basics:energy_and_ecology:about_growth
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basics:energy_and_ecology:about_growth [2024/10/31 10:41] – yaling.hsiao@passiv.de | basics:energy_and_ecology:about_growth [2024/10/31 11:14] (current) – yaling.hsiao@passiv.de | ||
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Here I will present a few points of view that point to a concrete solution to this dilemma. A solution that can be developed and implemented as a transformation in continuation of a process that is already underway. The analysis has several parts: | Here I will present a few points of view that point to a concrete solution to this dilemma. A solution that can be developed and implemented as a transformation in continuation of a process that is already underway. The analysis has several parts: | ||
- | ((As is always perceived with exponential growth: from a certain point onwards it looks like an explosion ". Meanwhile, in reality, it has always been exponential - but because the absolute values initially seemed small, no one cared at the beginning.)) The historical analysis: Even past growth has not been exponential at all over extended periods.\\ | + | (1) The historical analysis: Even past growth has not been exponential at all over extended periods.\\ |
- | ((Of course only if we do not fall victim to a hyper-hype of exaggerated, | + | (2) The role of efficiency factors (such as product lifespans)\\ |
- | ((it doesn' | + | (3) Some elementary mathematics: |
- | ((because it doesn' | + | (4) Is it all just theory? A few concrete implementation approaches; Viewed in light: There' |
- | ==== (1) The historical analysis: Even in the past growth has not been exponential over extended periods ==== | + | ==== The historical analysis: Even in the past growth has not been exponential over extended periods ==== |
- | [{{ : | + | [{{ : |
+ | Percentages are usually communicated regarding economic growth. That's easy to understand - and there' | ||
+ | - Yes, there has been **steady and sustained growth** - except for a few (well-known) short-term dips. | ||
+ | - But that was by no means exponential, | ||
- | Percentages are usually communicated regarding economic | + | This could not be transformed into exponential |
+ | |||
+ | Conclusion: Excessive growth expectations are an illusion. But also: There is no acute danger | ||
+ | If the whole thing continues to take place in an orderly (linear) manner, then there is time left to solve the problems((Not to be misunderstood: | ||
+ | |||
+ | |||
+ | |||
+ | ==== The role of efficiency factors ==== | ||
+ | |||
+ | Here I am only talking about material and energy efficiency, which is important in this context. The topic of energy efficiency is dealt with in detail on the Passipedia pages, e.g. [[https://passipedia.org/efficiency_now/the_big_picture|here]]. I will therefore take up the topic of material efficiency here. It is often argued that there is “not much to be had” because a certain minimum amount of material for a given task is obvious. Even that is by no means as clear as it seems at first glance. But there is another consideration: | ||
+ | |||
+ | //How good is “good enough”? //\\ | ||
+ | |||
+ | Here we are in for the next surprise: This is a purely mathematical | ||
+ | |||
+ | $\; | ||
+ | |||
+ | with an annual factor $q$ less than 1, i.e. decaying exponentially. This is the crucial point, as is clear from paragraph (3).\\ \\ | ||
- | - Yes, there has been **steady and sustained growth** | ||
- | - But that was by no means exponential, | ||
- | ====(2) The role of efficiency factors | + | ==== Some math: The sum of the infinite geometric series converges! |
+ | This is not new, almost everyone has had it at some point in school - of course not discussed with the practical implications that it has; As is often the case with mathematical findings: Many of them are much more relevant than the mostly dry mathematics lessons make it seem; This can be really exciting in many places!\\ \\ | ||
+ | First the facts: Let $q$ be a factor with an absolute value smaller than 1. Then the ' | ||
+ | $1+q+q^2+q^3+...$ \\ \\ | ||
- | Here I am only talking about material and energy efficiency, which is important in this context. The topic of energy efficiency is dealt with in detail on the Passipedia pages, e.g. [[https:// | ||
- | ====(3)Some math: The sum of the infinite | + | a **finite value**. If you find the following box with the formulas too challenging, |
+ | {{ : | ||
+ | For this the notation with the sum sign $\sum$ has become common in mathematics: | ||
+ | $\; | ||
+ | We have already given the solution for this sum, namely the reciprocal of $1-q$. For example, if $q$ is 90%, then $1-q=$0.1 and the infinite sum becomes 10 times the current production of the material in question; That's enough for " | ||
+ | Here, of course, " | ||
- | This is not new, almost everyone has had it at some point in school - of course not discussed with the practical implications that it has; As is often the case with mathematical findings: Many of them are much more relevant than the mostly dry mathematics lessons make it seem; This can be really exciting in many places! First the facts: Let $q$ be a factor with an absolute value smaller than 1. Then the ' | + | <WRAP box> In short: $q<1$ or **increase |
- | < | + | < |
- | <WRAP lo> Of course it is clear to me that this does not suit any of the two " | + | Let’s approach these questions with an open mind. It would not be the first time that a simple mathematical analysis actually solves a question that has long been considered ' |
- | ==== (4) Is it all just theory? ==== | + | ==== Is it all just theory? ==== |
- | No! This is already in many applications common practice today((The problem is, it's not been followed consequently.)) . There is already a lot available on Passipedia: namely, concrete descriptions of the measures that go down to the " | + | No! This is already in many applications common practice today((The problem is, it's not been followed consequently.)) . There is already a lot available on Passipedia: namely, concrete descriptions of the measures that go down to the " |
|{{: | |{{: | ||
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<WRAP box lo>To come back to the introductory analysis of the gross domestic product, which in reality only grows linearly (the diagram under (1)): Anyone who has followed and recalculated (2) and (3) will find that both will still hold // | <WRAP box lo>To come back to the introductory analysis of the gross domestic product, which in reality only grows linearly (the diagram under (1)): Anyone who has followed and recalculated (2) and (3) will find that both will still hold // | ||
- | <WRAP box hi>What is important: **All efforts to improve energy and material efficiency!** | + | <WRAP box hi>What is important: **All efforts to improve energy and material efficiency!** |
Related: Find an analysis to the so called " | Related: Find an analysis to the so called " |
basics/energy_and_ecology/about_growth.1730367693.txt.gz · Last modified: by yaling.hsiao@passiv.de