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IMPRINTING AND INERTIA - DENSITY DELAY REVISITED
Authors Stürz, Roland A.; INNO-tec - Institute for Innovation Research, Technology Management and Entrepreneurship; Ludwig-Maximilians-University Munich; [email protected] *underline presenting author’s name(s)
Abstract
The survival and death of organizations is a phenomenon of great interest to business
scholars as long-term survival is the fundamental requirement for success in all other terms
(Suárez/Utterback 1995). Traditionally, economics research on industrial dynamics has
investigated firm entry, post-entry performance and firm exit in highly aggregated
manufacturing industries. Later research in strategy and especially in organizational ecology
has studied the pattern of firm survival more systematically in the context of specific
industries. Theoretical concepts developed by organizational ecologists have greatly
broadened the understanding of how populations of organizations evolve over time
(Carroll/Hannan 2000; Nickel/Fuentes 2004). The density dependence model explaining the
long-term evolution of organizational populations rests on the assumptions that processes of
legitimation and competition affect founding and mortality rates and that these forces depend
on contemporaneous density. This model can account for the usual shape of the growth path
of an organizational population to a peak (Gort/Klepper 1982). The classical density
dependence model has gained broad empirical support (Nickel/Fuentes 2004). It has also
encouraged researchers to explore various extensions of the original model. Most of this
research refrains from the assumption that all organizations in a population have the same
influence on each other (Carroll/Hannan 2000).
The theoretical concept of a delayed effect of density on mortality was introduced by Carroll
and Hannan (1989) to explain at least part of the usual steep decline in population density
after a peak (Gort/Klepper 1982). The assumption of the density delay concept is that the
environmental conditions at the time of founding have an enduring and delayed effect on
organizational mortality and that these conditions are reflected in the population density at
that time. As “organizations formed at one time typically have a different social structure from
those formed at another time” (Stinchcombe 1965, p. 154) and as it is difficult to change the
structure due to structural inertia (Hannan/Freeman 1977), the conditions at founding are
believed to be ‘imprinted’ and to impact the complete lifespan of an organization.
Organizations founded in adverse environments thus face a persistently higher mortality than
organizations founded during better environmental conditions. Many empirical studies
support this original concept (Nickel/Fuentes 2004). However, whereas the traditional density
dependence model has been followed by various extensions, this is only partly true for the
density delay model. This paper builds on previous research on weighting schemes
especially of contemporaneous population density and derives hypotheses about delayed
effects of the competitive intensity imprinted to an organization at its founding on
organizational mortality.
I argue in line with Swaminathan (1996) that organizations exert more delayed competitive
pressure as they get older and gain more industry experience. With increasing organizational
age, structures and roles become better defined making it easier for an organization to
produce a reliable output and to account for its action and in turn to reproduce its structure
(Hannan/Freeman 1984). Longer industry tenure should also result in more knowledge
learned from competition in the course of industry evolution (Barnett/Hansen 1996). At the
same time however, co-evolutionary processes present at the time of founding of a new
organization should weaken the competitive intensity. On the one hand, co-evolutionary
processes during the course of evolution destroy existing competencies of incumbent firms -
known as ‘waves of creative destruction’ (Schumpeter 1952) - and force them to spread their
efforts in competition among numerous different entry-cohorts. On the other hand, co-
evolutionary processes signal a complex and more-dimensional resource space with niches
that new organizations can occupy in order to ease competitive pressure (Péli/Nooteboom
1999). A more detailed empirical question addressed is, how far experience of incumbent
organizations gained in recent or more distant years leads to different imprinted effects of the
competitive intensity at the time of founding of a new organization.
The predictions are tested using data on four populations of motorcycle producers in
Germany, the United Kingdom, the United States of America and Australia and analyzing it
with statistical models of event history analysis. The estimates for the populations in
Germany, the U.K. and the U.S.A. provide support for the predictions. It is shown that not all
organizations have the same delayed effect on failure rates as predicted by the traditional
density delay concept. Most of the delayed effect of the competitive intensity at founding is
attributable to old organizations that have more industry experience and a head start in
growth and that already survived their initial years of adolescence (Brüderl/Schüssler 1990).
At the same time new organizations in these three populations seem to profit from co-
evolutionary processes present at the time of founding, lowering the delayed effect on
mortality. Opposing results in Australia where old organizations even lower the delayed effect
of the competitive intensity at founding might result from a ‘competence trap’ faced by old
firms (Levitt/March 1988). Results in all populations strongly support the notion of imprinting
(Stinchcombe 1965).
The study broadens the theoretical understanding of a specific historical path-dependency in
the evolution of organizational populations. The results emphasize the importance of entry
timing and the lasting impact of the environmental condition at founding of a new
organization. Moreover, the results indicate that measures developed to assess
contemporaneous competitive intensity can also be used in a delayed setting. This shows
the broad applicability of organizational ecological concepts to measure competitive intensity
and provides a possible extension to the classical density delay concept helping to explain
generally observable evolutionary patterns more precisely as the estimated effects of the
proposed extensions are larger than the classical density delay effect alone in three
populations.
Key Words:
Organizational ecology, density delay, density dependence, industrial evolution, motorcycle industry, firm survival, imprinting, inertia
Density Delay Revisited - 1 -
1 Introduction
The survival and death of organizations is a phenomenon of great interest to business scholars
as long-term survival is not only a basic goal for business ventures but also a fundamental
requirement for success in other terms (Suárez/Utterback 1995). Traditionally, economics
research on industrial dynamics has investigated firm entry, post-entry performance and firm
exit in highly aggregated manufacturing industries in different countries (Dunne et al. 1988;
Baldwin/Gorecki 1991; Wagner 1994; Mata et al. 1995). Later research in strategy and
especially in organizational ecology has studied the pattern of firm survival more
systematically in the context of specific industries (e.g. Suárez/Utterback 1995;
Carroll/Hannan 2000; Klepper 2007; Buenstorf/Klepper 2009). Theoretical concepts
developed by organizational ecologists greatly broadened the understanding of how
populations of organizations evolve over time (Hannan/Freeman 1989; Singh/Lumsden 1990;
Boone/van Witteloostuijn 1995; Carroll/Hannan 2000; Nickel/Fuentes 2004). Density
dependence explaining the long-term evolution of organizational populations rests on the
assumptions that processes of legitimation and competition affect founding and mortality
rates and that legitimation and competition depend on contemporaneous density. The model
can account for the usual shape of the growth path of an organizational population to a peak
(Gort/Klepper 1982). The classical density dependence model not only has gained broad
empirical support (Singh/Lumsden 1990; Carroll/Hannan 2000; Nickel/Fuentes 2004), but has
also encouraged researchers to explore various extensions of the original model. Most of this
research refrains from the assumption that all organizations in a population have the same
influence on each other and use different weighted density measures (Carroll/Hannan 2000).
These extensions provide important insights into competitive effects within an organizational
population (Carroll/Hannan 2000). The theoretical concept of a delayed effect of density on
mortality was introduced by Carroll and Hannan (1989) to explain at least part of the usual
steep decline in population density after a peak (Gort/Klepper 1982). The central idea comes
from human mortality as “it appears that each generation of young tends to carry throughout
life a relative degree of mortality peculiar to itself, and it is supposed that this characteristic
mortality (...) represents the effect of the environmental conditions experienced by each
generation during the early years of its life in the population” (Leslie 1959, p. 152).
Accordingly, the assumption of the density delay concept is that the environmental conditions
at the time of founding have an enduring and delayed effect on organizational mortality and
that these conditions are reflected in the population density at that time. Many empirical
studies support the original concept of a density delay (Carroll/Hannan 2000; Nickel/Fuentes
Density Delay Revisited - 2 -
2004). However, whereas the traditional density dependence model has been followed by
various extensions, this is only partly true for the density delay model. This paper builds on
previous research on weighting schemes of contemporaneous population density and on
Swaminathan’s (1996) extension of the classical density delay effect using an age-weighting
scheme and derives hypotheses about delayed effects of the competitive intensity imprinted
(Stinchcombe 1965) to an organization at its founding.
Research on delayed effects of the environment at the time of founding of an organization is
worthwhile for several reasons. First, extensions of the density delay model may uncover a
specific type of historical path-dependency in the evolution of organizational populations and
therefore are of great theoretical value (Lomi/Larsen 1998). Such a path-dependency runs
counter to the notion of an efficient historical evolutionary process to a unique solution
dependent on current but not historical environmental conditions (March/Olsen 1989).
Second, as observed declines in population density after a peak are in general steeper than
solely implied by estimated delayed density effects, extensions of the current state of theory
might help to explain observable evolutionary patterns of organizational populations more
fully (Carroll/Hannan 2000). Third, assessing the competitive pressure of the imprinted
environment in more detail may also yield important practical implications for entrepreneurs.
I will argue that organizations exert more delayed competitive pressure as they get older and
gain more industry experience. At the same time however, co-evolutionary processes present
at the time of founding of a new organization are likely to weaken the competitive intensity. A
more detailed empirical question addressed is how far experience of incumbent organizations
gained in the first or later years leads to different delayed effects of the competitive intensity.
The predictions are tested using data on four populations of motorcycle producers in
Germany, the United Kingdom, the United States of America and Australia and analyzing it
with statistical models of event history analysis. For the populations in Germany, the United
Kingdom and the U.S.A. it is show that older organizations with more industry experience
that are already present for some time in the population exert a greater delayed competitive
effect than younger incumbents. Moreover, new organizations seem to profit from co-
evolutionary processes present in a population at the time of their entry. Motorcycle producers
in Australia are characterized by opposing effects. A possible explanation for the conflicting
results can be the distinct industry structure in Australia, where producers were highly
dependent on imported vendor parts.
