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Supervivencia vs. sobrevivencia

In Spanish, both supervivencia and sobrevivencia refer to the action and effect of surviving. While they are often synonymous, there is a distinct difference in their acceptance, frequency, and regional usage. Supervivencia is the standard, authoritative term, whereas sobrevivencia is a valid variant predominately used in Latin America.

Supervivencia

B1
This is the most common, standard, and academically preferred term for strict survival. It is used in all Spanish-speaking regions but is the exclusive standard in Spain. It is the correct choice for fixed expressions and technical contexts, such as biology, medicine, or legal matters.
El instinto de supervivencia hizo que corriera sin mirar atrás.
(The survival instinct made him run without looking back.)
Debes llevar un kit de supervivencia si vas a la montaña.
(You must take a survival kit if you go to the mountains.)
La tasa de supervivencia de los pacientes ha aumentado este año.
(The survival rate of the patients has increased this year.)
Darwin escribió sobre la supervivencia del más apto.
(Darwin wrote about the survival of the fittest.)
La empresa lucha por su supervivencia en el mercado actual.
(The company fights for its survival in the current market.)

Sobrevivencia

B2
This word derives directly from the verb sobrevivir (to survive). While traditionally considered incorrect by purists, it is now accepted due to widespread usage, particularly in Latin America (e.g., Mexico, Chile). It generally refers to the mere act of staying alive or getting by, but is rarely used in standard fixed phrases like survival kit.
Para muchas familias, la vida es una diaria lucha por la sobrevivencia.
(For many families, life is a daily struggle for survival.)
La sobrevivencia del grupo indígena depende de la protección de sus tierras.
(The survival of the indigenous group depends on the protection of their lands.)
Es una historia increíble de dolor y sobrevivencia.
(It is an incredible story of pain and survival.)
Su capacidad de sobrevivencia en la selva fue asombrosa.
(His capacity for survival in the jungle was amazing.)
Hablamos sobre la sobrevivencia económica del país.
(We spoke about the economic survival of the country.)

Summary

The main difference lies in standardization and region. Supervivencia is the universally correct term, preferred in Spain and mandatory for collocations like survival instinct (instinto de supervivencia). Sobrevivencia is a common regional variant in Latin America derived morphologically from the verb sobrevivir. When in doubt, use supervivencia as it is correct in every context.