English: Logarithmic plot of detected cases (blue) and deaths (red) from CoViD-19 in Romania, based on numbers reported by World Health Organization, updated to March 26, 2020 [1]
Total confirmed cases (blue), total deaths (red), and reported deaths on the last ten days (dotted black).
This chart has been made using the WHO daily reports (see https://www.who.int/emergencies/diseases/novel-coronavirus-2019/situation-reports/). Though countries are committed to report to WHO every day, some country reports are missing, leading to "steps" in the curve. This is caused by messy report and can't really be corrected. Please note that due to time zones and time of report, the figure for a given day according to WHO may not be that of official sources.
The growth of a pandemic in its initial stage is exponential, meaning that the percentage of increase from one day to another is (roughly) constant. This, in turn, means that in a semi-logarithmic plot, the slope is (roughly) constant, therefore the curve is (roughly) a straight segment. In the end of a pandemic, no additional victims are reported, and the curve is a flat horizontal. In between, the public health policy is to bend the curve down. A change in the policy or its efficiency leads to a change in the slope.
To describe the pandemic's evolution, a daily report of victims or deaths is not really informative in the aftermath. The relevant description is, where are the slope changes, which indicate a change in the pandemic's regime? Those inflection points are the limits within which the description of what has occurred can be homogeneous. Most countries start with very weakly sloped curve, almost horizontal, with few SARS-CoV-2-positive patients : that is the contained stage. Then the curve rises all of a sudden, this is the local starting point of the pandemic, the virus has escaped in the wild and is not contained in the hospital any more. Some weeks later the semilog curve has a first inflection point, this is the effect of measures taken at the end of the "wild" phase, which slows the growth regime. There may be some more regime changes before the curve bends downwards towards very low values, which is more or less the (local) end of the pandemic.
Those intervals, where the curve is (roughly) a straight segment, are best seen when they are illustrated by a reference thin straight line. This "best fit" line is a standard statistical function of the data; and if the segment is straight enough, the choice of starting and ending point for the segment makes little difference. Even when the curve does slope downwards and no straight segment can be identified, a straight reference line that underlines the tangent at a point is useful in judging the curvature itself, though the tangent point is of course arbitrary in that case.
Please do not use these "best fit" lines for extrapolation : the mathematics of epidemics involves many different effects and the modelling needs to take into account many different uncertainties. Whatever the slope of the curve is at a given time, it will eventually curve down (switch to a horizontal). In the case of the COVID-19 pandemic, the values may increase again with repeated peaks over the 12-18 months until vaccines are judged to be safe and are mass-produced and provided to the world's population.
Licențiere
Eu, deținătorul drepturilor de autor ale acestei opere, prin prezenta îmi public lucrarea sub următoarea licență:
să partajați cu alții – aveți dreptul de a copia, distribui și transmite opera
să adaptați – aveți dreptul de a adapta opera
În următoarele condiții:
atribuind – Trebuie să atribuiți opera corespunzător, introducând o legătură către licență și indicând dacă ați făcut schimbări. Puteți face asta prin orice metodă rezonabilă, dar nu într-un fel care ar sugera faptul că persoana ce a licențiat conținutul v-ar susține sau ar aproba folosirea de către dumneavoastră a operei sale.
partajând în condiții identice – Dacă modificați, transformați sau creați pe baza acestei opere, trebuie să distribuiți opera rezultată doar sub aceeași licență sau sub o licență similară acesteia.
Acest fișier conține informații suplimentare, introduse probabil de aparatul fotografic digital sau scannerul care l-a generat. Dacă fișierul a fost modificat între timp, este posibil ca unele detalii să nu mai fie valabile.