The study contributes to the existing literature in several ways. First, it broadens the
theoretical understanding of a specific historical path-dependency in the evolution of
organizational populations. The results emphasize the importance of entry timing and the
Density Delay Revisited - 3 -
lasting impact of the environmental condition at founding of a new organization. Second, the
results indicate that measures developed to assess contemporaneous competitive intensity can
also be used in a delayed setting. On the one hand this shows the broad applicability of
organizational ecological concepts to measure competitive intensity. On the other hand, a
possible extension to the classical density delay concept is provided that might help to explain
generally observable evolutionary patterns more precisely as the estimated effects of the
proposed extensions are larger than the classical density delay effect alone in three
populations. Third, the study provides important insights to entrepreneurs on the effects of the
conditions at the time of founding on firm success.
The paper is structured as follows: In the next section the basic concepts of the density
dependence and density delay models are reviewed. Then I present my hypotheses. The next
section provides an overview of the populations, the data and the method employed followed
by the empirical results. Finally, the last section concludes with a discussion of the findings.
2 Theoretical Background and Hypotheses
2.1 Density Dependence and Density Delay
A very general and long-term model based on the two precisely defined sociological forces
social legitimation and diffuse competition is believed to explain the observable evolutionary
patterns of organizational populations (Hannan 1986; Hannan/Carroll 1992; Carroll/Hannan
2000). Inherent to the model is the general notion of organizational ecology that changes in an
organizational population appear through the natural selection of different organizations due
to structural inertia and not through adaptations conducted by the individual organization
(Hannan/Freeman 1977; Dobrev et al. 2006).
Social legitimation can be obtained by an organization when it attains a taken for granted
character and actors see it as a natural form to conduct collective action (Meyer/Rowan 1977).
An organization of a new form typically lacks this kind of legitimation what makes it difficult
to organize. At the beginning of an evolutionary process, when there are only a few
organizations of one kind, another new organization can highly increase legitimation. At later
stages in the evolutionary process, however, when population density is already high, the
addition of a new organization adds little or nothing to legitimation. So legitimation increases
with contemporaneous population density but at a decreasing rate and only up to a certain
ceiling. Legitimation has a positive effect on the founding rate and a negative effect on the
mortality rate in an organizational population (Hannan 1986; Hannan/Carroll 1992;
Carroll/Hannan 2000).
Density Delay Revisited - 4 -
The second driving force of natural selection is diffuse competition. In contrast to direct or
head-to-head competition diffuse competition arises when a set of organizations depends upon
the same pool of limited resources (Carroll/Hannan 2000). Also diffuse competition is
connected to population density as the addition of a new organization of one kind increases
the demand on the resource base. As population density increases linearly, potential bilateral
relationships increase geometrically – accordingly competition is believed to rise with
population density at an increasing rate (Hannan/Carroll 1992). Diffuse competition has a
detrimental effect on the founding rate in an organizational population and increases mortality
(Carroll/Hannan 2000).
At very low levels of density, typically at the beginning of an evolutionary process,
legitimation exceeds competition. At later stages in the evolutionary course when density is
high competitive processes dominate. This in turn leads to the empirically testable implication
of the density dependence concept: the relationship between the founding rate and
contemporaneous density is believed to be inversely U-shaped, the relationship of the
mortality rate and contemporaneous density to be U-shaped (Hannan 1986; Hannan/Carroll
1992).
Hannan and Freeman (1988) tested the density dependence model on the mortality of U.S.
labor unions and found the expected U-shaped relationship. A variety of succeeding studies
created strong empirical support in different populations.1
While density dependence has not remained without critics arguing for example that
population density would not be a suitable measure for legitimation (Zucker 1989) or that part
of the observed statistical effects might be spurious due to unobserved heterogeneity
(Petersen/Koput 1991), “in many analysts' view, the empirical evidence of density
dependence is so convincing that analyses of long-term organizational evolution not including
these variables are now suspect” (Carroll 1997, p. 127 et seq.).
The appealing generality of the model is also a weakness as an implicit assumption is that
each organization has the same effect on legitimation and competition in the organizational
population. This has encouraged researchers to conduct various extensions to the original
model applying specific weighting schemes to the full density model in order to dig deeper
especially into competitive forces. A variety of studies used the geographic location of
organizations and their spatial proximity to each other to weight density counts (Carroll/Wade
1991; Swaminathan/Wiedenmayer 1991; Hannan/Carroll 1992; Baum/Mezias 1992;
Baum/Singh 1994a/b; Hannan et al. 1995; Bigelow et al. 1997; Sorenson/Audia 2000;
1 See Singh and Lumsden (1990) as well as Nickel and Fuentes (2004) for a comprehensive review of empirical
evidence.
Density Delay Revisited - 5 -
Boschma/Wenting 2007). Other weighting dimensions employed include niche overlap
(Baum/Singh 1994a/b), technology (Barnett 1990), price (Baum/Mezias 1992) and
organizational size (Barnett/Amburgey 1990). Barnett (1997) argues that older organizations
exert more competitive pressure than younger firms leading to an age-weighted density
measure. In later work Barnett and colleagues (Barnett/Hansen 1996; Barnett/Sorenson 2002)
developed the most sophisticated model of weighted density known as the ‘Red Queen’ in
organizational ecology. The basic idea is that organizations that experience intense direct and
recent competition become stronger competitors but that co-evolutionary processes reduce the
competitive strength of an organization (Barnett/Hansen 1996; Barnett/Sorenson 2002). I will
build on the notions inherent to the last two mentioned extensions of density dependence to
derive my hypotheses.
The typical evolutionary pattern of organizational populations is characterized by a slow
initial rise in firm numbers followed by a rapid increase to a peak. After the peak there is
usually a sharp shakeout sometimes followed by a stabilization in firm numbers
(Gort/Klepper 1982). Density dependence can account for the growth path, however, not for
the sharp decline. Accordingly, Carroll and Hannan (1989) extended the model of density
dependence suggesting a delayed effect of population density. Following Stinchcombe’s
(1965) imprinting hypothesis, “organizations differ from one another not because they adapt
to changing environmental conditions, but instead because organizations are of necessity
created out of the specific technological, economic, political, and cultural resources available
in the founding context. By making particular organizational structures and practices appear
both possible and desirable, the resources available in a particular founding context exercise
an enormous influence over the character of a new organization” (Johnson 2007, p. 97 et
seq.). Due to structural inertia, changes to the imprinted organizational form are difficult and
heighten the risk of organizational failure (Hannan/Freeman 1977). The prediction of a
delayed effect of density at the time of founding is that organizations founded under adverse
environmental conditions, characterized by a high population density, are weak competitors
with a persistently higher age-specific mortality rate (Carroll/Hannan 1989). In times of high
density and high competition new ventures are primarily engaged in securing the necessary
flow of resources and cannot devote much time on organization building. High density
environments are also characterized by an intense exploitation of resources and therefore new
organizations are often forced to use the margins of the resource space. Even if they succeed
in developing routines and structures that secure a constant resource flow they are committed
to inferior regions of the resource space (Carroll/Hannan 1989).
Density Delay Revisited - 6 -
Carroll and Hannan (1989) investigated the proposed delayed effects of density at the time of
founding for the populations of newspapers in Ireland, San Francisco and Argentina as well as
for U.S. labor unions and U.S. brewing firms and found significant results in line with the
expectation in all but one population. Most subsequent studies also supported the theory.2
Simulation studies based on the estimated delayed density effects in various populations,
however, show that the effect can explain only part of the usual observable shakeout as actual
declines in population density are generally steeper (Carroll/Hannan 2000). So the classical
density delay calls for extensions of the theory that were, however, by far less frequently
realized than in the context of contemporaneous density (Carroll/Hannan 2000). One
exception is Dobrev and Gotsopoulos’ (2010) extension introducing the concept of a
legitimation vacuum at the beginning of an evolutionary process and Swaminathan’s (1996)
study introducing an age-weighted delayed effect of density. I will build on the latter idea in
the following section to derive my first hypothesis.
2.2 Hypotheses
In this section the hypotheses are developed.
Competitive Intensity: The model of contemporaneous density dependence posits that the
level of competition depends positively on the number of organizations. Moreover, one
extension to the classical notion digging deeper into competitive relationships argues that
older organizations generate a higher competitive intensity (Barnett 1997). Competitive
intensity “can be defined as the magnitude of effect that an organization has on its rivals’ life
chances” (Barnett 1997, p. 130). According to Stinchcombe’s (1965) ‘liability of newness’
argument organizational mortality rates decline as organizations age. New organizations first
need to develop new roles and skills and are challenged by high temporary inefficiencies
when they organize and structure their ventures and when they assign tasks to the
organizational members. New organizations also lack established social relations as they first
have to interact with strangers (Stinchcombe 1965).
Klepper (2002) shows in his theoretical economics model of the evolution of industries based
on the returns from R&D that “earlier entrants [and therefore older organizations] have a head
start in growing, in every period they grow more than later entrants of the same type and thus
are always larger than later entrants of the same type” (Klepper 2002, p. 40). In this way
Klepper (2002) implicitly links organizational age and viability to organizational size. In turn,
large organizations are known to have easier access to capital, markets and factors of
2 See Nickel and Fuentes (2004) for a comprehensive review of empirical evidence.
Density Delay Revisited - 7 -
production (Parsons 1960; DiMaggio/Powell 1983), contacts in a powerful network
(Mintz/Schwartz 1985) and a high social status (Podolny 1993).
