2023
DOI: 10.1038/s41559-023-02087-9
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Reply to: Capturing stochasticity properly is key to understanding the nuances of the Living Planet Index

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“…The symmetry on logarithmic scale makes a good sense, as population increase and decrease are essentially multiplicative processes, while symmetric changes in the arithmetic scale imply that the multiplicative increase of populations is lower than the multiplicative decrease (see also refs. 19 , 20 ). The LPI thus properly reflects symmetric multiplicative population changes, the decreasing LPI indicating asymmetry in this multiplicative population growth towards higher multiplicative decreases than increases.…”
Section: Resultsmentioning
confidence: 99%
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“…The symmetry on logarithmic scale makes a good sense, as population increase and decrease are essentially multiplicative processes, while symmetric changes in the arithmetic scale imply that the multiplicative increase of populations is lower than the multiplicative decrease (see also refs. 19 , 20 ). The LPI thus properly reflects symmetric multiplicative population changes, the decreasing LPI indicating asymmetry in this multiplicative population growth towards higher multiplicative decreases than increases.…”
Section: Resultsmentioning
confidence: 99%
“…However, one methodological factor may cause these time series to bias the LPI towards overall decrease. Population dynamics are affected by variability arising from demographic, environmental, and sampling stochasticity, which introduces uncertainty into the LPI 15 , 20 . To mitigate this uncertainty, a smoothing procedure based on the GAM method is applied during the index calculation.…”
Section: Resultsmentioning
confidence: 99%