"Now that we have succeeded in capturing the natural climate variability, we can see that the projected anthropogenic warming will be much greater than that.”
That does not seem to support your claim of "natural rise".
“Now that we have succeeded in capturing the natural climate variability, we can see that the projected anthropogenic warming will be much greater than that.”
"For the past 3 million years, Earth’s climate has been in an Icehouse state characterized by alternating glacial and interglacial periods. Modern humans evolved during this time, but greenhouse gas emissions and other human activities are now driving the planet toward the Warmhouse and Hothouse climate states not seen since the Eocene epoch, which ended about 34 million years ago."
Please read the article you're linking. Unless this is an awkwardly executed joke that I'm missing?
We've got spectrographs that can look at that radiation to see which radiation is not balanced. We can see that what is happening is radiation coming in at wavelengths that the atmosphere doesn't block heats things which reradiate much of that energy as infrared which the atmosphere blocks.
Thanks to spectroscopy we know that it is CO₂ in the atmosphere that is largely responsible for this blocking.
We know that the increase in CO₂ levels over the last couple of hundred years is largely from fossil fuels rather than things like decaying vegetation, forest fires, animal respiration and flatulence, or volcanic gases because of isotope ratios in atmospheric CO₂.
CO₂ from living things or recently living things contains ¹⁴C. CO₂ from fossil fuels and volcanoes does not contain ¹⁴C. CO₂ from volcanoes contains a higher ratio of ¹³C to ¹²C than the ratio in atmospheric CO₂. CO₂ from fossil fuels contains a lower ratio of ¹³C to ¹²C than the ratio in atmospheric CO₂.
That allows scientists to look at the isotope ratios in the atmosphere and figure out how much of the CO₂ there came from fossil fuels and how much came from volcanoes. The result is that most of the increase is from fossil fuels.
As a sanity check that result also matches well with the amount of CO₂ that we'd expect to have been released based on the amount of known fossil fuel use.
So no, it is not a natural rise.