Equation 1 · Part 3 · The Bandwidth of Culture: Transmission Fidelity to 2100

Symbol C_t

C_{t+1} = \rho_t C_t + I_t - L_t

C_t

What this part means

the stock of cultural complexity in circulation at time t.

Its job in the formula

$C_t$ is one of the signed contributions combined to compute the quantity on the left.

Full expressionSymbol C_tArticle meaning

Where the article explains it

Here $C_t$ is the stock of cultural complexity in circulation at time t ; $\rho_t$ $\in$ [0,1] is the transmission-fidelity coefficient — the share of $C_t$ that survives one round of copying, the same quantity Henrich’s Tasmania case shows collapsing when the effective transmitting population shrinks; $I_t$ is genuinely new human innovation entering the pool; and $L_t$ is loss from forgetting, obsolescence, or population decline.

The passage around this formula

…is this period’s complexity that survived transmission, plus whatever genuinely new content was added, minus whatever was lost to forgetting or to a shrinking population of transmitters: $C_{t+1} = \rho_t C_t + I_t - L_t$ . Here $C_t$ is the stock of cultural complexity in circulation at time t ; $\rho_t$ $\in$ [0,1] is the transmission-fidelity coefficient — the share of $C_t$ that survives one round of copying, the same quantity Henrich’s Tasmania case shows collapsing when the effective transmitting population shrinks; $I_t$ is…

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Learn the underlying idea

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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