With increasing age organizations also learn and gain more industry experience. Industry
experience is driven by learning from competitive relationships (March 1988, 1994;
Levinthal/March 1981). As competition is constantly operating within an organizational
population industry tenure means an ongoing process believed to increase the viability of
organizations over time (Barnett/Hansen 1996; Barnett/Sorenson 2002; Barnett/Pontikes
2008). But even if no learning takes place over time more viable organizations might be left at
older ages within the population simply due to pure selection processes (Freeman et al. 1983).
Assuming that more viable organizations are stronger competitors, these arguments predict
that older organizations generate stronger competition (Swaminathan 1996). Assuming a
delayed effect of the conditions at founding on organizational mortality leads to hypothesis 1.
H1: The aggregated age of incumbent organizations at the time of founding of a
new organization has a positive impact on the mortality rate of this organization.
Composition of competitive intensity: The process of learning with industry tenure implicitly
assumes a constant cohort of organizations evolving together over time. Within a single
cohort of organizations all members share the same history and experience. But in reality
organizational populations exist of multiple cohorts of entrants. At the beginning of the
evolutionary course only the first entry-cohort moves along, organizations learn from each
other and in turn increase the competitive intensity. However, with the entry of a new cohort a
co-evolutionary process is started. New cohorts of organizations will most likely enter a
population with different strategies, routines, practices and skills to which earlier cohorts have
evolved (Barnett/Hansen 1996; Barnett/Sorenson 2002; Barnett/Pontikes 2008). New cohorts
therefore might impose new competitive threats to incumbents – known as ‘waves of creative
destruction’ (Schumpeter 1952). Co-evolutionary processes can incur considerable costs for
incumbent firms as adjustments to new cohorts of rivals might drive earlier adjustments
obsolete destroying existing competencies and industry experience (Tushman/Anderson 1986;
Dowell/Swaminathan 2000) resulting in a lower viability of existing organizations
(Barnett/Hansen 1996). With many such processes present at the time of founding of a new
organization incumbent firms are unable to concentrate solely on challenging the new entrant.
This might result in an advantageous situation for the new entrant. Here it is important to
stress that competition and co-evolutionary processes in existence within a population at the
time of founding are seen as exceptional circumstances with their own specific and persistent
effects on organizational mortality. Whereas co-evolutionary processes faced by incumbent
Density Delay Revisited - 8 -
firms over time are believed to decrease their viability, co-evolutionary processes experienced
by a new firm immediately at the time of founding are expected to increase its viability
persistently due to a weaker “imprinted” competitive intensity generated by existing firms.
“This seems reasonable, given that the quality of an organization’s initial structures,
processes, strategy, and people might vary as a function of initial resource scarcity - but that
continued exposure to competition likely triggers natural selection” (Barnett/Sorenson 2002,
p. 298).
The effect of many co-evolutionary processes signaling available resources and a
multidimensional resource space is another reason for this prediction. Generally an entry of a
new cohort of organizations occurs when new firms anticipate specific chances in the market
(Hannan/Freeman 1986), equivalent to an existing but unoccupied dimension in the resource
space. A high number of different entry-cohorts thus signals a multidimensional resource
space. As Péli and Nooteboom (1999) show in their paper under certain assumptions large
generalist competitors can engross the less resources of the resource space the more
dimension the resource space exhibits. With an increasing number of dimensions, more
unoccupied areas are present that can be used by new firms often entering as small specialists
(Carroll/Hannan 1989) to avoid direct competition from generalists.
Taken together these considerations lead to hypothesis 2.
H2: The number of co-evolutionary processes at the time of founding of a new
organization has a negative impact on the mortality rate of this organization.
Composition of industry experience: The idea behind hypothesis 1 is that industry experience
gained by incumbents in early years is as important to describe the competitiveness of the
founding conditions for a new organization as experience gained in later years. However,
ignoring the timing of experience is unrealistic as there are theoretical predictions for a
different effect of experience in the first and later life years of an organization.
On the one hand, March (1994) for instance observes that organizational memory decreases in
precision as time passes. Benefits from past experience might therefore diminish with time
(Barnett/Sorenson 2002). In the worst case past experience might even be maladaptive and
lead to a ‘competence trap’ (Levitt/March 1988) when organizations try to apply old solutions
to new and different problems. In general, as time passes the probability that the environment
changes increases, increasing also the probability that past industry experience becomes
outdated (Barnett et al. 1994; Barnett/Hansen 1996).
One the other hand, one has to consider that not each period in the life of an organization has
the same relevance when building up competitive intensity. Brüderl and Schüssler (1990)
Density Delay Revisited - 9 -
stress that the period of a decreasing organizational mortality rate with organizational age in
connection with the ‘liability of newness’ is preceded by an empirically observable short
period with an increasing organizational mortality rate. The reason for this is that new
organizations have certain initial resource endowments. Only when these resources are used
up it becomes clear whether the organization has been successful with the realization of its
business idea on the market and with the establishment of relationships to external
stakeholders (Brüderl/Schüssler 1990). Thus only after this first period where a new
organization can live on its initial resources its viability is shown and only then it will be able
to unfold a sustaining impact on the competitive intensity in the population. Moreover, also in
the model from Klepper (2002) the head start in growth of a firm is the larger the older an
organization is.
As the theoretical arguments result in partly conflicting expectations the following hypothesis
is formulated in order to allow the empirical results to show which effects will prevail.
H3: Two separated clocks aggregating industry tenure of incumbent
organizations at the time of founding of a new organization in recent and distant
years will have different effects on the organizational mortality rate of this
organization.
Trial by fire: An alternative explanation that would lead to the hypotheses opposing
predictions is a so called ‘trial by fire process’ (Carroll/Hannan 1989; Swaminathan 1996).
The basic idea behind a trial by fire is an unobserved distribution of organizational frailty in
each entry cohort (Vaupel et al. 1979). If there is such an unobserved frailty distribution a
selection process is possible where organizations with a high frailty exit the population within
a short timeframe - the trial - under nearly all environmental circumstances. Organizations
with a medium frailty, however, will only be selected out of the population when there are
adverse environmental conditions present at the time of entry of such organizations.
Organizations with a low frailty will prevail in a population under nearly all circumstances.
Accordingly, the environmental conditions at the time of founding may alter the frailty
distribution after the selection period but not impact the mortality rate of an individual
organization. Cohorts of entrants that entered a population during adverse environmental
conditions will thus exhibit a lower mean mortality rate after the trial than cohorts entering
during better environmental conditions (Carroll/Hannan 1989). Such a prediction runs counter
to the general imprinting hypothesis (Stinchcombe 1965). In order to rule out this alternative
explanation it has to be shown that the predicted effects on organizational mortality do not
change signs with organizational tenure (Dobrev/Gotsopoulos 2010).
Density Delay Revisited - 10 -
H4: The effects of aggregated organizational age of incumbent firms and the
existing co-evolutionary processes at the time of founding of a new organization
do not change with organizational tenure in a population.
Expected effect on delayed density: It has been argued that population density at the time of
founding captures the environmental conditions at that time (Carroll/Hannan 1989). When the
above proposed more detailed measures of competitive intensity completely control for the
competitive environmental conditions at founding I would expect that there will be no delayed
effect of un-weighted density once those measures are included. But delayed effects of
density might combine not only elements of resource scarcity at the time of founding but also
include a crowding component – the probability that organizations will try to use the same
resources (Barnett 1997). Age-based competitive intensity and density might therefore capture
two different dimensions of competition within a population (Swaminathan 1996, Barnett
1997). Moreover, it can be argued that density also signals the temporal carrying capacity of
an environment at the time of founding (Hannan/Freeman 1977). A high number of
organizations might indicate a large resource base in general though exploited by many
organizations in intense competition at the same time. Taking these considerations into
account the empirical prediction of including the proposed measures for competitive intensity
is a positive change of the density delay effect, maybe even combined with a change in sign.
3 Empirical Implementation
To test the hypotheses presented I use data on four populations of motorcycle producers in
Germany (1894-1981), the United Kingdom (1894-1981), the United States of America
(1894-1981) and Australia (1894-1938). First, I will briefly outline the history of the
populations investigated and then I will explain how the data has been collected and what the
empirical implementation looks like.
3.1 Industry Background and Overview of the Populations Investigated
The history of the motorcycle can be traced back to 1885 when Daimler und Maybach
constructed a prototype with training wheels for test purposes for their patented combustion
engine (Limpf 1983). In 1894 the first motorcycle in serial-production came onto the market
from Hildebrand & Wolfmüller of Munich Germany (Knittel 1983). A few of the Hildebrand
& Wolfmüller motorcycles were also exported to the U.K. and so the idea of the production of
motorcycles spread. U.K. companies started from 1896 onwards to enter the industry (Limpf
1983). In the U.S. and Australia first entrants started their ventures around that time as well
Density Delay Revisited - 11 -
(Rafferty 2001; Saward 1996). Figures 1, 2, 3 and 4 display the evolution of the four
populations.
Figure 1: Population density – German motorcycle producers (source: Tragatsch 1986)
Figure 2: Population density – U.K. motorcycle producers (source: Tragatsch 1986)
From 1899 onwards all populations show an intense rise in population density. Especially in
the U.K. and in the U.S. high numbers of density were reached relatively fast. Great Britain
gained a leading position in the worldwide motorcycle industry that continued for several
decades (Tragatsch 1985). Australia and the U.S.A. saw their peaks in motorcycle producer
density already before World War I. In general, densities dropped with the arrival of the Great
War, starting a consolidation process.
Immediately following the First World War the so called ‘golden twenties’ in Europe led to
an upsurge in the demand for individual means of transportation but most people could only
afford to buy a motorcycle and not an automobile (Tagatsch 1985). Firm numbers in the U.K.
and especially Germany increased sharply. Population density in Germany increased to a peak
in 1924. Three years earlier U.K. motorcycle producers reached their all time high. In the
U.S., however, the situation was quite different. “While the automobile industry went on to
new heights following the war, motorcycles were shifted to the margins of motorized
transportation in the U.S. Largely because of the manufacturing and marketing acumen of
Density Delay Revisited - 12 -
Henry Ford, only a handful of motorcycle builders remained in the 1930s” (Rafferty 1999, p.
