Document (#17854)

Author

Romanov, A.K.
Terekhov, A.I.

Title

¬The mathematical model of productivity and age structured scientific community evolution

Source

Scientometrics. 39(1997) no.1, S.3-17

Year

1997

Abstract

The productivity factor is very important in the mathematical simulation of scientific community evolution. Includes productivity as well as age in the individual state space and derives the main dynamic equation which takes into account the stochastic fluctuations of scientific community members' productivity and some modifications of the Fokker Planck equation. Suggests an approximation method for the evolution model with the aid of which the computational experiement is carried out. Discusses experimental results and possible ways for improvement and extension of the model

Theme

Informetrie

Similar documents (content)

1. Zhang, H.; Qiu, B.; Ivanova, K.; Giles, C.L.; Foley, H.C.; Yen, J.: Locality and attachedness-based temporal social network growth dynamics analysis : a case study of evolving nanotechnology scientific collaboration networks (2010) 0.17

   0.16585174 = sum of:
     0.16585174 = product of:
       0.46069926 = sum of:
         0.042914797 = weight(abstract_txt:dynamic in 3455) [ClassicSimilarity], result of:
           0.042914797 = score(doc=3455,freq=2.0), product of:
             0.09616811 = queryWeight, product of:
               1.0630404 = boost
               5.7699614 = idf(docFreq=374, maxDocs=44218)
               0.01567864 = queryNorm
             0.4462477 = fieldWeight in 3455, product of:
               1.4142135 = tf(freq=2.0), with freq of:
                 2.0 = termFreq=2.0
               5.7699614 = idf(docFreq=374, maxDocs=44218)
               0.0546875 = fieldNorm(doc=3455)
         0.03086138 = weight(abstract_txt:factor in 3455) [ClassicSimilarity], result of:
           0.03086138 = score(doc=3455,freq=1.0), product of:
             0.0972553 = queryWeight, product of:
               1.0690324 = boost
               5.8024845 = idf(docFreq=362, maxDocs=44218)
               0.01567864 = queryNorm
             0.3173234 = fieldWeight in 3455, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               5.8024845 = idf(docFreq=362, maxDocs=44218)
               0.0546875 = fieldNorm(doc=3455)
         0.007839443 = weight(abstract_txt:which in 3455) [ClassicSimilarity], result of:
           0.007839443 = score(doc=3455,freq=1.0), product of:
             0.049147695 = queryWeight, product of:
               1.0747336 = boost
               2.9167147 = idf(docFreq=6503, maxDocs=44218)
               0.01567864 = queryNorm
             0.15950784 = fieldWeight in 3455, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               2.9167147 = idf(docFreq=6503, maxDocs=44218)
               0.0546875 = fieldNorm(doc=3455)
         0.040626686 = weight(abstract_txt:computational in 3455) [ClassicSimilarity], result of:
           0.040626686 = score(doc=3455,freq=1.0), product of:
             0.116818234 = queryWeight, product of:
               1.1716275 = boost
               6.3593493 = idf(docFreq=207, maxDocs=44218)
               0.01567864 = queryNorm
             0.34777692 = fieldWeight in 3455, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               6.3593493 = idf(docFreq=207, maxDocs=44218)
               0.0546875 = fieldNorm(doc=3455)
         0.08487133 = weight(abstract_txt:simulation in 3455) [ClassicSimilarity], result of:
           0.08487133 = score(doc=3455,freq=2.0), product of:
             0.15151899 = queryWeight, product of:
               1.3343439 = boost
               7.24254 = idf(docFreq=85, maxDocs=44218)
               0.01567864 = queryNorm
             0.5601366 = fieldWeight in 3455, product of:
               1.4142135 = tf(freq=2.0), with freq of:
                 2.0 = termFreq=2.0
               7.24254 = idf(docFreq=85, maxDocs=44218)
               0.0546875 = fieldNorm(doc=3455)
         0.067122474 = weight(abstract_txt:model in 3455) [ClassicSimilarity], result of:
           0.067122474 = score(doc=3455,freq=5.0), product of:
             0.13769941 = queryWeight, product of:
               2.2032354 = boost
               3.986234 = idf(docFreq=2231, maxDocs=44218)
               0.01567864 = queryNorm
             0.4874565 = fieldWeight in 3455, product of:
               2.236068 = tf(freq=5.0), with freq of:
                 5.0 = termFreq=5.0
               3.986234 = idf(docFreq=2231, maxDocs=44218)
               0.0546875 = fieldNorm(doc=3455)
         0.047390416 = weight(abstract_txt:scientific in 3455) [ClassicSimilarity], result of:
           0.047390416 = score(doc=3455,freq=1.0), product of:
             0.18669692 = queryWeight, product of:
               2.5654492 = boost
               4.6415744 = idf(docFreq=1158, maxDocs=44218)
               0.01567864 = queryNorm
             0.2538361 = fieldWeight in 3455, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               4.6415744 = idf(docFreq=1158, maxDocs=44218)
               0.0546875 = fieldNorm(doc=3455)
         0.050941575 = weight(abstract_txt:community in 3455) [ClassicSimilarity], result of:
           0.050941575 = score(doc=3455,freq=1.0), product of:
             0.1959108 = queryWeight, product of:
               2.6279922 = boost
               4.7547307 = idf(docFreq=1034, maxDocs=44218)
               0.01567864 = queryNorm
             0.26002434 = fieldWeight in 3455, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               4.7547307 = idf(docFreq=1034, maxDocs=44218)
               0.0546875 = fieldNorm(doc=3455)
         0.088131174 = weight(abstract_txt:evolution in 3455) [ClassicSimilarity], result of:
           0.088131174 = score(doc=3455,freq=1.0), product of:
             0.28233397 = queryWeight, product of:
               3.1548336 = boost
               5.707926 = idf(docFreq=398, maxDocs=44218)
               0.01567864 = queryNorm
             0.3121522 = fieldWeight in 3455, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               5.707926 = idf(docFreq=398, maxDocs=44218)
               0.0546875 = fieldNorm(doc=3455)
       0.36 = coord(9/25)
   

