grundlagen:energiewirtschaft_und_oekologie:growth_discussion
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grundlagen:energiewirtschaft_und_oekologie:growth_discussion [2024/10/15 09:57] – yaling.hsiao@passiv.de | grundlagen:energiewirtschaft_und_oekologie:growth_discussion [2024/10/31 11:09] (aktuell) – [(2) The role of efficiency factors] 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 ==== | ||
- | |||
- | [{{ .: | ||
+ | ====(1) 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' | 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, | ||
+ | | ||
+ | This could not be transformed into exponential growth so quickly, even with enormous efforts. Even if some politicians like to promise that every now and then. Short-term "fires in the straw" are certainly possible - but this is usually at the expense of the subsequent time after the fire has flared up excessively. This may disappoint some - and perhaps some ' | ||
+ | |||
+ | Conclusion: Excessive growth expectations are an illusion. But also: There is no acute danger that ' | ||
+ | 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: | ||
+ | |||
+ | ====(2) 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:// | ||
- | - Yes, there has been **steady and sustained growth** | + | //How good is “good enough”?// \\ |
- | - But that was by no means exponential, | + | |
- | 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:// | + | Here we are in for the next surprise: This is a purely mathematical question. If a task is currently completed with a system of useful life $t_N$ and the growth is $p$((factor $(1+p)$ in the service quantity; e.g. $p=.5% , then +p= .025)) , then the new lifespan of new systems of this type only now needs to last more than $(1+p)%%\%%cdot t_N - t_N = p %%\%%cdot t_N$ longer; let's say the new lifetime is $(1+%%\%%epsilon)$ times $t_N$, then $(1+%%\%%epsilon)$ is a typical efficiency factor. The fact that it can be " |
- | ==== (3) 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 an annual factor |
- | \\ | + | |
- | {{ | + | |
- | \\ | + | |
- | $\; | + | |
- | \\ | + | |
- | 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 " | + | |
- | <WRAP box> In short: $q<1$ or **increase in efficiency greater than increase in demand** | + | ====(3) 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 ' | ||
+ | $1+q+q^2+q^3+...$ \\ \\ | ||
+ | a **finite value**. If you find the following box with the formulas too challenging, | ||
+ | {{ :grundlagen: | ||
+ | For this the notation with the sum sign $\sum$ has become common | ||
+ | $\; | ||
+ | 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, | ||
- | <WRAP lo> Of course it is clear to me that this does not suit any of the two " | ||
- | ==== (4) 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 " | ||
- | |{{.:spec_cars_germany.png? | + | <WRAP box> In short: $q<1$ or **increase in efficiency greater |
- | In fact, we have successfully realized $q<1$ in each of these two sectors for over a decade. That would then take around 30 (building) or 100 (car) years "alone" | + | <WRAP lo> Of course it is clear to me that this does not suit any of the two "camps": not the growth apologists, because they see everything below eternal exponential unlimited growth as unsexy; |
- | The rapid expansion of renewable energy is of course part of this: so that the falling demand curve and increasing renewable generation can meet, and not just in 2100((that would be too late)) | + | 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? | ||
+ | No! This is already in many applications common practice today((The problem is, it's not been followed consequently.)). There is already | ||
+ | Furthermore, | ||
- | <WRAP box lo>To come back to the introductory analysis | + | |{{: |
- | <WRAP box hi>What is important: **All efforts to improve energy and material efficiency!** | + | In fact, we have successfully realized $q<1$ in each of these two sectors for over a decade. That would then take around 30 (building) or 100 (car) years " |
- | Related: Find an analysis | + | The rapid expansion of renewable energy is of course part of this: so that the falling demand curve and increasing renewable generation can meet, and not just in 2100((that would be too late)) but around 2050((it is always better |
+ | To offer a little more positive perspective: | ||
- | ==== Sources ==== | + | <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 //without// the assumption that there is no such thing as long-term exponential growth; Even in (2) a constant percentage growth $p$ was still used. For (2) and (3) it only matters that the percentage efficiency gain $\epsilon$ is greater than this percentage growth $p$. However, the empirical finding that real GDP growth is not exponential but //linear// is practically relevant: Since the improvement in efficiency (at least for the next 1000 years or so) can correspond to the descending geometric sequence, it always catches up with any linear increase at some point. Real growth in GDP in Germany e.g. is currently on average around 1.25% per year. This is already intercepted with an $\epsilon$ of the same height (1.25%/a); We've already done better than that - and we //can/// always do it again: It's just a question of will. </ |
- | [Statista] Statistisches Bundesamt, documented | + | <WRAP box hi>What is important: **All efforts to improve energy and material efficiency!** This includes, among other things, thermal protection, heat recovery, heat pumps, low-flow shower heads, efficient electronics, |
+ | \\ | ||
- | ** | + | Related: Find an analysis to the so called " |
- | ** | ||
- | //// ** | ||
- | ** | ||
+ | ====Sources==== | ||
+ | [Statista] Statistisches Bundesamt, documented in ' |
grundlagen/energiewirtschaft_und_oekologie/growth_discussion.1728979035.txt.gz · Zuletzt geändert: von yaling.hsiao@passiv.de