7). In Australia firm numbers continued to drop after the war as well.
Figure 3: Population density – U.S. motorcycle producers (source: Rafferty 2001; Wilson 1996)
Figure 4: Population density – Australian motorcycle producers (source: Saward 1996)
The sharp increase in population density in Germany and the U.K. was immediately followed
by an excessive shakeout in both populations. The decline continued in all four populations
until the Second World War. Great Britain was the nation with the highest output of
motorcycles at that time but lost its leading position to Germany in the late 1930s
(Wezel/Lomi 2009).
After the end of the Second World War the industries in the U.S., Germany and the U.K.
again saw increases in firm numbers as demand increased rapidly especially in Europe
(Wezel/Lomi 2009). In Australia, however, “there have been few locally assembled
motorcycles after WW2” (Saward 1996, p. vii) bringing my observation window for this
population to an end before the Second World War started.
Still motorcycles in Europe were cheaper to buy, cheaper to drive and caused lower
maintenance expenses than automobiles making them affordable for a lot of people. The rise
of the Japanese motorcycle industry from 1950 onwards (Kato 2009) led to a major structural
change of the industry in other countries, producers in the U.K. were especially hard hit by the
Density Delay Revisited - 13 -
competition with Japanese firms (BCG 1975). In 1980 only few firms remained in the
populations.
3.2 Data, Variables and Method used
The data for the study at hand were collected from various motorcycle specific publications.
Tragatsch (1986), which is considered to be the most reliable source of this industry (Wezel
2005), was used to collect population data for Germany and the U.K. A cross-check with the
information provided by Wilson (1996) proofed the reliability of the data. Moreover,
evolutionary patterns displayed in figures 1 and 2 resemble the characteristics for the two
populations provided by Wezel and Lomi (2009) and for Germany they are nearly identical
with the evolutionary pattern described by Gömmel and Braun (1997).3 Data on the
Australian population were collected using Saward (1996) and on the U.S. using Wilson
(1996) and Rafferty (2001).
Dependent variable: Firm survival as the most important success factor for organizations in
the long run is the variable of interest in this study. The data sources used to collect
population data in general list the year of the market entry of a firm/brand into the motorcycle
industry as well as the year of the market exit.4 Year mid-point approximation was used for
the survival time in order to avoid a time aggregation bias and the dataset was split into
quarters of a year (Petersen 1991; Petersen/Koput 1992).
In most cases the exact circumstances of market entry and exit are unknown. Thus in most
cases it is unclear whether a manufacturer entered the industry as de novo or de alio and
whether an organization ceased to exist in the industry by disbanding, by an exit to another
industry or by a merger or acquisition. However, as qualitative information out of the data
sources (Gömmel/Braun 1997) suggests, mergers and acquisitions were not very common for
most organizations and took place only among a few large firms. Therefore, as exits were
treated as unsuccessful failures, possible biases due to unknown exits by mergers and
acquisitions are believed to be of little consequence. This results in 613 German firms, 600
3 Deviations in population density in various datasets are not uncommon and are for example in datasets on the
U.S. automobile industry (Utterback/Suárez 1993; Carroll et al. 1996; Klepper 2002) or the Japanese
motorcycle industry (Wezel/Lomi 2003; Yamamura et al. 2005; Kato 2009) by far greater than in the case at
hand. 4 Information in the publications used is assembled around brands instead of firms. However, resulting data
imperfections are believed to have little impact. Gömmel and Braun (1997) for example use the terms
‘vendors’, ‘firms’ and ‘brands’ synonymic, suggesting a low importance of multi-brand firms in Germany. As
far as available information allowed, multi-brand vendors in the U.S.A. and Australia were consolidated to
firms. Producers in Australia where only the year of a motorcycle registration was known were coded as being
in existence in the year of registration. Resellers, however, buying complete motorcycles and just rebranding
them - a procedure not uncommon in Australia - were dropped from the Australian dataset.
Density Delay Revisited - 14 -
U.K. firms, 285 U.S. firms and 321 Australian firms with 587, 580, 283 and 317 failures
respectively.
In order to analyze these industry tenure durations event history analysis is used as traditional
ordinary least squares (OLS) or binary dependent variable regression models would be
inappropriate for this type of data (Jenkins 2005; Cleves et al. 2002).
Table 1 displays the time at risk, the number of subjects and the quartiles of industry tenure in
years for the four populations.
Table 1: Summary of industry tenures
Population
Time under
risk
(years)
Incidence
rate
Number of
organizations
Industry tenure (years)
25% 50% 75%
Germany 4067 0.144 613 2 3 5
U.K. 5206 0.111 600 2 4 9
U.S.A. 1163.5 0.243 285 0.5 1 5
Australia 1123 0.282 321 0.5 1 5
As age dependency in organizational failure rates is a complicated and controversial
theoretical issue in population ecology (Freeman et al. 1983; Brüderl/Schüssler 1990;
Fichman/Levinthal 1991; Hannan et al. 1991; Barron et al. 1994; Ranger-Moore 1997;
Henderson 1999; Hannan 2005) there exists no clear ex-ante prediction for the
parameterization of the baseline hazard rate. Accordingly, piecewise exponential hazard rate
models are used that allow for some flexibility of the baseline hazard rate and a consistent
implementation over all populations. Industry tenure is divided into the eight pieces u:
[0; 0.5]; ]0.5; 1]; ]1; 2]; ]2; 3]; ]3; 5]; ]5, 7]; ]7; 10]; ]10; ∞[. Parameter estimates were
obtained using maximum likelihood calculations as implemented in STATA 10.1 using robust
and firm-clustered standard errors.
Explanatory variables: As it is a general practice in evolutionary survival studies, regression
models will include standard ecological variables describing the process of density
dependence (Carroll 1997). The variable contemporaneous density denotes the time-varying
number of organizations active in a population in a given year. The variable contemporaneous
density2 / 1000 is the squared time-varying number of organizations active in a population in a
given year divided by 1000. Founding density denotes the time-invariant number of firms
active in the year a new firm enters the population capturing the density delay effect.
Founding population age / 100 describes the time-invariant aggregated age of incumbents
present in a population at the year of entry of a new organization divided by 100. H1 predicts
a parameter estimate for founding population age / 100 of ß > 0. Tenure variance at
Density Delay Revisited - 15 -
founding / 100 denotes the time-invariant variance in industry tenure of incumbent firms
active in the year of founding of a new organization divided by 100. The more different entry
cohorts are present at the time of founding of a new organization the more co-evolutionary
processes are present at that time and the higher is the variance in the ages of firms already in
existence (Barnett/Hansen 1996). H2 predicts a parameter estimate for the tenure variance at
founding / 100 of ß < 0.
H3 states that experience gained at different times of industry evolution and at different
periods of organizational existence should have different effects on the competitive intensity
within an organizational population. To probe further into this prediction the clock for
industry tenure of firms at the time of founding of a new organization is divided into two
parts, one that counts industry experience of incumbent firms up to a maximum of five years
(founding population age 1-5 years / 100) and one that counts experience of more than five
years (founding population age 5+ years / 100) with each divided by 100.5
Interactions of the variables relevant to test the hypotheses with indicator variables that
separate the first two years of industry tenure of an organization and later life years are used
to test H4. In order to confirm the prediction of H4 of a lasting imprinting process at the time
of founding these interactions should not show significant changes in signs
(Dobrev/Gotsopoulos 2010).
In order to control for population dynamics effects, the numbers of prior year industry entries
and exits are included as control variables (prior year foundings; prior year exits) (Delacroix
et al. 1989). Population dynamics predict a parameter estimate for prior year foundings of
ß < 0 as this variable is considered to be a proxy indicating the existence of new niches to
which organizations can go avoiding fierce competition and selection (Delacroix et al. 1989).
Prior foundings, moreover, might signal affluent environmental resources as well, enhancing
organizational survival (Nickel/Fuentes 2004). Population dynamics also predict a parameter
estimate for prior year exits of ß < 0 as each failing organization may free up environmental
resources that can be used by other organizations thus enhancing the chances of survival
(Delacroix/Carroll 1983). However, prior year exits may also signal hostile environmental
conditions, where securing the necessary resource flow is difficult (Barnett/Hansen 1996;
Ingram/Inman 1996; Ranger-Moore 1997; Nickel/Fuentes 2004).
5 Note: Considering the general industry tenures in the four populations (see table 1) a cut-off of five years was
chosen to separate the two clocks. Running the regressions instead with a lower or higher cut-off does not
lead to major changes.
Density Delay Revisited - 16 -
Table 2: Descriptive statistics, episode split data set
Variable N Mean SD Median Min Max
Germany
Contemporaneous density 16268 125.225 123.887 64.000 1.000 392.000
Contemporaneous density² / 1000 16268 31.028 50.522 4.096 0.001 153.664
Founding density 16268 134.133 126.518 64.000 1.000 392.000
Founding population age / 100 16268 5.740 4.130 6.170 0.000 12.460
Founding population age 1-5 years / 100 16268 2.459 2.080 1.800 0.000 7.060
Founding population age 5+ years / 100 16268 3.281 2.703 3.730 0.000 9.990
Tenure variance at founding / 100 16268 0.602 0.822 0.350 0.000 6.369
Prior year foundings 16268 27.654 43.446 5.000 0.000 129.000
Prior year exit 16268 19.969 37.071 5.000 0.000 152.000
Real GDP per capita / 1000 16268 4.914 2.712 3.772 2.503 15.370
Dummy WW (1/0) 16268 0.098 - 0 0 1
U.K.