2. Huber, J.C.: ¬A new method for analyzing scientific productivity (2001) 0.12

   0.11852892 = sum of:
     0.11852892 = product of:
       0.74080575 = sum of:
         0.13416454 = weight(abstract_txt:fluctuations in 6845) [ClassicSimilarity], result of:
           0.13416454 = score(doc=6845,freq=1.0), product of:
             0.23699194 = queryWeight, product of:
               1.6687875 = boost
               9.05783 = idf(docFreq=13, maxDocs=44218)
               0.01567864 = queryNorm
             0.56611437 = fieldWeight in 6845, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               9.05783 = idf(docFreq=13, maxDocs=44218)
               0.0625 = fieldNorm(doc=6845)
         0.092442416 = weight(abstract_txt:mathematical in 6845) [ClassicSimilarity], result of:
           0.092442416 = score(doc=6845,freq=1.0), product of:
             0.23293385 = queryWeight, product of:
               2.3397288 = boost
               6.3497796 = idf(docFreq=209, maxDocs=44218)
               0.01567864 = queryNorm
             0.39686123 = fieldWeight in 6845, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               6.3497796 = idf(docFreq=209, maxDocs=44218)
               0.0625 = fieldNorm(doc=6845)
         0.054160476 = weight(abstract_txt:scientific in 6845) [ClassicSimilarity], result of:
           0.054160476 = score(doc=6845,freq=1.0), product of:
             0.18669692 = queryWeight, product of:
               2.5654492 = boost
               4.6415744 = idf(docFreq=1158, maxDocs=44218)
               0.01567864 = queryNorm
             0.2900984 = fieldWeight in 6845, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               4.6415744 = idf(docFreq=1158, maxDocs=44218)
               0.0625 = fieldNorm(doc=6845)
         0.46003827 = weight(abstract_txt:productivity in 6845) [ClassicSimilarity], result of:
           0.46003827 = score(doc=6845,freq=4.0), product of:
             0.5388953 = queryWeight, product of:
               5.0328784 = boost
               6.829353 = idf(docFreq=129, maxDocs=44218)
               0.01567864 = queryNorm
             0.8536691 = fieldWeight in 6845, product of:
               2.0 = tf(freq=4.0), with freq of:
                 4.0 = termFreq=4.0
               6.829353 = idf(docFreq=129, maxDocs=44218)
               0.0625 = fieldNorm(doc=6845)
       0.16 = coord(4/25)
   

