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Table 2.

Estimated regression coefficients with the derived metrics. Results are shown for the below-99th citation data. The adjusted R-squared was higher than 0.99 for all disciplines. In addition to the estimated regression coefficients (left half), the peak value (ûp), the typical time interval of the growth phase (δ1), and the obsolescence phase (δ2), the internal obsolescence rate (𝒮 = δ1/δ2) and the retention rate (𝓡 = Bˆ/ûp) (right half) are also shown by discipline. Values of λˆ larger than 10 are displayed as “≫ 1.” (Results regarding the lower percentile data are presented in Supplementary Table S4).

CategoryAˆμˆσˆBˆλˆûpδ1δ2𝒮𝓡
astro-ph 2.19 1.61 0.817 0.158 1.21 0.450 2.56 2.43 1.05 0.351 
comp-sci 1.14 × 10 1.56 0.741 0.379 ≫ 1 2.08 2.74 2.00 1.37 0.182 
cond-mat 4.60 1.83 0.802 0.279 0.916 0.779 3.26 2.95 1.11 0.359 
hep 3.71 1.37 0.725 0.277 ≫ 1 0.953 2.32 1.61 1.45 0.290 
math 6.25 1.91 0.927 0.452 0.439 0.918 2.85 3.88 0.735 0.493 
oth-phys 5.04 1.76 0.805 0.259 ≫ 1 0.855 3.03 2.77 1.10 0.303 
CategoryAˆμˆσˆBˆλˆûpδ1δ2𝒮𝓡
astro-ph 2.19 1.61 0.817 0.158 1.21 0.450 2.56 2.43 1.05 0.351 
comp-sci 1.14 × 10 1.56 0.741 0.379 ≫ 1 2.08 2.74 2.00 1.37 0.182 
cond-mat 4.60 1.83 0.802 0.279 0.916 0.779 3.26 2.95 1.11 0.359 
hep 3.71 1.37 0.725 0.277 ≫ 1 0.953 2.32 1.61 1.45 0.290 
math 6.25 1.91 0.927 0.452 0.439 0.918 2.85 3.88 0.735 0.493 
oth-phys 5.04 1.76 0.805 0.259 ≫ 1 0.855 3.03 2.77 1.10 0.303 
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