Archive for the ‘Analysis’ Category

Lucas resonances of the three planet system TOI-1749

Posted: September 29, 2022 by oldbrew in Analysis, data, Lucas, Maths

Artist’s impression of an exoplanetary system [credit: NASA]

The three exoplanets of the TOI-1749 system are labelled b, c and d. A year ago, an article in the Astronomical Journal on this system by a group of scientists noted a near 2:1 orbital ratio of planets c and d, but made no reference to synodic periods.

Now, with newer data from, we analyse the synodics. The mean period between alignments of two planets with their star is as follows:
b-c = 5.0989527 days
c-d = 8.922796
b-d = 3.2447389

From that, the ratios can be obtained:
7 b-c = 35.692668 days
4 c-d = 35.691184
11 b-d = 35.692127

4:7:11 coincides with the Lucas number series which is closely related to the Fibonacci series and the golden ratio.



A 2020 news report (H/T Belfast Telegraph) headlined Extreme weather being caused by jet stream ‘not because of Arctic warming’, with the sub-heading: ‘Any link is more likely to be a result of random fluctuations in the jet stream influencing Arctic temperatures, researchers say’ – cites a study that comprehensively contradicts the findings described in the article below. “The well-publicised idea that Arctic warming is leading to a wavier jet stream just does not hold up to scrutiny”, said Professor James Screen [University of Exeter]. “With the benefit of 10 more years of data and model experiments, we find no evidence of long-term changes in waviness despite on-going Arctic warming.” But the stated lack of evidence hasn’t deterred this new research. Are they flogging the proverbial dead horse?
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A quartet of researchers, two with the Nordic Institute for Theoretical Physics and two with Pukyong National University, has created a group of simulations of changes to the jet stream under global warming, says

In their paper published in Proceedings of the National Academy of Sciences, the group describes using math theory to describe wind motion under given circumstances to create their simulations.

Over the past several years, the jet stream has become wavier than it used to be. Both peaks and valleys have become more extreme.

This has led to changes in weather patterns—some places have grown wetter and some drier, and there have also been more extended hot and cold spells around the globe.


An unflattering analysis of climate models. Using mean values from numerous models is questioned. Climate attribution studies don’t fare any better: “these approaches are likely to be flawed”.
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A team of Australian scientists, financiers and economists have issued a stark warning over the use of “flawed” climate models to predict financial risk, says Net Zero Watch.

Writing in the journal Environmental Research they say building future strategies on information that is not understood and potentially misleading is likely to expose the global financial system to systemic risks of its own making.

Politicians and policy-makers are increasingly seeking to assess the potential risks to the financial system associated with climate change.


Six years ago this week, I agreed to a wager with Eli Rabett on the trend in Arctic sea ice extent from 2006-2026. Now we’re more than halfway to the finish line, it’s a good time to check on progress. Here’s how the Sea Ice Extent graph looks from mid 2006 to mid 2022. The trend is still towards less ice, but not by much. There’s no ‘climate emergency tipping point’ visible in the data.

The terms we agreed are detailed in the image of the twitter convo below.


As described below, when climate scientists removed the warming factors they chose to create in their models, the results showed lower temperatures. They seem unaware or uninterested that this proves little or nothing, but label it science anyway and say their studies attribute most of the blame for any observed warming to human factors.
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Since 1880, the average global temperature on Earth has increased by at least 1.1 °C. The culprit? Climate change, of course, asserts

Getting hotter, faster

According to findings released by the World Weather Attribution (WWA) initiative, a global collaboration between climate scientists and specialists, the record temperatures would have been up to 4 °C cooler without human-caused climate change.

The hottest day ever (40.3 °C) in the UK was registered on 19 July. The WWA analysis also claims [sic] that climate change made this heatwave 10 times more likely.
. . .
Dr. Radhika Khosla from the Oxford Smith School of Enterprise and the Environment applauded the WWA’s efforts:


A reading of the executive summary of the new GWPF paper is probably enough to confirm many suspicions about alarmist claims.
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A PAPER from the Global Warming Policy Foundation says that a recent shift in methodology by the UN’s Intergovernmental Panel on Climate Change (IPCC) has led to misleading claims about increases in weather extremes.

