Category Archives: scale

The CFO as Chief Option Architect: Embracing Uncertainty

Part I: Embracing the Options Mindset

This first half explores the philosophical and practical foundation of real options thinking, scenario-based planning, and the CFO’s evolving role in navigating complexity. The voice is grounded in experience, built on systems thinking, and infused with a deep respect for the unpredictability of business life.

I learned early that finance, for all its formulas and rigor, rarely rewards control. In one of my earliest roles, I designed a seemingly watertight budget, complete with perfectly reconciled assumptions and cash flow projections. The spreadsheet sang. The market didn’t. A key customer delayed a renewal. A regulatory shift in a foreign jurisdiction quietly unraveled a tax credit. In just six weeks, our pristine model looked obsolete. I still remember staring at the same Excel sheet and realizing that the budget was not a map, but a photograph, already out of date. That moment shaped much of how I came to see my role as a CFO. Not as controller-in-chief, but as architect of adaptive choices.

The world has only become more uncertain since. Revenue operations now sit squarely in the storm path of volatility. Between shifting buying cycles, hybrid GTM models, and global macro noise, what used to be predictable has become probabilistic. Forecasting a quarter now feels less like plotting points on a trendline and more like tracing potential paths through fog. It is in this context that I began adopting and later, championing, the role of the CFO as “Chief Option Architect.” Because when prediction fails, design must take over.

This mindset draws deeply from systems thinking. In complex systems, what matters is not control, but structure. A system that adapts will outperform one that resists. And the best way to structure flexibility, I have found, is through the lens of real options. Borrowed from financial theory, real options describe the value of maintaining flexibility under uncertainty. Instead of forcing an all-in decision today, you make a series of smaller decisions, each one preserving the right, but not the obligation, to act in a future state. This concept, though rooted in asset pricing, holds powerful relevance for how we run companies.

When I began modeling capital deployment for new GTM motions, I stopped thinking in terms of “budget now, or not at all.” Instead, I started building scenario trees. Each branch represented a choice: deploy full headcount at launch or split into a two-phase pilot with a learning checkpoint. Invest in a new product SKU with full marketing spend, or wait for usage threshold signals to pass before escalation. These decision trees capture something that most budgets never do—the reality of the paths not taken, the contingencies we rarely discuss. And most importantly, they made us better at allocating not just capital, but attention. I am sharing my Bible on this topic, which was referred to me by Dr. Alexander Cassuto at Cal State Hayward in the Econometrics course. It was definitely more pleasant and easier to read than Jiang’s book on Econometrics.

This change in framing altered my approach to every part of revenue operations. Take, for instance, the deal desk. In traditional settings, deal desk is a compliance checkpoint where pricing, terms, and margin constraints are reviewed. But when viewed through an options lens, the deal desk becomes a staging ground for strategic bets. A deeply discounted deal might seem reckless on paper, but if structured with expansion clauses, usage gates, or future upsell options, it can behave like a call option on account growth. The key is to recognize and price the option value. Once I began modeling deals this way, I found we were saying “yes” more often, and with far better clarity on risk.

Data analytics became essential here not for forecasting the exact outcome, but for simulating plausible ones. I leaned heavily on regression modeling, time-series decomposition, and agent-based simulation. We used R to create time-based churn scenarios across customer cohorts. We used Arena to simulate resource allocation under delayed expansion assumptions. These were not predictions. They were controlled chaos exercises, designed to show what could happen, not what would. But the power of this was not just in the results, but it was in the mindset it built. We stopped asking, “What will happen?” and started asking, “What could we do if it does?”

From these simulations, we developed internal thresholds to trigger further investment. For example, if three out of five expansion triggers were fired, such as usage spike, NPS improvement, and additional department adoption, then we would greenlight phase two of GTM spend. That logic replaced endless debate with a predefined structure. It also gave our board more confidence. Rather than asking them to bless a single future, we offered a roadmap of choices, each with its own decision gates. They didn’t need to believe our base case. They only needed to believe we had options.

Yet, as elegant as these models were, the most difficult challenge remained human. People, understandably, want certainty. They want confidence in forecasts, commitment to plans, and clarity in messaging. I had to coach my team and myself to get comfortable with the discomfort of ambiguity. I invoked the concept of bounded rationality from decision science: we make the best decisions we can with the information available to us, within the time allotted. There is no perfect foresight. There is only better framing.

This is where the law of unintended consequences makes its entrance. In traditional finance functions, overplanning often leads to rigidity. You commit to hiring plans that no longer make sense three months in. You promise CAC thresholds that collapse under macro pressure. You bake linearity into a market that moves in waves. When this happens, companies double down, pushing harder against the wrong wall. But when you think in options, you pull back when the signal tells you to. You course-correct. You adapt. And paradoxically, you appear more stable.

As we embedded this thinking deeper into our revenue operations, we also became more cross-functional. Sales began to understand the value of deferring certain go-to-market investments until usage signals validated demand. Product began to view feature development as portfolio choices: some high-risk, high-return, others safer but with less upside. Customer Success began surfacing renewal and expansion probabilities not as binary yes/no forecasts, but as weighted signals on a decision curve. The shared vocabulary of real options gave us a language for navigating ambiguity together.

