| Literature DB >> 29795575 |
Ad van den Oord1,2, Arjen van Witteloostuijn2,3,4.
Abstract
In this paper, we develop an ecological, multi-level model that can be used to study the evolution of emerging technology. More specifically, by defining technology as a system composed of a set of interacting components, we can build upon the argument of multi-level density dependence from organizational ecology to develop a distribution-independent model of technological evolution. This allows us to distinguish between different stages of component development, which provides more insight into the emergence of stable component configurations, or dominant designs. We validate our hypotheses in the biotechnology industry by using patent data from the USPTO from 1976 to 2003.Entities:
Mesh:
Year: 2018 PMID: 29795575 PMCID: PMC5967744 DOI: 10.1371/journal.pone.0197024
Source DB: PubMed Journal: PLoS One ISSN: 1932-6203 Impact factor: 3.240
Stages of technological evolution and threshold values of cumulative density function.
| Stage of evolution | Cumulative density |
|---|---|
| Seed | 0.00–0.16 |
| Growth | 0.16–0.84 |
| Maturity | 0.84–0.99 |
| Decline | 0.99–1.00 |
Adapted from [40].
Fig 1Alternative technological design configurations.
The nodes are technological components.
Descriptive statistics.
| Variable | mean | S.D. | min | max | 25th % | 50th % | 75th % |
|---|---|---|---|---|---|---|---|
| Component growth | 5.017 | 14.354 | 0.000 | 217.000 | 0.000 | 1.000 | 4.000 |
| Previous entry | 0.005 | 0.014 | 0.000 | 0.217 | 0.000 | 0.001 | 0.004 |
| System density | 16.554 | 11.166 | 2.879 | 44.954 | 7.701 | 12.551 | 22.606 |
| Component density | 0.669 | 1.628 | 0.001 | 15.139 | 0.022 | 0.085 | 0.571 |
| Organizational density | 0.034 | 0.077 | 0.000 | 0.666 | 0.001 | 0.008 | 0.029 |
| Component diversity | 1.827 | 1.496 | 0.000 | 4.706 | 0.000 | 1.931 | 3.172 |
| Antecedent diversity | 1.794 | 1.208 | 0.000 | 4.270 | 0.684 | 2.040 | 2.790 |
| Descendant diversity | 1.823 | 1.055 | 0.000 | 3.940 | 1.070 | 2.060 | 2.660 |
Correlation matrix.
| Variable | 1 | 2 | 3 | 4 | 5 | 8 | 9 | 10 | |
|---|---|---|---|---|---|---|---|---|---|
| 1 | Component entry | 1.00 | |||||||
| 2 | Previous entry | 0.93 | 1.00 | ||||||
| 3 | System density | 0.11 | 0.12 | 1.00 | |||||
| 4 | Component density | 0.88 | 0.88 | 0.10 | 1.00 | ||||
| 5 | Organizational density | 0.94 | 0.94 | 0.15 | 0.95 | 1.00 | |||
| 8 | Component diversity | 0.38 | 0.38 | -0.08 | 0.48 | 0.46 | 1.00 | ||
| 9 | Antecedent diversity | 0.34 | 0.34 | 0.30 | 0.39 | 0.42 | 0.63 | 1.00 | |
| 10 | Descendant diversity | 0.29 | 0.29 | 0.34 | 0.36 | 0.37 | 0.55 | 0.84 | 1.00 |
Description of symbols.
| Symbol | Description |
|---|---|
| Component density | |
| Diversity of component | |
| Component | |
| Subcomponent | |
| Log likelihood of the base model | |
| Log likelihood of the multi-level model | |
| Organizational density | |
| Share of patents in subcomponent | |
| System density in the seed stage of component development | |
| System density in the growth stage of component development | |
| Time | |
| Component growth | |
| Chi square value of multi-level model |
Negative binomial regression estimates of multi-level structural break model of biotechnology’s components.