The review by physicist Dr Ralph Alexander finds that IPCC claims are largely unsupported by observational evidence, says Paul Homewood @ The Conservative Woman.


Monsoon region

A familiar story of inaccurate climate models. The overestimates would undermine various predictions.
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Global climate tools being used to predict future temperature rises and rainfall across Asia are significantly overestimating their potential growth and impact, according to new research.

A study published in Nature Communications suggests predictions by the World Climate Research Program’s Coupled Model Intercomparison Project Phase 6 (CMIP6) are overestimating future temperature growth by between 3.4% and 11.6%, says

Based on revised calculations, an international team of researchers say this could result in the rate of snow cover loss in Asia, notably in the Himalayas, being between 10.5% and 40.2% lower than previously predicted.

As well as the physical effects on the landscape, this, they add, could have significant knock-on effects on both predicted future climate warming and water availability in Asia.



The Financial Post of July 09, 2022, reported that Canada will release a sanctioned, overhauled gas turbine to Germany, for use in Russia’s Nord Stream 1 gas pipeline, hopefully preventing a further collapse of Germany’s economy, says Friends of Science. Critics denounced the move as conflicting with Canada’s “Stand with Ukraine” policy. According to Canada’s international trade website: “Germany, with the largest economy in the EU and the fourth largest in the world … Germany is Canada’s largest export market in the EU…with two-way merchandise trade totaling $25.8 billion in 2021.”

Germany is heavily reliant on natural gas from Russia. DW reported on July 11, 2022, that Germany was preparing for possible total Russian gas cut-off which would mean economic collapse and social strife due to rationing of low gas reserves and a cold winter ahead.

EChemi reported in April 2022, Germany chemical giant BASF warned that it may have to shut down production: “there is no substitute for natural gas as a raw material or energy source (in Germany), and a shortage of natural gas will result in it not having enough energy for chemical production and lack of key raw materials for manufacturing products.” Many BASF products are familiar and important to the daily life of millions of people worldwide. About 39,000 people work at BASF’s Ludwigschafen chemical processing complex in Germany.

EU energy geopolitics expert Samuel Furfari explains in his July 12, 2022, Atlantico article, “Towards a gas cut: the moment of truth on our dependence on hydrocarbons has come,” oil and gas provide the ‘horse-power’ to make large scale food production possible, but they are also the source of fertilizer. Skyrocketing fertilizer costs and blocked wheat exports from Ukraine will create food shortages and famine.


Once again it’s my pleasure to publish a new paper by Ned Nikolov and Karl Zeller at the Talkshop. In this study, we see the presentation of a climate conundrum, and recent surface solar radiation data which helps shed new light on the questions surrounding the ongoing adjustment of global temperature datasets. This new study applies theory developed in Ned and Karl’s previous paper to enable quantification of the global temperature drop during the “1970s ice-age scare”. This won’t be the last word on the topic, but it offers a solid grounding for further research.

A PDF version of this article can be downloaded here.

Implications of a New Gridded Dataset of Surface Solar Radiation
for the Evolution of Earth’s Global Surface Temperature Since 1960