We also brought this into our capital allocation rhythm. Instead of annual budget cycles, we moved to rolling forecasts with embedded thresholds. If churn stayed below 8% and expansion held steady, we would greenlight an additional five SDRs. If product-led growth signals in EMEA hit critical mass, we’d fund a localized support pod. These weren’t whims. They were contingent commitments, bound by logic, not inertia. And that changed everything.

The results were not perfect. We made wrong bets. Some options expired worthless. Others took longer to mature than we expected. But overall, we made faster decisions with greater alignment. We used our capital more efficiently. And most of all, we built a culture that didn’t flinch at uncertainty—but designed for it.

In the next part of this essay, I will go deeper into the mechanics of implementing this philosophy across the deal desk, QTC architecture, and pipeline forecasting. I will also show how to build dashboards that visualize decision trees and option paths, and how to teach your teams to reason probabilistically without losing speed. Because in a world where volatility is the only certainty, the CFO’s most enduring edge is not control, but it is optionality, structured by design and deployed with discipline.

Part II: Implementing Option Architecture Inside RevOps

A CFO cannot simply preach agility from a whiteboard. To embed optionality into the operational fabric of a company, the theory must show up in tools, in dashboards, in planning cadences, and in the daily decisions made by deal desks, revenue teams, and systems owners. I have found that fundamental transformation comes not from frameworks, but from friction—the friction of trying to make the idea work across functions, under pressure, and at scale. That’s where option thinking proves its worth.

We began by reimagining the deal desk, not as a compliance stop but as a structured betting table. In conventional models, deal desks enforce pricing integrity, review payment terms, and ensure T’s and C’s fall within approved tolerances. That’s necessary, but not sufficient. In uncertain environments—where customer buying behavior, competitive pressure, or adoption curves wobble without warning: rigid deal policies become brittle. The opportunity lies in recasting the deal desk as a decision node within a larger options tree.

Consider a SaaS enterprise deal involving land-and-expand potential. A rigid model forces either full commitment upfront or defers expansion, hoping for a vague “later.” But if we treat the deal like a compound call option, we see more apparent logic. You price the initial land deal aggressively, with usage-based triggers that, when met, unlock favorable expansion terms. You embed a re-pricing clause if usage crosses a defined threshold in 90 days. You insert a “soft commit” expansion clause tied to the active user count. None of these is just a term. They are embedded with real options. And when structured well, they deliver upside without requiring the customer to commit to uncertain future needs.

In practice, this approach meant reworking CPQ systems, retraining legal, and coaching reps to frame options credibly. We designed templates with optionality clauses already coded into Salesforce workflows. Once an account crossed a pre-defined trigger say, 80% license utilization, then the next best action flowed to the account executive and customer success manager. The logic wasn’t linear. It was branching. We visualized deal paths in a way that corresponds to mapping a decision tree in a risk-adjusted capital model.

Yet even the most elegant structure can fail if the operating rhythm stays linear. That is why we transitioned away from rigid quarterly forecasts toward rolling scenario-based planning. Forecasting ceased to be a spreadsheet contest. Instead, we evaluated forecast bands, not point estimates. If base churn exceeded X% in a specific cohort, how did that impact our expansion coverage ratio? If deal velocity in EMEA slowed by two weeks, how would that compress the bookings-to-billings gap? We visualized these as cascading outcomes, not just isolated misses.

To build this capability, we used what I came to call “option dashboards.” These were layered, interactive models with inputs tied to a live pipeline and post-sale telemetry. Each card on the dashboard represented a decision node—an inflection point. Would we deploy more headcount into SMB if the average CAC-to-LTV fell below 3:1? Would we pause feature rollout in one region to redirect support toward a segment with stronger usage signals? Each choice was pre-wired with boundary logic. The decisions didn’t live in a drawer—they lived in motion.

Building these dashboards required investment. But more than tools, it required permission. Teams needed to know they could act on signal, not wait for executive validation every time a deviation emerged. We institutionalized the language of “early signal actionability.” If revenue leaders spotted a decline in renewal health across a cluster of customers tied to the same integration module, they didn’t wait for a churn event. They pulled forward roadmap fixes. That wasn’t just good customer service, but it was real options in flight.

This also brought a new flavor to our capital allocation rhythm. Rather than annual planning cycles that locked resources into static swim lanes, we adopted gated resourcing tied to defined thresholds. Our FP&A team built simulation models in Python and R, forecasting the expected value of a resourcing move based on scenario weightings. For example, if a new vertical showed a 60% likelihood of crossing a 10-deal threshold by mid-Q3, we pre-approved GTM spend to activate contingent on hitting that signal. This looked cautious to some. But in reality, it was aggressive and in the right direction, at the right moment.

Throughout all of this, I kept returning to a central truth: uncertainty punishes rigidity, but rewards those who respect its contours. A pricing policy that cannot flex will leave margin on the table or kill deals in flight. A hiring plan that commits too early will choke working capital. And a CFO who waits for clarity before making bets will find they arrive too late. In decision theory, we often talk about “the cost of delay” versus “the cost of error.” A good options model minimizes both, which, interestingly, is not by being just right, but by being ready.

Of course, optionality without discipline can devolve into indecision. We embedded guardrails. We defined thresholds that made decision inertia unacceptable. If a cohort’s NRR dropped for three consecutive months and win-back campaigns failed, we sunsetted that motion. If a beta feature was unable to hit usage velocity within a quarter, we reallocated the development budget. These were not emotional decisions, but they were logical conclusions of failed options. And we celebrated them. A failed option, tested and closed, beats a zombie investment every time.