3. Bookstein, A.; Moed, H.; Yitzahki, M.: Measures of international collaboration in scientific literature : part I (2006) 0.11

   0.10796279 = sum of:
     0.10796279 = product of:
       0.67476743 = sum of:
         0.015678886 = weight(abstract_txt:which in 985) [ClassicSimilarity], result of:
           0.015678886 = score(doc=985,freq=1.0), product of:
             0.049147695 = queryWeight, product of:
               1.0747336 = boost
               2.9167147 = idf(docFreq=6503, maxDocs=44218)
               0.01567864 = queryNorm
             0.31901568 = fieldWeight in 985, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               2.9167147 = idf(docFreq=6503, maxDocs=44218)
               0.109375 = fieldNorm(doc=985)
         0.16177422 = weight(abstract_txt:mathematical in 985) [ClassicSimilarity], result of:
           0.16177422 = score(doc=985,freq=1.0), product of:
             0.23293385 = queryWeight, product of:
               2.3397288 = boost
               6.3497796 = idf(docFreq=209, maxDocs=44218)
               0.01567864 = queryNorm
             0.6945071 = fieldWeight in 985, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               6.3497796 = idf(docFreq=209, maxDocs=44218)
               0.109375 = fieldNorm(doc=985)
         0.09478083 = weight(abstract_txt:scientific in 985) [ClassicSimilarity], result of:
           0.09478083 = score(doc=985,freq=1.0), product of:
             0.18669692 = queryWeight, product of:
               2.5654492 = boost
               4.6415744 = idf(docFreq=1158, maxDocs=44218)
               0.01567864 = queryNorm
             0.5076722 = fieldWeight in 985, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               4.6415744 = idf(docFreq=1158, maxDocs=44218)
               0.109375 = fieldNorm(doc=985)
         0.4025335 = weight(abstract_txt:productivity in 985) [ClassicSimilarity], result of:
           0.4025335 = score(doc=985,freq=1.0), product of:
             0.5388953 = queryWeight, product of:
               5.0328784 = boost
               6.829353 = idf(docFreq=129, maxDocs=44218)
               0.01567864 = queryNorm
             0.74696046 = fieldWeight in 985, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               6.829353 = idf(docFreq=129, maxDocs=44218)
               0.109375 = fieldNorm(doc=985)
       0.16 = coord(4/25)
   

4. Kurtz, M.J.; Eichhorn, G.; Accomazzi, A.; Grant, C.; Demleitner, D.; Murray, S.S.; Martimbeau, N.; Elwell, B.: ¬The bibliometric properties of article readership information (2005) 0.10

   0.1026084 = sum of:
     0.1026084 = product of:
       0.513042 = sum of:
         0.025260543 = weight(abstract_txt:account in 3307) [ClassicSimilarity], result of:
           0.025260543 = score(doc=3307,freq=1.0), product of:
             0.08510038 = queryWeight, product of:
               5.427791 = idf(docFreq=527, maxDocs=44218)
               0.01567864 = queryNorm
             0.29683232 = fieldWeight in 3307, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               5.427791 = idf(docFreq=527, maxDocs=44218)
               0.0546875 = fieldNorm(doc=3307)
         0.007839443 = weight(abstract_txt:which in 3307) [ClassicSimilarity], result of:
           0.007839443 = score(doc=3307,freq=1.0), product of:
             0.049147695 = queryWeight, product of:
               1.0747336 = boost
               2.9167147 = idf(docFreq=6503, maxDocs=44218)
               0.01567864 = queryNorm
             0.15950784 = fieldWeight in 3307, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               2.9167147 = idf(docFreq=6503, maxDocs=44218)
               0.0546875 = fieldNorm(doc=3307)
         0.03001808 = weight(abstract_txt:model in 3307) [ClassicSimilarity], result of:
           0.03001808 = score(doc=3307,freq=1.0), product of:
             0.13769941 = queryWeight, product of:
               2.2032354 = boost
               3.986234 = idf(docFreq=2231, maxDocs=44218)
               0.01567864 = queryNorm
             0.21799716 = fieldWeight in 3307, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               3.986234 = idf(docFreq=2231, maxDocs=44218)
               0.0546875 = fieldNorm(doc=3307)
         0.047390416 = weight(abstract_txt:scientific in 3307) [ClassicSimilarity], result of:
           0.047390416 = score(doc=3307,freq=1.0), product of:
             0.18669692 = queryWeight, product of:
               2.5654492 = boost
               4.6415744 = idf(docFreq=1158, maxDocs=44218)
               0.01567864 = queryNorm
             0.2538361 = fieldWeight in 3307, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               4.6415744 = idf(docFreq=1158, maxDocs=44218)
               0.0546875 = fieldNorm(doc=3307)
         0.4025335 = weight(abstract_txt:productivity in 3307) [ClassicSimilarity], result of:
           0.4025335 = score(doc=3307,freq=4.0), product of:
             0.5388953 = queryWeight, product of:
               5.0328784 = boost
               6.829353 = idf(docFreq=129, maxDocs=44218)
               0.01567864 = queryNorm
             0.74696046 = fieldWeight in 3307, product of:
               2.0 = tf(freq=4.0), with freq of:
                 4.0 = termFreq=4.0
               6.829353 = idf(docFreq=129, maxDocs=44218)
               0.0546875 = fieldNorm(doc=3307)
       0.2 = coord(5/25)
   