Ned Nikolov, Ph.D. and Karl Zeller, Ph.D.
July, 2022


A new data set of measured Surface Solar Radiation (SSR) covering six continents (Yuan et al. 2021) reveals that the Earth surface received annually 6.6 W m-2 less shortwave energy in 2019 than it did in the early 1960s, and that the average solar flux incident on land decreased by 8.2 W m-2 between 1962 and 1985. Since the Sun is the primary source of energy to the climate system, this pattern of SSR change over the past 60 years (oftentimes referred to as global dimming) suggests that the early 1960s were much warmer than the present. However, all modern records of global surface air temperature show a net warming of about 1.0 K between 1962 and 2019. We investigate this conundrum with the help of an independently derived model (previously verified against CERES observations) that accurately converts observed SSR anomalies into changes of global surface temperature. Results from the SSR-based temperature reconstruction are compared to observed global surface temperatures provided by UAH 6.0 and HadCRUT5 datasets. We find that the SSR-based global temperature estimates match quite well the UAH satellite record from 1982 to the present in terms of overall trend and interannual variability suggesting that the observed warming of the past 40 years was the result of a decreased cloud albedo and an increased SSR rather than rising atmospheric CO2 concentrations. The HadCRUT5 record also shows a satisfactory agreement with the SSR-based temperatures over the same time period. However, between 1962 and 1983, the SSR-based temperature reconstruction depicts a steep global cooling reaching a rate of -1.3 K/decade during the 1970s. This is drastically different from the mild warming claimed by HadCRUT5 over this time period. The cooling episode indicated by the SSR data is corroborated by more than 115 magazine and newspaper articles published throughout the 1970s as well as a classified CIA Report from 1974 all quoting eminent climatologists of the day, who warned the public that the observed worldwide drop of temperatures threatened the global food supply and economic security. Based on this, we conclude that researchers in charge of the HadCRUT dataset have likely removed the 1962 – 1983 cooling episode from the records before the publication of HadCRUT1 in 1994 in an effort to hide evidence contradicting the UN Resolution 43/53 from 1988, which proclaimed a global warming caused by greenhouse gases as a major societal concern, and urged Governments to treat it as a priority issue in climate research and environmental protection initiatives.

  1. Introduction

It is a matter of conventional wisdom now that the Earth was significantly cooler during 1960s compared to the 21st Century. Similarly, no one disputes that the planet’s surface temperature was 1.2oC lower in the beginning of the 20th Century compared to the present. This paradigm of climate change is based on surface temperature records maintained by several research teams that show remarkable consistency with one another. Figure 1 portrays global temperature anomalies based on 6 datasets supposedly constructed using different approaches summarized by Morice et al. (2021). All global records depict a nearly continuous warming since 1920 with a brief pause of the temperature rise between 1940 and 1980. No record shows a drop of global temperature between 1960 and 1980, which is at odds with a well-documented, decade-long discussion in the media about an ongoing rapid cooling during the 1970s currently known as the “1970s ice-age scare”.

Figure 1. Global surface temperature anomaly from 1850 to 2021 according to 6 official data sets. Note the remarkable consistency among various time series (borrowed from Fig. 8 of Morice et al. 2021).


The net zero emissions concept is once again exposed as a Hollywood-type fantasy. Regardless of whether carbon dioxide is seen as a credible climate problem or not, it just isn’t achievable in time.
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The goal of the U.S. government is to achieve net-zero carbon emissions by 2050, per the Paris agreement, says the Washington Examiner.

A three-step analysis establishes this as an impossible goal.

Three possible alternatives — wind, nuclear power, and utility photovoltaic solar (PV) — are analyzed separately in a three-step process to determine the amount of new capacity needed for any of them to meet net-zero carbon by 2050.

The same process then is used to determine whether any combination of the three can achieve the goal.


But the usual cherrypicking of weather events, which proves nothing, will no doubt continue in attempts to blame humans.
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A systematic review of climate trends and observational data by an eminent climate scientist has found no evidence to support the claim of a climate crisis, says The Global Warming Policy Foundation.

Ole Humlum: State of the Climate 2021 (pdf)

The State of the Climate 2021 – The Global Warming Policy Foundation

When observations show modellers ‘the opposite of what their best computer model simulations say should be happening with human-caused climate change’, it’s surely time to revisit their assumptions. Meanwhile, much head-scratching.
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Something weird is up with La Nina, the natural but potent weather event linked to more drought and wildfires in the western United States and more Atlantic hurricanes, says

It’s becoming the nation’s unwanted weather guest and meteorologists said the West’s megadrought won’t go away until La Nina does.

The current double-dip La Nina set a record for strength last month and is forecast to likely be around for a rare but not quite unprecedented third straight winter. And it’s not just this one.


Image credit:

Unusually, this is the third year in a row under La Niña.
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La Niña conditions and warm ocean temperatures have set the stage for another busy tropical storm year, says Eos.

If forecasts are correct, this season will mark the seventh consecutive above-normal hurricane season for the Atlantic.