We also revised our communication with the board. Instead of defending fixed forecasts, we presented probability-weighted trees. “If churn holds, and expansion triggers fire, we’ll beat target by X.” “If macro shifts pull SMB renewals down by 5%, we stay within plan by flexing mid-market initiatives.” This shifted the conversation from finger-pointing to scenario readiness. Investors liked it. More importantly, so did the executive team. We could disagree on base assumptions but still align on decisions because we’d mapped the branches ahead of time.

One area where this thought made an outsized impact was compensation planning. Sales comp is notoriously fragile under volatility. We redesigned quota targets and commission accelerators using scenario bands, not fixed assumptions. We tested payout curves under best, base, and downside cases. We then ran Monte Carlo simulations to see how frequently actuals would fall into the “too much upside” or “demotivating downside” zones. This led to more durable comp plans, which meant fewer panicked mid-year resets. Our reps trusted the system. And our CFO team could model cost predictability with far greater confidence.

In retrospection, all these loops back to a single mindset shift: you don’t plan to be right. You plan to stay in the game. And staying in the game requires options that are well-designed, embedded into the process, and respected by every function. Sales needs to know they can escalate an expansion offer once particular customer signals fire. Success needs to know they have the budget authority to engage support when early churn flags arise. Product needs to know they can pause a roadmap stream if NPV no longer justifies it. And finance needs to know that its most significant power is not in control, but in preparation.

Today, when I walk into a revenue operations review or a strategic planning offsite, I do not bring a budget with fixed forecasts. I get a map. It has branches. It has signals. It has gates. And it has options, and each one designed not to predict the future, but to help us meet it with composure, and to move quickly when the fog clears.

Because in the world I have operated in, spanning economic cycles, geopolitical events, sudden buyer hesitation, system failures, and moments of exponential product success since 1994 until now, one principle has held. The companies that win are not the ones who guess right. They are the ones who remain ready. And readiness, I have learned, is the true hallmark of a great CFO.

Precision at Scale: How to Grow Without Drowning in Complexity

In business, as in life, scale is seductive. It promises more of the good things—revenue, reach, relevance. But it also invites something less welcome: complexity. And the thing about complexity is that it doesn’t ask for permission before showing up. It simply arrives, unannounced, and tends to stay longer than you’d like.

As we pursue scale, whether by growing teams, expanding into new markets, or launching adjacent product lines, we must ask a question that seems deceptively simple: how do we know we’re scaling the right way? That question is not just philosophical—it’s deeply economic. The right kind of scale brings leverage. The wrong kind brings entropy.

Now, if I’ve learned anything from years of allocating capital, it is this: returns come not just from growth, but from managing the cost and coordination required to sustain that growth. In fact, the most successful enterprises I’ve seen are not the ones that scaled fastest. They’re the ones that scaled precisely. So, let’s get into how one can scale thoughtfully, without overinvesting in capacity, and how to tell when the system you’ve built is either flourishing or faltering.

To begin, one must understand that scale and complexity do not rise in parallel; complexity has a nasty habit of accelerating. A company with two teams might have a handful of communication lines. Add a third team, and you don’t just add more conversations—you add relationships between every new and existing piece. In engineering terms, it’s a combinatorial explosion. In business terms, it’s meetings, misalignment, and missed expectations.

Cities provide a useful analogy. When they grow in population, certain efficiencies appear. Infrastructure per person often decreases, creating cost advantages. But cities also face nonlinear rises in crime, traffic, and disease—all manifestations of unmanaged complexity. The same is true in organizations. The system pays a tax for every additional node, whether that’s a service, a process, or a person. That tax is complexity, and it compounds.

Knowing this, we must invest in capacity like we would invest in capital markets—with restraint and foresight. Most failures in capacity planning stem from either a lack of preparation or an excess of confidence. The goal is to invest not when systems are already breaking, but just before the cracks form. And crucially, to invest no more than necessary to avoid those cracks.

Now, how do we avoid overshooting? I’ve found that the best approach is to treat capacity like runway. You want enough of it to support takeoff, but not so much that you’ve spent your fuel on unused pavement. We achieve this by investing in increments, triggered by observable thresholds. These thresholds should be quantitative and predictive—not merely anecdotal. If your servers are running at 85 percent utilization across sustained peak windows, that might justify additional infrastructure. If your engineering lead time starts rising despite team growth, it suggests friction has entered the system. Either way, what you’re watching for is not growth alone, but whether the system continues to behave elegantly under that growth.

Elegance matters. Systems that age well are modular, not monolithic. In software, this might mean microservices that scale independently. In operations, it might mean regional pods that carry their own load, instead of relying on a centralized command. Modular systems permit what I call “selective scaling”—adding capacity where needed, without inflating everything else. It’s like building a house where you can add another bedroom without having to reinforce the foundation. That kind of flexibility is worth gold.

Of course, any good decision needs a reliable forecast behind it. But forecasting is not about nailing the future to a decimal point. It is about bounding uncertainty. When evaluating whether to scale, I prefer forecasts that offer a range—base, best, and worst-case scenarios—and then tie investment decisions to the 75th percentile of demand. This ensures you’re covering plausible upside without betting on the moon.

