public class ChunkReader : MonoBehaviour
{
    public int chunk_width = 128;
    public int chunk_height = 64;

    public int map_width = 2048;
    public int map_height = 1024;

    public Texture2D HeightMap;

    private int chunk_count = 0;

    //private int CurXChunk, CurYChunk; //Which chunk are we parsing?
    private void Start()
    {
        HeightMap = Resources.Load("EarthBumpMap") as Texture2D;
        //LoadChunk(0, 0);
        LoadChunks(map_width, map_height);
    }
    void LoadChunks(int map_width, int map_height)
    {
        for(int i = 0; i < map_width; i+=chunk_width)
        {
            for(int j = 0; j < map_width; j+=chunk_height)
            {
                LoadChunk(i, j);
            }
        }
    }

    void LoadChunk(int chunk_x, int chunk_y)
    {
        List<Vector3> verts = new List<Vector3>();
        List<int> tris = new List<int>();

        //Bottom left section of the map, other sections are similar
        for (int i = chunk_x; i < chunk_width; i++)
        {
            for (int j = chunk_y; j < chunk_height; j++)
            {
                //Add each new vertex in the plane
                verts.Add(new Vector3(i, HeightMap.GetPixel(i, j).grayscale * 100, j));
                //Skip if a new square on the plane hasn't been formed
                if (i == 0 || j == 0) continue;
                //Adds the index of the three vertices in order to make up each of the two tris
                tris.Add(chunk_height * i + j); //Top right
                tris.Add(chunk_height * i + j - 1); //Bottom right
                tris.Add(chunk_height * (i - 1) + j - 1); //Bottom left - First triangle
                tris.Add(chunk_height * (i - 1) + j - 1); //Bottom left 
                tris.Add(chunk_height * (i - 1) + j); //Top left
                tris.Add(chunk_height * i + j); //Top right - Second triangle
            }
        }

        Vector2[] uvs = new Vector2[verts.Count];
        for (var i = 0; i < uvs.Length; i++) //Give UV coords X,Z world coords
            uvs[i] = new Vector2(verts[i].x, verts[i].z);

        GameObject plane = new GameObject("Chunk  " + chunk_count); //Create GO and add necessary components
        chunk_count++;
        plane.AddComponent<MeshFilter>();
        plane.AddComponent<MeshRenderer>();
        Mesh procMesh = new Mesh();
        procMesh.vertices = verts.ToArray(); //Assign verts, uvs, and tris to the mesh
        procMesh.uv = uvs;
        procMesh.triangles = tris.ToArray();
        procMesh.RecalculateNormals(); //Determines which way the triangles are facing
        plane.GetComponent<MeshFilter>().mesh = procMesh; //Assign Mesh object to MeshFilter
    }
    // Update is called once per frame
    void Update()
    {
    
    }
}

Basically, I'm trying to load a map into my game using Unity3D using the above code and the below-linked heightmap, but only the first chunk (at 0,0) actually loads, and the rest don't render for whatever reason. I really don't understand what I'm doing wrong. Probably super basic.

As you can see below, Chunk 0 generates fine, but all concurrent chunks generate with no functional mesh and at the exact same location.