Contemporaneous density 20824 110.433 61.275 115.000 1.000 224.000
Contemporaneous density² / 1000 20824 15.950 14.751 13.225 0.001 50.176
Founding density 20824 108.109 57.793 115.000 1.000 224.000
Founding population age / 100 20824 5.834 5.135 5.370 0.000 16.620
Founding population age 1-5 years / 100 20824 2.854 2.046 2.700 0.000 6.830
Founding population age 5+ years / 100 20824 2.979 3.747 0.720 0.000 11.570
Tenure variance at founding / 100 20824 0.472 1.273 0.041 0.000 8.681
Prior year foundings 20824 14.219 16.685 7.000 0.000 59.000
Prior year exit 20824 11.999 13.365 6.000 0.000 49.000
Real GDP per capita / 1000 20824 5.700 1.754 4.980 4.238 13.087
Dummy WW (1/0) 20824 0.166 - 0 0 1
U.S.A.
Contemporaneous density 4654 30.214 19.247 30.000 1.000 67.000
Contemporaneous density² / 1000 4654 1.283 1.272 0.900 0.001 4.489
Founding density 4654 34.679 20.023 31.000 1.000 67.000
Founding population age / 100 4654 1.040 0.710 0.990 0.000 2.440
Founding population age 1-5 years / 100 4654 0.641 0.495 0.450 0.000 1.630
Founding population age 5+ years / 100 4654 0.399 0.440 0.260 0.000 1.400
Tenure variance at founding / 100 4654 0.689 1.046 0.049 0.000 4.508
Prior year foundings 4654 7.123 8.163 5.000 0.000 36.000
Prior year exit 4654 6.542 7.106 4.000 0.000 36.000
Real GDP per capita / 1000 4654 6.981 3.224 5.307 3.318 18.489
Dummy WW (1/0) 4654 0.174 - 0 0 1
Australia
Contemporaneous density 4492 64.981 31.410 59.000 1.000 115.000
Contemporaneous density² / 1000 4492 5.209 4.076 3.481 0.001 13.225
Founding density 4492 62.642 30.131 55.000 1.000 115.000
Founding population age / 100 4492 1.766 1.354 1.670 0.000 4.040
Founding population age 1-5 years / 100 4492 1.352 0.947 1.580 0.000 2.860
Founding population age 5+ years / 100 4492 0.414 0.456 0.230 0.000 1.260
Tenure variance at founding / 100 4492 0.060 0.068 0.043 0.000 0.454
Prior year foundings 4492 16.077 9.669 18.000 0.000 32.000
Prior year exit 4492 14.646 11.005 10.000 0.000 44.000
Real GDP per capita / 1000 4492 5.165 0.514 5.042 3.663 7.601
Dummy WW (1/0) 4492 0.275 - 0 0 1
Density Delay Revisited - 17 -
To account for general economic conditions in the various populations, the real gross
domestic product per capita (real GDP per capita / 1000) is included as time-varying control
variable originating from the “Historical Cross-Country Technology Adoption Dataset”
(Comin/Hobijn 2004). Finally, as the two World Wars taking place during the observation
window were significant events heavily affecting the overall economic situation in all four
countries, the dummy WW (1/0) is included to account for the respective time periods.6 Annex
1 in the appendix provides an overview of all explanatory variables. All time-varying
explanatory variables in the analysis are updated annually.
Table 2 displays the descriptive statistics in the episode split data set. Descriptive statistics for
a non split version of the data at the time of entry of each organization as well as the
correlation of those variables can be found in the appendix. The possible problem of high
multicollinearity of variables in organizational ecological analyses is also present in this
dataset (Tucker et al. 1990; Baum/Haveman 1997; Graham 2003). However, the proposed
extended measures for the delayed effects of the competitive intensity at founding show lower
correlations with the other variables than the classical organizational ecological variables
among each other. Moreover, multicollinearity might inflate standard errors but will not result
in biased point estimates (Kennedy 1992; Baum/Havemann 1997).
4 Results
In this section the results of the multivariate analyses are presented. Tables 3, 4, 5 and 6
display the estimations of the piecewise exponential hazard regression models. For each
population five models are estimated. The first one can be considered as a classical
organizational ecology model including the time-pieces u, contemporaneous density and
contemporaneous density² / 1000, the founding density, prior year foundings and prior year
exits, real GDP per capita / 1000 and the dummy WW (1/0). In the second model the founding
population age / 100 and the tenure variance at founding / 100 are added as explanatory
variables in order to test the hypotheses H1 and H2. Model 3 then separates the effects of
those two variables with interactions of industry tenure to test the imprinting hypothesis H4.
In model 4 the two different clocks measuring industry tenure of incumbent firms in founding
population age 1-5 years / 100 and founding population age 5+ years / 100 are included to
test H3. Finally to test H4 with the two clocks again the two variables are interacted with
industry tenure of up to two years and more than two years.
6 Note: In order to include the same variables in all four populations just one dummy for both World Wars was
chosen.
Density Delay Revisited - 18 -
Table 3: MLE of organizational failure rates – German motorcycle producers
Variable (1) (2) (3) (4) (5)
u1 0.399 0.055 -0.097 0.117 -0.193
[0.263] [0.253] [0.299] [0.255] [0.314]
u2 1.837*** 1.520*** 1.377*** 1.558*** 1.256***
[0.182] [0.172] [0.241] [0.177] [0.255]
u3 1.707*** 1.418*** 1.284*** 1.435*** 1.142***
[0.175] [0.167] [0.243] [0.170] [0.258]
u4 1.677*** 1.417*** 1.443*** 1.417*** 1.470***
[0.181] [0.174] [0.184] [0.178] [0.189]
u5 1.609*** 1.364*** 1.385*** 1.364*** 1.407***
[0.183] [0.174] [0.179] [0.177] [0.183]
u6 1.534*** 1.335*** 1.351*** 1.324*** 1.357***
[0.210] [0.202] [0.205] [0.204] [0.207]
u7 1.185*** 0.998*** 1.011*** 0.982*** 1.010***
[0.237] [0.224] [0.225] [0.225] [0.226]
Constant -3.564*** -3.309*** -3.301*** -3.347*** -3.351***
[0.283] [0.284] [0.288] [0.282] [0.289]
Contemporaneous density -0.005** -0.007*** -0.006** -0.007*** -0.007***
[0.002] [0.003] [0.003] [0.003] [0.003]
Contemporaneous density² / 1000 0.021*** 0.024*** 0.024*** 0.026*** 0.024***
[0.007] [0.008] [0.008] [0.008] [0.008]
Founding density 0.001*** -0.001 -0.001 0.000 0.000
[0.000] [0.001] [0.001] [0.001] [0.001]
Founding population age / 100 [all u] 0.099***
[0.031]
u ≤ 2
0.112***
[0.033]
u > 2
0.093***
[0.035]
Founding population age 1-5 years / 100
[all u]
0.000
[0.059]
u ≤ 2
-0.008
[0.064]
u > 2
-0.008
[0.073]
Founding population age 5+ years / 100
[all u]
0.200***
[0.054]
u ≤ 2
0.287***
[0.088]
u > 2
0.176***
[0.066]
Tenure variance at founding / 100 [all u] -0.057
-0.335*
[0.136]
[0.187]
u ≤ 2
-0.048
-0.510*
[0.142]
[0.273]
u > 2
-0.060
-0.297
[0.157]
[0.227]
Prior year foundings -0.007 -0.005 -0.005 -0.006 -0.006
[0.006] [0.006] [0.006] [0.006] [0.006]
Prior year exit 0.010*** 0.011*** 0.010*** 0.011*** 0.010***
[0.001] [0.001] [0.001] [0.001] [0.001]
Real GDP per capita / 1000 -0.001 -0.077** -0.075* -0.068* -0.060
[0.030] [0.039] [0.039] [0.039] [0.039]
Dummy WW (1/0) -0.028 -0.105 -0.105 -0.114 -0.108
[0.324] [0.317] [0.318] [0.317] [0.318]
Spells 16268 16268 16268 16268 16268
Number of firms 613 613 613 613 613
Events 587 587 587 587 587
Log pseudolikelihood -766.6 -758.4 -758.3 -756.8 -756.1
df 14 16 18 17 20
Wald Chi² 628.6 687.2 698.7 687.5 695.3
Note: Robust, firm-clustered standard errors in brackets.