5. Antonakis, J.; Lalive, R.: Quantifying scholarly impact : IQp versus the Hirsch h (2008) 0.10

   0.101560846 = sum of:
     0.101560846 = product of:
       0.5078042 = sum of:
         0.028869193 = weight(abstract_txt:account in 1722) [ClassicSimilarity], result of:
           0.028869193 = score(doc=1722,freq=1.0), product of:
             0.08510038 = queryWeight, product of:
               5.427791 = idf(docFreq=527, maxDocs=44218)
               0.01567864 = queryNorm
             0.33923694 = fieldWeight in 1722, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               5.427791 = idf(docFreq=527, maxDocs=44218)
               0.0625 = fieldNorm(doc=1722)
         0.037036866 = weight(abstract_txt:members in 1722) [ClassicSimilarity], result of:
           0.037036866 = score(doc=1722,freq=1.0), product of:
             0.10047652 = queryWeight, product of:
               1.0865921 = boost
               5.8977947 = idf(docFreq=329, maxDocs=44218)
               0.01567864 = queryNorm
             0.36861217 = fieldWeight in 1722, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               5.8977947 = idf(docFreq=329, maxDocs=44218)
               0.0625 = fieldNorm(doc=1722)
         0.040007513 = weight(abstract_txt:takes in 1722) [ClassicSimilarity], result of:
           0.040007513 = score(doc=1722,freq=1.0), product of:
             0.10577981 = queryWeight, product of:
               1.1148993 = boost
               6.0514402 = idf(docFreq=282, maxDocs=44218)
               0.01567864 = queryNorm
             0.37821501 = fieldWeight in 1722, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               6.0514402 = idf(docFreq=282, maxDocs=44218)
               0.0625 = fieldNorm(doc=1722)
         0.07659448 = weight(abstract_txt:scientific in 1722) [ClassicSimilarity], result of:
           0.07659448 = score(doc=1722,freq=2.0), product of:
             0.18669692 = queryWeight, product of:
               2.5654492 = boost
               4.6415744 = idf(docFreq=1158, maxDocs=44218)
               0.01567864 = queryNorm
             0.4102611 = fieldWeight in 1722, product of:
               1.4142135 = tf(freq=2.0), with freq of:
                 2.0 = termFreq=2.0
               4.6415744 = idf(docFreq=1158, maxDocs=44218)
               0.0625 = fieldNorm(doc=1722)
         0.32529616 = weight(abstract_txt:productivity in 1722) [ClassicSimilarity], result of:
           0.32529616 = score(doc=1722,freq=2.0), product of:
             0.5388953 = queryWeight, product of:
               5.0328784 = boost
               6.829353 = idf(docFreq=129, maxDocs=44218)
               0.01567864 = queryNorm
             0.6036352 = fieldWeight in 1722, product of:
               1.4142135 = tf(freq=2.0), with freq of:
                 2.0 = termFreq=2.0
               6.829353 = idf(docFreq=129, maxDocs=44218)
               0.0625 = fieldNorm(doc=1722)
       0.2 = coord(5/25)