The complex systems approach

Complex Systems Approach

Rather than reading indicators one at a time, we treat the relationships between them as the unit of analysis.

What a single indicator cannot show

Reading one indicator, compared with reading the relationships between them On the left, a single line is being watched and everything sits within the normal range. On the right, five indicators are connected in a network, and the point where several factors overlap is marked as dangerous. Watching one indicator Reading the relationships upper limit All within range loadfatigue sleepschedulehistory Dangerous when they overlap

Factors that each sit within normal range can combine into a dangerous one.

Why football is a complex system

Several factors act at once

A player’s state is set by load, sleep, schedule and injury history acting together.

The same input produces different responses

After the same session, where fatigue shows and how much differs from player to player.

It does not add up in a straight line

The factors affect one another, so adding the individual numbers does not explain the whole.

How we analyse

The three steps of the analysis Three stages connected by arrows: collect, measure the relationships, read the state. 010203 CollectMeasureRead gather indicators across sources estimate how strongly they relate read it as that player’s own pattern

More on the thinking behind this

More on the thinking behind this

A complex system is one in which many parts interact, and the whole takes on properties none of the parts has on its own. Two properties matter most: emergence and nonlinearity.

Emergence

The whole produces what the parts do not

A single neuron has no consciousness. A brain of countless connected neurons does. The whole cannot be predicted from the properties of the parts.

In football Eleven star players do not make the strongest team. A squad’s strength comes from how the players connect, not from their individual ability.
Nonlinearity

Small changes make large differences

A slight change in sea temperature can alter weather across the planet. Input and output are not proportional: past a threshold, the whole system starts behaving differently.

In football Small amounts of daily fatigue accumulate and then surface, one day, as an injury. Moving one player can change how the whole team functions.
More is different.
P. W. Anderson, physicist and Nobel laureate, 1972 — the paper that set complex systems science going
If you avoid complexity, you cannot improve anything.
Francisco Seirul·lo, former physical coach, FC Barcelona

This view is not ours to claim

Reading football as a complex system is an established direction in sport science research and at the top of the game.

Ecological Dynamics

A framework that does not separate the player from the environment, taking the interaction between them as the unit for skill acquisition and tactical behaviour. It has become a mainstream influence on training design.1

Research on emergent pattern formation

Work that treats a team as a superorganism, quantifying the collective structure that emerges from synchronisation and coordination between players using network and dynamical-systems methods.2

Positional play

Modern tactics have moved from placing individuals to designing relationships. Positional and numerical advantage only exist in relation to team-mates and opponents.

1. Ecological Dynamics, a framework for motor learning and skill acquisition developed by K. Davids, D. Araújo and others.

2. For example Duarte, R. et al. (2012) “Sports teams as superorganisms”, among a wider body of work on collective behaviour in team sports.

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