*** p<0.01, ** p<0.05, * p<0.1.
Density Delay Revisited - 19 -
Table 4: MLE of organizational failure rates – U.K. motorcycle producers
Variable (1) (2) (3) (4) (5)
u1 0.714*** 0.548** 0.496* 0.546** 0.669**
[0.206] [0.227] [0.269] [0.230] [0.299]
u2 1.820*** 1.669*** 1.617*** 1.672*** 1.799***
[0.148] [0.168] [0.223] [0.171] [0.266]
u3 1.392*** 1.259*** 1.209*** 1.254*** 1.377***
[0.143] [0.164] [0.217] [0.166] [0.263]
u4 1.187*** 1.074*** 1.086*** 1.057*** 1.048***
[0.152] [0.169] [0.175] [0.170] [0.174]
u5 0.837*** 0.726*** 0.736*** 0.704*** 0.694***
[0.148] [0.160] [0.165] [0.160] [0.164]
u6 0.972*** 0.869*** 0.874*** 0.854*** 0.848***
[0.163] [0.174] [0.176] [0.174] [0.174]
u7 0.732*** 0.638*** 0.642*** 0.641*** 0.635***
[0.175] [0.183] [0.184] [0.185] [0.184]
Constant -3.567*** -4.080*** -4.042*** -4.417*** -4.511***
[0.511] [0.616] [0.632] [0.643] [0.664]
Contemporaneous density -0.005 0.002 0.002 0.006 0.006
[0.004] [0.005] [0.005] [0.006] [0.006]
Contemporaneous density² / 1000 0.025* -0.001 -0.001 -0.010 -0.011
[0.015] [0.019] [0.019] [0.020] [0.020]
Founding density 0.003*** 0.001 0.001 0.003** 0.003**
[0.001] [0.001] [0.001] [0.002] [0.002]
Founding population age / 100 [all u] 0.039***
[0.013]
u ≤ 2
0.044***
[0.016]
u > 2
0.037**
[0.016]
Founding population age 1-5 years / 100
[all u]
-0.082*
[0.046]
u ≤ 2
-0.118*
[0.066]
u > 2
-0.070
[0.049]
Founding population age 5+ years / 100
[all u]
0.078***
[0.018]
u ≤ 2
0.092***
[0.027]
u > 2
0.072***
[0.022]
Tenure variance at founding / 100 [all u] -0.056
-0.103
[0.069]
[0.074]
u ≤ 2
-0.064
-0.145*
[0.070]
[0.082]
u > 2
-0.049
-0.087
[0.082]
[0.091]
Prior year foundings -0.010** -0.008 -0.007 -0.009* -0.010**
[0.005] [0.005] [0.005] [0.005] [0.005]
Prior year exit 0.025*** 0.022*** 0.022*** 0.021*** 0.021***
[0.003] [0.003] [0.003] [0.003] [0.004]
Real GDP per capita / 1000 0.018 0.058 0.055 0.083 0.090
[0.050] [0.071] [0.073] [0.072] [0.074]
Dummy WW (1/0) -0.001 -0.048 -0.047 0.015 0.013
[0.139] [0.142] [0.143] [0.143] [0.143]
Spells 20824 20824 20824 20824 20824
Number of firms 600 600 600 600 600
Events 580 580 580 580 580
Log pseudolikelihood -871.0 -867.2 -867.1 -864.2 -864.0
df 14 16 18 17 20
Wald Chi² 529.2 550.4 559.7 570.4 575.7
Note: Robust, firm-clustered standard errors in brackets.
*** p<0.01, ** p<0.05, * p<0.1.
Density Delay Revisited - 20 -
The basic model 1 for the German population of motorcycle producers in table 3 is consistent
with the prediction of density dependence. The coefficient for the density at the time of
founding shows the expected density delay. The effect, however, is small. Prior year exits
increase the risk of failure indicating an auto-correlation in exit rates and signaling a hostile
environment. Adding the variables founding population age / 100 and tenure variance at
founding / 100 in model 2 increases the explanatory power significantly.7 Increasing the
competitive intensity within a population by 100 years increases the delayed effect of the
competitive intensity at founding by about 10%. At its maximum (12.46) this results in a
130% increased risk of failure in comparison with its minimum value which is also more than
three times larger than the traditional density delay effect at its maximum compared to its
minimum in model 1 providing support for hypothesis H1. The traditional density delay
variable is now insignificant - in line with expectations. The tenure variance at founding / 100
is negative but also insignificant. Model 3 shows no significant change in the post trial period
thus supporting H4. In model 4 the separated clocks are included. The industry experience in
the first years does not impact the delayed effect of the competitive intensity at founding.
However, the experience of older firms shows a strong delayed effect increasing the hazard
rate of a new organization by about 0.2% with one year more industry tenure at the time of
founding of the new organization. At its maximum this effect (~ 221%) is over again much
larger than the single effect of founding population age / 100 or the classical density delay
effect. The tenure variance at founding / 100 is again negative and this time significant
supporting H2. Model 5 again supports the imprinting hypothesis.
The basic model 1 for the U.K. population shows quite similar results than the comparable
model for German manufacturers. The classical density delay is present but larger than in
Germany. The number of prior year foundings is negative and significant supporting the
prediction of population dynamics, prior year exits, however, again increase the risk of exit
running counter to population dynamics (Delacroix et al. 1989). Moreover, the British
industry seems to be characterized by a strictly competitive environment as only the squared
term of contemporaneous density is positive and significant. Model 2 again provides support
for H1 with founding population age / 100 being positive and significant. The tenure variance
at founding / 100 is negative though not significant. A dependence of the population from
contemporaneous density is no longer present.8 Model 3 supports H4. In model 4 it is shown
again that only older organizations increase the delayed effect of competitive intensity at
7 Chi
2 test for both variables together = 22.64***.
8 Chi
2 test of both variables contemporaneous density and contemporaneous density² / 1000 = 2.14.
Density Delay Revisited - 21 -
founding supporting H3. Younger firms in this population even reduce it. This is in line with
the prediction of a ‘liability of adolescence’ (Brüderl/Schüssler 1990). The experience of
older organizations at the time of founding of a new organization at its maximum increases
the hazard rate by 94% compared to its minimum value an effect that is larger than the effects
estimated for founding population age / 100 in model 2 or for the founding density in model 1.
Tenure variance at founding / 100 remains insignificant. Finally, when the separated clocks
are interacted with the variables of the trial and post trial period in model 5 support is not only
provided for H4 but partly also for H2. The tenure variance at founding / 100 now shows a
significant negative effect on failure rates as predicted for industry tenures of up to two years
indicating on the one hand that the effect is present but on the other that its imprinting is not
that strong.
Table 5 shows the results for the motorcycle producers in the U.S. In the basic model 1 the
industry is characterized by a strictly competitive environment with the contemporaneous
density² / 1000 showing a positive effect. Furthermore, the results do not indicate significant
effects with regard to density delay or population dynamics. The additional measures for the
competitive intensity at the time of founding of a new organization included in model 2 are
not significant, the density dependence process now is significant and in line with
expectations. Model 3 then clearly supports the imprinting hypothesis H4 as well as
hypotheses H1 and H2. In the U.S. industry it seems to take some time before imprinting
effects become dominant as only for organizations living more than two years the delayed
positive effect of founding population age / 100 and the negative effect of tenure variance at
founding / 100 on the failure rate are exhibited. In model 4 a unitary inspection of the two
separated clocks again does not show significant results. However, when these two clocks are
interacted with industry tenure all hypotheses are confirmed again for the post trial period.
Finally, table 6 presents the results for the Australian population. In the basic regression none
of the standard organizational ecology variables shows a significant effect - already indicating
that this population might be governed by special norms. Model 2 does not deliver on
expectations as the effect of founding population age / 100 is insignificant and the one of
tenure variance at founding / 100 is positive and significant running counter to H2. However,
model 3 confirms the imprinting hypothesis though for opposite delayed effects than
expected. Model 4 - including the two separated clocks - shows that the negative effect on the
hazard rates is attributable to older organizations and their tenure in the population. Model 5
shows again that imprinting might take some time but is present after a tenure of two years.
Density Delay Revisited - 22 -
Table 5: MLE of organizational failure rates – U.S. motorcycle producers
Variable (1) (2) (3) (4) (5)
u1 1.803*** 1.722*** 2.291*** 1.708*** 2.207***
[0.279] [0.283] [0.323] [0.285] [0.369]
u2 0.833*** 0.725** 1.260*** 0.717** 1.188***
[0.323] [0.340] [0.373] [0.341] [0.417]
u3 0.125 0.032 0.536 0.025 0.462
[0.329] [0.347] [0.373] [0.347] [0.412]
u4 0.041 -0.032 -0.516 -0.040 -0.556
[0.345] [0.364] [0.350] [0.364] [0.344]
u5 0.316 0.261 -0.146 0.255 -0.170
[0.306] [0.310] [0.298] [0.310] [0.290]
u6 0.246 0.215 -0.098 0.212 -0.103
[0.321] [0.318] [0.294] [0.318] [0.289]
u7 -0.487 -0.487 -0.716* -0.498 -0.743**
[0.399] [0.398] [0.370] [0.400] [0.371]
Constant -1.634*** -1.498*** -2.264*** -1.497*** -2.216***
[0.472] [0.474] [0.457] [0.479] [0.506]
Contemporaneous density -0.023 -0.030** -0.003 -0.028** 0.002
[0.016] [0.014] [0.015] [0.014] [0.015]
Contemporaneous density² / 1000 0.554*** 0.655*** 0.454*** 0.632*** 0.409**
[0.178] [0.172] [0.172] [0.176] [0.176]
Founding density -0.005 -0.009 -0.018** -0.008 -0.015*
[0.007] [0.008] [0.008] [0.008] [0.008]
Founding population age / 100 [all u] 0.159
[0.112]
u ≤ 2
-0.173
[0.121]
u > 2
0.664***
[0.182]
Founding population age 1-5 years / 100
[all u]
0.046
[0.224]
u ≤ 2
-0.337
[0.279]
u > 2
0.359
[0.308]
Founding population age 5+ years / 100
[all u]
0.312
[0.251]
u ≤ 2
0.013
[0.335]
u > 2
1.152***
[0.409]
Tenure variance at founding / 100 [all u] -0.147
-0.181
[0.129]
[0.152]
u ≤ 2
-0.063
-0.087
[0.111]
[0.160]
u > 2
-0.355**
-0.507**
[0.162]
[0.208]
Prior year foundings -0.021 -0.005 -0.022 -0.006 -0.026
[0.017] [0.020] [0.020] [0.020] [0.020]
Prior year exit 0.008 -0.008 0.007 -0.009 0.007
[0.020] [0.022] [0.023] [0.022] [0.023]
Real GDP per capita / 1000 -0.043 -0.030 0.017 -0.035 0.008
[0.028] [0.045] [0.045] [0.044] [0.046]
Dummy WW (1/0) 0.549*** 0.602*** 0.511*** 0.595*** 0.491**
[0.182] [0.187] [0.195] [0.188] [0.202]
Spells 4654 4654 4654 4654 4654
Number of firms 285 285 285 285 285
Events 283 283 283 283 283
Log pseudolikelihood -430.0 -428.8 -418.7 -428.7 -418.0
df 14 16 18 17 20
Wald Chi² 388.4 374.8 351.1 382.2 366.0
Note: Robust, firm-clustered standard errors in brackets.
