social behavior. This is because "predictors are part of the social context about which they are trying to make a prediction and may influence that context in the process". For example, a forecast that a large percentage of a population will become HIV infected based on existing trends may cause more people to avoid risky behavior and thus reduce the HIV infection rate, invalidating the forecast (which might have remained correct if it had not been publicly known). Or, a prediction that cybersecurity will become a major issue may cause organizations to implement more security cybersecurity measures, thus limiting the issue. Performance limits of fluid dynamics equations As proposed by Edward Lorenz in 1963, long range weather forecasts, those made at a range of two weeks or more, are impossible to definitively predict the state of the atmosphere, owing to the chaotic nature of the fluid dynamics equations involved. Extremely small errors in the initial input, such as temperatures and winds, within numerical models double every five days. See also Accelerating change Cash flow forecasting Cliodynamics Collaborative planning, forecasting, and replenishment Earthquake prediction Economic forecasting Energy forecasting Forecasting bias Foresight (future studies) Frequency spectrum Futures studies Futurology Kondratiev wave Least squares Least-squares spectral analysis Optimism bias Planning Prediction Predictive analytics Risk management Scenario planning Spending wave Strategic foresight Technology forecasting Thucydides Trap Time series Weather forecasting Wind power forecasting References Sources . External links Forecasting Principles: "Evidence-based forecasting" International Institute of Forecasters Introduction to Time series Analysis (Engineering Statistics Handbook) - A practical guide to Time series analysis and forecasting Time Series Analysis Global Forecasting with IFs Earthquake Electromagnetic Precursor Research Forecasting Science and Theory of Forecasting Statistical forecasting Supply chain analytics Supply chain management Time series