NOAA forecasts out today predict a 65% chance of an above-average season, a 25% chance of a normal season, and a 10% chance of a below-normal season. The ranges account for uncertainty in the data and models of NOAA’s Climate Prediction Center.


I’m delighted Ned Nikolov and Karl Zeller have chosen the Talkshop as the venue for the publication of this new open peer review paper on climate sensitivity. Scientific advance at the cutting edge has always been the most important aim of this blog, and I think this paper truly is an advance in our understanding of the climate system and the factors which support and modulate surface temperature on Earth and other rocky planets. 

The paper is mathematically rigorous, but is also accessible to everyone, thanks to Ned and Karl’s exemplary effort to fully explain their concepts and definitions in terms which can be understood by any interested reader who has some familiarity with the climate debate. Building on the bedrock of their 2014 and 2017 papers, this new work extends the applicability and validates the postulates of those previous papers by examining the causes of variability in planetary surface temperature and incorporating the previous findings in quantifying and deriving equations to model them. They find that Earth is sensitive to changes in cloud cover, which affects the amount of solar shortwave radiation reaching the surface, but not very sensitive to changes in Total Solar Irradiance arriving at the top of the atmosphere. They also find that the sensitivity to changes in CO2 levels has been heavily overestimated by current climate models. They show that a doubling of atmospheric CO2 concentration from 280 ppm to 560 ppm will cause an undetectable global warming of 0.004K.

A PDF of the paper can be downloaded here:  ECS_Universal_Equations.


Exact Formulas for Estimating the Equilibrium Climate Sensitivity of Rocky Planets & Moons to Total Solar Irradiance, Absorbed Shortwave Radiation, Planetary Albedo and Surface Atmospheric Pressure.
Ned Nikolov, Ph.D. and Karl Zeller, Ph.D.
April, 2022

1. Introduction

The term “Equilibrium Climate Sensitivity” (ECS) has become a synonym for the steady-state response of global surface temperature to a modeled long-wave radiative forcing caused by a doubling of atmospheric CO2 concentration with respect to an assumed pre-industrial level of 280 ppm. According to climate models based on the Greenhouse theory, an increase of atmospheric CO2 from 280 ppm to 560 ppm would produce a net radiative forcing (i.e. an atmospheric radiant-heat trapping) of 3.74 W m-2 (Gregory et al. 2004) resulting in a global surface warming between 2.5 K and 4.0 K with a central estimate of 3.0 K according to IPCC AR6 (see p. 11 in Climate Change 2021: The Physical Science Basis. Summary for Policymakers). This implies an average unit ECS of 3.0/3.74 = 0.8 K / (W m-2) with a range of 0.67 ≤ ECS ≤ 1.07 K / (W m-2). Contemporary climate science and IPCC Assessment Reports do not discuss global temperature sensitivities to changes in cloud albedo, absorbed solar radiation or total surface atmospheric pressure. Consequently, no equations have been derived/proposed thus far to calculate these sensitivities. The reason for such an omission is the implicit assumption made by IPCC based on the 19th-Century Greenhouse theory (Arrhenius 1896) that the observed warming during most of the 20th Century and especially over the past 40 years was chiefly caused by an increase of industrial CO2 emissions, which are believed to trap outgoing long-wave radiation in the Earth’s troposphere and reduce the rate of surface infrared cooling to Space.

However, a plethora of studies published during the past 15 years have shown through both satellite and surface observations that the absorption of solar radiation by the Earth-atmosphere system has increased significantly since 1982 due to a decreased cloud cover/albedo, a phenomenon often referred to as “global brightening” (e.g. Goode & Pallé 2007; Wild 2009; Herman et al. 2013; Stanhill et al. 2014; Hofer et al. 2017; Pfeifroth et al. 2018; Pokrovsky 2019;  Delgado-Bonal et al. 2020; Dübal & Vahrenholt 2021;  Yuan et al. 2021). This implies a global warming driven by a rising surface solar radiation rather than CO2.


Irish farm [image credit:]

Yet another climate folly induced by arbitrary targets. As usual they conveniently forget that most of their so-called ‘greenhouse’ gas is water vapour, which depends on the temperature. There’s so little methane in the atmosphere it has to be measured in parts per billion, but alarmism has taken over.
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In order for legally binding climate targets to be met, and agricultural subsidies to be granted, the number of livestock on the island needs to go down says Buzz.

