Table 2.
Summary of the equations used in the model.
| System | Equations used in the match-mismatch model | Ref |
|---|---|---|
| Arcto-boreal biome | mplk,t = (176.6 – 17.55 · TEMPSPR,t)/365 · 12 + 1.45 | a,† |
| Nplk,t = exp(0.02 + 0.13 · NAOt + 0.58 · TEMPΔSUM,t) − 1 | b | |
| mfish,t = Spawning + 1/(0.0092 + 0.0051 · TEMPspawn t)/30 + (21.25 · exp (−0.083 · TEMPhatch t)/30 | c | |
| Temperate biome | mplk,t = (602.74 + 2.34 · NAOt − 24.87 · TEMPBB t)/365 · 12 | † |
| Nplk,t = 0.19 · TEMPBB t − 0.01 · NAOt − 1.84 | ‡ | |
| mfish,t = Spawning + (661.1 · TEMPspawn t−2.08)/30 + 21.25 · exp (−0.083 · TEMPhatch t)/30 + 0.56 | !! |
Subscript t refers to year.
TEMPspawn = mean temperature during the 2 months following Spawning date. TEMPhatch = mean temperature during the 2 months following Hatching date.
aEllertsen et al. 198935, Assuming 1990 was a good year and represented a full match situation we adjusted mplk by adding 1.13 in order to obtain mfish,1990 − mplk,1990 = 0.
bStige et al. 201445.
cDuration from spawning to hatching = 1/(0.0092 + 0.0051 · TEMPspawn) in days48, and duration from hatching to full yolk resorption = 21.25 · exp (−0.083 · TEMPhatch) in days46. Both are divided by 30 to get the value in months.
†Divided by 365 days and multiplied by 12 to get m in the scale of months.
‡Model for Centropages typicus abundance in the Bay of Biscay between 1972–2012 (see Supplementary methods).
!!Duration from spawning to hatching = 661.1 · TEMPspawn−2.08 in days46, and duration from hatching to full yolk resorption = 21.25 · exp (−0.083 · TEMPhatch) in days46. Both are divided by 30 to get the value in months. Assuming 2011 was a good year and represented a full match situation we adjusted mfish by adding 0.56 in order to obtain mfish,2011 − mplk,2011 = 0.