A, 29 are new symptomatic, 7 are new asymptomatic

Comment: To understand the number of cumulative asymptomatic cases from A on April 2 requires additional information from the Chinese report. The report states that 101 asymptomatic cases, 5 of which from A, are released from medical observation on the day of the report, after a 2-week quarantine and consecutive negative test results. On April 2, asymptomatic cases from A start at 226, there are added 7 new imported asymptomatic cases, subtracted 7 converted to symptomatic, and subtracted 5 released, leading to the 221 cumulative asymptomatic from A.

We note that the asymptomatic number from B and C is much larger than that from A (849:226 as of April 1), but the 16 conversions are all from A. This suggests that many of the current reported asymptomatic cases from international arrival are pre-symptomatic. The high ratio between asymptomatic cases from B and C compared to A makes sense due to the presence of long term asymptomatic cases, that continue to test positively, remaining as a residual from the large number of cases in China.
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