Let’s not forget, however, that systems are only as good as the signals they emit. I’m wary of organizations that rely solely on lagging indicators like revenue or margin. These are important, but they are often the last to move. Leading indicators—cycle time, error rates, customer friction, engineer throughput—tell you much sooner whether your system is straining. In fact, I would argue that latency, broadly defined, is one of the clearest signs of stress. Latency in delivery. Latency in decisions. Latency in feedback. These are the early whispers before systems start to crack.

To measure whether we’re making good decisions, we need to ask not just if outcomes are improving, but if the effort to achieve them is becoming more predictable. Systems with high variability are harder to scale because they demand constant oversight. That’s a recipe for executive burnout and organizational drift. On the other hand, systems that produce consistent results with declining variance signal that the business is not just growing—it’s maturing.

Still, even the best forecasts and the finest metrics won’t help if you lack the discipline to say no. I’ve often told my teams that the most underrated skill in growth is the ability to stop. Stopping doesn’t mean failure; it means the wisdom to avoid doubling down when the signals aren’t there. This is where board oversight matters. Just as we wouldn’t pour more capital into an underperforming asset without a turn-around plan, we shouldn’t scale systems that aren’t showing clear returns.

So when do we stop? There are a few flags I look for. The first is what I call capacity waste—resources allocated but underused, like a datacenter running at 20 percent utilization, or a support team waiting for tickets that never come. That’s not readiness. That’s idle cost. The second flag is declining quality. If error rates, customer complaints, or rework spike following a scale-up, then your complexity is outpacing your coordination. Third, I pay attention to cognitive load. When decision-making becomes a game of email chains and meeting marathons, it’s time to question whether you’ve created a machine that’s too complicated to steer.

There’s also the budget creep test. If your capacity spending increases by more than 10 percent quarter over quarter without corresponding growth in throughput, you’re not scaling—you’re inflating. And in inflation, as in business, value gets diluted.

One way to guard against this is by treating architectural reserves like financial ones. You wouldn’t deploy your full cash reserve just because an opportunity looks interesting. You’d wait for evidence. Similarly, system buffers should be sized relative to forecast volatility, not organizational ambition. A modest buffer is prudent. An oversized one is expensive insurance.

Some companies fall into the trap of building for the market they hope to serve, not the one they actually have. They build as if the future were guaranteed. But the future rarely offers such certainty. A better strategy is to let the market pull capacity from you. When customers stretch your systems, then you invest. Not because it’s a bet, but because it’s a reaction to real demand.

There’s a final point worth making here. Scaling decisions are not one-time events. They are sequences of bets, each informed by updated evidence. You must remain agile enough to revise the plan. Quarterly evaluations, architectural reviews, and scenario testing are the boardroom equivalent of course correction. Just as pilots adjust mid-flight, companies must recalibrate as assumptions evolve.

To bring this down to earth, let me share a brief story. A fintech platform I advised once found itself growing at 80 percent quarter over quarter. Flush with success, they expanded their server infrastructure by 200 percent in a single quarter. For a while, it worked. But then something odd happened. Performance didn’t improve. Latency rose. Error rates jumped. Why? Because they hadn’t scaled the right parts. The orchestration layer, not the compute layer, was the bottleneck. Their added capacity actually increased system complexity without solving the real issue. It took a re-architecture, and six months of disciplined rework, to get things back on track. The lesson: scaling the wrong node is worse than not scaling at all.

In conclusion, scale is not the enemy. But ungoverned scale is. The real challenge is not growth, but precision. Knowing when to add, where to reinforce, and—perhaps most crucially—when to stop. If we build systems with care, monitor them with discipline, and remain intellectually honest about what’s working, we give ourselves the best chance to grow not just bigger, but better.

And that, to borrow a phrase from capital markets, is how you compound wisely.

Chaos as a system: New Framework

Chaos is not an unordered phenomenon. There is a certain homeostatic mechanism at play that forces a system that might have inherent characteristics of a “chaotic” process to converge to some sort of stability with respect to predictability and parallelism. Our understanding of order which is deemed to be opposite of chaos is the fact that there is a shared consensus that the system will behave in an expected manner. Hence, we often allude to systems as being “balanced” or “stable” or “in order” to spotlight these systems. However, it is also becoming common knowledge in the science of chaos that slight changes in initial conditions in a system can emit variability in the final output that might not be predictable. So how does one straddle order and chaos in an observed system, and what implications does this process have on ongoing study of such systems?

line chaos

Chaotic systems can be considered to have a highly complex order. It might require the tools of pure mathematics and extreme computational power to understand such systems. These tools have invariably provided some insights into chaotic systems by visually representing outputs as re-occurrences of a distribution of outputs related to a given set of inputs. Another interesting tie up in this model is the existence of entropy, that variable that taxes a system and diminishes the impact on expected outputs. Any system acts like a living organism: it requires oodles of resources to survive and a well-established set of rules to govern its internal mechanism driving the vector of its movement. Suddenly, what emerges is the fact that chaotic systems display some order while subject to an inherent mechanism that softens its impact over time. Most approaches to studying complex and chaotic systems involve understanding graphical plots of fractal nature, and bifurcation diagrams. These models illustrate very complex re occurrences of outputs directly related to inputs. Hence, complex order occurs from chaotic systems.

