grundlagen:energiewirtschaft_und_oekologie:growth_discussion
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grundlagen:energiewirtschaft_und_oekologie:growth_discussion [2023/12/14 12:51] – [(4) Is it all just theory?] wfeist | 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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- | =====About Growth===== | + | ===== About Growth ===== |
Most economists love growth: economic growth. Wealth must increase so that there is more to distribute, because people' | Most economists love growth: economic growth. Wealth must increase so that there is more to distribute, because people' | ||
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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: | ||
- | (1) 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.\\ |
- | (2) The role of efficiency factors (such as product lifespans)\\ | + | (2) The role of efficiency factors (such as product lifespans)\\ |
- | (3) Some elementary mathematics: | + | (3) Some elementary mathematics: |
- | (4) Is it all just theory? A few concrete implementation approaches; Viewed in light: There' | + | (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==== | ||
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//How good is “good enough”?// | //How good is “good enough”?// | ||
- | 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=$2.5% , then $1+p= $1.025 )), 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 " | + | 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 " |
$\; | $\; | ||
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First the facts: Let $q$ be a factor with an absolute value smaller than 1. Then the ' | First the facts: Let $q$ be a factor with an absolute value smaller than 1. Then the ' | ||
$1+q+q^2+q^3+...$ \\ \\ | $1+q+q^2+q^3+...$ \\ \\ | ||
- | a **finite value**. \\ \\ | + | 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: | For this the notation with the sum sign $\sum$ has become common in mathematics: | ||
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<WRAP lo> Of course it is clear to me that this does not suit any of the two " | <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 ' | + | 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?==== | ====(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 " | 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 //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. </ | <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. </ | ||
- | <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, | + | <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, |
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+ | Related: Find an analysis to the so called " | ||
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====Sources==== | ====Sources==== | ||
- | [Statista] Statistisches Bundesamt, | + | [Statista] Statistisches Bundesamt, |
grundlagen/energiewirtschaft_und_oekologie/growth_discussion.1702554696.txt.gz · Zuletzt geändert: von wfeist