The size of herds both North and South of the border is being scrutinised. It is likely both cow and sheep herds on both sides of the border will need to be cut – and soon.



Planetary temperature conundrums are not confined to Earth. Nobody foresaw the observed changes that occurred on Neptune between 2018 and 2020.
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An international team of astronomers have used ground-based telescopes, including the European Southern Observatory’s Very Large Telescope (ESO’s VLT), to track Neptune’s atmospheric temperatures over a 17-year period,

They found a surprising drop in Neptune’s global temperatures followed by a dramatic warming at its south pole.

“This change was unexpected,” says Michael Roman, a postdoctoral research associate at the University of Leicester, UK, and lead author of the study published today in The Planetary Science Journal. “Since we have been observing Neptune during its early southern summer, we expected temperatures to be slowly growing warmer, not colder.”


It’s better than we thought! Another setback for alarmists as modern UK rainfall isn’t living up to the climate hype after all. Will the ‘adjusters’ be called in?
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Newly transcribed data from the Victorian era has ‘smashed’ current rainfall records, report experts at the Met Office and the University of Reading.

Heavy rainfall may be associated with flash floods and the modern-day battle against climate change, says the Daily Mail.

But a new study led by the Met Office and the University of Reading shows it’s nothing new – in fact, newly recovered data from the Victorian era has ‘smashed’ current rainfall records.


The short answer to the climate question.

Science Matters

This post is about proving that CO2 changes in response to temperature changes, not the other way around, as is often claimed.  In order to do  that we need two datasets: one for measurements of changes in atmospheric CO2 concentrations over time and one for estimates of Global Mean Temperature changes over time.

Climate science is unsettling because past data are not fixed, but change later on.  I ran into this previously and now again in 2021 and 2022 when I set out to update an analysis done in 2014 by Jeremy Shiers (discussed in a previous post reprinted at the end).  Jeremy provided a spreadsheet in his essay Murray Salby Showed CO2 Follows Temperature Now You Can Too posted in January 2014. I downloaded his spreadsheet intending to bring the analysis up to the present to see if the results hold up.  The two sources of data were:


View original post 1,362 more words

Where are existing climate-obsessed energy policies taking us? The drive toward renewable energy production in new building developments can make microgrids susceptible to outages, this research article suggests. Batteries are not a solution, they say.
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The abstract of the article says:

Contemporary proliferation of renewable power generation is causing an overhaul in the topology, composition, and dynamics of electrical grids. These low-output, intermittent generators are widely distributed throughout the grid, including at the household level. It is critical for the function of modern power infrastructure to understand how this increasingly distributed layout affects network stability and resilience. This paper uses dynamical models, household power consumption, and photovoltaic generation data to show how these characteristics vary with the level of distribution. It is shown that resilience exhibits daily oscillations as the grid’s effective structure and the power demand fluctuate. This can lead to a substantial decrease in grid resilience, explained by periods of highly clustered generator output. Moreover, the addition of batteries, while enabling consumer self-sufficiency, fails to ameliorate these problems. The methodology identifies a grid’s susceptibility to disruption resulting from its network structure and modes of operation.’

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Full research article here: Science Advances, March 2022

BMW i3 electric car plus battery pack [image credit:]

If they’re already struggling to get enough lithium when EVs have only a small market presence, where are the supplies for the massive planned EV expansion supposed to come from, and at what cost in already expensive machines? Mining operations don’t spring up overnight, and time is short if supply is to meet the expected demand from the manufacturers.
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As the price of lithium has skyrocketed over 400% in the past year, the demand for lithium-ion batteries appears more intense than ever, says AG Metal Miner @

Lithium has earned the ‘white petroleum’ label due to its dramatic need for supplies from the rise of battery giga-factories, electric vehicles, powerwalls and energy storage businesses.

Battery makers including Tesla, Panasonic and LG Chem, have to budget for the rising cost of lithium. Batteries that go into electric cars require lithium. More battery makers will need to expand production to keep up with demand from electric cars.