A case in point would be the relation of a population parameter in the context to its immediate environment. It is argued that a population in an environment will maintain a certain number and there would be some external forces that will actively work to ensure that the population will maintain at that standard number. It is a very Malthusian analytic, but what is interesting is that there could be some new and meaningful influences on the number that might increase the scale. In our current meaning, a change in technology or ingenuity could significantly alter the natural homeostatic number. The fact remains that forces are always at work on a system. Some systems are autonomic – it self-organizes and corrects itself toward some stable convergence. Other systems are not autonomic and once can only resort to the laws of probability to get some insight into the possible outputs – but never to a point where there is a certainty in predictive prowess.

embrace chaos

Organizations have a lot of interacting variables at play at any given moment. In order to influence the organization behavior or/and direction, policies might be formulated to bring about the desirable results. However, these nudges toward setting off the organization in the right direction might also lead to unexpected results. The aim is to foresee some of these unexpected results and mollify the adverse consequences while, in parallel, encourage the system to maximize the benefits. So how does one effect such changes?

Zone-of-complexity-transition-between-stability-and-chaos

It all starts with building out an operating framework. There needs to be a clarity around goals and what the ultimate purpose of the system is. Thus there are few objectives that bind the framework.

  1. Clarity around goals and the timing around achieving these goals. If there is no established time parameter, then the system might jump across various states over time and it would be difficult to establish an outcome.
  2. Evaluate all of the internal and external factors that might operate in the framework that would impact the success of organizational mandates and direction. Identify stasis or potential for stasis early since that mental model could stem the progress toward a desirable impact.
  3. Apply toll gates strategically to evaluate if the system is proceeding along the lines of expectation, and any early aberrations are evaluated and the rules are tweaked to get the system to track on a desirable trajectory.
  4. Develop islands of learning across the path and engage the right talent and other parameters to force adaptive learning and therefore a more autonomic direction to the system.
  5. Bind the agents and actors in the organization to a shared sense of purpose within the parameter of time.
  6. Introduce diversity into the framework early in the process. The engagement of diversity allows the system to modulate around a harmonic mean.
  7. Finally, maintain a well document knowledge base such that the accretive learning that results due to changes in the organization become springboard for new initiatives that reduces the costs of potential failures or latency in execution.
  8. Encouraging the leadership to ensure that the vector is pointed toward the right direction at any given time.

 

Once a framework and the engagement rules are drawn out, it is necessary to rely on the natural velocity and self-organization of purposeful agents to move the agenda forward, hopefully with little or no intervention. A mechanism of feedback loops along the way would guide the efficacy of the direction of the system. The implications is that the strategy and the operations must be aligned and reevaluated and positive behavior is encouraged to ensure that the systems meets its objective.

edge of chaos

However, as noted above, entropy is a dynamic that often threatens to derail the system objective. There will be external or internal forces constantly at work to undermine system velocity. The operating framework needs to anticipate that real possibility and pre-empt that with rules or introduction of specific capital to dematerialize these occurrences. Stasis is an active agent that can work against the system dynamic. Stasis is the inclination of agents or behaviors that anchors the system to some status quo – we have to be mindful that change might not be embraced and if there are resistors to that change, the dynamic of organizational change can be invariably impacted. It will take a lot more to get something done than otherwise needed. Identifying stasis and agents of stasis is a foundational element

While the above is one example of how to manage organizations in the shadows of the properties of how chaotic systems behave, another example would be the formulation of strategy of the organization in responses to external forces. How do we apply our learnings in chaos to deal with the challenges of competitive markets by aligning the internal organization to external factors? One of the key insights that chaos surfaces is that it is nigh impossible for one to fully anticipate all of the external variables, and leaving the system to dynamically adapt organically to external dynamics would allow the organization to thrive. To thrive in this environment is to provide the organization to rapidly change outside of the traditional hierarchical expectations: when organizations are unable to make those rapid changes or make strategic bets in response to the external systems, then the execution value of the organization diminishes.

Margaret Wheatley in her book Leadership and the New Science: Discovering Order in a Chaotic World Revised says, “Organizations lack this kind of faith, faith that they can accomplish their purposes in various ways and that they do best when they focus on direction and vision, letting transient forms emerge and disappear. We seem fixated on structures…and organizations, or we who create them, survive only because we build crafty and smart—smart enough to defend ourselves from the natural forces of destruction. Karl Weick, an organizational theorist, believes that “business strategies should be “just in time…supported by more investment in general knowledge, a large skill repertoire, the ability to do a quick study, trust in intuitions, and sophistication in cutting losses.”

We can expand the notion of a chaos in a system to embrace the bigger challenges associated with environment, globalization, and the advent of disruptive technologies.

One of the key challenges to globalization is how policy makers would balance that out against potential social disintegration. As policies emerge to acknowledge the benefits and the necessity to integrate with a new and dynamic global order, the corresponding impact to local institutions can vary and might even lead to some deleterious impact on those institutions. Policies have to encourage flexibility in local institutional capability and that might mean increased investments in infrastructure, creating a diverse knowledge base, establishing rules that govern free but fair trading practices, and encouraging the mobility of capital across borders. The grand challenges of globalization is weighed upon by government and private entities that scurry to create that continual balance to ensure that the local systems survive and flourish within the context of the larger framework. The boundaries of the system are larger and incorporates many more agents which effectively leads to the real possibility of systems that are difficult to be controlled via a hierarchical or centralized body politic Decision making is thus pushed out to the agents and actors but these work under a larger set of rules. Rigidity in rules and governance can amplify failures in this process.