Density Delay Revisited - 23 -
*** p<0.01, ** p<0.05, * p<0.1.
Table 6: MLE of organizational failure rates – Australian motorcycle producers
Variable (1) (2) (3) (4) (5)
u1 2.129*** 2.116*** 2.122*** 2.132*** 2.086***
[0.213] [0.287] [0.303] [0.293] [0.326]
u2 1.093*** 1.082*** 1.084*** 1.090*** 1.046***
[0.273] [0.332] [0.344] [0.338] [0.368]
u3 0.365 0.344 0.343 0.349 0.305
[0.279] [0.330] [0.341] [0.336] [0.373]
u4 0.516* 0.487 0.464 0.480 0.513
[0.271] [0.311] [0.346] [0.317] [0.368]
u5 0.456* 0.428 0.422 0.408 0.445
[0.258] [0.288] [0.319] [0.294] [0.344]
u6 0.283 0.258 0.260 0.232 0.263
[0.282] [0.298] [0.319] [0.303] [0.338]
u7 0.421 0.409 0.416 0.389 0.412
[0.272] [0.284] [0.299] [0.284] [0.311]
Constant -3.798*** -4.003*** -4.092*** -4.015*** -4.047***
[0.602] [0.762] [0.780] [0.789] [0.815]
Contemporaneous density -0.011 -0.008 -0.008 -0.012 -0.013
[0.009] [0.011] [0.012] [0.011] [0.013]
Contemporaneous density² / 1000 0.041 0.025 0.020 0.044 0.040
[0.060] [0.070] [0.072] [0.072] [0.077]
Founding density -0.002 0.005 0.005 0.003 0.005
[0.003] [0.005] [0.006] [0.005] [0.006]
Founding population age / 100 [all u]
-0.227
[0.142]
u ≤ 2
-0.219
[0.146]
u > 2
-0.303*
[0.168]
Founding population age 1-5 years / 100
[all u]
0.020
[0.212]
u ≤ 2
0.021
[0.265]
u > 2
-0.026
[0.255]
Founding population age 5+ years / 100
[all u]
-0.847**
[0.391]
u ≤ 2
-0.756
[0.528]
u > 2
-1.253**
[0.631]
Tenure variance at founding / 100 [all u]
2.012**
3.593***
[0.955]
[1.305]
u ≤ 2
1.597
2.962*
[1.140]
[1.730]
u > 2
3.951***
6.177***
[1.269]
[1.955]
Prior year foundings 0.014 0.012 0.012 0.017 0.018
[0.014] [0.014] [0.014] [0.015] [0.016]
Prior year exit -0.016 -0.016 -0.015 -0.019 -0.019
[0.010] [0.011] [0.011] [0.011] [0.012]
Real GDP per capita / 1000 0.364*** 0.359*** 0.375*** 0.362*** 0.376***
[0.103] [0.133] [0.133] [0.138] [0.140]
Dummy WW (1/0) 1.267*** 1.306*** 1.325*** 1.422*** 1.449***
[0.251] [0.262] [0.261] [0.282] [0.307]
Spells 4492 4492 4492 4492 4492
Number of firms 321 321 321 321 321
Events 317 317 317 317 317
Log pseudolikelihood -460.7 -459.4 -458.8 -458.1 -457.1
df 14 16 18 17 20
Density Delay Revisited - 24 -
Wald Chi² 421.1 425.8 425.7 406.6 423.9
Note: Robust, firm-clustered standard errors in brackets.
*** p<0.01, ** p<0.05, * p<0.1.
One part of a possible explanation for the effects estimated may be a high dependence of the
Australian industry on imported vendor parts. It is possible that as “the vast majority of these
machines were assembled from imported components such as JAP engines and Sun frames”
(Fleming 2011) these manufactures developed certain routines to deal with the imported parts
but experienced a ‘competence trap’ (Levitt/March 1988) as they aged. When the imported
components the Australian firms were used to changed a lot over time and when the firms
were not able to adapt to new components due to inertia, an effect as estimated can be
explained. In this population the tenure variance at founding / 100 also seems generally to
signal a complex environment and not chances in unoccupied niches.
Taken together the populations in Germany, Great Britain and the U.S.A. provide support for
the hypotheses H1 and H2 whereas in Australia opposing effects are estimated. H3 and H4
find support in all four populations.
5 Discussion
The survival and death of organizations is a phenomenon of great interest to business scholars
as long-term survival is not only a basic goal for business ventures but also a fundamental
requirement for success in other terms (Suárez/Utterback 1995). The study at hand built on
previous research in the domain of organizational ecology and investigated hypotheses about
delayed effects of the competitive intensity at the time of founding of a new organization on
mortality rates. Two central questions were (1) whether a specific path-dependency in the
evolution of a population constrained by the conditions at founding of each organization can
be identified or if the evolution is rather governed by a process of historical efficiency
(March/Olsen 1989; Lomi/Larsen 1998) and (2) whether the proposed measures for the
competitive intensity at founding are capable of theoretically extending the classical density
delay concept. Data on four populations of motorcycle producers in Germany, the United
Kingdom, the United States of America and Australia were analyzed using piecewise
exponential hazard rate models to test the developed hypotheses. Based on previous research
especially in a contemporaneous density dependence setting, I argued that organizations will
exert more delayed competitive pressure as they get older and gain more industry experience.
However, at the same time industry experience gained at different time periods in the
evolution of an industry or in different periods of organizational existence might not exert the
same delayed effects of the competitive intensity at the time of founding of a new
organization. The estimates for the populations in Germany, the U.K. and the U.S.A. show
Density Delay Revisited - 25 -
that not all organizations have the same delayed effect on failure rates as predicted by the
traditional density delay concept but that older organizations contribute more to this effect.
Most of the delayed effect of the competitive intensity at founding is attributable to old
organizations with more industry experience and a head start in growth that already survived
their initial years of adolescence (Brüderl/Schüssler 1990). Opposing results for Australia
where old organizations even lower the delayed effect of the competitive intensity at founding
seem to result from a ‘competence trap’ (Levitt/March 1988) as the special industry structure
in Australia made the producers heavily dependent on imported parts.
I also argued that co-evolutionary processes present at the time of founding constrain
incumbent firms from concentrating their competitive efforts towards the new entrant and
signal chances in a multidimensional resource space (Péli/Nooteboom 1999) resulting in a
delayed effect that lowers the failure rate. Again the estimates for the German, U.K. and U.S.
population at least partly support this argumentation whereas the results for Australia
contradict it. All results strongly support the notion of an imprinting effect of the
environmental conditions at founding (Stinchcombe 1965), clearly ruling out a history
efficient evolutionary process (March/Olsen 1989).
Taken together the study not only shows that there is a historical path-dependency present in
the evolution of organizational populations but also that concepts developed in a
contemporaneous density dependence setting can be used to analyze delayed and imprinted
effects of the competitive intensity at founding. This emphasizes the importance and
generality of organizational ecological concepts.
For potential entrepreneurs the study shows how important the correct timing of founding of a
new venture is as it has a lasting impact on the survival chances of the business. The results
indicate that entrepreneurs should enter into markets where there are only few old incumbents
present or where those incumbents suffer from a competence trap. Young competitors that
entered recently do not seem to pose a severe delayed threat. At the same time situations
where unoccupied niches are available for new entrants where they can avoid intense direct
competition seem to be advantageous.
However, this advice comes not without some caution. As all investigated populations consist
of motorcycle producers though in different regions of the world, the generalization of the
results is limited. A further limitation of the study at hand but inherent to many research
projects covering long and distant past time periods of complete organizational populations is
data availability. As firm specific information was basically not available a control for those
effects was precluded. Unobserved factors affecting individual frailty and estimated effects in
this study therefore cannot be ruled out completely.
Density Delay Revisited - 26 -
A remaining question is whether the theoretical argumentation provided is a further
theoretical building block in organizational ecology to explain the usual observable shakeout
in firm numbers more completely as “observed declines [in population density] are generally
steeper than what would be implied by estimated density-delay effects” (Carroll/Hannan
2000, p. 243). The results are promising as in three populations the proposed measures show
larger estimated delayed effects of the competitive intensity at founding than the traditional
density delay measure. A closer assessment of the measures in other populations as well as in
a stochastic birth-death model therefore is a further avenue of research.
