# A theoretical model for realistic local climates

## TL;DR

This paper introduces a nonlinear theoretical model that predicts local surface climate conditions, accurately reproducing features like seasonal lag and daily temperature asymmetries, adaptable to different planetary parameters.

## Contribution

The paper presents a new nonlinear climate model incorporating solar forcing, land-ocean differences, and humidity, with validation against real Earth climate data.

## Key findings

- Model accurately reproduces Earth's climate features
- Parameters aligned with Köppen climate zones improve accuracy
- Adaptable to planets with different astronomical parameters

## Abstract

We write a nonlinear model that predicts the climate (temperature and humidity) on the surface of a small region on Earth, perform numerical investigations using the model, and compare the results to real climate on a variety of regions on Earth. It the parameters are chosen keeping into consideration the climatic K\"oppen zone to which the region belongs, the numerical model accurately reproduces the real climate. The model takes into account the doubly-periodic forcing of the solar radiation (annual and daily), the laws of irradiance, the fact that the Earth has land and oceans with different thermic inertia, and the humidity of the air due to evaporation. This enables us to reproduce remarkable features of Earth's climate such as lag of seasons, lag of noons, and asymmetric evolution of daily temperatures. The model can easily be adapted to planets with non-terrestrial astronomic parameters. We conclude this article with an investigation of an Earth with eccentricity higher than real.