18-19-Chaos-Sun-Tzu_web

Related to the realities of globalization is the advent of the growth in exponential technologies. Technologies with extreme computational power is integrating and create robust communication networks within and outside of the system: the system herein could represent nation-states or companies or industrialization initiatives. Will the exponential technologies diffuse across larger scales quickly and will the corresponding increase in adoption of new technologies change the future of the human condition? There are fears that new technologies would displace large groups of economic participants who are not immediately equipped to incorporate and feed those technologies into the future: that might be on account of disparity in education and wealth, institutional policies, and the availability of opportunities. Since technologies are exponential, we get a performance curve that is difficult for us to understand. In general, we tend to think linearly and this frailty in our thinking removes us from the path to the future sooner than later. What makes this difficult is that the exponential impact is occurring across various sciences and no one body can effectively fathom the impact and the direction. Bill Gates says it well “We always overestimate the change that will occur in the next two years and underestimate the change that will occur in the next ten. Don’t let yourself be lulled into inaction.” Does chaos theory and complexity science arm us with a differentiated tool set than the traditional toolset of strategy roadmaps and product maps? If society is being carried by the intractable and power of the exponent in advances in technology, than a linear map might not serve to provide the right framework to develop strategies for success in the long-term. Rather, a more collaborative and transparent roadmap to encourage the integration of thoughts and models among the actors who are adapting and adjusting dynamically by the sheer force of will would perhaps be an alternative and practical approach in the new era.

warming-2370285_1280-e1498720818354-770x433

Lately there has been a lot of discussion around climate change. It has been argued, with good reason and empirical evidence, that environment can be adversely impacted on account of mass industrialization, increase in population, resource availability issues, the inability of the market system to incorporate the cost of spillover effects, the adverse impact of moral hazard and the theory of the commons, etc. While there are demurrers who contest the long-term climate change issues, the train seems to have already left the station! The facts do clearly reflect that the climate will be impacted. Skeptics might argue that science has not yet developed a precise predictive model of the weather system two weeks out, and it is foolhardy to conclude a dystopian future on climate fifty years out. However, the alternative argument is that our inability to exercise to explain the near-term effects of weather changes and turbulence does not negate the existence of climate change due to the accretion of greenhouse impact. Boiling a pot of water will not necessarily gives us an understanding of all of the convection currents involved among the water molecules, but it certainly does not shy away from the fact that the water will heat up.

Internal versus External Scale

This article discusses internal and external complexity before we tee up a more detailed discussion on internal versus external scale. This chapter acknowledges that complex adaptive systems have inherent internal and external complexities which are not additive. The impact of these complexities is exponential. Hence, we have to sift through our understanding and perhaps even review the salient aspects of complexity science which have already been covered in relatively more detail in earlier chapter. However, revisiting complexity science is important, and we will often revisit this across other blog posts to really hit home the fundamental concepts and its practical implications as it relates to management and solving challenges at a business or even a grander social scale.

scale

A complex system is a part of a larger environment. It is a safe to say that the larger environment is more complex than the system itself. But for the complex system to work, it needs to depend upon a certain level of predictability and regularity between the impact of initial state and the events associated with it or the interaction of the variables in the system itself. Note that I am covering both – complex physical systems and complex adaptive systems in this discussion. A system within an environment has an important attribute: it serves as a receptor to signals of external variables of the environment that impact the system. The system will either process that signal or discard the signal which is largely based on what the system is trying to achieve. We will dedicate an entire article on system engineering and thinking later, but the uber point is that a system exists to serve a definite purpose. All systems are dependent on resources and exhibits a certain capacity to process information. Hence, a system will try to extract as many regularities as possible to enable a predictable dynamic in an efficient manner to fulfill its higher-level purpose.

compl pro

Let us understand external complexities. We can interchangeably use the word environmental complexity as well.  External complexity represents physical, cultural, social, and technological elements that are intertwined. These environments beleaguered with its own grades of complexity acts as a mold to affect operating systems that are mere artifacts. If operating systems can fit well within the mold, then there is a measure of fitness or harmony that arises between an internal complexity and external complexity. This is the root of dynamic adaptation. When external environments are very complex, that means that there are a lot of variables at play and thus, an internal system has to process more information in order to survive. So how the internal system will react to external systems is important and they key bridge between those two systems is in learning. Does the system learn and improve outcomes on account of continuous learning and does it continually modify its existing form and functional objectives as it learns from external complexity? How is the feedback loop monitored and managed when one deals with internal and external complexities? The environment generates random problems and challenges and the internal system has to accept or discard these problems and then establish a process to distribute the problems among its agents to efficiently solve those problems that it hopes to solve for. There is always a mechanism at work which tries to align the internal complexity with external complexity since it is widely believed that the ability to efficiently align the systems is the key to maintaining a relatively competitive edge or intentionally making progress in solving a set of important challenges.