Density Delay Revisited - 27 -
Appendix
Annex 1: Explanatory variables
Variable Description
Contemporaneous density Population density in year t
Contemporaneous density² / 1000 Squared population density in year t divided by 1000
Founding density Population density in the year of founding of a new organization
Founding population age / 100 Aggregated age of incumbents in the year of founding of an
organization
Founding population age 1-5
years / 100
Aggregated age of incumbents in the year of founding of an
organization over the first 5 years divided by 100
Founding population age 5+ years
/ 100
Aggregated age of incumbents in the year of founding of an
organization over all years greater than 5 years divided by 100
Tenure variance at founding / 100 Variance in the organizational ages of incumbents in the year of
founding of an organization divided by 100
Prior year foundings Number of organizational foundings in the year preceding t
Prior year exits Number of organizational failures in the year preceding t
Real GDP per capita / 1000 Real gross domestic product per capita in year t (in 1000s of 1990
international Stone-Geary dollars)
Dummy WW (1/0) Dummy variable for the time of the First and Second World War
Density Delay Revisited - 28 -
Annex 2: Descriptive statistics for variables at the time of entry of each organization
Variable N Mean SD Median Min Max
Germany
Contemporaneous density 613 218.990 136.367 279.000 1.000 392.000
Contemporaneous density² / 1000 613 66.522 60.533 77.841 0.001 153.664
Founding density 613 218.990 136.367 279.000 1.000 392.000
Founding population age / 100 613 7.813 3.106 7.630 0.000 12.460
Founding population age 1-5 years / 100 613 3.632 2.015 3.620 0.000 7.060
Founding population age 5+ years / 100 613 4.181 1.997 4.010 0.000 9.990
Tenure variance at founding / 100 613 0.672 0.780 0.488 0.000 6.369
Prior year foundings 613 58.625 48.298 59.000 0.000 129.000
Prior year exit 613 17.661 31.056 6.000 0.000 152.000
Real GDP per capita / 1000 613 3.556 1.183 3.417 2.721 15.257
Dummy WW (1/0) 613 0.003 - 0 0 1
U.K.
Contemporaneous density 600 134.068 60.021 145.000 1.000 224.000
Contemporaneous density² / 1000 600 21.571 15.253 21.025 0.001 50.176
Founding density 600 134.068 60.021 145.000 1.000 224.000
Founding population age / 100 600 8.477 5.499 8.810 0.000 16.620
Founding population age 1-5 years / 100 600 3.785 2.084 4.530 0.000 6.830
Founding population age 5+ years / 100 600 4.692 4.025 3.660 0.000 11.570
Tenure variance at founding / 100 600 0.642 1.431 0.196 0.000 8.681
Prior year foundings 600 22.640 19.602 20.000 0.000 59.000
Prior year exit 600 9.718 12.519 5.000 0.000 49.000
Real GDP per capita / 1000 600 5.014 1.171 4.651 4.238 12.742
Dummy WW (1/0) 600 0.045 - 0 0 1
U.S.A
Contemporaneous density 285 38.035 19.886 46.000 1.000 67.000
Contemporaneous density² / 1000 285 1.841 1.476 2.116 0.001 4.489
Founding density 285 38.035 19.886 46.000 1.000 67.000
Founding population age / 100 285 1.137 0.763 0.990 0.000 2.440
Founding population age 1-5 years / 100 285 0.750 0.521 0.550 0.000 1.630
Founding population age 5+ years / 100 285 0.387 0.419 0.260 0.000 1.400
Tenure variance at founding / 100 285 0.478 0.924 0.049 0.000 4.508
Prior year foundings 285 9.519 8.433 7.000 0.000 36.000
Prior year exit 285 7.186 6.133 6.000 0.000 36.000
Real GDP per capita / 1000 285 5.514 2.033 4.970 3.318 15.158
Dummy WW (1/0) 285 0.105 - 0 0 1
Australia
Contemporaneous density 321 68.333 30.236 75.000 1.000 115.000
Contemporaneous density² / 1000 321 5.581 4.083 5.625 0.001 13.225
Founding density 321 68.333 30.236 75.000 1.000 115.000
Founding population age / 100 321 2.171 1.336 2.250 0.000 4.040
Founding population age 1-5 years / 100 321 1.600 0.917 1.850 0.000 2.860
Founding population age 5+ years / 100 321 0.571 0.483 0.560 0.000 1.260
Tenure variance at founding / 100 321 0.087 0.083 0.081 0.000 0.454
Prior year foundings 321 17.255 8.560 18.000 0.000 32.000
Prior year exit 321 13.589 10.855 9.000 0.000 44.000
Real GDP per capita / 1000 321 5.031 0.509 4.981 3.663 7.601
Dummy WW (1/0) 321 0.237 - 0 0 1
Density Delay Revisited - 29 -
Annex 3: Correlation table for variables at the time of entry of each organization – German motorcycle producers
Variable [1] [2] [3] [4] [5] [6] [7] [8] [9] [10] [11]
[1] Contemporaneous density 1
[2] Contemporaneous density² / 1000 0.967* 1
[3] Founding density 1 0.967* 1
[4] Founding population age / 100 0.569* 0.641* 0.569* 1
[5] Founding population age 1-5 years / 100 0.854* 0.837* 0.854* 0.802* 1
[6] Founding population age 5+ years / 100 0.335* 0.443* 0.335* 0.951* 0.578* 1
[7] Tenure variance at founding / 100 -0.395* -0.280* -0.395* 0.200* -0.215* 0.385* 1
[8] Prior year foundings 0.634* 0.652* 0.634* 0.063 0.241* -0.039 -0.275* 1
[9] Prior year exit 0.373* 0.365* 0.373* 0.443* 0.538* 0.326* -0.081* 0.085* 1
[10] Real GDP per capita / 1000 -0.485* -0.404* -0.485* 0.073 -0.290* 0.250* 0.962* -0.388* -0.195* 1
[11] Dummy WW (1/0) 0.012 -0.014 0.012 0.077 0.128* 0.040 -0.029 -0.044 0.099* 0.067 1
Note: Bravais / Pearson correlation coefficients are displayed for pair wise continuous variables and point-biserial correlation coefficients for dichotomous / continuous pairs
of variables; * p≤0.05.
Annex 4: Correlation table for variables at the time of entry of each organization – U.K. motorcycle producers
Variable [1] [2] [3] [4] [5] [6] [7] [8] [9] [10] [11]
[1] Contemporaneous density 1
[2] Contemporaneous density² / 1000 0.967* 1
[3] Founding density 1 0.967* 1
[4] Founding population age / 100 0.569* 0.641* 0.569* 1
[5] Founding population age 1-5 years / 100 0.854* 0.837* 0.854* 0.802* 1
[6] Founding population age 5+ years / 100 0.335* 0.443* 0.335* 0.951* 0.578* 1
[7] Tenure variance at founding / 100 -0.395* -0.280* -0.395* 0.200* -0.215* 0.385* 1
[8] Prior year foundings 0.634* 0.652* 0.634* 0.063 0.241* -0.039 -0.275* 1
[9] Prior year exit 0.373* 0.365* 0.373* 0.443* 0.538* 0.326* -0.081* 0.085* 1
[10] Real GDP per capita / 1000 -0.485* -0.404* -0.485* 0.073 -0.290* 0.250* 0.962* -0.388* -0.195* 1
[11] Dummy WW (1/0) 0.012 -0.014 0.012 0.077 0.128* 0.040 -0.029 -0.044 0.099* 0.067 1
Note: Bravais / Pearson correlation coefficients are displayed for pair wise continuous variables and point-biserial correlation coefficients for dichotomous / continuous pairs of
variables; * p≤0.05.
Density Delay Revisited - 30 -
Annex 5: Correlation table for variables at the time of entry of each organization – U.S. motorcycle producers
Variable [1] [2] [3] [4] [5] [6] [7] [8] [9] [10] [11]
[1] Contemporaneous density 1
[2] Contemporaneous density² / 1000 0.975* 1
[3] Founding density 1 0.975* 1
[4] Founding population age / 100 0.205* 0.149* 0.205* 1
[5] Founding population age 1-5 years / 100 0.566* 0.477* 0.566* 0.853* 1
[6] Founding population age 5+ years / 100 -0.331* -0.323* -0.331* 0.760* 0.309* 1
[7] Tenure variance at founding / 100 -0.597* -0.527* -0.597* 0.154* -0.301* 0.654* 1
[8] Prior year foundings 0.679* 0.677* 0.679* -0.206* 0.054 -0.442* -0.465* 1
[9] Prior year exit 0.640* 0.636* 0.640* 0.136* 0.335* -0.168* -0.431* 0.819* 1
[10] Real GDP per capita / 1000 -0.465* -0.418* -0.465* 0.307* -0.125* 0.714* 0.892* -0.394* -0.319* 1
[11] Dummy WW (1/0) -0.200* -0.248* -0.200* 0.144* 0.054 0.196* 0.034 -0.189* 0.087 0.094 1
Note: Bravais / Pearson correlation coefficients are displayed for pair wise continuous variables and point-biserial correlation coefficients for dichotomous / continuous pairs of
variables; * p≤0.05.
Annex 6: Correlation table for variables at the time of entry of each organization – Australian motorcycle producers
Variable [1] [2] [3] [4] [5] [6] [7] [8] [9] [10] [11]
[1] Contemporaneous density 1
[2] Contemporaneous density² / 1000 0.973* 1
[3] Founding density 1 0.973* 1
[4] Founding population age / 100 0.851* 0.859* 0.851* 1
[5] Founding population age 1-5 years / 100 0.910* 0.891* 0.910* 0.976* 1
[6] Founding population age 5+ years / 100 0.626* 0.684* 0.626* 0.911* 0.800* 1
[7] Tenure variance at founding / 100 0.142* 0.202* 0.142* 0.556* 0.395* 0.788* 1
[8] Prior year foundings 0.699* 0.621* 0.699* 0.492* 0.545* 0.324* -0.058 1
[9] Prior year exit 0.528* 0.482* 0.528* 0.656* 0.642* 0.596* 0.319* 0.626* 1
[10] Real GDP per capita / 1000 0.331* 0.288* 0.331* 0.487* 0.476* 0.442* 0.507* 0.004 -0.018 1
[11] Dummy WW (1/0) 0.485* 0.519* 0.485* 0.651* 0.596* 0.668* 0.350* 0.337* 0.802* -0.151* 1
Note: Bravais / Pearson correlation coefficients are displayed for pair wise continuous variables and point-biserial correlation coefficients for dichotomous / continuous pairs of
variables; * p≤0.05.
Density Delay Revisited - 31 -
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