This methodology sets out how Integrum ESG calculates a temperature score for every uploaded portfolio: the Implied Temperature Rise (ITR), in degrees Celsius, that would follow if the portfolio represented the global economy. It follows the open-source Cambridge University model, labels each result against the Paris Agreement goals and lets users enter their own emissions reduction rates for any company to compare with the steady-state result.
Overview
What the temperature score shows
Alongside the ESG risks and footprints of any uploaded portfolio, we calculate a portfolio temperature score. It is the level of global warming, in degrees Celsius, that would result if the portfolio represented the global economy: if every company in the world emitted in the same way, relative to its revenue, as the companies the portfolio holds.
The temperature score is one of the additional metrics used in TCFD reporting to show which warming scenario a fund is aligned to. It is reported alongside carbon footprint, weighted average carbon intensity and Climate VaR, set out in our TCFD Reporting and Climate VaR Methodology.
Method
The four stages
The temperature score follows the Cambridge University model set out in Understanding the Climate Performance of Investment Funds (Cambridge Institute for Sustainability Leadership, July 2021). The calculation has four stages:
- Carbon Emissions Revenue Intensity (CERI) We calculate the portfolio’s emissions relative to the revenue of the companies it holds.
- Equivalent Global Emissions (EGE) The CERI is scaled to the global economy, to show what global emissions would be if the portfolio represented it.
- Cumulative CO2 Emissions (CCE) Total emissions are projected to 2100. This is the stage where any emissions reduction rates entered by the user are applied.
- Implied Temperature Rise (ITR) The cumulative emissions are converted into a temperature rise using the relationship between cumulative emissions and warming published by the IPCC. The result is shown as the portfolio’s temperature score.
Formula
The formula
| Term | Definition |
|---|---|
| Carbon Intensity | The company’s latest annual emissions per $1M of enterprise value, or market capitalisation |
| Revenue Intensity | Annual revenue divided by enterprise value, or market capitalisation |
| Global GDP | A fixed global GDP assumption, used to scale the portfolio to the global economy |
| Years to 2100 | The number of years from the current year to 2100 |
| α, β and θ | Constants from the Cambridge University model |
Carbon intensity divided by revenue intensity gives emissions per unit of revenue, the CERI. Multiplying by global GDP gives the Equivalent Global Emissions, multiplying by the years to 2100 gives cumulative emissions and the constants convert those into degrees of warming.
For funds, holdings are looked through and reweighted before the calculation. If a company makes up 20% of a fund and that fund makes up 10% of a portfolio, the company carries a weight of 2%, as set out in our Fund ESG Ratings Methodology.
Labels
Paris alignment labels
The Paris Agreement commits its signatories to limiting global warming to well below 2°C above pre-industrial levels, and preferably to 1.5°C. Each temperature score carries one of three labels:
| Temperature score | Label |
|---|---|
| 1.5°C or below | Paris Aligned |
| Above 1.5°C, up to 2°C | Approaching Paris Aligned |
| Above 2°C | Not Paris Aligned |
Holdings
Holding contributions
The Temperature Rise Calculation table shows every holding’s contribution, so users can scroll across the portfolio and see which companies push the score up most. For each holding it shows:
- total holding emissions, in tCO2e
- holding emissions relative to value, in tCO2e per $1M
- the holding’s weight in the portfolio
- the carbon footprint from that holding, in tCO2e per $1M
At portfolio level, the table shows the portfolio CERI, the percentage of the portfolio with numbers not disclosed, the temperature score, the temperature score at steady-state emissions and the temperature score before any gross-up for non-disclosure. Our Portfolio Footprint Calculator Methodology explains the footprint calculation behind each holding’s contribution.
Customisation
Entering emissions reduction rates
By default, the temperature score assumes each company’s emissions stay at their current level: the steady-state result. Users can instead enter an estimated year-on-year emissions reduction rate (ERR) for any company, reflecting its targets or the firm’s own projections. The rate is applied when emissions are projected to 2100, and the portfolio shows the weighted average ERR across its holdings.
ERRs are saved to the user’s profile, so they are available in any customised profile but not in the default Uncustomised profile. The steady-state temperature score remains visible alongside, so the effect of the user’s own projections can always be compared with the default result.
Worked example
Worked example
| Illustrative 267-holding portfolio | Result |
|---|---|
| Temperature score at steady-state emissions | 1.26°C (Paris Aligned) |
| Temperature score after the user enters reduction rates | 1.24°C (Paris Aligned) |
| Portfolio with numbers not disclosed | 0.18% |
The portfolio’s steady-state score of 1.26°C sits within the Paris Aligned band. After the user enters reduction rates for some of its holdings, the temperature score falls to 1.24°C, with the steady-state result still shown for comparison.
FAQs
Frequently asked questions
What is a portfolio temperature score?
It is the Implied Temperature Rise, in degrees Celsius, that would follow if the portfolio represented the global economy, calculated using the Cambridge University model.
How is the Implied Temperature Rise calculated?
In four stages: the portfolio’s Carbon Emissions Revenue Intensity is calculated, scaled to Equivalent Global Emissions, projected to 2100 as Cumulative CO2 Emissions and converted into a temperature rise using the IPCC’s relationship between cumulative emissions and warming.
What does Paris Aligned mean?
A temperature score of 1.5°C or below is labelled Paris Aligned, between 1.5°C and 2°C Approaching Paris Aligned and above 2°C Not Paris Aligned.
Can I enter my own emissions projections?
Yes. Users can enter an estimated year-on-year emissions reduction rate for any company in a customised profile, and the temperature score is recalculated, with the steady-state result shown alongside.
Does the temperature score affect the ESG grade?
No. The temperature score and the ESG grade are independent measures. Emissions are one metric among many in the ESG grade, so the two can move in different directions.
Is the temperature score available to asset owners?
Yes. It is available to asset owners as well as asset managers, for any uploaded portfolio.
See the temperature score of your portfolios
Speak to our team to see the temperature score of your portfolios, the holdings driving it and how your own emissions projections change it.