Internal complexity are sub-elements that interact and are constituents of a system that resides within the larger context of an external complex system or the environment. Internal complexity arises based on the number of variables in the system, the hierarchical complexity of the variables, the internal capabilities of information pass-through between the levels and the variables, and finally how it learns from the external environment. There are five dimensions of complexity: interdependence, diversity of system elements, unpredictability and ambiguity, the rate of dynamic mobility and adaptability, and the capability of the agents to process information and their individual channel capacities.

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If we are discussing scale management, we need to ask a fundamental question. What is scale in the context of complex systems? Why do we manage for scale? How does management for scale advance us toward a meaningful outcome? How does scale compute in internal and external complex systems? What do we expect to see if we have managed for scale well? What does the future bode for us if we assume that we have optimized for scale and that is the key objective function that we have to pursue?

Scaling Considerations in Complex Systems and Organizations: Implications

Scale represents size. In a two-dimensional world, it is a linear measurement that presents a nominal ordering of numbers. In other words, 4 is two times two and 6 would be 3 times two. In other words, the difference between 4 and 6 represents an increase in scale by two. We will discuss various aspects of scale and the learnings that we can draw from it. However, before we go down this path, we would like to touch on resource consumption.

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As living organisms, we consume resources. An average human being requires 2000 calories of food per day to sustain themselves. An average human being, by the way, is largely defined in terms of size. So it would be better put if we say that a 200lb person would require 2000 calories. However, if we were to regard a specimen that is 10X the size or 2000 lbs., would it require 10X the calories to sustain itself? Conversely, if the specimen was 1/100th the size of the average human being, then would it require 1/100th the calories to sustain itself. Thus, will we consume resources linearly to our size? Are we operating in a simple linear world? And if not, what are the ramifications for science, physics, biology, organizations, cities, climate, etc.?

Let us digress a little bit from the above questions and lay out a few interesting facts. Almost half of the population in the world today live in cities. This is compared to less than 15% of the world population that lived in cities a hundred years ago.  It is anticipated that almost 75% of the world population will be living in cities by 2050. The number of cities will increase and so will the size. But for cities to increase in size and numbers, it requires vast amount of resources. In fact, the resource requirements in cities are far more extensive than in agrarian societies. If there is a limit to the resources from a natural standpoint – in other words, if the world is operating on a budget of natural resources – then would this mean that the growth of the cities will be naturally reined in? Will cities collapse because of lack of resources to support its mass?

What about companies? Can companies grow infinitely?  Is there a natural point where companies might hit their limit beyond which growth would not be possible? Could a company collapse because the amount of resources that is required to sustain the size would be compromised? Are there other factors aside from resource consumption that play into what might cap the growth and hence the size of the company? Are there overriding factors that come into play that would superimpose the size-resource usage equation such that our worries could be safely kept aside? Are cities and companies governed by some sort of metabolic rate that governs the sustenance of life?

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Geoffrey West, a theoretical physicist, has touched on a lot of the questions in his book: Scale: The Universal Laws of Growth, Innovation, Sustainability, and the Pace of Life in Organisms, Cities, Economies, and Companies.     He says that a person requires about 90W (watts) of energy to survive. That is a light bulb burning in your living room in one day.  That is our metabolic rate. However, just like man does not live by bread alone, an average man has to depend on a number of other artifacts that have agglomerated in bits and pieces to provide a quality of life to maximize sustenance. The person has to have laws, electricity, fuel, automobile, plumbing and water, markets, banks, clothes, phones and engage with other folks in a complex social network to collaborate and compete to achieve their goals. Geoffrey West says that the average person requires almost 11000W or the equivalent of almost 125 90W light bulbs. To put things in greater perspective, the social metabolic rate of 11,000W is almost equivalent to a dozen elephants.  (An elephant requires 10X more energy than humans even though they might be 60X the size of the physical human being). Thus, a major portion of our energy is diverted to maintain the social and physical network that closely interplay to maintain our sustenance.  And while we consume massive amounts of energy, we also create a massive amount of waste – and that is an inevitable outcome. This is called the entropy impact and we will touch on this in greater detail in later articles. Hence, our growth is not only constrained by our metabolic rate: it is further dampened by entropy that exists as the Second Law of Thermodynamics.   And as a system ages, the impact of entropy increases manifold. Yes, it is true: once we get old, we are racing toward our death at a faster pace than when we were young. Our bodies are exhibiting fatigue faster than normal.

Scaling refers to how a system responds when its size changes. As mentioned  earlier, does scaling follow a linear model? Do we need to consume 2X resources if we increase the size by 2X? How does scaling impact a Complex Physical System versus a Complex Adaptive System? Will a 2X impact on the initial state create perturbations in a CPS model which is equivalent to 2X? How would this work on a CAS model where the complexity is far from defined and understood because these systems are continuously evolving? Does half as big requires half as much or conversely twice as big requires twice as much? Once again, I have liberally dipped into this fantastic work by Geoffrey West to summarize, as best as possible, the definitions and implications. He proves that we cannot linearly extrapolate energy consumption and size: the world is smattered with evidence that undermines the linear extrapolation model. In fact, as you grow, you become more efficient with respect to energy consumption. The savings of energy due to growth in size is commonly called the economy of scale. His research also suggests two interesting results. When cities or social systems grow, they require an infrastructure to help with the growth. He discovered that it takes 85% resource consumption to grow the systems by 100%. Thus, there is a savings of 15% which is slightly lower than what has been studied on the biological front wherein organisms save 25% as they grow. He calls this sub linear scaling. In contrast, he also introduces the concept of super linear scaling wherein there is a 15% increasing returns to scale when the city or a social system grows. In other words, if the system grows by 100%, the positive returns with respect to such elements like patents, innovation, etc.   will grow by 115%. In addition, the negative elements also grow in an equivalent manner – crime, disease, social unrest, etc. Thus, the growth in cities are supported by an efficient infrastructure that generates increasing returns of good and bad elements.

