Keegan99 said:
Please tell me how detected infections and subsequent fatalities are related?


If your threshold for who gets tested is consistent and there is a consistent access to be able to get people tested (even if results are too slow to aid with contact tracing) you will capture a certain picture or snap shot of who all is infected. Now as you mentioned in the past you won't catch all infections. And as you also mentioned depending upon what point in time you are looking at and what the testing threshold and capabilities were at the time you have to use different multipliers to estimate how many people were truly infected at that time.
Well when things are steady which they have been for 2+ months in terms who qualifies to get tested and what our testing capabilities are then you will start seeing a more consistent snap shot that allows you to make predictions based on natural course of the illness. The treatments with remdesivir, dexamethasone, convalescent plasma and prone positioning with intubation/ventilation have also been pretty steady for 2+ months. So in this window of time in Texas & the United States we are seeing pretty consistent percent of deaths that lag daily new cases by three weeks which is common with the natural course of this disease.
This is the chart I've posted on previous threads with Texas data...
This past week (July 21-24) Texas ended up averaging 174 deaths per day which was 2.3% of the daily deaths from three weeks before.You could not do this with early New York Data compared to current data because we were missing too many cases because of our botched early efforts to get a workable test up to scale. We were only testing people who had significant risk factors based on travel, or only people with known contacts who had already tested positive, or only people sick enough to be in the hospital, or only people who had all of the most classic symptoms. The testing thresholds and capabilities were changing so much in March and April it would make it hard to have consistently captured the same percent of total cases and so much harder to predict future deaths.
Sweden is similar because they have changed their testing philosophy and capabilities also.
It's harder to show now because you don't find many graphs that show testing per capita over time.
But Sweden initially wasn't testing hardly anybody, unless you were very sick and essentially needing to consider hospitalization. Compared to Norway and their other comparable nordic neighbors they were testing less than half per capita.
Those other countries like Norway got their pandemics under control and haven't had to test at nearly as high a volume because when you have few cases you have few contacts to trace and test. (to illustrate you could use the comparison Norway is to Sweden, as South Korea is to the USA -- earlier adequate testing leads to less overall testing).
In Sweden they did continue have a significant number of cases and at one point late in the spring/early summer they decided that they were going to try and really ramp up their testing efforts beyond just testing people who were sick enough to consider hospitalization. This was done in an effort to try and suppress their death's per capita which is the 7th worst in the world and 5th worst in the world for countries with greater than 10 million people.
Sweden to Ramp Up Coronavirus Testing (Link). [url=https://medicalxpress.com/news/2020-05-sweden-ramp-coronavirus.html][/url]
As they tested more, starting in late May and Early June they saw their number of documented cases sky rocket.
Coronavirus Cases Hit Daily Record in Sweden as Testing Ramps Up (Link from Mid June). I would argue that they didn't have more cases in late May and June than they did before or after their "pseudo surge" they just documented more cases and subsequently the deaths that were to trail 3 weeks later weren't going to go up because the actual level of infection had not changed substantially.
What ultimately happened is their increased testing helped them contact trace and isolate the more mild cases and instead of having a more slow burn like they were on before they were doing adequate testing, they actually now were able to identify and isolate more mild disease and subsequently slowed their rate of transmission. They saw their cases decline and subsequently their deaths have declined as well.