| Component | LL Base | Growth | LL ML | ||||
|---|---|---|---|---|---|---|---|
| 435001 | 0.271 | -298.91 | 1/1987 | 0.100 | 0.292 | -292.75 | 12.32 |
| 435002 | 0.464 | -368.42 | 1/1976 | n.a. | n.a. | n.a. | n.a. |
| 435003 | -0.053 | -137.24 | n.a. | n.a. | n.a. | n.a. | n.a. |
| 435004 | 0.063 | -1,202.77 | 1/1979 | 0.067 | 0.142 | -1,199.34 | 6.86 |
| 435005 | 0.385 | -1,123.33 | 1/1976 | n.a. | n.a. | n.a. | n.a. |
| 435006 | 0.098 | -482.18 | 1/1981 | -0.167 | 0.130 | -478.74 | 6.88 |
| 435007 | 0.181 | -216.34 | 1/1986 | 0.063 | 0.246 | -213.91 | 4.86 |
| 435008 | -0.083 | -553.06 | n.a. | n.a. | n.a. | n.a. | n.a. |
| 435009 | 0.295 | -868.42 | 1/1976 | n.a. | n.a. | n.a. | n.a. |
| 435010 | 0.305 | -437.80 | 1/1976 | n.a. | n.a. | n.a. | n.a. |
| 435011 | 0.117 | -670.91 | 1/1984 | 0.109 | 0.189 | -668.58 | 4.66 |
| 435012 | 0.134 | -356.59 | 1/1984 | 0.029 | 0.185 | -354.16 | 4.86 |
| 435013 | 0.033 | -46.67 | n.a. | n.a. | n.a. | n.a. | n.a. |
| 435014 | 0.002 | -743.54 | n.a. | n.a. | n.a. | n.a. | n.a. |
| 435015 | 0.214 | -420.27 | 1/1984 | n.a. | n.a. | n.a. | n.a. |
| 435016 | 0.081 | -583.04 | 1/1976 | n.a. | n.a. | n.a. | n.a. |
| 435017 | -0.013 | -751.86 | n.a. | n.a. | n.a. | n.a. | n.a. |
| 435018 | 0.485 | -55.19 | 1/1990 | 0.169 | 0.438 | -52.63 | 5.12 |
| 800001 | 0.347 | -116.09 | 1/1996 | -0.769 | 0.101 | -113.17 | 5.84 |
| 800002 | 0.848 | -78.29 | 1/1991 | n.a. | n.a. | n.a. | n.a. |
| 800003 | 0.290 | -211.29 | 1/1992 | -0.818 | 0.295 | -208.82 | 4.94 |
| 800004 | 0.180 | -124.32 | 1/1991 | 0.022 | 0.380 | -118.3 | 12.04 |
| 800005 | 0.099 | -402.28 | 1/1996 | 0.062 | 0.902 | -398.92 | 6.72 |
| 800006 | 1.193 | -40.97 | 1/1988 | -0.592 | 1.067 | -39.2 | 3.54 |
| 800007 | 0.051 | -28.99 | n.a. | n.a. | n.a. | n.a. | n.a. |
| 800008 | 0.060 | -363.91 | n.a. | n.a. | n.a. | n.a. | n.a. |
| 800009 | 0.083 | -471.99 | 1/1986 | -0.082 | 0.162 | -468.06 | 7.86 |
* significant at 10%.
** significant at 5%.
*** significant at 1%.
† Component experiences a structural break during our window of observation; standard errors in brackets.
S = system density. S = system density in the seed stage of development. S = system density in the growth stage of development. LL = Log likelihood. Base = comparison model. ML = multi-level structural break model. Growth = month of start growth stage component. χ = Chi square value of multi-level model = -2 * (LL Base–LL ML).
Confidence interval for entry and growth in different stages of technological development.
| Variable | Obs | Mean | S.E. | 95% confidence interval | |
|---|---|---|---|---|---|
| Growth (seed) | 2996 | 0.0082 | 0.0008 | 0.0067 | 0.0097 |
| Growth (growth) | 5052 | 0.0131 | 0.0008 | 0.0115 | 0.0146 |
| Entry (seed) | 2996 | 1.8435 | 0.0623 | 1.7214 | 1.9655 |
| Entry (growth) | 5052 | 6.8804 | 0.2481 | 6.3941 | 7.3668 |
Negative binomial dynamic multi-level panel regression estimates of the seed and growth stage of technological evolution.
| Seed stage | Growth stage | |
|---|---|---|
| Previous entry | 24.035 | 7.376 |
| (-13.895) | (-1.198) | |
| Previous entry2 | -599.037 | -20.217 |
| (-666.034) | (-5.454) | |
| LN(Organizational density | 0.538 | 0.445 |
| (-0.078) | (-0.047) | |
| Organizational density2 | 0.000 | 0.000 |
| (0.000) | (0.000) | |
| System density | 0.092 | 0.066 |
| (-0.082) | (-0.023) | |
| System density2 | -0.000 | -0.000 |
| (-0.001) | (-0.000) | |
| LN(Component density | 0.290 | 0.283 |
| (-0.070) | (-0.041) | |
| Component density2 | 0.000 | 0.000 |
| (0.000) | (0.000) | |
| Component diversity | 0.446 | -0.151 |
| (-0.107) | (-0.049) | |
| Antecedent diversity | -0.300 | 0.033 |
| (-0.068) | (-0.037) | |
| Descendant diversity | 0.200 | 0.164 |
| (-0.075) | (-0.046) | |
| Constant | -4.768 | -3.795 |
| (-1.457) | (-0.553) | |
| Observations | 2976 | 5045 |
| Number of components | 20 | 20 |
| Degrees of freedom | 29 | 29 |
| R | 3.655 | 1.880 |
| S | 2.291 | 1.216 |
| LL Constant | -3,584 | -10,413 |
| LL Comparison | -3,223 | -8,842 |
| LL Full model | -3,051 | -8,419 |
| Pseudo R2 | 0.149 | 0.191 |
* significant at 10%.
** significant at 5%.
*** significant at 1%.
Standard errors in brackets.
Fig 2The organization’s strategy and stages of technological development.