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Max Kleiber, a Swiss chemist, in the 1930’s proposed the Kleiber’s law which sheds a lot of light on metabolic rates as energy consumption per unit of time. As mass increases so does the overall metabolic rate but it is not a linear relation – it obeys the power law. It stays that a living organism’s metabolic rate scales to the ¾ power of its mass. If the cat has a mass 100 times that of a mouse, the cat will metabolize about 100 ¾ = 31.63 times more energy per day rather than 100 times more energy per day.  Kleiber’s law has led to the metabolic theory of energy and posits that the metabolic rate of organisms is the fundamental biological rate that governs most observed patters in our immediate ecology. There is some ongoing debate on the mechanism that allows metabolic rate to differ based on size. One mechanism is that smaller organisms have higher surface area to volume and thus needs relatively higher energy versus large organisms that have lower surface area to volume. This assumes that energy consumption occurs across surface areas. However, there is another mechanism that argues that energy consumption happens when energy needs are distributed through a transport network that delivers and synthesizes energy. Thus, smaller organisms do not have as a rich a network as large organisms and thus there is greater energy efficiency usage among smaller organisms than larger organisms. Either way, the implications are that body size and temperature (which is a result of internal activity) provide fundamental and natural constraints by which our ecological processes are governed. This leads to another concept called finite time singularity which predicts that unbounded growth cannot be sustained because it would need infinite resources or some K factor that would allow it to increase. The K factor could be innovation, a structural shift in how humans and objects cooperate, or even a matter of jumping on a spaceship and relocating to Mars.

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We are getting bigger faster. That is real. The specter of a dystopian future hangs upon us like the sword of Damocles. The thinking is that this rate of growth and scale is not sustainable since it is impossible to marshal the resources to feed the beast in an adequate and timely manner. But interestingly, if we were to dig deeper into history – these thoughts prevailed in earlier times as well but perhaps at different scale. In 1798 Thomas Robert Malthus famously predicted that short-term gains in living standards would inevitably be undermined as human population growth outstripped food production, and thereby drive living standards back toward subsistence. Humanity thus was checkmated into an inevitable conclusion: a veritable collapse spurred by the tendency of population to grow geometrically while food production would increase only arithmetically. Almost two hundred years later, a group of scientists contributed to the 1972 book called Limits to Growth which had similar refrains like Malthus: the population is growing and there are not enough resources to support the growth and that would lead to the collapse of our civilization. However, humanity has negotiated those dark thoughts and we continue to prosper. If indeed, we are governed by this finite time singularity, we are aware that human ingenuity has largely won the day. Technology advancements, policy and institutional changes, new ways of collaboration, etc. have emerged to further delay this “inevitable collapse” that could be result of more mouths to feed than possible.  What is true is that the need for new innovative models and new ways of doing things to solve the global challenges wrought by increased population and their correspondent demands will continue to increase at a quicker pace. Once could thus argue that the increased pace of life would not be sustainable. However, that is not a plausible hypothesis based on our assessment of where we are and where we have been.

Let us turn our attention to a business. We want the business to grow or do we want the business to scale? What is the difference? To grow means that your company is adding resources or infrastructure to handle increased demand, at a cost which is equivalent to the level of increased revenue coming in. Scaling occurs when the business is growing faster than the resources that are being consumed. We have already explored that outlier when you grow so big that you are crushed by your weight. It is that fact which limits the growth of organism regardless of issues related to scale. Similarly, one could conceivably argue that there are limits to growth of a company and might even turn to history and show that a lot of large companies of yesteryears have collapsed. However, it is also safe to say that large organizations today are by several factors larger than the largest organizations in the past, and that is largely on account of accumulated knowledge and new forms of innovation and collaboration that have allowed that to happen. In other words, the future bodes well for even larger organizations and if those organizations indeed reach those gargantuan size, it is also safe to draw the conclusion that they will be consuming far less resources relative to current organizations, thus saving more energy and distributing more wealth to the consumers.

Thus, scaling laws limit growth when it assumes that everything else is constant. However, if there is innovation that leads to structural changes of a system, then the limits to growth becomes variable. So how do we effect structural changes? What is the basis? What is the starting point? We look at modeling as a means to arrive at new structures that might allow the systems to be shaped in a manner such that the growth in the systems are not limited by its own constraints of size and motion and temperature (in physics parlance).  Thus, a system is modeled at a presumably small scale but with the understanding that as the system is increases in size, the inner workings of emergent complexity could be a problem. Hence, it would be prudent to not linearly extrapolate the model of a small system to that of a large one but rather to exponential extrapolate the complexity of the new system that would emerge. We will discuss this in later articles, but it would be wise to keep this as a mental note as we forge ahead and refine our understanding of scale and its practical implications for our daily consumption.